money problem solving year 8

16 Money Word Problems with Solutions and Answers (By Grade)

By: Author Amanda L. Grossman

Posted on Last updated: January 9, 2024

Develop students’ money life skills plus work on math concepts with real-life money word problems with solutions and answers.

Bell ringers, math centers, classroom money pickles, daily warm-ups…you can sneak these money word problems with solutions and answers into your student’s day in lots of different ways.

Or, make them the highlight of your 30-minute personal finance session – use whatever time you’ve got.  

The exciting thing about using money word problems and consumer math worksheets is you’re giving your students the chance to practice both math AND money life skills they’ll be able to use out in the wilds of the “real world” (like in the produce section of the super market).

Awesome! Let’s dig in.

Money Word Problems with Solutions and Answers

Money word problems can begin as early as 2 nd grade with simple addition and subtraction.

And they get increasingly more complex – two steps, then multiple steps, and more complex thinking – as students go through middle school and then high school.

We’ll start with the easier money word problems, and move into more complex ones, by grade.

Psst: do your students need a refresher on counting money or identifying coins? Here are free 2 nd grade money worksheets , 14 money counting games , and a bunch of free consumer math worksheets .

Money Word Problems Grade 3

While there’s no mention of money for Grade 3 Common Core Standards , you can relate several of the math standards to money word problems.

Teaching students math AND money life skills at the same time? #winning.

For example:

• Number and Operations in Base Ten (CCSS.MATH.CONTENT.3.NBT.A.2) : Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.
• Operations and Algebraic Thinking (CCSS.MATH.CONTENT.3.OA.D.8) : Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.

Here are some worksheets with money word problems to help your students practice these concepts.

1. Money Task Cards + Scavenger Hunt

This free set of money task cards each has mostly one-step money word problems on them.

You can cut them out, and do a scavenger hunt around the room to get students up and moving. OR, she has lots of other ideas for how to use them. There’s also a worksheet asking students to come up with their own money word problem using specific amounts.

Very helpful!

2. Money Shopping Word Problems

Scroll down on this page, and you’ll find a nice collection of shopping money word problem worksheets for free.

Students will work through:

• Adding up the cost of ordered items from a menu
• Calculating their change after an order
• Calculating sales tax

They’ve also got some good free worksheets on Wage word problems, simple and compound interest calculation word problems, etc.

Hint: there’s worksheets in here for older grades, too.

Two-Step Money Word Problems for 3 rd Graders

You likely saw above that third graders are supposed to be doing two-step word problems.

Two-step money word problems require two calculations to complete them. They’re not entirely straightforward – your students will need to think things through a bit more before they can come up with the correct answer.

3. Money Within $100 Word Problems

Get your set of 5 free, two-step money word problems within $100. Each word problem has space to draw and work through the problem.

4. Simple Two-Step Money Word Problems

Here’s a three-page set of two-step money word problems that have students add up the total amount of spending, then figure out how much change they should get back.

There are spaces for students to work out each of the two steps.

Hint: this is a free set of money word problems, but you’ll need a free Teachers Pay Teachers account to access it.

5. August Problem Solving Path Worksheets

I just love the real-world approach this packet of word problems takes.

She includes a math journal for each problem (there is one money word problem, and the rest are word problems involving other common core standards for 3 rd graders), and a rubric on the math journal sheet so that you can easily grade based on your student’s work.

There’s both a US and a UK version.

6. Two Simple Two-Step Money Word Problems

And here’s another set of two-step money word problems for 2 nd -4 th graders. Again, kids are asked to add up the total cost of items purchased, then calculate how much change they would get back.

7. Can I Buy It? Word Problems

If you’re looking for an easier set of two-step word problems for your bunch of students, then you should check these out.

8. Mix of One-Step and Two-Step Money Word Problems

Here’s a simple worksheet that has a mix of both two-step and one-step money word problems for 3 rd graders. The theme is around ordering food items.

Money Word Problems with Solutions and Answers Grade 5

There are no Common Core State Standards for Mathematics (CCSSM) specifically for money math at the 5th grade level.

However, you can relate the math concepts in the CCSSM to real-life money scenarios with these money word problems.

• Number and Operations in Base Ten (CCSS.MATH.CONTENT.5.NBT.B.5 – B.7) : Students should be able to perform operations with multi-digit whole numbers and decimals to the hundredths (which is an essential skill when working with money).
• Operations and Algebraic Thinking (CCSS.MATH.CONTENT.5.OA.A.2) : Students should be able to understand and write expressions and equations and solve real-world and mathematical problems using addition, subtraction, multiplication, and division.

1. Bertie’s Big Win

Students are tasked with figuring out how much money Bertie won through the lottery, based on the fractional amounts he spent on various things (like a house, a trip to space, a luxury yacht, etc.).

Answer sheet is included, which is good – because this is a tough one!

Hint: they say on the website that the 4 th grade versions of his money word problems are a bit easier than the 5 th grade ones, so you might want to try those if this seems too hard for your class.

2. YMI’s Healthy Meal, Healthy Budget Worksheets

Grab your free teaching kit (for grades 3-5, then 6-8) that pairs healthy eating lessons with 5 money math word problems you’d find in the real world.

For example, the first word problem asks students to plan a meal for two people using chicken tenders as the base. They’re given the serving size for each person, then two different options to buy and asked to calculate which is the best money (by calculating the per-unit cost and then comparing that with what they get). 

Answers and explanations are provided.

3. Mixed Practice Money Word Problems

Students are given three paragraphs describing a real-life scenario that is going to cost money. Then, students are asked a series of questions below it, and will need to use multiple kinds of calculations to solve them (subtraction, addition, multiplication, etc.).

4. Value Your Power Word Problems

Here’s a set of money math worksheets tied to electricity use in the household.

In the first activity, students are asked to decipher an electricity bill. They’ll chart the kilowatts used each month of the year, and then work through a series of questions based on that information (such as calculating an average monthly cost).

There’s also a Value Your Power Scoreboard worksheet students can take home as a family challenge.

Hint: it says it’s for 4 th grade – but I suspect these would be great for some 5 th grade students anyway.

5. Thanksgiving Dinner PBL

This project for grades 3-5 starts with the following driving question:

“ I need to feed my family of six for Thanksgiving. For my meal I need an appetizer, main dish, two side dishes, a dessert, and a drink (at least). I have $175 to spend on all the ingredients and any decorations I may want. What should I make?”

Students are tasked with creating a meal plan, recipes, and a grocery list with prices.

Hint: you’ll need a free account on ShareMyLesson.com to download this free lesson plan and rubric.

Advanced Money Word Problems for Older Students

Got a group of high schoolers, or advanced middle schoolers to find money word problems for? These multi-step money word problems and money-thinkers might be just the thing.

Money Word Problem #1: Ad Sale Decode

Money Lesson : Ads aren't always truthful, or as good of a deal as they first seem.

Norgay Sherpa, a mighty Everest climber who has personally climbed to the top of Everest three times (called summitting), saw a television commercial for a pair of Black Diamond Trail Pro Shock Trekking Poles. They have non-slip grips + are collapsible (something that would be very helpful on future climbs).

He wants to purchase them, but is confused about how much his total cost will be. Here are the details for a pair of trekking poles:

• Two easy payments of $127.05
• $9.95 Shipping & Handling
• Get one extra pair free (an incredible deal!), just pay Shipping & Handling (S&H)

What is Sherpa Norgay's total cost going to be?

Answer : $274. How you get there is adding the two “easy payments” of $127.05 + $127.05 + $9.95 S&H + $9.95 S&H (for the second “free” pair).

Money Word Problem #2: Car Insurance Snafu

Money Lesson : How auto insurance works.

One of your expedition partners, Sandy, is facing a money dilemma. She called her husband over Base Camp's satellite phone and found out he was in a car accident. Don't worry, he's okay! But their family car looks like it was in an Avalanche.

Here are the details:

• The accident was her husband's fault, meaning he hit the other car.
• Her family has a liability auto insurance policy that insures both of their vehicles.
• They pay a monthly premium of $96/month.
• They took the vehicle to a repair shop, and the quote to repair their car is $875.
• They have an auto insurance deductible of $500.

How much is this car repair going to cost Sandy and her family out of their own pocket?

Answer : $875. They don't have comprehensive car insurance, and Liability Only insurance means costs to repair the other person's car will be paid, but not their own car. So, they're left to pay the full $875.

Money Word Problem #3: Foreign Currency Mix Up

Money Lesson : How to figure out the value of a US Dollar against one of the other 168 currencies in the world.

Mingma Sherpa has been an outstanding partner for your expedition team. He's done all of his duties to help you on Everest − such as setting up your tents and cooking some of your meals − and was paid 360,908.33 Nepalese Rupees for doing so.

It is common courtesy to tip your Sherpa, especially when they've done a great job. If you were to tip Mingma 51,593.24 Nepalese Rupees, how many US Dollars would that be?

Assume that 1 US dollar = 103.186 Nepalese Rupees.

Answer : $500 US Dollars. That's 51,593.24/103.186.

I hope you've found some helpful money word problems with solutions and answers. I think these can open up some fun and helpful discussions with and between students that will help them manage their money as adults.

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Calculation Money Problems

In these problems we are using the four operations (addition, subtraction, multiplication and division) in the context of money questions.

We need to work out which operation to use for each question.

Example 1: You buy 7 bananas for 23p each. Work out the total cost.

Here we have a multiplication question.

Each banana costs 23p and we have 7 bananas. We need to work out 7 × 23 We can use long multiplication.

We start with 7 × 3 7 × 3 = 21 The one goes in the ones column and the 2 is carried over to the tens.

Next is 7 × 2 7 × 2 = 14 We add on the 2 we carried over 14 + 2 = 16 The 6 goes in the tens and the 1 is carried over to the hundreds

The total cost is 161p We can convert pence to pounds and pence by dividing by 100 161p = £1.61

Example 2: You buy 8 oranges for 29p each. You pay with a £10 note. Work out how much change you should get.

Each orange costs 29p and we have 8 oranges. We need to work out 8 × 29

We start with 8 × 9 8 × 9 = 72 The 2 goes in the ones column and the 7 is carried over to the tens.

Next is 8 × 2 8 × 2 = 16 We add on the 7 we carried over 16 + 7 = 23 The 3 goes in the tens and the 2 is carried over to the hundreds

The total cost is 232p

To find the change we need to take 232p away from £10 £10 = 1000p The change will be 1000 - 232

We start with the column on the right, the ones. We do not want to take 2 away from 0 so we need to take a ten and move it to the ones We do not have any tens or hundreds We can take one thousand and move it to the hundreds, the take one hundred and move it to the tens, then take a ten and move it to the ones. 1000 = 900 + 90 + 10

We can now subtract each column, starting with the ones 10 - 2 = 8

In the tens we have 9 - 3 9 - 3 = 6

In the hundreds we have 9 - 2 9 - 2 = 7

We can convert pence to pounds and pence by dividing by 100 768p = £7.68

Example 3: You buy: 2 burgers for 1.49p each. 3 portions of chips for £1.15 each 5 drinks for £1.28 each Work out the total cost.

We need to work out the cost of the burgers, the cost of the chips and the cost of the drinks. We can then add them all together.

For the burgers we have 2 × 149 (I will do the working out in pence and convert back to pounds at the end).

We start with the ones. 2 × 9 = 18 The 8 goes in the ones and we carry the 1 over to the tens.

Next is the tens. 2 × 4 = 8 We add on the 1 we carried over 8 + 1 = 9

The final column is the hundreds. 2 × 1 = 2

2 × 149 = 298

For the chips we have 3 × 115

The first column is the ones. 3 × 5 = 15 The 5 goes in the ones and we carry the 1 over to the tens.

The next column is the tens. 3 × 1 = 3 We add the 1 we carried over 3 + 1 = 4

The last column is the hundreds. 3 × 1 = 3

3 × 115 = 345

For the drinks we have 5 × 128

The first column is the ones. 5 × 8 = 40 The 0 goes in the ones and we carry the 4 over to the tens.

The next column is the tens. 5 × 2 = 10 We add the 4 we carried over 10 + 4 = 14 The 4 goes in the tens and we carry the 1 over to the hundreds.

The next column is the hundreds. 5 × 1 = 5 We add the 1 we carried over 5 + 1 = 6

5 × 128 = 640

We can now add together the cost of the burgers, chips and drinks to find the total cost.

We need to work out 298 + 345 + 640. We can use column addition

The first column is the ones. 8 + 5 + 0 = 13 The 3 goes in the ones and we carry the 1 over to the tens.

The next column is the tens. 9 + 4 + 4 + 1 = 18 The 8 goes in the tens and we carry the 1 over to the hundreds.

The next column is the hundreds. 2 + 3 + 6 + 1 = 12 The 2 goes in the hundreds and the 1 goes in the thousands.

298 + 345 + 640 = 1283 1283 ÷ 100 = 12.83 The total cost is £12.83

Example 4: You buy a car for £9000 You pay a deposit of £3200 and the rest in 25 monthly installments. Work out the amount of each installment.

The first step in this question is to subtract the deposit of £3200 from the price to see how much is left to pay.

We need to work out 9000 - 3200

We start with the ones. 0 - 0 = 0

In the tens we also have 0 - 0 = 0

In the hundreds we have 0 - 2 We need to take one thousand and move it to the hundreds. 9000 is the same as 8000 + 1000

We now have 10 - 2 in the hundreds 10 - 2 = 8

In the thousands we have 8 - 3 8 - 3 = 5

9000 - 3200 = 5800

We have 5800 left to pay. We need to divide 5800 by 25 to work out the monthly payment. 5800 ÷ 25

We can use short division. We can write the 25 times table down the side to make the division easier.

We start with the biggest column, the thousands. 25 does not go into 5 so we carry the 5 over to the hundreds where it is worth 50.

Next is the hundreds. 25 goes into 58 twice. 25 × 2 = 50 58 - 50 = 8 We carry the 8 over to the tens (where it is worth 80).

Next is the tens. 25 goes into 80 three times. 25 × 3 = 75 80 - 75 = 5 We have 5 left over to carry over to the ones.

In the ones we have 50 25 × 2 = 50 5800 ÷ 25 = 232

The monthly installments are £232

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KS3 Money and Time (MEP – Year 8 – Unit 13)

Subject: Mathematics

Age range: 11-14

Resource type: Lesson (complete)

Last updated

29 December 2013

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Money Word Problems

First, we will look at a money word problem involving calculating Simple Interest. Simple Interest word problems are based on the formula for Simple Interest and the formula for Amount. Then, we will look at a money word problem that involves coins and dollar bills.

Simple Interest Word Problems

Formula for Simple Interest

i represents the interest earned. p represents the principal which is the number of dollars invested. r represents the interest rate per year. t represents the time the money is invested which is generally stated in years or fractions of a year.

Formula for Amount

A represents what your investment is worth if you consider the total amount of the original investment ( p ) and the interest earned ( i )

James needs interest income of $5,000. How much money must he invest for one year at 7%? (Give your answer to the nearest dollar)

5,000 = p (0.07)(1)

p = 71,428.57

Dollar and Coin Word Problems

Paul has $31.15 from paper route collections. He has 5 more nickels than quarters and 7 fewer dimes than quarters. How many of each coin does Paul have?

Let x be the number of quarters x + 5 be the number of nickels x – 7 be the number of dimes

25 x + 5( x + 5) + 10( x – 7) = 3,115 25 x + 5 x + 25 + 10 x – 70 = 3,115 40 x = 3,160 x = 79

Algebra Money Word Problems

Coin Word Problem

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Resources tagged with: Money

There are 24 NRICH Mathematical resources connected to Money , you may find related items under Measuring and calculating with units .

Fruity Pairs

Which two items of fruit could Kate and Sam choose? Can you order the prices from lowest to highest?

Planning a School Trip

You are organising a school trip and you need to write a letter to parents to let them know about the day. Use the cards to gather all the information you need.

How Much Did it Cost?

Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.

Your school has been left a million pounds in the will of an ex- pupil. What model of investment and spending would you use in order to ensure the best return on the money?

Plenty of Pens

Amy's mum had given her £2.50 to spend. She bought four times as many pens as pencils and was given 40p change. How many of each did she buy?

Ram divided 15 pennies among four small bags. He could then pay any sum of money from 1p to 15p without opening any bag. How many pennies did Ram put in each bag?

Oh for the Mathematics of Yesteryear

A garrison of 600 men has just enough bread ... but, with the news that the enemy was planning an attack... How many ounces of bread a day must each man in the garrison be allowed, to hold out 45 days against the siege of the enemy?

The Puzzling Sweet Shop

There were chews for 2p, mini eggs for 3p, Chocko bars for 5p and lollypops for 7p in the sweet shop. What could each of the children buy with their money?

Buying a Balloon

Lolla bought a balloon at the circus. She gave the clown six coins to pay for it. What could Lolla have paid for the balloon?

Ben has five coins in his pocket. How much money might he have?

Charitable Pennies

Investigate the different ways that fifteen schools could have given money in a charity fundraiser.

Money Line-up

In this game for two players, the aim is to make a row of four coins which total one dollar.

What is the smallest number of coins needed to make up 12 dollars and 83 cents?

2010: A Year of Investigations

This article for teachers suggests ideas for activities built around 10 and 2010.

At the Pumps

How will you find out how much a tank of petrol costs?

Five More Coins

Could Ben have any amount of money between 5p and £2 in his pocket if he has five coins?

The Money Maze

Go through the maze, collecting and losing your money as you go. Which route gives you the highest return? And the lowest?

History of Money

If you would like a new CD you would probably go into a shop and buy one using coins or notes. (You might need to do a bit of saving first!) However, this way of paying for the things you want did not always exist. Find out more ...

Money Problems?

Marion Bond investigates the skills needed in order for children to understand money.

Chocoholics

George and Jim want to buy a chocolate bar. George needs 2p more and Jim need 50p more to buy it. How much is the chocolate bar?

Roasting Old Chestnuts 4

For teachers. Yet more school maths from long ago-interest and percentages.

Here are the prices for 1st and 2nd class mail within the UK. You have an unlimited number of each of these stamps. Which stamps would you need to post a parcel weighing 825g?

Thirty Nine, Seventy Five

We have exactly 100 coins. There are five different values of coins. We have decided to buy a piece of computer software for 39.75. We have the correct money, not a penny more, not a penny less! Can you discover what the five different types of coins are worth and how many of each we have saved?

Christmas Shopping

Vera is shopping at a market with these coins in her purse. Which things could she give exactly the right amount for?

Money Worksheets

Welcome to the money worksheets page at Math-Drills.com where you will not be short-changed! This page includes Money worksheets for counting coins and for operations with Dollars, Euros, and Pounds.

Students encounter money early on, and they must be able to manage it themselves in their everyday lives and into adulthood. There are many activities that you can do related to counting, adding, and subtracting money, so save some coins or purchase some play money to complete some of the activities on the money math worksheets below.

The policies of the United States Mint and the European Central Bank allow us to use their coin images on our worksheets. The Canadian coin images are used with permission from the Royal Canadian Mint. Permission to use Australian currency coin designs was obtained from the Royal Australian Mint.

Most Popular Money Worksheets this Week

Counting Coins Worksheets

This is a great place to start with younger students as they are likely to encounter coins before they encounter too many bills. Including children in money transactions helps them to develop important money management skills and has benefits in other math topics such as fractions.

Until everyone starts paying with their smart phones and microchips in their fingers, coins are still a thing. The U.S. Mint still makes billions of coins every year and children will probably encounter them very early on in their life. Knowing how much money you have in coins can be accomplished with a coin counting machine, or it can be accomplished with some mental math.

• Counting U.S. Coins Counting U.S. Coins Counting U.S. Coins including Half and One Dollar Coins Counting Small Collections of U.S. Coins Counting Small Collections of U.S. Coins including Half and One Dollar Coins
• Counting Sorted U.S. Coins Counting Sorted U.S. Coins Counting Small Collections of Sorted U.S. Coins
• Counting Canadian Coins Counting Canadian Coins Counting Canadian Coins (No $) Counting Small Collections of Canadian Coins Counting Small Collections of Can. Coins (No $) Counting Canadian Coins Including 50 Cent Pieces
• Counting Sorted Canadian Coins Counting Sorted Canadian Coins Counting Sorted Canadian Coins (No $) Counting Small Collections of Sorted Canadian Coins Counting Small Collections of Sorted Canadian Coins (No $)

No one likes their coins better than the U.K. With pockets full of eight different coin values, reinforced stitching on trouser pockets and handbags is common place. Learning to count all of these coins is a feat in itself, but the worksheets in this category should help.

• Counting British Coins Counting British Coins Counting British Coins - No Pound Coins Counting Small Collections of British Coins Counting Small Collections of British Coins (No Pound Coins)
• Counting Australian Coins Counting Australian Coins Counting Australian Coins (No Dollars) Counting Small Collections of Australian Coins Counting Small Collections of Australian Coins (No Dollars)
• Counting Sorted Australian Coins Counting Sorted Australian Coins Counting Sorted Australian Coins (No Dollars) Counting Small Collections of Sorted Australian Coins Counting Small Collections of Sorted Australian Coins (No Dollars)
• Counting Euro Coins Counting Euro Coins Counting Euro Coins (No 1 or 2 Cents) Counting Euro Coins (No 1 or 2 Euro Coins) Counting Euro Coins (Only 5, 10, 20 and 50 Cent Coins) Counting Small Collections of Euro Coins Counting Small Collections of Euro Coins (No 1 or 2 Cents) Counting Small Collections of Euro Coins (No 1 or 2 Euro coins) Counting Small Collections of Euro Coins (Only 5, 10, 20 and 50 Cent Coins)
• Counting Sorted Euro Coins Counting Sorted Euro Coins Counting Sorted Euro Coins (No 1 or 2 Cents) Counting Sorted Euro Coins (No 1 or 2 Euro coins) Counting Small Collections of Sorted Euro Coins Counting Small Collections of Sorted Euro Coins (No 1 or 2 Cents) Counting Small Collections of Sorted Euro Coins (No 1 or 2 Euro coins)
• Counting New Zealand Coins Counting New Zealand Coins (No Dollars) Counting New Zealand Coins Counting Small Collections of New Zealand Coins (No Dollars) Counting Small Collections of New Zealand Coins

Rounding Money Amounts

The next dollar up is a skill for young students who are not yet able to make change, but can determine how many dollars it will take to cover an amount. For example, if something is $5.45 in a store, then they would need to give $6 to cover that amount since the next dollar up from $5.45 is $6. Students should understand that any amount above zero after the decimal means they need to add another dollar to the number before the decimal in order to have enough to pay for the item. The rest of the worksheets in this section are general rounding questions involving dollar amounts.

• Next Dollar Up (U.S. Version) Next Dollar Up (Amounts to $5 ) (U.S. Version) Next Dollar Up (Amounts to $10 ) (U.S. Version)
• Next Dollar Up (Canadian Version) Next Dollar Up (Amounts to $5 ) ( Canadian Version) Next Dollar Up (Amounts to $10 ) ( Canadian Version)
• Next Dollar Up (Australian Version) Next Dollar Up (Amounts to $5 ) ( Australian Version) Next Dollar Up (Amounts to $10 ) ( Australian Version)
• Next Pound Up (U.K. Version) Next Pound Up (Amounts to £5 ) Next Pound Up (Amounts to £10 )
• Rounding Dollar Amounts Rounding Dollar Amounts to the Nearest 5 Cents Rounding Dollar Amounts to the Nearest 10 Cents Rounding Dollar Amounts to the Nearest 20 Cents Rounding Dollar Amounts to the Nearest 25 Cents Rounding Dollar Amounts to the Nearest 50 Cents Rounding Dollar Amounts to the Nearest 1 Dollar Rounding Dollar Amounts to the Nearest 2 Dollars Rounding Dollar Amounts to the Nearest 5 Dollars
• Rounding British Pound Amounts Rounding British Pound Amounts to the Nearest 5 Pence Rounding British Pound Amounts to the Nearest 10 Pence Rounding British Pound Amounts to the Nearest 20 Pence Rounding British Pound Amounts to the Nearest 25 Pence Rounding British Pound Amounts to the Nearest 50 Pence Rounding British Pound Amounts to the Nearest 1 Pound Rounding British Pound Amounts to the Nearest 2 Pounds Rounding British Pound Amounts to the Nearest 5 Pounds
• Rounding Euro Amounts Rounding Euro Amounts to the Nearest 5 Cents Rounding Euro Amounts to the Nearest 10 Cents Rounding Euro Amounts to the Nearest 20 Cents Rounding Euro Amounts to the Nearest 25 Cents Rounding Euro Amounts to the Nearest 50 Cents Rounding Euro Amounts to the Nearest 1 Euro Rounding Euro Amounts to the Nearest 2 Euros Rounding Euro Amounts to the Nearest 5 Euros

Adding and Subtracting Money

Adding money amounts is a nice way to gently move students into thinking about decimals and what a great opportunity to use some manipulatives. Students generally perform better with math that has meaning. Decimal numbers to hundredths have most likely been in students' lives since very early on as stores display prices, parents comment about the prices to help develop critical thinking in their children, so if there is one decimal that students understand well, it is money. They sometimes have trouble relating it to paper and pencil which is why manipulatives come in handy. Play money is a little cheaper than real money and doesn't disappear quite as quickly.

• Adding Money Amounts with Increments Specifically for U.S. Canadian Currencies Adding With Amounts up to $10 Adding With Amounts up to $100 Adding in Increments of 50 Cents ($) Adding in Increments of 25 Cents ($) Adding in Increments of 10 Cents ($) Adding in Increments of 5 Cents ($)
• Adding Money Amounts with Increments Specifically for British Currency Adding With Amounts up to £10 Adding With Amounts up to £100 Adding Increments of 50 Pence (£) Adding Increments of 20 Pence (£) Adding Increments of 10 Pence (£) Adding Increments of 5 Pence (£) Adding Increments of 2 Pence (£)
• Adding Money Amounts with Increments Specifically for Australian and New Zealand Currencies Adding With Amounts up to $10 Adding With Amounts up to $100 Adding Increments of 50 Cents ($) Adding Increments of 20 Cents ($) Adding Increments of 10 Cents ($) Adding Increments of 5 Cents ($)
• Adding Money Amounts with Increments Specifically for Euro Currency Adding With Amounts up to €10 Adding With Amounts up to €100 Adding Increments of 50 Euro Cents Adding Increments of 20 Euro Cents Adding Increments of 10 Euro Cents Adding Increments of 5 Euro Cents Adding Increments of 2 Euro Cents

The strategy of choice for subtracting money is the counting up strategy. It works especially well for giving change from whole dollar/Pound/Euro amounts. Following is an example of how it works. Let's say the bill at the grocery store came out to $13.46 and the cashier was presented with a $20.00 bill and for some odd reason, the monitor on his cash machine had a crack in it that obscured the amount of change to give. What would he do?! The first thing to do is to take four cents out of the drawer because he needs to add the $13.46 to an unknown amount to make $20, and four cents will bring the $13.46 up to $13.50 which makes things rounder and, for most, a little easier. Next, he needs to pull out two quarters to bring the amount up to $14 even. He can then remove a dollar bill to make the amount $15, and finally pull out a $5 bill to count up to $20. Now, if he wanted to know how much change he gave, he just needs to think back to what he pulled out of the drawer: $5 + $1 + $0.50 + $0.04 = $6.54.

• Subtracting Money Amounts with Increments Specifically for U.S. and Canadian Currencies Subtracting With Amounts up to $10 Subtracting With Amounts up to $100 Subtracting in Increments of 50 Cents ($) Subtracting in Increments of 25 Cents ($) Subtracting in Increments of 10 Cents ($) Subtracting in Increments of 5 Cents ($)
• Subtracting Money Amounts with Increments Specifically for British Currency Subtracting With Amounts up to £10 Subtracting With Amounts up to £100 Subtracting Increments of 50 Pence (£) Subtracting Increments of 20 Pence (£) Subtracting Increments of 10 Pence (£) Subtracting Increments of 5 Pence (£) Subtracting Increments of 2 Pence (£)
• Subtracting Money Amounts with Increments Specifically for Australian and New Zealand Currencies Subtracting With Amounts up to $10 Subtracting With Amounts up to $100 Subtracting Increments of 50 Cents ($) Subtracting Increments of 20 Cents ($) Subtracting Increments of 10 Cents ($) Subtracting Increments of 5 Cents ($)
• Subtracting Money Amounts with Increments Specifically for Euro Currency Subtracting With Amounts up to 10 € Subtracting With Amounts up to 100 € Subtracting Increments of 50 Euro Cents (€) Subtracting Increments of 20 Euro Cents (€) Subtracting Increments of 10 Euro Cents (€) Subtracting Increments of 5 Euro Cents (€) Subtracting Increments of 2 Euro Cents (€)
• Adding and Subtracting Money Amounts with Increments Specifically for U.S. and Canadian Currencies Adding & Subtracting With Amounts up to $10 Adding & Subtracting With Amounts up to $100 Adding & Subtracting in Increments of 50 Cents ($) Adding & Subtracting in Increments of 25 Cents ($) Adding & Subtracting in Increments of 20 Cents ($) Adding & Subtracting in Increments of 10 Cents ($) Adding & Subtracting in Increments of 5 Cents ($)
• Adding and Subtracting Money Amounts with Increments Specifically for British Currency Adding & Subtracting With Amounts up to £10 Adding & Subtracting With Amounts up to £100 Adding & Subtracting Increments of 50 Pence (£) Adding & Subtracting Increments of 20 Pence (£) Adding & Subtracting Increments of 10 Pence (£) Adding & Subtracting Increments of 5 Pence (£) Adding & Subtracting Increments of 2 Pence (£)
• Adding and Subtracting Money Amounts with Increments Specifically for Australian and New Zealand Currencies Adding & Subtracting With Amounts up to $10 Adding & Subtracting With Amounts up to $100 Adding & Subtracting in Increments of 50 Cents ($) Adding & Subtracting in Increments of 20 Cents ($) Adding & Subtracting in Increments of 10 Cents ($) Adding & Subtracting in Increments of 5 Cents ($)
• Adding and Subtracting Money Amounts with Increments Specifically for European Currency Adding & Subtracting With Amounts up to 10 € Adding & Subtracting With Amounts up to 100 € Adding & Subtracting Increments of 50 Euro Cents (€) Adding & Subtracting Increments of 20 Euro Cents (€) Adding & Subtracting Increments of 10 Euro Cents (€) Adding & Subtracting Increments of 5 Euro Cents (€) Adding & Subtracting Increments of 2 Euro Cents (€)

Making change from bills and notes worksheets.

• Making Change from U.S. Bills Making Change from U.S. $1 Bills Making Change from U.S. $5 Bills Making Change from U.S. $10 Bills Making Change from U.S. $20 Bills Making Change from U.S. $50 Bills Making Change from U.S. $100 Bills
• Making Change from Mixed U.S. Bills Making Change from U.S. Bills up to $5 Making Change from U.S. Bills up to $10 Making Change from U.S. Bills up to $20 Making Change from U.S. Bills up to $50 Making Change from U.S. Bills up to $100
• Making Change from Canadian Bills Making Change from Canadian $5 Bills Making Change from Canadian $10 Bills Making Change from Canadian $20 Bills Making Change from Canadian $50 Bills Making Change from Canadian $100 Bills
• Making Change from Mixed Canadian Bills Making Change from Canadian Bills up to $10 Making Change from Canadian Bills up to $20 Making Change from Canadian Bills up to $50 Making Change from Canadian Bills up to $100
• Making Change from Euro Notes Making Change from Euro €5 Notes Making Change from Euro €10 Notes Making Change from Euro €20 Notes Making Change from Euro €50 Notes Making Change from Euro €100 Notes Making Change from Euro €200 Notes
• Making Change from Mixed Euro Notes Making Change from Euro Notes up to €10 Making Change from Euro Notes up to €20 Making Change from Euro Notes up to €50 Making Change from Euro Notes up to €100 Making Change from Euro Notes up to €200

Further worksheets will be released as soon as the Reserve Bank of New Zealand releases more banknotes from Series 7.

• Making Change from New Zealand Banknotes Making Change from New Zealand $5 Banknotes Making Change from New Zealand $10 Banknotes
• Making Change from Mixed New Zealand Banknotes Making Change from New Zealand Banknotes up to $10

The Bank of England sent us this response regarding our request for images: "Please note that the Bank of England does not provide images of notes." Therefore, we are unable to create making change math worksheets using Bank of England banknotes.

Multiplying and Dividing Money

It would be nice if our own money could multiply quite as nicely in our bank accounts as it does on these worksheets. Alas, we will have to settle with low interest rates multiplying our money over the span of decades. These multiplying money worksheets would go well with some money manipulatives. Simply make several piles of the same amount (the same number of piles as the multiplier), combine it all into one pile, regroup as much as possible (e.g. five ones into a five), and count up the results.

• Multiplying Dollar Amounts by 1-Digit Multipliers (U.S. and Canada Version) Multiplying Dollar Amounts in Increments of 1 Cent by One-Digit Multipliers Multiplying Dollar Amounts in Increments of 5 Cents by One-Digit Multipliers Multiplying Dollar Amounts in Increments of 10 Cents by One-Digit Multipliers Multiplying Dollar Amounts in Increments of 25 Cents by One-Digit Multipliers Multiplying Dollar Amounts in Increments of 50 Cents by One-Digit Multipliers
• Multiplying Dollar Amounts by 2-Digit Multipliers (U.S. and Canada Version) Multiplying Dollar Amounts in Increments of 1 Cent by Two-Digit Multipliers Multiplying Dollar Amounts in Increments of 5 Cents by Two-Digit Multipliers Multiplying Dollar Amounts in Increments of 10 Cents by Two-Digit Multipliers Multiplying Dollar Amounts in Increments of 25 Cents by Two-Digit Multipliers Multiplying Dollar Amounts in Increments of 50 Cents by Two-Digit Multipliers
• Multiplying Pound Sterling Amounts by 1-Digit Multipliers Multiplying Pound Sterling Amounts in Increments of 1 Penny by One-Digit Multipliers Multiplying Pound Sterling Amounts in Increments of 2 Pence by One-Digit Multipliers Multiplying Pound Sterling Amounts in Increments of 5 Pence by One-Digit Multipliers Multiplying Pound Sterling Amounts in Increments of 10 Pence by One-Digit Multipliers Multiplying Pound Sterling Amounts in Increments of 20 Pence by One-Digit Multipliers Multiplying Pound Sterling Amounts in Increments of 50 Pence by One-Digit Multipliers
• Multiplying Pound Sterling Amounts by 2-Digit Multipliers Multiplying Pound Sterling Amounts in Increments of 1 Penny by Two-Digit Multipliers Multiplying Pound Sterling Amounts in Increments of 2 Pence by Two-Digit Multipliers Multiplying Pound Sterling Amounts in Increments of 5 Pence by Two-Digit Multipliers Multiplying Pound Sterling Amounts in Increments of 10 Pence by Two-Digit Multipliers Multiplying Pound Sterling Amounts in Increments of 20 Pence by Two-Digit Multipliers Multiplying Pound Sterling Amounts in Increments of 50 Pence by Two-Digit Multipliers
• Multiplying Dollar Amounts by 1-Digit Multipliers (Australia and New Zealand Version) Multiplying Dollar Amounts in Increments of 1 Cent by One-Digit Multipliers Multiplying Dollar Amounts in Increments of 5 Cents by One-Digit Multipliers Multiplying Dollar Amounts in Increments of 10 Cents by One-Digit Multipliers Multiplying Dollar Amounts in Increments of 20 Cents by One-Digit Multipliers Multiplying Dollar Amounts in Increments of 50 Cents by One-Digit Multipliers
• Multiplying Dollar Amounts by 2-Digit Multipliers (Australia and New Zealand Version) Multiplying Dollar Amounts in Increments of 1 Cent by Two-Digit Multipliers Multiplying Dollar Amounts in Increments of 5 Cents by Two-Digit Multipliers Multiplying Dollar Amounts in Increments of 10 Cents by Two-Digit Multipliers Multiplying Dollar Amounts in Increments of 20 Cents by Two-Digit Multipliers Multiplying Dollar Amounts in Increments of 50 Cents by Two-Digit Multipliers
• Multiplying Euro Amounts by 1-Digit Multipliers Multiplying Euro Amounts in Increments of 1 Cent by One-Digit Multipliers Multiplying Euro Amounts in Increments of 2 Cents by One-Digit Multipliers Multiplying Euro Amounts in Increments of 5 Cents by One-Digit Multipliers Multiplying Euro Amounts in Increments of 10 Cents by One-Digit Multipliers Multiplying Euro Amounts in Increments of 20 Cents by One-Digit Multipliers Multiplying Euro Amounts in Increments of 50 Cents by One-Digit Multipliers
• Multiplying Euro Amounts by 2-Digit Multipliers Multiplying Euro Amounts in Increments of 1 Cent by Two-Digit Multipliers Multiplying Euro Amounts in Increments of 2 Cents by Two-Digit Multipliers Multiplying Euro Amounts in Increments of 5 Cents by Two-Digit Multipliers Multiplying Euro Amounts in Increments of 10 Cents by Two-Digit Multipliers Multiplying Euro Amounts in Increments of 20 Cents by Two-Digit Multipliers Multiplying Euro Amounts in Increments of 50 Cents by Two-Digit Multipliers

Dividing money amounts by whole numbers worksheets.

• Dividing Dollar Amounts by 1-Digit Multipliers (U.S. and Canada Version) Dividing Dollar Amounts in Increments of 1 Cent by One-Digit Divisors Dividing Dollar Amounts in Increments of 5 Cents by One-Digit Divisors Dividing Dollar Amounts in Increments of 10 Cents by One-Digit Divisors Dividing Dollar Amounts in Increments of 20 Cents by One-Digit Divisors Dividing Dollar Amounts in Increments of 25 Cents by One-Digit Divisors Dividing Dollar Amounts in Increments of 50 Cents by One-Digit Divisors
• Dividing Dollar Amounts by 2-Digit Multipliers (U.S. and Canada Version) Dividing Dollar Amounts in Increments of 1 Cent by Two-Digit Divisors Dividing Dollar Amounts in Increments of 5 Cents by Two-Digit Divisors Dividing Dollar Amounts in Increments of 10 Cents by Two-Digit Divisors Dividing Dollar Amounts in Increments of 20 Cents by Two-Digit Divisors Dividing Dollar Amounts in Increments of 25 Cents by Two-Digit Divisors Dividing Dollar Amounts in Increments of 50 Cents by Two-Digit Divisors
• Dividing Pound Sterling Amounts by 1-Digit Multipliers Dividing Pound Sterling Amounts in Increments of 1 Penny by One-Digit Divisors Dividing Pound Sterling Amounts in Increments of 2 Pence by One-Digit Divisors Dividing Pound Sterling Amounts in Increments of 5 Pence by One-Digit Divisors Dividing Pound Sterling Amounts in Increments of 10 Pence by One-Digit Divisors Dividing Pound Sterling Amounts in Increments of 20 Pence by One-Digit Divisors Dividing Pound Sterling Amounts in Increments of 50 Pence by One-Digit Divisors
• Dividing Pound Sterling Amounts by 2-Digit Multipliers Dividing Pound Sterling Amounts in Increments of 1 Penny by Two-Digit Divisors Dividing Pound Sterling Amounts in Increments of 2 Pence by Two-Digit Divisors Dividing Pound Sterling Amounts in Increments of 5 Pence by Two-Digit Divisors Dividing Pound Sterling Amounts in Increments of 10 Pence by Two-Digit Divisors Dividing Pound Sterling Amounts in Increments of 20 Pence by Two-Digit Divisors Dividing Pound Sterling Amounts in Increments of 50 Pence by Two-Digit Divisors
• Dividing Dollar Amounts by 1-Digit Multipliers (Australia and New Zealand Version) Dividing Dollar Amounts in Increments of 1 Cent by One-Digit Divisors Dividing Dollar Amounts in Increments of 5 Cents by One-Digit Divisors Dividing Dollar Amounts in Increments of 10 Cents by One-Digit Divisors Dividing Dollar Amounts in Increments of 20 Cents by One-Digit Divisors Dividing Dollar Amounts in Increments of 50 Cents by One-Digit Divisors
• Dividing Dollar Amounts by 2-Digit Multipliers (Australia and New Zealand Version) Dividing Dollar Amounts in Increments of 1 Cent by Two-Digit Divisors Dividing Dollar Amounts in Increments of 5 Cents by Two-Digit Divisors Dividing Dollar Amounts in Increments of 10 Cents by Two-Digit Divisors Dividing Dollar Amounts in Increments of 20 Cents by Two-Digit Divisors Dividing Dollar Amounts in Increments of 50 Cents by Two-Digit Divisors
• Dividing Euro Amounts by 1-Digit Multipliers Dividing Euro Amounts in Increments of 1 Cent by One-Digit Divisors Dividing Euro Amounts in Increments of 2 Cents by One-Digit Divisors Dividing Euro Amounts in Increments of 5 Cents by One-Digit Divisors Dividing Euro Amounts in Increments of 10 Cents by One-Digit Divisors Dividing Euro Amounts in Increments of 20 Cents by One-Digit Divisors Dividing Euro Amounts in Increments of 50 Cents by One-Digit Divisors
• Dividing Euro Amounts by 2-Digit Multipliers Dividing Euro Amounts in Increments of 1 Cent by Two-Digit Divisors Dividing Euro Amounts in Increments of 2 Cents by Two-Digit Divisors Dividing Euro Amounts in Increments of 5 Cents by Two-Digit Divisors Dividing Euro Amounts in Increments of 10 Cents by Two-Digit Divisors Dividing Euro Amounts in Increments of 20 Cents by Two-Digit Divisors Dividing Euro Amounts in Increments of 50 Cents by Two-Digit Divisors

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Money Basics  - Financial Problem Solving Strategies

Money basics  -, financial problem solving strategies, money basics financial problem solving strategies.

Money Basics: Financial Problem Solving Strategies

Lesson 2: financial problem solving strategies.

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Financial problem-solving strategies

Have you ever experienced a financial problem? Do you feel like finances are holding you back from reaching your goals? This lesson will give a brief overview of the general problem-solving process and how to apply it to the most common financial problems.

The problem-solving process

First, let's take a look at a general problem-solving process that you can apply to any situation, not just a financial one.

• Identify the problem . The first step in solving a problem is to identify it. What exactly do you need to overcome?
• Make a plan. What are the steps you need to take in order to overcome the problem?
• Implement the plan . This step actually puts the plan you created in place. While it sounds fairly straightforward, this is usually the most difficult step.
• Evaluate the plan . Although this is listed last, this step might actually occur simultaneously with implementing the plan. Things happen and circumstances change, so you may need to re-evaluate your plan as it is happening.

Identifying the problem

The first step in the problem-solving process is to get to the root of the problem and understand what you need to overcome. Here is a list of the most common financial problems people may face:

• Lack of income/job loss
• Unexpected expenses
• Too much debt
• Need for financial independence
• Overspending or lack of budget
• Lack of savings

When thinking about these common problems, each one falls into one of three areas: You need more money, you need to reduce your debt, or you need to change how you spend.

Making a plan

After identifying the problem you need to overcome, it's time to make a plan. Not sure where to start? No worries! We have you covered with some tips and places to begin.

Problem 1: You need more money . Whether you've lost your job, met an unexpected expense, or are working on becoming more financially independent, a form of income is necessary.

If you are a looking for additional work or maybe just a better-paying job, take some time to update your resume and cover letter. Make sure they are neat, up to date with your most current information, and free of spelling and grammar errors.

Be wary of any advertisements or jobs that offer fast, easy money. A lot of quick-cash methods come with unintended consequences. More often than not, if something sounds too good to be true, it probably is.

Problem 2: You need to reduce your debt . With high interest rates or the need to live paycheck to paycheck, high debt can be debilitating. Sometimes it feels like climbing a neverending mountain with an invisible peak. However, by prioritizing and negotiating your debt, you can make it more manageable.

Try listing all of your debt and the interest rates associated with each. Focus on paying off the ones with the highest interest rates first. If you're having trouble making payments, call the loan company and see if it can offer any solutions for you. The company may be able to lower your interest rate or offer a temporary forbearance to help you get back on your feet. If you need more help tackling your debt, you may want to contact a professional debt counselor like Consolidated Credit.

Problem 3: You need to change how you spend . Going from financial problems to a healthy financial status often requires organization and a shift in thinking. Avoiding overspending, building your savings, and gaining financial independence can often be accomplished with good spending habits.

The first thing you may want to try is creating a budget. There are many templates and resources available to help you create one. Sticking to one can be challenging, but simply having a budget laid out can help you see where you need to start spending less.

In addition to your budget, create a savings plan. Start out small. Even stowing away an extra dollar or two here and there can make a big difference. Also, try placing your savings in a place you cannot easily access. For example, create a savings account at a bank you don't usually use. The more difficult it is to access your money, the less likely you are to spend it.

Implementing the plan

Although the explanation of this part is the simplest, this is often the most difficult part to actually execute. It requires self-discipline and perseverance. The most important part of this step is to know that if your plan doesn't work or if you have a difficult time sticking to it, all is not lost. If it happens, move on to the next step, evaluate your plan, then repeat the process.

Overcoming financial obstacles can require changing your lifestyle, and this does not happen overnight. However, just having a plan itself can help to give you confidence and reassurance that you can eventually overcome whatever is in your way.

Evaluating your plan

As you implement your plan, you'll need to continually evaluate it. Maybe something happens and your original plan needs to change. Perhaps you've learned more along the way and realize that your original plan was incomplete. Or maybe your first plan went as planned and was a success. No matter the circumstances, it is always a good idea to look back and re-evaluate. Try answering these questions:

• Was your problem solved? Did a new problem arise?
• What went right?
• What went wrong?
• What circumstances changed?
• Was there anything you didn't account for?
• What was easy about implementing your plan?
• What was difficult about implementing your plan?

Financial obstacles can often seem debilitating and impossible to overcome. They often create a significant source of financial anxiety . We hope this lesson will help give you the confidence to take on your problem one step at a time so you can conquer your anxiety and move forward.

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Money Printable Worksheets Hub Page

Welcome to our Money Printable Worksheets page.

Here you will find a wide range of free printable Money Worksheets, which will help your child become more confident counting, adding and subtracting money.

Check out our Counting money worksheets or have some fun with our printable money riddles or Money games.

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• This page contains links to other Math webpages where you will find a range of activities and resources.
• If you can't find what you are looking for, try searching the site using the Google search box at the top of each page.

Money Printable Worksheets

Money resources.

Here you will find our range of money resources. The resources below cater for both US and UK coinage.

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• Money Games
• Counting Money Worksheets
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• Printable Money Flashcards

Using flashcards is a great way to learn to count money in a fun and easy way.

The flashcards come complete with answers which can either be printed on the reverse of the flashcards, or they can be printed as a separate sheet for use in games like pairs.

Money Dominoes

These printable money dominoes are a great way to get kids to learn to count money in a motivating way.

The dominoes can be played or used by a single player, or they can be made into a multi-player game.

• Kids Counting Money Dominoes
• Counting Money Games

Here is our collection of counting money games for kids.

All of these games are suitable for kids aged from 1st grade and upwards.

Playing games is a great way to practice math skills in a fun way. Games also help to develop reasoning, thinking and memory.

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• Money Worksheets

Here you will find our range of money worksheets, from first grade and upwards.

There is a choice of randomly generated worksheets for you to create or ready-made graded money worksheets.

Kindergarten Money Worksheets - Recognising coins

These kindergarten worksheets are all about recognising and counting coins: pennies, nickels, dimes and quarters.

The sheets involve recognising both faces of each coin.

• Kindergarten Money Worksheets

1st Grade Counting Money Worksheets

Here you will find a range of Counting Money Printable Worksheets.

Using these sheets will help your child to:

• recognise and know the values of the US coins;
• add up dimes, nickels and pennies in cents.

All the free 1st Grade Math Worksheets in this section are informed by the Elementary Math Benchmarks for First Grade.

• Free Math Money Worksheets - Counting same value coins
• Counting Money Worksheets - Counting different coins
• Money Word Problems for First Grade
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1st Grade Money Riddles

Using puzzles is a great way to get children to learn about money in a fun and interesting way, and apply their counting money knowledge.

Using these 1st Grade money riddles will help your child to develop their money skills and their problem solving skills at the same time.

There are a range of sheets suitable for a range of abilities within 1st grade.

• Money Math Worksheets - 1st Grade Money Riddles

2nd Grade Counting Money Worksheets

Here you will find a selection of First Grade Counting Money printable worksheets designed to help your child count different amounts of money using coins of the same value.

Using these sheets will help your child to:-

• count by a range of coins up to $1;
• add up quarters, dimes, nickels and pennies.

All the free Math Money worksheets in this section are support Elementary Math Benchmarks.

• Money Worksheets for Kids to $1
• Counting Quarters Worksheets
• Money Worksheets Canada 2nd Grade

Counting Money Worksheets at 2nd Grade Math Salamanders

In this section you will find our counting money worksheets which will help your child count money amounts up to $10.

Using the sheets in this section will help your child to:

• count out money amounts in $ and ¢;
• use $ notation to write down money amounts;
• compare different amounts of money.

All the sheets in this section will help your child to become more confident with counting money.

• Counting Money Worksheets up to $1
• Counting Money Worksheets up to $2
• Counting Money Worksheets to $10

Money Riddles & Challenges

The main difference between our money riddles and money challenges is that the challenges are generally more difficult to solve and will take longer to solve.

The puzzles are a great money starter activity to get children thinking and puzzling out which the correct answer is out of a set number of choices. They are great for partner work too.

Money Riddles at 2nd Grade Math Salamanders

Using puzzles is a great way to get children to learn about money in a fun and interesting way.

Using these money riddles will help your child to develop their money skills and their problem solving skills at the same time.

There are a range of sheets suitable for a range of abilities.

• Money Math Worksheets - Money Riddles

Money Challenges at 2nd Grade Math Salamanders

In our Money Challenge section you will find a lot of printable money challenges that you can use with your child.

Once children have mastered the basics of counting money amounts and know their coins, they are ready for a higher level of challenge.

The Money Challenges will help your child consolidate their money learning so far, and extend it further with some open-ended challenges.

Using these challenges will help your child to:

• apply their existing skills to solve problems;
• develop their problem solving and thinking skills.

Using these sheets will help to extend your child's math learning.

• Free Printable Money Worksheets - Challenges

More Money Challenges

On this webpage, you will find our 3rd and 4th Grade Money Challenges.

These challenges involve solving money problems and are a great way for kids to develop their reasoning skills and practice their counting money at the same time.

• 3rd Grade Money Challenges
• 4th Grade Money Challenges

Adding & Subtracting Money Worksheets

Here is our collection of adding and subtracting money worksheets for kids.

The following worksheets involve children adding and subtracting a range of money amounts.

Money Worksheets (randomly generated)

Here you will find our random generator to create your very own money worksheets.

You can choose what value you wish go up to, and whether you want to add or subtract money amounts.

You can choose the number of questions you would like, and what currency symbol you want to use.

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Free Printable Money Word Problems Worksheets for 8th Grade

Money Word Problems: Discover a collection of free printable worksheets for Grade 8 math teachers, focusing on real-life scenarios involving money. Enhance students' problem-solving skills with these valuable resources from Quizizz.

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A Conversation With President Zelensky

In a wide-ranging interview, president volodymyr zelensky of ukraine challenged the west’s hesitations..

This transcript was created using speech recognition software. While it has been reviewed by human transcribers, it may contain errors. Please review the episode audio before quoting from this transcript and email [email protected] with any questions.

From The New York times, I’m Sabrina Tavernise. And this is “The Daily.”

[SPEAKING UKRAINIAN]: [LAUGHS]:

Five years ago, a TV personality and comedian, Volodymyr Zelenskyy, won the presidency in Ukraine in a landslide victory.

[SPEAKING UKRAINIAN]:

And then — [ALARM BLARING]

— after three years in office, he faced the biggest challenge of his presidency and of his life.

This is only the beginning for Russia on the Ukrainian land. Russia is trying to defeat the freedom of all people in Europe.

He rose to that challenge, beating back one of the world’s largest armies. But now —

We urgently need Patriot systems and missiles for them. And you can imagine what our soldiers feel when they simply have nothing to respond to enemy fire.

The tide has turned against him.

Please do not ask Ukraine when the war will end. Ask yourself, why is Putin still able to continue it?

Today, my colleague Andrew Kramer sat down with Zelenskyy to talk about the fight of his life and how it might end. It’s Tuesday, June 4. So, Andrew, you’ve been covering Ukraine for many years, and you first met President Zelenskyy back in 2020 before Russia invaded. Tell us what he was like back then.

There’s just an incredible density of events that have filled Zelenskyy’s tenure as president. I had an opportunity to interview president Zelenskyy in 2020. And this was during COVID, so it was a Zoom interview. And it was really a different era for Zelenskyy. He had just come in as president. He was baby-faced. He was a fresh presence in Ukrainian politics. And at this moment, he was trying to reset relations with the United States. There had been tensions with the Trump administration, and he wanted to turn a new page in bilateral relations.

And by tension with the Trump administration, you mean, of course, that Zelenskyy was in the middle of the first Trump impeachment. We may all forget, but Trump made a phone call to Zelenskyy, asking him to investigate not only Joe Biden, but also his son, Hunter Biden. And Trump hinted that the US would actually withhold military aid if Zelenskyy didn’t do that.

That’s right. The perfect phone call. That’s what President Trump called it. And during this time, Zelenskyy became briefly a known figure in the United States. But in Ukraine, he was known as a charismatic leader. He was a television personality before becoming president, and he had campaigned on an idea of a new morning in Ukraine. He would crack down on corruption. And a central element of his campaign had been to make peace with Russia.

It’s pretty interesting to remember, actually, that Zelenskyy started as someone who thought it was possible to make peace with Russia. That’s who he was as a politician when he started out.

And he had wide support. He was elected with 73 percent of the vote. So a lot of Ukrainians believed that he would actually be able to achieve this. But this had really fallen apart. And by the time I talked to him late in 2020, the prospects for these negotiations were very unclear. And it was, for this reason, more important than ever for the Zelenskyy administration to shore up support from the United States.

So that was 2020. A lot has changed. Clearly, at this point, Zelenskyy is not making peace with Russia anymore. You sat down with Zelenskyy a couple of weeks ago. Why did you want to talk to him again now?

Well, it’s a very interesting and critical moment in the war. The tide has turned in the war. Russia is pressing all along the front and American aid had been stalled for six months. And it was passed recently in congress, but it hasn’t yet arrived. So it’s a moment where Zelenskyy has his back against the wall. And what Zelenskyy has really zeroed in on is that the NATO countries and the United States should allow Ukraine to use donated Western weaponry to hit targets inside of Russia.

Now, of course, firing American weapons into Russia has really been a red line for the United States through the more than two years of this conflict because Russia is a nuclear armed power. And there have always been fears in the background that this would be provocative, this would be escalatory, and would really raise the risk of a wider war. So we wanted to understand how Zelenskyy was making that argument for Biden to allow him to use American weapons to hit targets inside of Russia, despite the risks.

So tell me about your interview. Start from the beginning.

Are we — are we recording now?

I’m rolling, yeah.

Well, we walked into the presidential administration through a very tight security. It’s always an interesting experience arriving at the presidential office in Kyiv. There are sandbags and anti-tank barriers around the building.

Andrew, you’ll set up on the right closest to the president.

Yeah, if we can get Andrew —

We made our way through the compound to a ceremonial reception hall. This was in a 19th century building with exotic plaster moldings on the walls called the House of Chimaeras.

OK? It’s OK for you.

And I went to interview Zelenskyy with my colleagues, Phil Pan, the international editor, and Bill Brink, the Ukraine editor.

You’re going to have to catch him later.

We waited there for about an hour before the president showed up.

[MUSIC PLAYING]

Hi, I’m sorry I’m late.

Hi. Mr. president, nice to meet you.

Welcome. How was trip?

When he walks into a room, you immediately notice that he’s there, that he’s a presence.

Mr. President, I believe you know Andrew Kramer. He’s our bureau chief here.

Well, we had an interview, but it was by Skype in 2020, I think.

Maybe. I’m sorry. It was in another life.

And he is a little bit shorter in real life than he might appear on television. And war has changed Zelenskyy. He looks haggard. And for the last two years, he’s been bearded and wearing only military fatigues. In this case, it was a green t-shirt and green trousers. But he did seem to be holding up all right. He looked healthy and he was very energetic.

Thank you so much for coming. We can sit.

After some small talk in English —

Can we check Ukrainian translation? Talk with us.

He switched into Ukrainian, and we spoke with him through a translator.

The Biden administration has prohibited Ukraine from using American made weapons to strike inside Russia out of concern for escalation, including the risk of nuclear war.

And our very first question was about this red line.

Your government has urged a change to this policy given the situation on the battlefield right now. Why?

Thank you so much. Well, first of all, Biden administration was really against the use of the Western weapons. That’s important to mention.

And he became quite animated. He was gesturing. He was using his skills as a public speaker to convey what he felt was a very important point.

They are striking with the missiles from Russian territory. So how can we protect ourselves from these strikes?

And he was saying that it’s really not possible for him to fight when the Russians can gather their forces and fly their airplanes in Russia and then attack Ukraine, when he is not allowed to strike back as they gather across the border.

They are in the closest villages and settlements to the border from Russia, knowing that we will not respond.

He was conveying this sense of fighting with one hand tied behind his back. And they have to endure the attacks from Russia, the bombings and the artillery strikes, and they’re not allowed to hit back.

That is their big, big advantage.

He talked about the Northeastern part of Ukraine, near Ukraine’s second largest city, Kharkiv. It’s been a target of Russian attack. It’s bombarded almost daily. And it’s now one of the focal points of the war.

To defend Kharkiv, Ukraine has been forced to divert soldiers from elsewhere to fight this Russian incursion with the city at their backs.

Russia is piling up the troops. They are —

And Zelenskyy was telling us that his intelligence can see the Russians unloading from trains weaponry and equipment just across the border in Russia, but he’s not allowed to strike it because of the restriction on the use of Western weaponry. And so he said he has no choice but to watch them prepare to attack.

And he had a very vivid image for this. He was saying that he sees the Russians gathering on that side of the border.

That means that tomorrow, they will not give us flowers. They will give us death.

And that he knows they aren’t coming with flowers, but they’re coming with death.

If we know that tomorrow they are not celebrating with us, but they are killing us, why can’t we use our weapons to demolish them in the point of collection of the arms?

In other words, what he was saying was that they’re basically sitting ducks. And if you could only use these big, powerful American weapons to shoot inside of Russia to take the war to Russians, then that could turn the tide of the war. But the Americans were just not letting him do that.

That’s right. And he’s also asking for very specific weaponry to do this. And it really speaks to Zelenskyy’s life over the past 2 and 1/2 years. His country depends on an arsenal of weaponry from allies who have often been reluctant to provide it. And he finds himself often coming with what amounts to a shopping list to these Western nations, describing what his military needs in any particular circumstance.

We can get, in the end of the day, from NATO countries.

And what he told us —

— Patriot systems. Seven.

Was that he needed seven Patriot anti-aircraft missile systems.

Our analysts told us we need 120, 130 F-16s.

And 120 to 130 F-16 airplanes. And these kind of requests, well, understandable. His soldiers are engaged in combat, they’re suffering casualties, and civilians are being killed. So it’s of dire importance to Zelenskyy. But these type of requests have sometimes grated on Western politicians, so much so that last summer, the British minister of defense had said in response, and really in frustration, that, Zelenskyy, we’re not Amazon. Don’t come with a shopping list.

And this, of course, has been the view of the US administration as well. Hey, guy, we just gave you $60 billion. Have some gratitude.

OK, so it’s clear why shooting American weapons into Russia would help Zelenskyy. But how is he viewing the risk of Russia retaliating and potentially setting off a nuclear war? Because, of course, that’s why the US drew this red line in the first place, right?

Well, this is really the question of the hour on escalation.

What do you say to the people who argue that it is too risky to allow Ukraine to use these weapons inside Russia because of the risk of escalation?

There are no risks of escalation.

And when we asked about this, Zelenskyy asked us, in a sense, to get inside Putin’s head a little bit and understand how he sees this playing out.

He was saying that Putin is an irrational actor, so obviously somebody to be feared.

That he could use the nuclear weapon then when he failed to conquer us during the first year of the war.

But if he were to use nuclear weapons, he would have used them in the first year of the war when Russia was down and Ukraine was up. And he was also saying that —

He did not use it because he really loves his own life.

Putin, he’s irrational, but he would also fear for his own life.

And he understands that that’s it. The door will be totally locked to Russia, fully locked if he uses nuclear weapons. It’s a fact. And no one will be able to do anything with that, even his fans among the politicians. They won’t be able to do anything because the use of the nuclear weapon is not the red line. This is a totally different level. That’s it. This is the World War III.

Using a nuclear weapon would obviously be risking World War III, and Putin would understand the consequences of this. So these were Zelenskyy’s explanations of why he felt the Russians were bluffing on the nuclear question.

So Zelenskyy’s conclusion was that the nuclear threat really isn’t real, that it’s not that much of a risk then for the West to let Ukraine cross that red line. Use those American weapons to shoot at Russians inside Russia.

Yes. And then last week, apparently, Biden was convinced by Zelenskyy’s arguments. The Biden administration and administration officials announced that American weapons could be used to hit targets inside of Russia. The decision to shift was weighing the risk of losing Ukraine’s second largest city, Kharkiv, or having it bombed into oblivion against a very small risk of a nuclear war. A large risk of losing a city and a small risk of nuclear war. But there were caveats.

The American permission only allowed the use of American weapons on the border and in response to Russian military attacks across the border on Ukraine. And it didn’t cover the most powerful rocket in the arsenal that the United States has provided, the attack-guided rocket. So we won’t see Ukrainian attacks on large Russian cities using American weapons, such as rocket attacks on Moscow. But it is evidence that the Biden administration has shifted a red line.

And it seems significant, even if it’s limited. So the red line maybe isn’t actually so red. What do you think this tells us?

It tells us that Zelenskyy has been persuasive with his style of public performance, with his style of reaching out directly to voters in the countries that are allies with Ukraine. He has pushed Western leaders to shift on red lines and to continually provide more military support for his military and change their policies on how they assist Ukraine.

But Zelenskyy has another challenge. It’s something he doesn’t talk about nearly as much, but it’s just as important to winning the war. And this is a challenge inside Ukraine, in Ukrainian society.

We’ll be right back.

So, Andrew, you said that there was another big potential problem for Zelenskyy, and that was a problem in Ukrainian society. Tell me about that.

In short, it comes down to this. Not enough men want to fight, and Zelenskyy doesn’t know how to make them. He has been drafting men in relatively small batches throughout the country. And those who have signed up in the beginning, they are still serving at the front and have been fighting continuously for two years. So there’s fatigue of soldiers who are fighting and in the Army. And there’s also reluctance of those who have not yet been drafted to be drafted into the military.

So, Andrew, I’m really thinking about this with you and remembering back to those early days when you and I were walking around the streets of Kyiv and going into draft offices, and seeing everybody who signed up, right? History professors. I think you even interviewed a male stripper at some point that we were remarking on. Everybody wanted to fight. But that is very different now. What happened? What changed?

It’s now been two years, and there’s been a lot of dying. If you look at the number of men serving in the Ukrainian military now, including some units like the National Guard and border guards, it’s about 1 million men under arms. Out of that 1 million, about 10 percent have died so far. We don’t know the exact number of casualties in the Ukrainian army, but estimates are in the range of about 100,000 Ukrainian soldiers who have been killed over two years of war.

One thing that I found really remarkable when you travel around in villages and towns is that there are almost always dry flowers all over the roads because there are funerals so often. And they put these flowers down, and then they have processions. So military vehicles will come very slowly carrying the body in a hearse. And people will get out of their cars and they’ll kneel on the side of the road while this procession goes by. And it’s these sort of scenes that are really frightening to men who are eligible for the draft and who know what it would mean to be called up and sent into the trench fighting.

And how many men are eligible for the draft?

In Ukraine, there are 3 to 4 million men who could be drafted and could be serving in the military. So they could be fighting a war of attrition with Russia with a larger army, where they’re able to mobilize and equip these additional soldiers. But they haven’t done this, and there’s been quite a bit of reluctance. So they’re at a moment now where they need soldiers, but the patriotic wave from earlier in the war has really washed over. And at this point, they’re going to have to use the power of calling up men against their will in order to continue fighting this war.

What does that look like in Ukraine now?

Well, the call-up of men from villages in some areas of Ukraine has been so great that there are villages without men. There are villages where women, when they see the draft officials coming into town, they have swarmed these vehicles and are protesting to protect the few remaining men in these areas. There have been roadblocks put up in Kyiv and other towns to stop cars and check draft registration documents on the street. And sometimes, men are asked to report to basic training within as little of a week after being stopped at one of these surprise checkpoints.

And this has been disruptive. And men are fearful of being caught in one of these roadblocks and approached by draft officials. And there are even social media apps that track where they’re moving around town. For example, in Kyiv, there’s an app called Weather in Kyiv. And it’ll say it’s raining on a certain intersection. And that would mean that the draft officials are there and men should avoid that area.

Interesting. And is Zelenskyy acknowledging this challenge? The challenge of trying to get men to fight in the war.

Politically, Zelenskyy has disassociated himself from the challenges of the draft. He’s said this is a problem for parliament or for the military. It’s politically very unpopular. And he hasn’t, for example, given major speeches calling on Ukrainians to sign up and explaining the draft policies.

In our interview, he did, though, acknowledge the toll of the war on Ukrainian society. And he described this as divisions.

Some people are at war. Some people are not.

That there had been some rift in society between men who were fighting and men who were not fighting.

It is really serious because the society begins to divide.

And for somebody trying to steer a country in a war, this could be a problem.

This separation in the society, this division, at this moment, the enemy can use it.

So given that fewer and fewer people want to fight, and war is obviously fundamentally about fighting, where is Ukrainian society’s head right now on this war? And what is their appetite to stop it? Do people want to call it quits, agree to just, OK, lob off a third of their territory and give it to Russia and finally be done with this? Or is a full draft, mass mobilization finally going to be on the table?

Well, this is what makes Zelenskyy’s situation now so interesting is he’s in a bind. He’s ruling a country that on the one hand, there’s massive support for continuing the war. There’s incredible anger at Russia. Still seething anger at Russia over this war, and no desire to negotiate. On the other hand, you have fewer and fewer people actually willing to fight. So Zelenskyy is caught between these two positions, and it’s a difficult moment.

OK, to summarize here, Zelenskyy has been pushing on these red lines abroad. He’s getting stuff. He made some progress last week, but it seems like it’s not enough to dig himself out of the hole he’s in. And at home, there’s kind of a similar dynamic. He’s done these small batch drafts of men, but that also seems like it’s not enough to really win. And now he’s in this very hard place. And to put it very bluntly, it seems like a losing place.

Well, this is probably the moment of most uncertainty for Zelenskyy and for Ukraine since the beginning of the war. There’s no popular decision for Zelenskyy. Drafting more soldiers is unpopular. If he doesn’t draft soldiers and settles in a ceasefire negotiation, that will also be unpopular. Zelenskyy is really squeezed between two fires. And this is all against the backdrop of Russia escalating an offensive that’s expected to continue through the summer.

How is he coping with this? This is a lot on his shoulders.

Well, this is something that we asked in the interview.

I just wanted to ask if you could say a few words about your own life as a wartime president. And maybe —

And we talked to him on what was the 817th day of the war.

I’m not afraid of working for many hours and to do my work and many other works. But the hardest is the emotions. You understand that. Emotions.

He doesn’t tell jokes like he used to. One aspect of the war is that his life as a comedian has really come to a close, and he’s become a much more serious public figure.

And I wake up very early and —

He said that he deals with some of the stresses of leadership by working out in the morning.

I can see my wife more often. She’s in the office. But I see my children not that much.

And he was most expressive and went on at some length about his family.

He said that through the course of the war, his children have grown up. His daughter is now 19. His son is 11. And he said that he would spend time with his son working on Spanish homework.

I don’t know Spanish, in fact. But I’m interested just in some time to spend with him, whatever he does.

And these are the happiest moments. And here, I can relax.

Andrew, how did you end the interview?

I asked him what he would do after the war. And I thought his answer was telling.

So what are your plans after the war?

[LAUGHS]: [SPEAKING UKRAINIAN]:

I would like after the war — after the victory, because those are different things.

He said there’s a distinction between the end of the war and victory.

I think that my plans depend on that. So I would like —

And then he described what would happen after victory. He would spend time with his family and his dogs. But what he left unsaid was what his life would look like if Ukraine lost the war.

And what would it look like?

Well, one scenario is that he could die at the end of this. [MUSIC PLAYING]

He’s been the target of 10 assassination attempts, according to his government. Another possible outcome would be that Ukraine could lose a large chunk of its territory in a settlement agreement. So it’s understandable why he didn’t go into the details, but it was still remarkable that he acknowledged just for a moment this vulnerability, this idea that there could be an outcome for Ukraine other than victory.

Andrew, thank you.

Thank you, Sabrina. [MUSIC PLAYING]

Here’s what else you should know today.

[PEOPLE CHANTING]

On Sunday, Mexican voters elected the country’s first woman and first Jewish president, Claudia Sheinbaum.

[SPEAKING SPANISH]

It was a landslide victory for the 61-year-old climate scientist and former mayor of Mexico City. Sheinbaum, a leftist, had campaigned on a promise to continue the legacy of Mexico’s current president, Andres Manuel Lopez Obrador.

Under Obrador, millions of Mexicans were lifted out of poverty. But he was also criticized for failing to control rampant cartel violence. The election was the largest in Mexico’s history, with the highest number of voters taking part. And it puts a Jewish leader at the helm of one of the world’s largest predominantly Catholic countries.

And President Biden is expected to sign an executive order on Tuesday, allowing him to temporarily seal the US border with Mexico when the number of migrant crossings exceed a certain threshold. The order would suspend protections for asylum seekers in the US, and represents the most restrictive border policy instituted by Biden, who is under intense political pressure to address illegal migration. Polls suggest that there is growing support, even inside the president’s own party, for more aggressive border measures. The executive order is likely to be challenged in court.

Today’s episode was produced by Nina Feldman, Claire Toeniskoetter, Rob Szypko, and Diana Nguyen, with help from Michael Simon Johnson. It was edited by Lisa Chow. Contains original music by Marion Lozano and Elisheba Ittoop, and was engineered by Chris Wood. Our theme music is by Jim Brunberg and Ben Landsverk of Wonderly. Special thanks to Sashko Chubko.

That’s it for “The Daily.” I’m Sabrina Tavernise. See you tomorrow.

• June 7, 2024   •   30:00 Real Teenagers, Fake Nudes: The Rise of Deepfakes in American Schools
• June 6, 2024   •   23:38 The Fight Over the Next Pandemic
• June 5, 2024   •   30:42 Biden’s Push to End the War in Gaza
• June 4, 2024   •   29:17 A Conversation With President Zelensky
• June 3, 2024   •   32:07 How Trump’s Conviction Could Reshape the Election
• May 31, 2024   •   31:29 Guilty
• May 30, 2024   •   25:21 The Government Takes On Ticketmaster
• May 29, 2024   •   29:46 The Closing Arguments in the Trump Trial
• May 28, 2024   •   25:56 The Alitos and Their Flags
• May 24, 2024   •   25:18 Whales Have an Alphabet
• May 23, 2024   •   34:24 I.C.C. Prosecutor Requests Warrants for Israeli and Hamas Leaders
• May 22, 2024   •   23:20 Biden’s Open War on Hidden Fees

Hosted by Sabrina Tavernise

Featuring Andrew E. Kramer

Produced by Nina Feldman ,  Clare Toeniskoetter ,  Rob Szypko and Diana Nguyen

With Michael Simon Johnson

Edited by Lisa Chow

Original music by Marion Lozano ,  Elisheba Ittoop and Sophia Lanman

Engineered by Chris Wood

Listen and follow The Daily Apple Podcasts | Spotify | Amazon Music | YouTube

Five years ago, a TV personality and comedian, Volodymyr Zelensky, won the presidency in Ukraine in a landslide victory. When Russia launched a full-scale invasion of the country three years later, he faced the biggest challenge of his presidency and of his life. Despite initial success beating back one of the world’s largest armies, the tide has turned against him.

Andrew E. Kramer, the Kyiv bureau chief for The Times, sat down with Mr. Zelensky to discuss the war, and how it might end.

On today’s episode

Andrew E. Kramer , the Kyiv bureau chief for The New York Times.

Background reading

Read The New York Times’s interview with President Volodymyr Zelensky of Ukraine .

Explaining the debate over Ukraine’s use of Western weapons .

There are a lot of ways to listen to The Daily. Here’s how.

We aim to make transcripts available the next workday after an episode’s publication. You can find them at the top of the page.

Special thanks to Oleksandr Chubko .

The Daily is made by Rachel Quester, Lynsea Garrison, Clare Toeniskoetter, Paige Cowett, Michael Simon Johnson, Brad Fisher, Chris Wood, Jessica Cheung, Stella Tan, Alexandra Leigh Young, Lisa Chow, Eric Krupke, Marc Georges, Luke Vander Ploeg, M.J. Davis Lin, Dan Powell, Sydney Harper, Mike Benoist, Liz O. Baylen, Asthaa Chaturvedi, Rachelle Bonja, Diana Nguyen, Marion Lozano, Corey Schreppel, Rob Szypko, Elisheba Ittoop, Mooj Zadie, Patricia Willens, Rowan Niemisto, Jody Becker, Rikki Novetsky, John Ketchum, Nina Feldman, Will Reid, Carlos Prieto, Ben Calhoun, Susan Lee, Lexie Diao, Mary Wilson, Alex Stern, Sophia Lanman, Shannon Lin, Diane Wong, Devon Taylor, Alyssa Moxley, Summer Thomad, Olivia Natt, Daniel Ramirez and Brendan Klinkenberg.

Our theme music is by Jim Brunberg and Ben Landsverk of Wonderly. Special thanks to Sam Dolnick, Paula Szuchman, Lisa Tobin, Larissa Anderson, Julia Simon, Sofia Milan, Mahima Chablani, Elizabeth Davis-Moorer, Jeffrey Miranda, Maddy Masiello, Isabella Anderson, Nina Lassam and Nick Pitman.

Andrew E. Kramer is the Kyiv bureau chief for The Times, who has been covering the war in Ukraine since 2014. More about Andrew E. Kramer

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