Teach Starter, part of Tes Teach Starter, part of Tes
Search everything in all resources
Daily Maths Word Problems - Year 5
Updated: 04 Oct 2023
A set of 20 problem solving questions suited to year 5 students.
Non-Editable: PDF
Pages: 6 Pages
- Curriculum Curriculum: AUS V8, NSW, VIC, AUS V9
- Adobe Reader (pdf) Sign up to Plus
Identify and describe factors and multiples of whole numbers and use them to solve problems
Use estimation and rounding to check the reasonableness of answers to calculations
Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies and appropriate digital technologies
Solve problems involving division by a one digit number, including those that result in a remainder
Use efficient mental and written strategies and apply appropriate digital technologies to solve problems
WholeNumbers - orders, reads and represents integers of any size and describes properties of whole numbers
AdditionandSubtraction - selects and applies appropriate strategies for addition and subtraction with counting numbers of any size
MultiplicationandDivision - selects and applies appropriate strategies for multiplication and division, and applies the order of operations to calculations involving more than one operation
Express natural numbers as products of their factors, recognise multiples and determine if one number is divisible by another
Solve problems involving multiplication of larger numbers by one- or two-digit numbers, choosing efficient calculation strategies and using digital tools where appropriate; check the reasonableness of answers
Solve problems involving division, choosing efficient strategies and using digital tools where appropriate; interpret any remainder according to the context and express results as a whole number, decimal or fraction
Check and explain the reasonableness of solutions to problems including financial contexts using estimation strategies appropriate to the context
Use mathematical modelling to solve practical problems involving additive and multiplicative situations including financial contexts; formulate the problems, choosing operations and efficient calculation strategies, using digital tools where appropriate; interpret and communicate solutions in terms
Advance Your Students’ Problem-Solving Skills
This set of problem-solving questions has been designed to support teachers when teaching students about problem-solving in mathematics. It provides students with the opportunity to work through 20 maths word problems, identifying the important information and how they can work it out using a variety of methods.
An answer sheet has been included. Use this resource in conjunction with the Daily Maths Problems PowerPoint.
NAPLAN Year 5 Maths Preparation
These simple problem-solving questions are also a great way to help students understand some of the word problems they may encounter when sitting NAPLAN. It’s important to give your students strategies that they can draw on when presented with a word problem in maths. Using these problem-solving questions here are some suggested strategies you can empower your students with:
- Daily practice. After spending time explicitly explaining how to work through a word problem – use the word problems from these worksheets as daily problem-solving practice.
- Teach them the strategies. There are many ways students can solve maths word problems such as; breaking the word problem into smaller parts and drawing a picture to visualise what the problem is asking.
- Underline. Teach your students to underline the important parts of a maths word problem – remind them that there is often trick information in word problems that they don’t need to solve the problem.
How to Use This Resource
Once you download the PDF, there are many ways you can use the resource. Here are some suggestions:
- Print and create booklets for your students to use.
- Cut and laminate each word problem and have students use mini whiteboard markers to solve one problem a day.
Teach Starter Publishing
We create premium quality, downloadable teaching resources for primary/elementary school teachers that make classrooms buzz!
Write a review to help other teachers and parents like yourself. If you'd like to request a change to this resource, or report an error, select the corresponding tab above.
No comments yet.
Suggest a Change
Would you like something changed or customised on this resource? While our team makes every effort to complete change suggestions, we can't guarantee that every change will be completed.
Report an Error
Did you spot an error on this resource? Please let us know and we will fix it shortly.
Are you having trouble downloading or viewing this resource? Please try the following steps:
- Check that you are logged in to your account
- For premium resources, check that you have a paid subscription
- Check that you have installed Adobe Reader ( download here )
If you are still having difficulty, please visit the Teach Starter Help Desk or contact us .
You may also like
- Whole Number Operations →
- Word Problems →
- Worksheets →
- Teacher Planning →
- NAPLAN Year 5 →
Random Numbers MAB Flashcards 100-10000
Use these base ten block matching cards to help your students practise number recognition and place value skills for numbers up to four digits.
Place Value Cards - 10 000, 1000, 100, 10, 1
A set of place value cards to help students explore and expand larger numbers.
Percy's Place Value Puzzle
A worksheet to use to consolidate student understanding of place value to the thousands.
Identifying and Naming Angles – Cut-and-Paste Worksheet
Identify acute, right, obtuse, straight, reflex and revolution angles with this cut-and-paste sorting worksheet.
Piggy Bank Pigs - Australian Coins
Piggy Bank Pigs are a fun, hands on way for students to learn each of the coins and how their values add up to a certain amount.
Desk Plate Alphabet and Number Line - Butterflies and Lady Bugs
Lower Grade Desk Plates with the alphabet, number line and student's name on them.
Area of 2D Shapes Posters
Area of 2D Shapes - so many rules and formulas to remember!
Location Maths Investigation - Blackbeard's Bounty
A mathematics investigation about location, embedded in a real-world context.
Area And Perimeter Task Cards
Use these area and perimeter task cards in your maths lessons to give your students practice solving real-world word problems.
Identifying Numbers PowerPoint
A 14 page editable PowerPoint presentation to use when teaching number recognition to younger students.
Visual maths worksheets, each maths worksheet is differentiated and visual.
Year 5 Maths Worksheets
Our Year 5 Maths Worksheets are an excellent resource for students (aged 9-10) to practice and strengthen their maths skills. With clear instructions and plenty of examples, these worksheets are suitable for independent learning at home or in the classroom. They help pupils develop their problem-solving abilities while also reinforcing previously learnt concepts. All Year 5 Cazoom Maths PDF worksheets provide a wide range of questions and activities that cover all the critical topics from numbers, algebra, geometry, measurement and statistics. These worksheets are designed to challenge and assess pupils’ understanding and strengthen knowledge of decimals, fractions, rounding numbers, prime numbers, angles, reading from timetables and more.
MATHS WORKSHEETS FOR YEAR 5 STUDENTS
Try some free sample year 5 maths worksheets
Outstanding Year 5 Maths Worksheets
- Separate answers are included to make marking easy and quick.
- Over 100 pages of the highest quality year 5 maths worksheets. Each worksheet is differentiated, including a progressive level of difficulty as the worksheet continues.
- Single user licence for parents or teachers. Separate school licences are also available.
- Single digital pdf download, with worksheets organised into high level chapters of Number, Measurement and Geometry, and further by subtopics. See below for the extensive range of sheets included.
FUN and ENgaging Maths Worksheets
Our maths worksheets are thoughtfully designed to make mathematical problems great fun for your year 5 students.
This range of year 5 maths worksheets PDF are designed with colour and with the space for children to show their working. Our resources are perfect practice material for helping your child learn maths, enhance their reasoning skills, and for pupils to develop their mathematical knowledge.
Some of our most popular resources include those on multiplication word problems, measuring angles, ordering fractions, and even roman numerals!
With over 200 pages of mathematical problems for your students to work through, Cazoom Maths worksheets are the perfect way for your year 5 students to develop their mathematical skills .
ALL YEAR 5 TOPICS COVERED
Cazoom Maths pdf year 5 maths worksheets cover all topics in the curriculum at this formative stage for young learners.
We have worksheets covering addition and subtraction, place value, missing numbers, and resources requiring students to identify the correct number. The range also includes lots of different exercises of topics like equivalent fractions, formal written methods, number and place value, negative numbers, and much more.
Our resources include real life problems such as how to interpret different until, and use metric measures. Covering such a comprehensive range of maths topics, Cazoom has everything needed to help children practice their year 5 maths skills.
List of Topics
See below the list of topics covered. All KS1 and KS2 worksheets can be accessed here.
- Adding to a Single Digit
- Adding to a Two Digit Number
- Adding to a Three Digit Number
- Adding Three Numbers
- Number Bonds up to 20
- Number Bonds over 20
SUBTRACTION
- Single Digit Subtraction
- Two Digit Subtraction
- Three Digit Subtraction
- Working with the Difference
- Multiplication and Division worksheets
- Number and Place Value Worksheets
- Fractions, Decimals and Percentages
MEASUREMENT
- Metric Measures
- Area and Perimeter
- Properties of Shapes
- Position and Direction
- Transformations
ALGEBRA & STATISTICS
🏫 Back to School Offer 📚 - Get 25% off Premium Membership with code CAZOOM25
Thank You 🙌
- Home |
- About |
- Contact Us |
- Privacy |
- Newsletter |
- Shop |
- 🔍 Search Site
- Easter Color By Number Sheets
- Printable Easter Dot to Dot
- Easter Worksheets for kids
- Kindergarten
- All Generated Sheets
- Place Value Generated Sheets
- Addition Generated Sheets
- Subtraction Generated Sheets
- Multiplication Generated Sheets
- Division Generated Sheets
- Money Generated Sheets
- Negative Numbers Generated Sheets
- Fraction Generated Sheets
- Place Value Zones
- Number Bonds
- Addition & Subtraction
- Times Tables
- Fraction & Percent Zones
- All Calculators
- Fraction Calculators
- Percent calculators
- Area & Volume Calculators
- Age Calculator
- Height Calculator
- Roman Numeral Calculator
- Coloring Pages
- Fun Math Sheets
- Math Puzzles
- Mental Math Sheets
- Online Times Tables
- Online Addition & Subtraction
- Math Grab Packs
- All Math Quizzes
- Kindergarten Math Quizzes
- 1st Grade Quizzes
- 2nd Grade Quizzes
- 3rd Grade Quizzes
- 4th Grade Quizzes
- 5th Grade Quizzes
- 6th Grade Math Quizzes
- Place Value
- Rounding Numbers
- Comparing Numbers
- Number Lines
- Prime Numbers
- Negative Numbers
- Roman Numerals
- Subtraction
- Add & Subtract
- Multiplication
- Fraction Worksheets
- Learning Fractions
- Fraction Printables
- Percent Worksheets & Help
- All Geometry
- 2d Shapes Worksheets
- 3d Shapes Worksheets
- Shape Properties
- Geometry Cheat Sheets
- Printable Shapes
- Coordinates
- Measurement
- Math Conversion
- Statistics Worksheets
- Bar Graph Worksheets
- Venn Diagrams
- All Word Problems
- Finding all possibilities
- Logic Problems
- Ratio Word Problems
- All UK Maths Sheets
- Year 1 Maths Worksheets
- Year 2 Maths Worksheets
- Year 3 Maths Worksheets
- Year 4 Maths Worksheets
- Year 5 Maths Worksheets
- Year 6 Maths Worksheets
- All AU Maths Sheets
- Kindergarten Maths Australia
- Year 1 Maths Australia
- Year 2 Maths Australia
- Year 3 Maths Australia
- Year 4 Maths Australia
- Year 5 Maths Australia
- Meet the Sallies
- Certificates
Basic Algebra Worksheets
Welcome to the Math Salamanders' Basic Algebra Worksheets. Here you will find a range of algebra worksheets to help you learn about basic algebra, including generating and calculating algebraic expressions and solving simple problems.
For full functionality of this site it is necessary to enable JavaScript.
Here are the instructions how to enable JavaScript in your web browser .
Quicklinks to ...
Basic Algebra Support
Generate the Expression Worksheets
Calculate the Expression Worksheets
- Solve the Equations Worksheets
- More recommended resources
- Basic Algebra Online Quiz
Want to gain a basic understanding of algebra?
Looking for some simple algebra worksheets?
Do you need a bank of useful algebra resources?
Look no further! The pages you need are below!
Here is our selection of basic algebra sheets to try.
We have split the worksheets up into 3 different sections:
- Generate the algebra - and write your own algebraic expressions;
- Calculate the algebra - work out the value of different expressions;
- Solve the algebra - find the value of the term in the equation.
By splitting the algebra up into sections, you only need to concentrate on one aspect at a time!
Each question sheet comes with its own separate answer sheet.
Want to test yourself to see how well you have understood this skill?.
- Try our NEW quick quiz at the bottom of this page.
What is an algebraic expression?
An expression is a mathematical statement where variables and operations are combined.
- 2a + 5 is an expression involving the variable a
- 5(y 2 - 6) is another expression
What is an algebraic equation?
An equation is where an algebraic expression is equal to something, which might be a number, or another algebraic expression.
- 2a + 5 = 7 is an equation
- 5(y 2 - 6) = 3y + 8 is another equation
How to Generate an Expression
When we are generating an expression, we are taking a rule and turning it into algebra.
- Subtract 6 from n could be written as n - 6.
- Multiply d by 4 could be written as d x 4 or 4d.
- Add 5 to p and then double the result is written as (p + 5) x 2 or 2(p + 5)
How to Calculate an Expression
When we are calculating the value of an expression, we work out the value of the expression when we give a value to the variable.
- p + 5 has a value of 11 when p = 6 because 6 + 5 = 11
- 4(n - 2) has a value of 32 when n = 10 because 4 x (10 - 2) = 4 x 8 = 32
- 4(n - 2) has a value of -8 when n = 0 because 4 x (0 - 2) = 4 x (-2) = -8
How to Solve a Simple Equation
When we are solving an equation, we are finding out the value(s) of the variable in the equation.
- If p + 5 = 9 then p = 4 because 4 + 5 = 9
- then (n - 2) = 28 ÷ 4 = 7
- if (n - 2) = 7 then n = 7 + 2 = 9
- Answer: n = 9
- means that 3f = 12
- so f = 12 ÷ 3 = 4
- Answer: f = 4
Basic Algebra Worksheets for kids
- Generate the Expression 1
- PDF version
- Generate the Expression 2
- Generate the Expression 3
Generate the Expression Word Problems
- Algebra Word Problems 1
- Algebra Word Problems 2
- Algebra Word Problems 3
- Algebra Word Problems 3 UK Version
Algebra Word Problems Walkthrough Video
This short video walkthrough shows the problems from our Algebra Word Problems Worksheet 2 being solved and has been produced by the West Explains Best math channel.
If you would like some support in solving the problems on these sheets, please check out the video below!
- Calculate the Expression 1
- Calculate the Expression 2
- Calculate the Expression 3
Solve the Equation Worksheets
- Solve the Equation 1
- Solve the Equation 2
- Solve the Equation 3
More Recommended Math Worksheets
Take a look at some more of our worksheets similar to these.
Free Algebra Problem Solver
The Mathway Calculator is a great way to solve algebra problems that you can type into a calculator.
Try using this online calculator tool to solve one of your problems and watch it work!
There are a range of calculators to choose from to meet your needs.
The Mathway problem solver will answer your problem instantly and also give you a link to view each of the steps needed.
If you choose to 'View the steps' you will be directed to the Mathway website where you will be able to see in more detail each of the steps needed to solve the problem. Please note that Mathway may charge you a small fee for this!
- 6th Grade Distributive Property Worksheets
The sheets on this page have been designed to factorize and expand a range of simple expressions using the distributive property..
- Expressions and Equations 6th Grade
The sheets on this page have been specially designed for 6th graders and are a great introduction to expressions and equations.
Input and Output Function Tables
Have a go at these input and output tables.
Test your skills at finding inputs, outputs and rules.
Our easier sheets have rules instead of algebraic functions.
Our harder sheets use algebraic functions.
- Input and Output Tables Worksheets (easier)
- Input and Output Function Tables with Algebraic Functions
Factorising Quadratic Equations
Are you stuck on a quadratic equation and don't know what to do?
Are you looking for some worksheets on factorising quadratic equations to print out?
Take a look at our support pages on quadratic equations where you will hopefully find what you are looking for.
- Factorising Quadratic Equations Support page
- Factoring Quadratic Equations worksheets
- Algebra Math Games
If you are looking for a fun printable algebra game to play then try out our algebra game page.
You will find a range of algebra games that make learning algebra fun and non-threatening.
The only equipment you need is a scientific calculator, some dice, and a few counters!
PEMDAS Worksheets
The sheets in this section involve using parentheses and exponents in simple calculations.
There are also lots of worksheets designed to practice and learn about PEMDAS.
Using these worksheets will help your child to:
- know and understand how parentheses works;
- understand how exponents work in simple calculations.
- understand and use PEMDAS to solve a range of problems.
- PEMDAS Problems Worksheets 5th Grade
- 6th Grade Order of Operations
Interactive Equality Explorer
This interactive equality explorer has been produced by PhET Interactive Simulations at the University of Colorado.
It is a useful tool for exploring different ideas including negative numbers and algebra equations and equality.
Probably the most useful part of the app is to use the 'Solve It' section once you are confident how it works.
You can then select your level of difficulty and start solving some algebraic equations by getting your variables onto one side of the equation and the numerical values on the other, and then multiplying or dividing the equation until you find the value of the required variable.
- Interactive Equality Explorer by PhET
Basic Algebra Quiz
Our quizzes have been created using Google Forms.
At the end of the quiz, you will get the chance to see your results by clicking 'See Score'.
This will take you to a new webpage where your results will be shown. You can print a copy of your results from this page, either as a pdf or as a paper copy.
For incorrect responses, we have added some helpful learning points to explain which answer was correct and why.
We do not collect any personal data from our quizzes, except in the 'First Name' and 'Group/Class' fields which are both optional and only used for teachers to identify students within their educational setting.
We also collect the results from the quizzes which we use to help us to develop our resources and give us insight into future resources to create.
For more information on the information we collect, please take a look at our Privacy Policy
We would be grateful for any feedback on our quizzes, please let us know using our Contact Us link, or use the Facebook Comments form at the bottom of the page.
This quick quiz tests your knowledge and skill at generating and calculating expressions, as well as solving equations.
How to Print or Save these sheets 🖶
Need help with printing or saving? Follow these 3 steps to get your worksheets printed perfectly!
- How to Print support
Subscribe to Math Salamanders News
Sign up for our newsletter to get free math support delivered to your inbox each month. Plus, get a seasonal math grab pack included for free!
- Newsletter Signup
Return from Basic Algebra Worksheets to Math Salamanders Home Page
Math-Salamanders.com
The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.
We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.
New! Comments
TOP OF PAGE
© 2010-2024 Math Salamanders Limited. All Rights Reserved.
- Privacy Policy
- Copyright Policy
Mastery-Aligned Maths Tutoring
“The best thing has been the increase in confidence and tutors being there to deal with any misunderstandings straight away."
FREE daily maths challenges
A new KS2 maths challenge every day. Perfect as lesson starters - no prep required!
18 Word Problems For Year 5: Develop Their Problem Solving Skills Across Single and Mixed KS2 Topics
Emma Johnson
Word problems for Year 5 are a great way to assess pupils’ number fluency. By the time primary school children reach Upper Key Stage 2, they will be building on their knowledge and understanding of the number system and place value, working with larger integers. An increased understanding of the connections between the different maths concepts is crucial, as children will be expected to tackle more complex, multi-step problems.
It is important children are regularly provided with the opportunity to solve a range of word problems and Year 5 maths worksheets with reasoning and problem solving incorporated alongside fluency, into all lessons.
To help you with this, we have put together a collection of 18 word problems aimed at Year 5 maths pupils.
Place value
Addition and subtraction , multiplication and division , fractions, decimals and percentages, measurement , why are word problems important in year 5 maths, how to teach problem solving in year 5, addition word problems for year 5, subtraction word problems for year 5, multiplication word problems for year 5, division word problems for year 5, fraction and decimal word problems in year 5, mixed four operation word problems, word problem resources.
All Kinds of Word Problems
Download this free pack of multiplication word problems to help your Year 5 class grow their problem solving skills
Year 5 maths word problems in the national curriculum
The National Curriculum states that by Year 5, pupils should develop their ability to solve a wider range of problems, including increasingly complex properties of numbers and arithmetic, and problems demanding efficient written and mental methods of calculation. Children also begin to use the language of algebra for solving a range of problems.
By Year 5, pupils should be starting to gain confidence in solving more complex two-step and multi-step word problems, covering topics across the Year 5 curriculum.
Solve number and practical problems involving ordering and comparing numbers to at least 1,00,000; counting forwards or backwards in steps of powers of 10; interpreting negative numbers in context and rounding to the nearest 10,100, 1000, 10,000 and 100,000.
Solve addition and subtraction word problems and a combination of these, including understanding the meaning of the equals sign.
Solve problems involving multiplication and division, including using knowledge of factors, multiples, squares and cubes and scaling by simple fractions.
Solve problems involving numbers up to 3 decimal places and problems which require knowing percentage and decimal equivalents.
Solve time word problems and those involving converting between units of time and problems involving measure (for example, length, mass, volume and money word problems ) using decimal notation and scaling.
Solve comparison, sum and difference problems, using information presented in a line graph.
Word problems are an important element of the Year 5 curriculum. By this stage, children need to be building confidence in approaching a range of one, two and multi-step word problems . They require children to be creative and apply the skills they have learnt to a range of real-life situations.
Children need to be taught the skills for successfully approaching and tackling word problems. Reading the question carefully and identifying the key information needed to tackle the problem, is the first step, followed by identifying which calculations are required for solving it and deciding whether it will be helpful to draw a picture/ visual representation to understand and answer the question.
Using mental maths skills to round and estimate an answer is also very helpful for children to establish whether their final answer is realistic. Children need to also be able to calculate the inverse, to be able to check their answer, once the problem has been completed.
See also: Mental maths year 5
Here is an example:
A transport museum has 1243 visitors on Monday morning and another 1387 visitors in the afternoon. On Tuesday 736 fewer visitors go to the museum than who visited on Monday.
How many visitors were there altogether on Tuesday?
How to solve:
What do you already know?
- The number of visitors on Monday morning and Monday afternoon are given separately. They need to be added together to give the total number of visitors for Monday.
- ‘Fewer’ means I will need to subtract the number of fewer visitors on Tuesday from the total number of visitors on Monday.
- Column addition and subtraction will be needed to solve this question.
How can this be drawn/represented pictorially?
We can draw a bar model to represent this problem:
- To calculate the total number of visitors on Monday, we need to add 1243 and 1387 together. 1243 + 1387 = 2630
- The number of fewer visitors on Tuesday needs to be subtracted from Monday’s total: 2630 – 736 = 1894.
- The total number of visitors on Tuesday was 1894.
In Year 5, addition word problems can involve whole numbers with over 4 digits and decimal numbers. Children should be able to round number to check the accuracy and begin to solve two step number problems
Addition question 1
Gemma picks two cards from the cards below and adds them together. She is able to make three different totals. What will they be?
2365 6281 9782
Answer (2 marks) : 12,147 16,063 8646
Addition question 2
Ahmed adds two of these numbers mentally.
357 280 294 232
In his calculation, he exchanges twice to create one ten and one hundred. Write Ahmed’s calculation and work out the total.
Answer (1 mark) : 357 + 294 = 651
Addition question 3
Change one digit in the calculation below, so that the answer is a multiple of 10.
Answer (1 mark) : 723 + 347 = 1070
Subtraction word problems in Year 5 require pupils to be confident subtracting numbers over 4 digits and problems involving decimal numbers. Pupils need to be able to round numbers to check accuracy and to use subtraction when solving mixed word problems.
Subtraction question 1
A coach is travelling 4924 km across the USA It has 2476 km to go. How many kilometres has the coach already travelled?
Answer (1 mark) : 2448 km
Subtraction question 2
A primary school printed 7283 maths worksheets in the Summer term. 2156 were for Key Stage 1 pupils. How many were printed for Key Stage 2?
Answer (1 mark): 5127 worksheets
Subtraction question 3
A clothing company made £57,605 profit in 2021 and £73,403 in 2022. How much more profit did the company make in 2022 than in 2021?
Answer (1 mark): £15,798
In year 5, multiplication word problems include problems involving times tables and multiplying whole numbers up to 4-digits by 1 or 2-digit numbers. Pupils also need to be able to combine multiplication with other operations, in order to solve two-step word problems.
Multiplication question 1
In this diagram, the numbers in the circles are multiplied together to make the answer in the square between them.
Complete the missing numbers.
Answer (1 mark)
Multiplication question 2
Mrs Jones was printing the end of year maths test. Each test had 18 pages and 89 pupils were sitting the test. Mrs Jones also needed to print out 12 copies for the teachers and Teaching Assistants who were helping to run the test.
How many pieces of paper did Mrs Jones need to put in the photocopier, to make sure she had enough for all the tests?
Multiplication question 3
A school is booking a trip to Alton Towers. Tickets cost £22 per pupil. There are 120 children in each year group and all the children from 3 year groups will be going.
What will be the total price for all the tickets?
Answer (2 marks): £7920
Third Space Learning often ties word problems into our online one-to-one tutoring. Each lesson is personalised to the needs of the individual student, growing maths knowledge and problem solving skills.
In Year 5, division word problems can involve whole numbers up to 4 digits being divided by 1-digit numbers. Pupils need to understand how to answer word problems, when the answer involves a remainder.
Division question 1
Tom has 96 cubes and makes 12 equal towers. Masie has 63 cubes and makes 9 equal towers. Whose towers are tallest and by how many cubes?
Answer (2 marks): Tom
Tom’s tower has more cubes. His towers have 1 more cube than Maise’s towers.
96 ÷ 12 = 8
Division question 2
A cake factory has made cakes to deliver to a large event. 265 cakes have been baked. How many boxes of 8 cakes can be delivered to the event?
Answer (2 marks) : 33 boxes
Division question 3
Lily collected 1256 stickers. She shared them between her 8 friends. How many stickers did each friend get
Answer (1 mark): 157 stickers
In Year 5, fractions word problems and decimals can include questions involving ordering, addition and subtraction of fractions. They can also involve converting between fractions and decimals.
Fraction and decimal question 1
Isobel collected 24 conkers. She gave \frac{1}{8} of the conkers to her brother. How many conkers did she have left?
Answer (1 mark): 21 conkers left
\frac{1}{8} of 24 = 3
24 – 4 = 21
Fraction and decimal question 2
Ahmed counted out 32 sweets. He gave \frac{1}{4} of the sweets to his brother and \frac{3}{8} of the sweets to his friend. How many sweets did he have left?
Answer (2 marks): 12 sweets
\frac{1}{4} of 32 = 8
\frac{3}{8} of 32 = 12
He gave away 20 sweets, so had 12 left for himself.
Fraction and decimal question 3
Two friends shared some pizzas, 1 ate 1 \frac{1}{2} pizzas, whilst the other ate \frac{5}{8} of a pizza. How much did they eat altogether?
Answer (1 mark): 2 \frac{1}{8} of pizza
1 \frac{1}{2} = \frac{12}{8}
\frac {12}{8} + \frac{5}{8} = \frac{17}{8} = 2 \frac{1}{8} pizzas
Problems with mixed operations, or ‘multi-step’ word problems, require two or more operations to solve them. A range of concepts can be covered within mixed problems, including the four operations, fractions, decimals and measures. These are worth more marks than some of the more straightforward, one-step problems.
Mixed operation question 1
At the cake sale, Sam buys 6 cookies and a cupcake . He pays £2.85 altogether. Naya buys 2 cookies and pays 90p altogether.
How much does the cupcake cost?
Answer (2 marks): 60p for one cupcake
Mixed operation question 2
Large biscuit tin – 48 biscuits (picture of boxes here) Small biscuit tin – 30 biscuits Ben bought 2 large tins of biscuits and 3 small tins.
How many biscuits did he buy altogether?
Answer (2 marks): 186 biscuits
2 x 48 = 96
3 x 30 = 90
96 + 90 = 186 biscuits
Mixed operation question 3
The owner of a bookshop bought a box of 15 books for £150.
He sold the books individually for £12 each.
How much profit did he make?
Answer (2 marks)
Third Space Learning offers a wide array of maths and word problems resources for other year groups such as word problems for year 6 , word problems for year 3 and word problems for year 4 . Our word problem collection covers all four operations and other specific maths topics such as ratio word problems and percentage word problems .
DO YOU HAVE STUDENTS WHO NEED MORE SUPPORT IN MATHS?
Every week Third Space Learning’s specialist primary maths tutors support thousands of students across hundreds of schools with weekly online 1 to 1 maths lessons designed to plug gaps and boost progress.
Since 2013 these personalised one to one lessons have helped over 169,000 primary and secondary students become more confident, able mathematicians.
Learn how tutors develop pupils’ maths fluency or request a personalised quote for your school to speak to us about your school’s needs and how we can help.
Related articles
Maths Problem Solving: Engaging Your Students And Strengthening Their Mathematical Skills
Free Year 7 Maths Test With Answers And Mark Scheme: Mixed Topic Questions
What Is A Number Square? Explained For Primary School Teachers, Parents & Pupils
What Is Numicon? Explained For Primary School Teachers, Parents And Pupils
FREE Guide to Maths Mastery
All you need to know to successfully implement a mastery approach to mathematics in your primary school, at whatever stage of your journey.
Ideal for running staff meetings on mastery or sense checking your own approach to mastery.
Privacy Overview
- Skip to main content
- Skip to primary sidebar
- Skip to footer
Additional menu
Khan Academy Blog
Free Math Worksheets — Over 100k free practice problems on Khan Academy
Looking for free math worksheets.
You’ve found something even better!
That’s because Khan Academy has over 100,000 free practice questions. And they’re even better than traditional math worksheets – more instantaneous, more interactive, and more fun!
Just choose your grade level or topic to get access to 100% free practice questions:
Kindergarten, basic geometry, pre-algebra, algebra basics, high school geometry.
- Trigonometry
Statistics and probability
High school statistics, ap®︎/college statistics, precalculus, differential calculus, integral calculus, ap®︎/college calculus ab, ap®︎/college calculus bc, multivariable calculus, differential equations, linear algebra.
- Addition and subtraction
- Place value (tens and hundreds)
- Addition and subtraction within 20
- Addition and subtraction within 100
- Addition and subtraction within 1000
- Measurement and data
- Counting and place value
- Measurement and geometry
- Place value
- Measurement, data, and geometry
- Add and subtract within 20
- Add and subtract within 100
- Add and subtract within 1,000
- Money and time
- Measurement
- Intro to multiplication
- 1-digit multiplication
- Addition, subtraction, and estimation
- Intro to division
- Understand fractions
- Equivalent fractions and comparing fractions
- More with multiplication and division
- Arithmetic patterns and problem solving
- Quadrilaterals
- Represent and interpret data
- Multiply by 1-digit numbers
- Multiply by 2-digit numbers
- Factors, multiples and patterns
- Add and subtract fractions
- Multiply fractions
- Understand decimals
- Plane figures
- Measuring angles
- Area and perimeter
- Units of measurement
- Decimal place value
- Add decimals
- Subtract decimals
- Multi-digit multiplication and division
- Divide fractions
- Multiply decimals
- Divide decimals
- Powers of ten
- Coordinate plane
- Algebraic thinking
- Converting units of measure
- Properties of shapes
- Ratios, rates, & percentages
- Arithmetic operations
- Negative numbers
- Properties of numbers
- Variables & expressions
- Equations & inequalities introduction
- Data and statistics
- Negative numbers: addition and subtraction
- Negative numbers: multiplication and division
- Fractions, decimals, & percentages
- Rates & proportional relationships
- Expressions, equations, & inequalities
- Numbers and operations
- Solving equations with one unknown
- Linear equations and functions
- Systems of equations
- Geometric transformations
- Data and modeling
- Volume and surface area
- Pythagorean theorem
- Transformations, congruence, and similarity
- Arithmetic properties
- Factors and multiples
- Reading and interpreting data
- Negative numbers and coordinate plane
- Ratios, rates, proportions
- Equations, expressions, and inequalities
- Exponents, radicals, and scientific notation
- Foundations
- Algebraic expressions
- Linear equations and inequalities
- Graphing lines and slope
- Expressions with exponents
- Quadratics and polynomials
- Equations and geometry
- Algebra foundations
- Solving equations & inequalities
- Working with units
- Linear equations & graphs
- Forms of linear equations
- Inequalities (systems & graphs)
- Absolute value & piecewise functions
- Exponents & radicals
- Exponential growth & decay
- Quadratics: Multiplying & factoring
- Quadratic functions & equations
- Irrational numbers
- Performing transformations
- Transformation properties and proofs
- Right triangles & trigonometry
- Non-right triangles & trigonometry (Advanced)
- Analytic geometry
- Conic sections
- Solid geometry
- Polynomial arithmetic
- Complex numbers
- Polynomial factorization
- Polynomial division
- Polynomial graphs
- Rational exponents and radicals
- Exponential models
- Transformations of functions
- Rational functions
- Trigonometric functions
- Non-right triangles & trigonometry
- Trigonometric equations and identities
- Analyzing categorical data
- Displaying and comparing quantitative data
- Summarizing quantitative data
- Modeling data distributions
- Exploring bivariate numerical data
- Study design
- Probability
- Counting, permutations, and combinations
- Random variables
- Sampling distributions
- Confidence intervals
- Significance tests (hypothesis testing)
- Two-sample inference for the difference between groups
- Inference for categorical data (chi-square tests)
- Advanced regression (inference and transforming)
- Analysis of variance (ANOVA)
- Scatterplots
- Data distributions
- Two-way tables
- Binomial probability
- Normal distributions
- Displaying and describing quantitative data
- Inference comparing two groups or populations
- Chi-square tests for categorical data
- More on regression
- Prepare for the 2020 AP®︎ Statistics Exam
- AP®︎ Statistics Standards mappings
- Polynomials
- Composite functions
- Probability and combinatorics
- Limits and continuity
- Derivatives: definition and basic rules
- Derivatives: chain rule and other advanced topics
- Applications of derivatives
- Analyzing functions
- Parametric equations, polar coordinates, and vector-valued functions
- Applications of integrals
- Differentiation: definition and basic derivative rules
- Differentiation: composite, implicit, and inverse functions
- Contextual applications of differentiation
- Applying derivatives to analyze functions
- Integration and accumulation of change
- Applications of integration
- AP Calculus AB solved free response questions from past exams
- AP®︎ Calculus AB Standards mappings
- Infinite sequences and series
- AP Calculus BC solved exams
- AP®︎ Calculus BC Standards mappings
- Integrals review
- Integration techniques
- Thinking about multivariable functions
- Derivatives of multivariable functions
- Applications of multivariable derivatives
- Integrating multivariable functions
- Green’s, Stokes’, and the divergence theorems
- First order differential equations
- Second order linear equations
- Laplace transform
- Vectors and spaces
- Matrix transformations
- Alternate coordinate systems (bases)
Frequently Asked Questions about Khan Academy and Math Worksheets
Why is khan academy even better than traditional math worksheets.
Khan Academy’s 100,000+ free practice questions give instant feedback, don’t need to be graded, and don’t require a printer.
Math Worksheets | Khan Academy |
---|---|
Math worksheets take forever to hunt down across the internet | Khan Academy is your one-stop-shop for practice from arithmetic to calculus |
Math worksheets can vary in quality from site to site | Every Khan Academy question was written by a math expert with a strong education background |
Math worksheets can have ads or cost money | Khan Academy is a nonprofit whose resources are always free to teachers and learners – no ads, no subscriptions |
Printing math worksheets use up a significant amount of paper and are hard to distribute during virtual learning | Khan Academy practice requires no paper and can be distributed whether your students are in-person or online |
Math worksheets can lead to cheating or a lack of differentiation since every student works on the same questions | Khan Academy has a full question bank to draw from, ensuring that each student works on different questions – and at their perfect skill level |
Math worksheets can slow down student learning since they need to wait for feedback | Khan Academy gives instant feedback after every answer – including hints and video support if students are stuck |
Math worksheets take up time to collect and take up valuable planning time to grade | Khan Academy questions are graded instantly and automatically for you |
What do Khan Academy’s interactive math worksheets look like?
Here’s an example:
What are teachers saying about Khan Academy’s interactive math worksheets?
“My students love Khan Academy because they can immediately learn from their mistakes, unlike traditional worksheets.”
Is Khan Academy free?
Khan Academy’s practice questions are 100% free—with no ads or subscriptions.
What do Khan Academy’s interactive math worksheets cover?
Our 100,000+ practice questions cover every math topic from arithmetic to calculus, as well as ELA, Science, Social Studies, and more.
Is Khan Academy a company?
Khan Academy is a nonprofit with a mission to provide a free, world-class education to anyone, anywhere.
Want to get even more out of Khan Academy?
Then be sure to check out our teacher tools . They’ll help you assign the perfect practice for each student from our full math curriculum and track your students’ progress across the year. Plus, they’re also 100% free — with no subscriptions and no ads.
Get Khanmigo
The best way to learn and teach with AI is here. Ace the school year with our AI-powered guide, Khanmigo.
For learners For teachers For parents
- Solve equations and inequalities
- Simplify expressions
- Factor polynomials
- Graph equations and inequalities
- Advanced solvers
- All solvers
- Arithmetics
- Determinant
- Percentages
- Scientific Notation
- Inequalities
What can QuickMath do?
QuickMath will automatically answer the most common problems in algebra, equations and calculus faced by high-school and college students.
- The algebra section allows you to expand, factor or simplify virtually any expression you choose. It also has commands for splitting fractions into partial fractions, combining several fractions into one and cancelling common factors within a fraction.
- The equations section lets you solve an equation or system of equations. You can usually find the exact answer or, if necessary, a numerical answer to almost any accuracy you require.
- The inequalities section lets you solve an inequality or a system of inequalities for a single variable. You can also plot inequalities in two variables.
- The calculus section will carry out differentiation as well as definite and indefinite integration.
- The matrices section contains commands for the arithmetic manipulation of matrices.
- The graphs section contains commands for plotting equations and inequalities.
- The numbers section has a percentages command for explaining the most common types of percentage problems and a section for dealing with scientific notation.
Math Topics
More solvers.
- Add Fractions
- Simplify Fractions
Please ensure that your password is at least 8 characters and contains each of the following:
- a special character: @$#!%*?&
- International
- Education Jobs
- Schools directory
- Resources Education Jobs Schools directory News Search
Year 5 mixed operation word problems
Subject: Mathematics
Age range: 7-11
Resource type: Worksheet/Activity
Last updated
12 May 2020
- Share through email
- Share through twitter
- Share through linkedin
- Share through facebook
- Share through pinterest
A range of mixed operation Maths word problems that are in line with NC targets for Year 5 but suitable across all of Key Stage Two
Creative Commons "Attribution"
Your rating is required to reflect your happiness.
It's good to leave some feedback.
Something went wrong, please try again later.
Thanks a lot! The exercises have been really helpful to my students ;-)
Empty reply does not make any sense for the end user
Report this resource to let us know if it violates our terms and conditions. Our customer service team will review your report and will be in touch.
Not quite what you were looking for? Search by keyword to find the right resource:
Reading & Math for K-5
- Kindergarten
- Learning numbers
- Comparing numbers
- Place Value
- Roman numerals
- Subtraction
- Multiplication
- Order of operations
- Drills & practice
- Measurement
- Factoring & prime factors
- Proportions
- Shape & geometry
- Data & graphing
- Word problems
- Children's stories
- Leveled Stories
- Sentences & passages
- Context clues
- Cause & effect
- Compare & contrast
- Fact vs. fiction
- Fact vs. opinion
- Main idea & details
- Story elements
- Conclusions & inferences
- Sounds & phonics
- Words & vocabulary
- Reading comprehension
- Early writing
- Numbers & counting
- Simple math
- Social skills
- Other activities
- Dolch sight words
- Fry sight words
- Multiple meaning words
- Prefixes & suffixes
- Vocabulary cards
- Other parts of speech
- Punctuation
- Capitalization
- Narrative writing
- Opinion writing
- Informative writing
- Cursive alphabet
- Cursive letters
- Cursive letter joins
- Cursive words
- Cursive sentences
- Cursive passages
- Grammar & Writing
Breadcrumbs
Download & Print From only $2.60
5th Grade Math Word Problems Worksheets
Math word problem worksheets for grade 5.
These worksheets present students with real world word problems that students can solve with grade 5 math concepts.
We encourage students to think about the problems carefully by:
- providing a number of mixed word problem worksheets
- including irrelevant data so students need to understand the context before applying a solution
The four operations
Mixed 4 operations
Estimating and rounding word problems
Grade 5 fractions and decimal word problems
Addition and subtraction of fractions
Addition and subtraction of mixed numbers
Division of numbers with fractional answers
Dividing by unit fractions
Multiplying fractions word problems
Mixed operations with fractions
More mixed fraction word problems
Decimals word problems
Measurement word problems
Mass and weight word problems
Volume and capacity word problems
Length word problems
Word problems worksheets with variables
Variables and expressions
Variables and equations
Other grade 5 word problems worksheets
Volume of rectangular prisms
GCF / LCM word problems
Mixed grade 5 word problems
Sample Grade 5 Word Problem Worksheet
More word problem worksheets
Explore all of our math word problem worksheets , from kindergarten through grade 5.
What is K5?
K5 Learning offers free worksheets , flashcards and inexpensive workbooks for kids in kindergarten to grade 5. Become a member to access additional content and skip ads.
Our members helped us give away millions of worksheets last year.
We provide free educational materials to parents and teachers in over 100 countries. If you can, please consider purchasing a membership ($24/year) to support our efforts.
Members skip ads and access exclusive features.
Learn about member benefits
This content is available to members only.
Join K5 to save time, skip ads and access more content. Learn More
IMAGES
VIDEO
COMMENTS
Using these Year 5 maths worksheets will help your child learn to: apply their division facts up to 10x10 to answer related questions involving 10s and 100s. divide any whole number by a single digit. Divding by Multiples of 10 and 100 Worksheets. Year 5 (4th Grade) Long Division Worksheets.
Introducing algebra. Our grade 5 pre-algebra worksheets introduce the use of variables in expressions and equations. Worksheets include one and two variable expressions, simplifying expressions and solving equations. Algebra vocabulary. Expressions with one variable. x + 12. Expressions with two variables. 2 + x - y. Write algebraic expressions.
These fantastic algebra worksheets are perfect for Year 5 children. In Year 5, children will start to develop their algebra skills and knowledge. They'll begin to comfortably recognise that letters can represent different mathematical values. This means they'll move on to solving more complex problems using algebra and algebraic equations.
Year 5 Maths Worksheets for long multiplication. By the end of Year 5, children are expected to be able to multipy up to 4-digit numbers by 1- and 2-digit numbers, and multiply decimal and whole numbers by multiples of 10 up to 1000, according to the National Curriculum. These worksheets help pupils improve their skills with the former, with 45 ...
Equations with 2 variables worksheets. Students work with tables to solve equations of x and y by evaluating expressions in the form y=f (x). Liked this post? Click to share! Algebra worksheets. K5 has created a new section of multiple worksheets covering the introduction to algebra for grade 5 students.
This pack features nine units covering the problem-solving aspects of year 5 maths. Each unit includes comprehensive activities, differentiated to three levels, based on the number problem-solving objectives in the year 5 maths curriculum. Includes example sections for whole class scaffolded work, investigations, word problems, teaching notes
These fantastic algebra worksheets are perfect for Year 5 children. In Year 5, children will start to develop their algebra skills and knowledge. They'll begin to comfortably recognise that letters can represent different mathematical values. This means they'll move on to solving more complex problems using algebra and algebraic equations.
This set of problem-solving questions has been designed to support teachers when teaching students about problem-solving in mathematics. It provides students with the opportunity to work through 20 maths word problems, identifying the important information and how they can work it out using a variety of methods. An answer sheet has been included.
They help pupils develop their problem-solving abilities while also reinforcing previously learnt concepts. All Year 5 Cazoom Maths PDF worksheets provide a wide range of questions and activities that cover all the critical topics from numbers, algebra, geometry, measurement and statistics. These worksheets are designed to challenge and assess ...
The pages you need are below! Here is our selection of basic algebra sheets to try. We have split the worksheets up into 3 different sections: Generate the algebra - and write your own algebraic expressions; Calculate the algebra - work out the value of different expressions; Solve the algebra - find the value of the term in the equation.
These word problems for Year 5 will help to improve your students' problem solving skills. Includes a wide variety of practice questions. ... Children also begin to use the language of algebra for solving a range of problems. By Year 5, pupils should be starting to gain confidence in solving more complex two-step and multi-step word problems ...
Khan Academy's 100,000+ free practice questions give instant feedback, don't need to be graded, and don't require a printer. Math Worksheets. Khan Academy. Math worksheets take forever to hunt down across the internet. Khan Academy is your one-stop-shop for practice from arithmetic to calculus. Math worksheets can vary in quality from ...
Keep your pupils engaged in learning with these fantastic year 5 maths challenge cards. The set contains 20 maths problems designed to get children thinking and practising their maths knowledge.The cards ask year 5 children to solve maths problems involving:Fractions;Geometry;Measurement;Division;Subtraction;Decimals;Percentages;Addition;Multiplication.The set also comes with answer sheet ...
These fantastic algebra worksheets are perfect for Year 5 children. In Year 5, children will start to develop their algebra skills and knowledge. They'll begin to comfortably recognise that letters can represent different mathematical values. This means they'll move on to solving more complex problems using algebra and algebraic equations.
The Mashup Math 5th Grade Math Worksheets Library included over 300 5th grade math worksheets pdf downloads with complete answer keys that cover key fifth grade math topics including the order of operations, fractions and decimals, geometry, algebra, and word problems. Every worksheet in the library below was specifically designed to meet the ...
Students solve basic (1-step) algebraic equations using the 4 operations. Answers in the form x =. Add / subtract: Worksheet #1 Worksheet #2. Multiply / divide: Worksheet #3 Worksheet #4. 4 Operations: Worksheet #5 Worksheet #6. 6 More.
QuickMath will automatically answer the most common problems in algebra, equations and calculus faced by high-school and college students. The algebra section allows you to expand, factor or simplify virtually any expression you choose. It also has commands for splitting fractions into partial fractions, combining several fractions into one and ...
Free math problem solver answers your algebra homework questions with step-by-step explanations. Mathway. Visit Mathway on the web. Start 7-day free trial on the app. Start 7-day free trial on the app. Download free on Amazon. Download free in Windows Store. Take a photo of your math problem on the app. get Go. Algebra. Basic Math.
K5 Learning offers free worksheets, flashcards and inexpensive workbooks for kids in kindergarten to grade 5. Become a member to access additional content and skip ads. 5th grade math worksheets: Multiplication, division, place value, rounding, fractions, decimals , factoring, geometry, measurement & word problems. No login required.
Age range: 7-11. Resource type: Worksheet/Activity. File previews. docx, 27.22 KB. docx, 23.84 KB. docx, 23.92 KB. docx, 25.38 KB. A range of mixed operation Maths word problems that are in line with NC targets for Year 5 but suitable across all of Key Stage Two. Creative Commons "Attribution".
Maths word problems are a fantastic problem-solving exercises. They encourage children to think on their feet, work backwards and come up with solutions. In these Year 5 Maths worksheets in PDF format, word problems are also put into the context of everyday life. They're an excellent way of engaging children with life outside of the classroom ...
Here are some of our favourite options: Year 5 NAPLAN Preparation and Practice Exams Resource Pack 4; Open-Ended Maths Investigation Challenge Cards; Year 5 Working Backwards Maths Word Problems. These resources have been created specifically to support upper-primary school students in their preparation for the NAPLAN exams.
Math word problem worksheets for grade 5. These worksheets present students with real world word problems that students can solve with grade 5 math concepts. ... please consider purchasing a membership ($24/year) to support our efforts. Members skip ads and access exclusive features. Learn about member benefits .