year 3 length homework

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Year 3 Maths Worksheets UK Hub Page

Welcome to our Year 3 Maths Worksheets area. Here you will find links to our Year 3 Math worksheets for your child will enjoy.

Come and take a look at our multiplication pages, or money flashcards. Perhaps you would prefer our telling the time worksheets, maths games or identifying 2d and 3d shapes in the geometry section?

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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.

Year 3 Maths Learning

Here are some of the key learning objectives for the end of Year 3:

• know and use Place value up to 1000
• Compare and order numbers up to 1000
• Counting on and back in 1s, 10s and 100s from different starting points
• Position numbers on a number line up to 1000
• know addition and subtraction facts to 20
• add or subtract 1s, 10s or 100s from a 3-digit number
• subtract 2- and 3-digit numbers in columns
• solve problems using addition and subtraction
• count from 0 in multiplies of 4, 8, 50 and 100
• recall and use multiplication and division facts from the 2, 3, 4, 5, 8 and 10 times tables
• multiply 2-digit numbers by a 1-digit number
• solve problems using multiplication and division
• count up and down in tenths
• understand tenths as decimals
• recognise and use fractions as numbers
• understand and use fractions of objects or shapes
• add and subtract amounts of money
• use £ and p notation correctly
• measure, compare, add and subtract lengths, mass and volume
• measure the perimeter of simple 2D shapes
• tell the time from an analogue clock
• convert between 12- and 24-hour clock
• measure and compare times
• Identify angles including right angles
• identify acute and obtuse angles
• identify horizontal, vertical, parallel and perpendicular lines
• recognise and draw 2D and 3D shapes
• interpret and present data in bar graphs, pictograms and tables
• solve 1-step and 2-step problems using data in tables, pictograms and graphs

Please note:

Our site is mainly based around the US Elementary school math standards.

Though the links on this page are all designed primarily for students in the US, but they are also at the correct level and standard for UK students.

The main issue is that some of the spelling is different and this site uses US spelling.

Year 3 is generally equivalent to 2nd Grade in the US.

On this page you will find link to our range of math worksheets for Year 3.

Quicklinks to Year 3 ...

• Place Value Zone
• Mental Math Zone

Word Problems Zone

Fractions zone.

• Measurement Zone

Geometry Zone

Data analysis zone.

• Fun Zone: games and puzzles

Coronavirus Stay At Home Support

For those parents who have found themselves unexpectedly at home with the kids and need some emergency activities for them to do, we have started to develop some Maths Grab Packs for kids in the UK.

Each pack consists of at least 10 mixed math worksheets on a variety of topics to help you keep you child occupied and learning.

The idea behind them is that they can be used out-of-the-box for some quick maths activities for your child.

They are completely FREE - take a look!

• Free Maths Grabs Packs

Place Value & Number Sense Zone

Year 3 place value charts.

Here you will find a range of Free Printable Number Charts for Years 2 & 3.

These printable charts will help your child learn to read and write numbers.

Some of the charts are partially filled to help your child learn their place value.

Using these sheets will help your child to:

• learn to count in tens and ones;
• learn to read and write numbers.
• Printable Number Charts 0-99
• Hundred Number Charts (100 Squares)
• Number Grid up to 200
• Number Grid up to 300

Place Value & Counting Worksheets

Below are our selection of Place Value, Ordering and Rounding Worksheets

Using these Year 3 Maths worksheets will help your child to:

• learn to count by hundreds, tens, fives, twos and ones;
• learn their place value to Hundreds;
• order numbers to 999.
• Place Value Models and Representations
• Place Value Worksheets 3 Digits
• Math Practice - Counting by 1s 2s 5s 10s 100s

Ordering and Rounding Worksheets (3-digits)

Once your child is confident with their place value to hundreds, they can start learning about ordering and rounding numbers.

The Year 3 Maths worksheets here will help your child learn to compare numbers to 999, and round numbers to the nearest 10.

• Ordering Numbers Worksheets up to 3-Digits

Year 3 Number Line Worksheets

The following webpages involve correctly placing numbers on a number line.

Using these Year 3 maths worksheets will help your child to:

• count by 1s 2s 5s 10s 50s and 100s;
• position numbers on a number line;
• understand place value up to 3 digits.
• Number lines up to 100 (easier)
• Number Line Worksheets 3 Digits

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Year 3 Mental Maths Zone

Here you will find a range of printable mental math sheets for Year 3 to enjoy.

Each quiz tests the children on a range of math topics from number facts and mental arithmetic to geometry, fraction and measures questions.

A great way to revise topics, or use as a weekly math test or math quiz!

• Year 3 Mental Maths Worksheets Series A
• Year 3 Mental Maths Worksheets Series B

Year 3 Addition Worksheets

• learn their addition facts to 20+20
• learn how to solve addition sums where one of the addends is missing, but the total is given;
• learn to add numbers to 999 in columns.
• Number Bonds to 20
• Math Addition Facts to 20
• 2 Digit Column Addition Without Regrouping
• 2 Digit Column Addition Worksheets With Regrouping
• 3 Digit Column Addition Worksheets

Year 3 Subtraction Worksheets

The following worksheets involve using the skills of subtracting numbers, and solving subtraction problems.

• know their subtraction facts to 20;
• know how addition and subtraction are related to each other;
• learn to do 3 digit column subtraction.
• Subtraction Facts to 20 Worksheets
• Two Digit Subtraction Worksheets Without Regrouping
• 2 Digit Subtraction Worksheets With Regrouping
• 3 Digit Subtraction Worksheets

Addition & Subtraction Worksheets

You can create your own addition and subtraction worksheets with our random generator.

All you need to do is to set your number size and let the generator do the rest!

• Addition Subtraction Fact Worksheets
• Column Addition and Subtraction Worksheets

Year 3 Multiplication Worksheets

The following worksheets involve using the Year 3 Maths skills of multiplying, and solving multiplication problems.

• learn their multiplication tables up to 5 x 5;
• understand multiplication as repeated addition;
• learn how multiplication and division are related to each other.

Online Times Table Practice

• Times Tables Online Practice Zone
• Understanding Multiplication Worksheets
• Printable Times Tables - 2 Times Table sheets
• Printable Times Tables - 3 Times Table sheets
• Times Tables for kids - 4 Times Table sheets
• Times Table Math - 5 Times Table sheets
• Learning Times Tables - 8 Times Table

Multiplication Word Problems

• Year 3 Multiplication Word Problems (2nd Grade)

Randomly Generated Multiplication Worksheets

• Times Tables Worksheets (randomly generated)

2 Digit by 1 Digit Written Multiplication

• Multiplication Worksheets for 3rd Grade 2-digits by 1-digit
• Year 3 Division Worksheets

The following worksheets involve using the skills of dividing, and solving division problems.

Using these Year 3 maths worksheets will help your child learn to:

• understand division as repeated subtraction or sharing;
• understand different models of division;
• Division Facts Worksheets (randomly generated)

Here are a range of problems solving sheets for Year 3 children. Most of the sheets contain 'real-life' problems related to animal facts.

Using the sheets will help your child to:

• apply their addition, subtraction, and multiplication skills;
• apply their knowledge of rounding and place value;
• solve a range of 'real life' problems.

These sheets involve solving one or two more challenging longer problems. This link opens in a new tab.

• Year 3 Maths Challenges

These sheets involve solving many 'real-life' problems involving data.

• Year 3 Math Word Problems

These sheets involve solving a range of addition word problems within 100.

• Addition Word Problems 2nd grade

These sheets involve solving a range of subtraction word problems up to 100.

• Subtraction Word Problems 2nd grade
• 2nd Grade Addition and Subtraction Word Problems

These sheets involve solving a range of multiplication problems.

• Multiplication Word Problems Year 3

Year 3 Fraction Worksheets

• understand what a half is;
• shade in half of a shape;
• find different numbers involving 'halves' on a number line;
• find half of different numbers up to 20.
• Fraction Math Worksheets - Understanding a half
• Fraction Riddles for kids (easier)

Year 3 Geometry Worksheets

At a Year 3 level, children are introduced to a wider range of 2d and 3d shapes, and start to learn to reflect, flip and rotate shapes.

They are able to classify and sort two-dimensional shapes using different criteria, and they learn the properties of three-dimensional shapes.

The following worksheets will help your child to:

• Identify and name a range of 2d and 3d shapes;
• Draw 2d shapes;
• Know some of the properties of 2d shapes.
• Year 3 Geometry Worksheets (2nd Grade)

Symmetry Worksheets

• learn how to reflect simple shapes in a horizontal or vertical mirror line;
• learn how to reflect simple shapes in 2 mirror lines.
• Symmetry Worksheets - Block Symmetry

Measurement Zone, including Time & Money

Year 3 measurement worksheets.

These sheets involve reading scales going up in ones, fives, tens and hundreds to find the length, weight or liquid capacity.

Using these sheets will help children to consolidate their counting as well as learning to read a simple scale.

• Year 3 Measurement Worksheets (2nd Grade)

Counting Money Worksheets UK - £2, £1, 50p and 20p coins

Here you will find a selection of Counting Money sheets designed to help your child count different amounts of money using UK coins up to £2.

• count a range of coins up to £5
• compare money amounts
• apply their existing skills to puzzle out clues;
• understand money terminology;
• develop their thinking skills.

The free Year 3 Money worksheets in this section are suitable for children in Years 2 and 3.

• Free Money Worksheets UK Coins up to £1
• Year 3 Money Worksheets to £5
• Money Riddles for Kids (UK coins)
• Year 3 Money Challenges

Time Worksheets

Here are our collection of clock worksheets for Year 3. These sheets cover telling the time for quarter past and quarter to times.

• read times to the nearest 5 minutes;
• convert analogue to digital times;
• adding and subtracting hours from different times.
• Clock Worksheets - Quarter Past and Quarter To
• Telling Time to 5 Minutes Worksheets
• Add and Subtract Time Worksheets

Year 3 Bar Graph Worksheets

These sheets involve reading and interpreting a range of bar graphs and picture graphs with a scale going up in ones or twos.

Draw missing bars on a bar graph to the correct height.

Use the information in a bar graph to add data into a table.

Using the link below will open the 2nd grade Math Salamanders website in a new browser window.

• Year 3 Bar Graphs (2nd Grade)

Fun Zone: Puzzles, Games and Riddles

Year 3 math games.

All children like to play Math games, and you will find a good range of 2nd Grade Math Games here for your child to play and enjoy.

The following games involve different Second Grade Math activities which you and your child can enjoy together.

• Year 3 Math Games (2nd Grade)
• Year 3 Maths Puzzles

The puzzles will help your child practice and apply their addition, subtraction and multiplication facts as well as developing their thinking and reasoning skills in a fun and engaging way.

The Number Square Puzzles page will open a new browser window which will take you to the 2nd grade math salamanders website.

Using these puzzles will help your child to:

• learn their addition facts to 20+20;
• learn and practice subtraction facts to 20;
• pratice multiplying up to 5x5;
• develop thinking and reasoning skills;
• develop perseverance.
• Number Square Puzzles
• Math Puzzles at 2nd Grade Math Salamanders

Math Salamanders Year 3 Maths Games Ebook

Our Year 3 Maths Games Ebook contains all of our fun maths games, complete with instructions and resources.

This ebooklet is available in our store, use the link below to find out more!

• Year 3 Maths Games Ebook

Help & Support

Looking for a resource which is not here.

Take a look at our 2nd Grade Math Salamanders website.

On this site you will find a wider selection of Year 3 maths worksheets and free math resources.

• 2nd Grade Math Salamanders

Other UK Maths Worksheet pages

See below for our other maths worksheets hub pages designed for children in the UK.

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The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

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Sort the units and identify which units should be used in context.

Note: volume refers to how much space an object takes up, and capacity refers to how much you can fit inside an object. These are often similar but they are nonetheless different measures.

3. Round shopping

When you are out shopping for a few items, why not ask your child to estimate the total cost of the items in your basket? They will need to use their rounding skills to do this. When the items have gone through the till, compare the actual cost to your child’s estimate.

If you are paying with a note, you could ask your child to work out how much change you will receive. This will give them experience using money and will also practise their subtraction skills.

4. Play ‘what do I have in my purse?’

This game can help your child practise adding up different amounts of money. Take a purse and put five different coins in it. Ask your child to find the total, and then swap in some different coins and try again. For example:

You have a 1p coin, two 5p coins, a 50p coin, and a £2 coin. What does it make added together? (£2.61)   What if the 5p coins were replaced with 20p coins? (£2.91)

Activity: Shopping problems

Practise money skills and calculations.

5. Make a timetable

Make a timetable with your child including the time they get up, the time school begins, and the time they go to bed. They could record these times in four different ways:

• in analogue clock form
• in digital clock form using the 12-hour clock (remember to use am or pm )
• in digital clock form using the 24-hour clock

Help your child understand how different units of time (seconds, minutes, hours, and so on) relate to each other. For example, they should know that there are 60 seconds in a minute, 24 hours in a day, and 12 months in a year.

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Free Measure Length Homework Extension Year 3 Length and Perimeter

Step 1: Free Measure Length Homework Extension Year 3 Spring Block 4

Free Measure Length Homework extension provides additional questions which can be used as homework or an in-class extension for the Year 3 Free Measure Length Resource Pack . These are differentiated for Developing, Expected and Greater Depth.

More resources for Spring Block 4 Step 1.

What's included in the pack?

This pack includes:

• Free Pictograms Homework Extension with answers for Year 3 Spring Block 4.

National Curriculum Objectives

Mathematics Year 3: (3M2a)  Measure lengths (m/cm/mm)

Differentiation:

Questions 1, 4 and 7 (Varied Fluency) Developing Draw lines to match the specified measurement. Measurements given in centimetres (cm) only. Expected Draw lines to match the specified measurement. Measurements given in mixed units of centimetres (cm) or millimetres (mm). Greater Depth Continue the lines to match the specified measurement. Measurements given in mixed units of centimetres (mm) and millimetres (mm).

Questions 2, 5 and 8 (Varied Fluency) Developing Measure 4 objects and find the statements that describe the images correctly. Statements provide measurements in millimetres (mm) only. Objects to be measured horizontally. Expected Measure 4 objects and find the statements that describe the images correctly. Measuring in some mixed units of centimetres (cm) and millimetres (mm). Objects to be measured horizontally. Greater Depth Measure 5 objects and find the statements that describe the images correctly. Measuring in mixed units of centimetres (cm) and millimetres (mm). Objects to be measured horizontally and vertically.

Questions 3, 6 and 9 ( Reasoning and Problem Solving ) Developing Decide and explain if an object has been measured correctly. Object measured from zero on a ruler with all increments marked. Expected Decide and explain if an object has been measured correctly. Object measured from a selected segment on a ruler with all increments marked. Greater Depth Decide and explain if an object has been measured correctly. Object measured from a selected segment of a ruler with some increments not shown.

This resource is available to download with a Taster subscription.

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3rd Grade Math Worksheets: Measurement

Grade 3 measurement worksheets.

Our grade 3 measurement worksheets are designed to help students understand measurements of length, weight, capacity and temperature . Conversion between customary and metric units is also reviewed.

Sample Grade 3 Measurement Worksheet

More measurement worksheets

Browse all of our measurement worksheets , from"bigger vs smaller" to  the measurement of length, weight, capacity and temperature in customary and metric units.

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• Home Learning
• White Rose Maths Worksheets

Week 11 Worksheets

• Lesson 1 - Measure mass (2).pdf
• Lesson 2 - Compare mass.pdf
• Lesson 3 - Add and subtract mass.pdf
• Lesson 4 - Measure capacity (2).pdf

Week 11 Answers

• Lesson 1 Answers - Measure mass (2).pdf
• Lesson 2 Answers - Compare mass.pdf
• Lesson 3 Answers - Add and subtract mass.pdf
• Lesson 4 Answers - Measure capacity (2).pdf

Week 10 Worksheets

• Lesson 1 - Draw accurately.pdf
• Lesson 2 - Recognise and describe 2D shapes.pdf
• Lesson 3 - Recognise and describe 3D shapes.pdf
• Lesson 4 - Telling the time to 5 minutes.pdf

Week 10 Answers

• Lesson 1 Answers - Draw accurately.pdf
• Lesson 2 Answers - Recognise and describe 2D shapes.pdf
• Lesson 3 Answers - Recognise and describe 3D shapes.pdf
• Lesson 4 Answers - Telling the time to 5 minutes.pdf

Week 9 Worksheets

• Lesson 1 - Right angles in shapes.pdf
• Lesson 2 - Compare angles.pdf
• Lesson 3 - Horizontal and vertical.pdf
• Lesson 4 - Parallel and perpendicular.pdf

Week 9 Answers

• Lesson 1 Answers - Right angles in shapes.pdf
• Lesson 2 Answers - Compare angles.pdf
• Lesson 3 Answers - Horizontal and vertical.pdf
• Lesson 4 Answers - Parallel and perpendicular.pdf

Week 8 Worksheets

• Lesson 1 - Order fractions 2020.pdf
• Lesson 2 - Add fractions 2020.pdf
• Lesson 3 - Subtract fractions 2020.pdf
• Lesson 4 - Problem solving with addition and subtraction of fractions.pdf

Week 8 Answers

• Lesson 1 Answers - Order fractions 2020.pdf
• Lesson 2 Answers - Add fractions 2020.pdf
• Lesson 3 Answers - Subtract fractions 2020.pdf
• Lesson 4 Answers - Problem solving with addition and subtraction of fractions.pdf

Week 8 Alternatives

• Y3 Week 8 Alternative Plan.pdf
• Lesson 1 - Add lengths 2019.pdf
• Lesson 2 - Subtract lengths 2019.pdf
• Lesson 3 - Measure perimeter 2019.pdf
• Lesson 4 - Calculate perimeter 2019.pdf
• Lesson 1 Answers - Add lengths 2019.pdf
• Lesson 2 Answers - Subtract lengths 2019.pdf
• Lesson 3 Answers - Measure perimeter 2019.pdf
• Lesson 4 Answers - Calculate perimeter 2019.pdf

Week 7 Worksheets

• Lesson 1 - Equivalent fractions (1) 2020.pdf
• Lesson 2 - Equivalent fractions (2) 2020.pdf
• Lesson 3 - Equivalent fractions (3) 2020.pdf
• Lesson 4 - Compare fractions 2020.pdf

Week 7 Answers

• Lesson 1 Answers - Equivalent fractions (1) 2020.pdf
• Lesson 2 Answers - Equivalent fractions (2) 2020.pdf
• Lesson 3 Answers - Equivalent fractions (3) 2020.pdf
• Lesson 4 Answers - Compare fractions 2020.pdf

Week 7 Alternatives

• Y3 Week 7 Alternative Plan.pdf
• Lesson 1 - Measure length 2019.pdf
• Lesson 2 - Equivalent lengths - m and cm 2019.pdf
• Lesson 3 - Equivalent lengths - mm and cm 2019.pdf
• Lesson 4 - Compare lengths 2019.pdf
• Lesson 1 Answers - Measure length 2019.pdf
• Lesson 2 Answers - Equivalent lengths - m and cm 2019.pdf
• Lesson 3 Answers - Equivalent lengths - mm and cm 2019.pdf
• Lesson 4 Answers - Compare lengths 2019.pdf

Week 6 Worksheets

• Lesson 1 - Tenths as decimals 2019.pdf
• Lesson 2 - Fractions on a number line 2019.pdf
• Lesson 3 - Fractions of a set of objects (1) 2019.pdf
• Lesson 4 - Fractions of a set of objects (2) 2019.pdf

Week 6 Answers

• Lesson 1 Answers - Tenths as decimals 2019.pdf
• Lesson 2 Answers - Fractions on a number line 2019.pdf
• Lesson 3 Answers - Fractions of a set of objects (1) 2019.pdf
• Lesson 4 Answers - Fractions of a set of objects (2) 2019.pdf

Week 6 Alternatives

• Year 3 Week 6 Alternative Plan.pdf
• Lesson 1 - Add two 3-digit numbers - crossing 10 or 100 2019.pdf
• Lesson 2 - Subtract 3-digit numbers from 3-digit numbers - no exchange 2019.pdf
• Lesson 3 - Subtract a 3-digit number from a 3-digit number - exchange 2019.pdf
• Lesson 4 - Estimate answers to calculations 2019.pdf
• Lesson 1 Answers - Add two 3-digit numbers - crossing 10 or 100 2019.pdf
• Lesson 2 Answers - Subtract 3-digit numbers from 3-digit numbers - no exchange 2019.pdf
• Lesson 3 Answers - Subtract a 3-digit number from a 3-digit number - exchange 2019.pdf
• Lesson 4 Answers - Estimate answers to calculations 2019.pdf

Week 5 Worksheets

• Lesson 1 - Unit and non-unit fractions 2019.pdf
• Lesson 2 - Making the whole 2019.pdf
• Lesson 3 - Tenths 2019.pdf
• Lesson 4 - Count in tenths 2019.pdf

Week 5 Answers

• Lesson 1 Answers - Unit and non-unit fractions 2019.pdf
• Lesson 2 Answers - Making the whole 2019.pdf
• Lesson 3 Answers - Tenths 2019.pdf
• Lesson 4 Answers - Count in tenths 2019.pdf

Week 5 Alternatives

• Year 3 Week 5 Alternative Plan.pdf
• Lesson 1 - Add and subtract 2-digit and 3-digit numbers - not crossing 10 or 100 2019.pdf
• Lesson 2 - Add 2-digit and 3-digit numbers - crossing 10 or 100 2019.pdf
• Lesson 3 - Subtract 2-digit numbers from 3-digit numbers - crossing 10 or 100 2019.pdf
• Lesson 4 - Add two 3-digit numbers - not crossing 10 or 100 2019.pdf
• Lesson 1 Answers - Add and subtract 2-digit and 3-digit numbers - not crossing 10 or 100 2019.pdf
• Lesson 2 Answers - Add 2-digit and 3-digit numbers - crossing 10 or 100 2019.pdf
• Lesson 3 Answers - Subtract 2-digit numbers from 3-digit numbers - crossing 10 or 100 2019.pdf
• Lesson 4 Answers - Add two 3-digit numbers - not crossing 10 or 100 2019.pdf

Week 4 Worksheets

• Y3 Lesson 1 The 4 and 8 times-tables 2019.pdf
• Y3 Lesson 2 Multiply 2-digits by 1-digit (2) 2019.pdf
• Y3 Lesson 3 Divide 2-digits by 1-digit (2) 2019.pdf
• Y3 Lesson 4 Scaling 2019.pdf

Week 4 Answers

• Lesson 1 Answers The 4 and 8 times-tables 2019.pdf
• Lesson 2 Answers Multiply 2-digits by 1-digit (2) 2019.pdf
• Lesson 3 Answers Divide 2-digits by 1-digit (2) 2019.pdf
• Lesson 4 Answers Scaling 2019.pdf
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How to teach perimeter in year 3 (FREE worksheets)!

Hi everyone, today we are going to learn perimeter in Year 3.  So let’s get started.

What is perimeter

The perimeter is the distance around a 2D shape… You can imagine it as an ant crawling around the shape, so the area the ant will cover is the perimeter of that shape. The perimeter is normally measured in cm but can also be measured in mm and meters

you can calculate perimeter by adding the length of all the sides of the shape

Let’s calculate the perimeter of this shape. There are two ways to do it.

• Adding all the sides: 4+4+4+4=16
• Multiplying: instead of adding all the sides you can do it as 4×4=16 which is quite simple and quick.

3 steps to teach perimeter to kids

• First, show this video to your kids. Once it’s done ask kids what they think the perimeter is.

• To get a better picture if your kids have understood the idea give them these worksheets to work on. It will help them gain more confidence in this topic. So grab your rulers and start solving the problem

Download two more FREE sheets as well 

perimeter Worksheet 1

Perimeter rapid fire worksheet

• For more fun try using numinous. The flowing picture gives a great idea of how to use numicons.

Thanks to Elena Bezoari on facebook for sharing this idea.

I hope you enjoyed my blog. If you have any question or queries please feel free to comment below. Thanks

Related:  Year 3 Targets Bundle – Reading, Writing, Maths, Science

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Unconventional Sex Let Anglerfish Conquer the Deep Ocean

During a chaotic period some 50 million years ago, the strange deep-sea creatures left the ocean bottom and thrived by clamping onto their mates.

A female anglerfish, with a bioluminescent lure, in waters off Hawaii. Credit... Doug Perrine/Alamy

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By William J. Broad

• May 30, 2024

How did the ghoulish creatures known as anglerfish pull off the evolutionary feat that let them essentially take over the ocean’s sunless depths?

It took peculiar sex — extremely peculiar sex.

Scientists at Yale University have discovered that a burst of anglerfish diversification began some 50 million years ago as the ancestral line developed a bizarre strategy to ensure successful reproduction in the dark wilderness.

To mate, tiny males would clamp with sharp teeth onto the bellies of much larger females. Some males would let go after mating while others would permanently fuse into the females. The males that stayed attached became permanent organs for sperm production.

“We found that a cascade of traits, including those required for sexual parasitism, allowed anglerfishes to invade the deep sea,” Chase D. Brownstein , a graduate student in the ecology and evolutionary biology department at Yale who was the study’s lead author, said in a news release.

Today, there are more than 300 species of anglerfish, which makes them the most varied family of vertebrates in the ocean’s lightless zone. The region starts about 1,000 feet down — just beneath the photic zone, which gets enough sunlight to support photosynthesis and most of the sea’s plants — and descends for miles. The team’s study was published last week in the journal Current Biology.

Finding a mate in the deep sea can be extremely difficult because of the environment’s incomprehensibly vast size. By some estimates, the dark zone amounts to more than 97 percent of the planetary space inhabited by living things, mainly because the ocean plunges to a maximum depth of nearly seven miles. In contrast, land habitats make up less than 1 percent of the planet’s biosphere because the band of life is so narrow, making its volume quite small.

The anglerfish’s bizarre mating routine is seen as counteracting the otherwise slim chances of finding a mate in the world’s largest ecosystem. It is the only known vertebrate that employs sexual parasitism, and that gave it an evolutionary edge.

Over time, the male can physically fuse with the female, connecting to her skin and bloodstream. Eventually, he loses his eyes and all internal organs except for his testes. A female can carry several males on her body.

The Yale team documented how immune systems that attack foreign threats changed over time so the female hosts would not reject the parasitic males.

Anglerfish get their name from how females use rodlike appendages with glowing tips to lure prey into their needlelike teeth. They’re fish that fish . Their mouths are so large and their bodies so flexible that they can swallow prey up to twice their size.

The Yale team used fossils and genetic data from more than 100 living anglerfish species to determine that the burst of diversification came during a major global heat spike between 50 million and 35 million years ago. The world’s oceans were thrown into turmoil, and the bottom-walking ancestors of the anglerfish began to explore the wider oceanic world.

“It happened in the blink of an evolutionary eye about 50 million years ago,” Mr. Brownstein said in an interview. “It was like whales going back into the ocean. It was amazing.”

The team found that, simultaneously, the fish developed their unusual reproductive skills. It was unable to determine which came first — temporary or permanent attachment.

Some female anglerfish can grow quite large, reaching more than three feet in length, but most are smaller. The free-swimming males typically are a few inches long.

How do they find the females in the perpetual darkness of the deep sea?

Mr. Brownstein said the males have enlarged nasal organs that are thought to let them follow faint trails of female pheromones through the darkness in order to find their partner.

“You sniff out your mate, literally,” he said.

William J. Broad has reported on science at The Times since 1983. He is based in New York. More about William J. Broad

Explore the Animal Kingdom

A selection of quirky, intriguing and surprising discoveries about animal life..

How did the ghoulish creatures known as anglerfish pull off the evolutionary feat that let them essentially take over the ocean’s sunless depths? It took extremely peculiar sex .

The Lord Howe Island stick insect vanished from its home, but an effort at zoos in San Diego and Melbourne highlights the possibilities and challenges  of conserving invertebrate animals.

A genetic analysis of the German cockroach explained its rise in southern Asia millenniums ago, and how it eventually turned up in your kitchen .

Scientists say they have found an “alphabet” in the songs of sperm whales , raising the possibility that the animals are communicating in a complex language.

Indigenous rangers in Australia’s Western Desert got a rare close-up with the northern marsupial mole , which is tiny, light-colored and blind, and almost never comes to the surface.

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National Weather Service confirms four tornadoes following strong storms this week

(Editor's note: This story has been updated as of 8 a.m. Friday, June 7 to reflect the latest tornado confirmations)

The National Weather Service has confirmed four tornadoes touched down in Ohio following severe weather from Wednesday into Thursday .

Here's the latest.

National Weather Service confirms EF2 tornado in Frazeysburg, Muskingum County

The NWS Pittsburgh office, which covers a portion of Eastern Ohio, confirmed an EF2 tornado with maximum wind speeds of 130 mph touched down in Frazeysburg, about an hour east of Columbus.

Survey crews continue to investigate potential tornado damage in far Coshocton County, to Muskingum's north, according to the NWS.

Additional details, such as the length and width of the path, are expected later today.

The Columbus Dispatch reports that the storm that spawned the tornadoes in Frazeysburg struck at about 1 a.m. Thursday. On Facebook,  Frazeysburg police said  the storms struck after the expiration of a NWS tornado warning and caused some injuries, but none were considered serious.

Brief, weak tornado confirmed in Delaware County

According to the NWS Wilmington office, which covers Central and Southwest Ohio, a "brief and weak" tornado touched down in extreme northeast Delaware County.

The twister was rated EF0, with a maximum wind speed of 65 mph. It was on the ground for a quarter-mile with a maximum path width of 50 yards.

Video taken near the intersection of Olive Green and Fredricks roads shows a brief tornado developing and then dissipating quickly as it moves through a wooded area along Porter Central Road, according to the NWS. The Delaware County Emergency Management Agency reported minor tree damage in the area, supporting the maximum wind speed rating.

The Wilmington office said the Delaware EMA offered "considerable assistance" in confirming this tornado.

NWS confirms EF0 tornado in Knox County

On X , formerly Twitter, the NWS Cleveland office confirmed an EF0 tornado hit the community of Brandon in Knox County. The twister had a peak wind speed of 85 mph, and the path of damage was more than 3 miles long and 80 yards wide, at its maximum.

According to the NWS report , the tornado touched down at 8:44 p.m. June 5 and was on the ground for 12 minutes. It caused sporadic tree damage and tore the siding and shingles off some homes. The tornado also partially tore the roof off a garage, and threw it into the woods about 100 yards away.

Brief tornado confirmed in Licking County

The NWS, with "considerable assistance" from the Licking County Emergency Management Agency, has confirmed a brief tornado southwest of Hanover, according to the Wilmington office . From the damage along Leslie and Claylick roads, the NWS has ruled it an EF0 tornado, with peak wind speeds of 80 mph.

A number of trees were uprooted or snapped, and a few buildings sustained minor roof damage.

A full report was expected to be issued Friday, according to the NWS.

Ohio ties state record for tornadoes

These four confirmations bring Ohio's tornado total for the year to 62, tying the state record.

The previous worst year for tornadoes in Ohio was 1992, when 62 twisters touched down, according to Brandon Peloquin, warning coordination meteorologist for NWS Wilmington office.

The strongest that year was an  EF4 tornado  that hit Van Wert County in Western Ohio on Feb. 18. With wind speeds of 166 to 200 mph, the tornado was on the ground for 2.8 miles and caused six injuries but no fatalities. It destroyed a house, a mobile home and two cars, and damaged nine homes,  according to Tornado Talk .

How are tornadoes confirmed?

After suspected tornadoes are spotted, crews from the National Weather Service survey possible tornado damage in person.

The pattern of damage, not how much damage was caused, determines whether it was a tornado,  according to the weather service . For tornadoes, with their  violently rotating columns of air , damage often has a chaotic appearance, with larger uprooted trees often crossing each other. Weather service surveyors often look at larger uproots of trees to get a true idea of where the wind was blowing from.

How are tornadoes rated?

The  Enhanced Fujita Scale  classifies tornadoes into the following categories:

• EF0:  Weak, with wind speeds of 65 to 85 mph
• EF1:  Weak, 86 to 110 mph
• EF2:  Strong, 111 to 135 mph
• EF3:  Strong, 136 to 165 mph
• EF4:  Violent, 166 to 200 mph
• EF5:  Violent, greater than 200 mph

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Measurement homework

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

20 November 2014

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Thank you very much. I have just adapted it a little to add an estimation column and measuring the length of their hand. Great to do at home for maths in lockdown and easier than teaching in school with a whole class.

Empty reply does not make any sense for the end user

chrisconnor

This is great fun - thanks :-)

Just what I needed to see to get some ideas for a homework activity like this. Awesome, thanks.

bethreynolds_uk

Saved me loads of time, thanks :)

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