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Year 6 | Circles Worksheets
In these Year 6 circles worksheets , your pupils delve into the intricate world of circles, unravelling their properties and honing their measuring skills. The journey begins with a carefully crafted diagram of a circle, prompting children to label its three fundamental components – radius, diameter, and circumference. Subsequently, learners channel their creativity to draw circles of specific dimensions, crafting one with a diameter measuring 4cm and another with a radius spanning 2.5cm. The culmination of the exploration beckons learners to articulate the patterns discerned from their drawn circles, fostering a deeper understanding of the intricate relationship between radius and diameter.
This worksheet serves as an invaluable introduction to the properties of circles, fostering a comprehensive grasp of fundamental concepts while nurturing precision in ruler and measuring skills among your pupils.
Our Year 6 geometry: properties of shapes worksheets are created to match the KS2 national curriculum. They can be combined with your ideas and primary teaching strategies for learning activities, homework, differentiation and lesson plans.
You might also like our Year 6 angle rules worksheets .
Explore the rest of our Year 6 maths worksheets .
Access this resource and thousands more for just £9.95 per year
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Year 2 | Writing 3-digit Numbers Worksheets
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Year 6 - Circumference of Circles (Worksheet)
Subject: Mathematics
Age range: 7-11
Resource type: Worksheet/Activity
Last updated
31 January 2014
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Very useful. Thank you.
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Great for stage 4 as well.
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Year 6 Circles Maths Challenge
This Year 6 Circles Maths Challenge checks your child’s ability to recognise and use the names of the parts of a circle in a problem solving context. Children will help Brian the builder determine the measurements for the fountains.
If you would like to access additional resources which link to this maths challenge, you can purchase a subscription for only £5.31 per month on our sister site, Classroom Secrets .
Teacher Specific Information
This Year 6 Circles Maths Challenge checks pupils’ ability to recognise and use the names of the parts of a circle in a problem solving context. Pupils will help Brian the builder determine the measurements for the fountains.
National Curriculum Objectives
Mathematics Year 6: (6G5) Illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius
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Resources tagged with: NC Yr 6
There are 50 NRICH Mathematical resources connected to NC Yr 6 , you may find related items under NC .
4 by 4 Mathdokus
Can you use the clues to complete these 4 by 4 Mathematical Sudokus?
Different Deductions
There are lots of different methods to find out what the shapes are worth - how many can you find?
Name That Triangle!
Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?
Number Lines in Disguise
Some of the numbers have fallen off Becky's number line. Can you figure out what they were?
Price Match
Can you find pairs of differently sized windows that cost the same?
Finding 3D Stacks
Can you find a way of counting the spheres in these arrangements?
Extending Fraction Bars
Can you compare these bars with each other and express their lengths as fractions of the black bar?
More Fraction Bars
What fraction of the black bar are the other bars? Have a go at this challenging task!
Always, Sometimes or Never? Shape
Are these statements always true, sometimes true or never true?
Always, Sometimes or Never? Number
Round the Three Dice
What happens when you round these three-digit numbers to the nearest 100?
Round the Four Dice
This activity involves rounding four-digit numbers to the nearest thousand.
Use the information on these cards to draw the shape that is being described.
Dicey Perimeter, Dicey Area
In this game for two players, you throw two dice and find the product. How many shapes can you draw on the grid which have that area or perimeter?
Domino Sets
How do you know if your set of dominoes is complete?
Making Spirals
Can you make a spiral for yourself? Explore some different ways to create your own spiral pattern and explore differences between different spirals.
Round a Hexagon
This problem shows that the external angles of an irregular hexagon add to a circle.
Have a look at this data from the RSPB 2011 Birdwatch. What can you say about the data?
So It's Times!
How will you decide which way of flipping over and/or turning the grid will give you the highest total?
After training hard, these two children have improved their results. Can you work out the length or height of their first jumps?
Button-up Some More
How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?
Counting Cogs
Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?
Doughnut Percents
A task involving the equivalence between fractions, percentages and decimals which depends on members of the group noticing the needs of others and responding.
Next Size Up
The challenge for you is to make a string of six (or more!) graded cubes.
I've made some cubes and some cubes with holes in. This challenge invites you to explore the difference in the number of small cubes I've used. Can you see any patterns?
What can you see? What do you notice? What questions can you ask?
Treasure Hunt
Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?
First Connect Three
Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?
This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row?
Factor-multiple Chains
Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?
Fraction Fascination
This problem challenges you to work out what fraction of the whole area of these pictures is taken up by various shapes.
Triangles All Around
Can you find all the different triangles on these peg boards, and find their angles?
Diagonal Sums
In this 100 square, look at the green square which contains the numbers 2, 3, 12 and 13. What is the sum of the numbers that are diagonally opposite each other? What do you notice?
Ten Hidden Squares
These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?
Orange Drink
A 750 ml bottle of concentrated orange squash is enough to make fifteen 250 ml glasses of diluted orange drink. How much water is needed to make 10 litres of this drink?
Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?
Sponge Sections
You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.
Factor Lines
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
Would You Rather?
Would you rather: Have 10% of £5 or 75% of 80p? Be given 60% of 2 pizzas or 26% of 5 pizzas?
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?
Mystery Matrix
Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.
The Moons of Vuvv
The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?
Where Are They?
Use the isometric grid paper to find the different polygons.
Rectangle Tangle
The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the shapes?
Pumpkin Pie Problem
Peter wanted to make two pies for a party. His mother had a recipe for him to use. However, she always made 80 pies at a time. Did Peter have enough ingredients to make two pumpkin pies?
Quadrilaterals
How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?
Two and Two
How many solutions can you find to this sum? Each of the different letters stands for a different number.
Making Cuboids
Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?
Round and Round the Circle
What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.
Doplication
We can arrange dots in a similar way to the 5 on a dice and they usually sit quite well into a rectangular shape. How many altogether in this 3 by 5? What happens for other sizes?
Circles: Reasoning and Problem Solving
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Year 6 Maths Worksheets UK Hub Page
Welcome to our Year 6 Maths Worksheets area.
Here you will find a wide range of free printable Year 6 Maths Worksheets for your child to enjoy.
Come and take a look at our rounding decimal pages, or maybe some of our adding and subtracting fractions worksheets. Perhaps you are looking for some worksheets about finding angles in a triangle, or need some ratio problem worksheets to help your child learn about ratio?
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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 6 Maths Learning
Here are some of the key learning objectives for the end of Year 6:
- know and use Place value up to 10 million
- Counting on and back in steps of powers of 10 from any number up to 10 million
- Round numbers to any given degree of accuracy.
- Count forwards and backwards through zero with positive and negative numbers.
- Read Roman numerals to 1000 and recognise years written in Roman numerals
- solve multi-step problems using addition and subtraction in a range of contexts
- identify multiples and factors including common factors
- multiply and divide up to 4-digit numbers by up to 2 digits
- Use their knowledge of the order of operations to carry out calculations involving the four operations.
- Identify common factors, common multiples and prime numbers.
- solve problems involving addition, subtraction, multiplication and division
- simplify fractions
- compare and order fractions including mixed numbers
- add and subtract fractions with different denominators including mixed numbers
- multiply simple fractions together and simplify the answer
- divide proper fractions by whole numbers
- recall and use equivalence between simple fractions, decimals and percentages.
- Multiply and divide whole numbers and decimals up to 3dp by 10, 100 or 1000
- read, write, order and compare numbers up to 3dp
- round decimals with up to 3dp to the nearest whole
- solve problems with numbers up to 3dp
- work out percentages of different amounts
- solve problems using percentages
- use simple formulae
- express missing number problems using algebra
- find pairs of numbers that satisfy equations with two variables
- solve problems involving simple ratios
- solve problems involving similar shapes where the scale factor is known
- use, read, write and convert between standard units of measure
- measure, compare and calculate using different measures
- know that shapes with the same area can have different perimeters
- find the area of parallelograms and right triangles
- find the volume of cubes and cuboids
- convert between miles and km
- name and understand the parts of circles - radius, diameter and circumference
- draw 2D shapes accurately using dimensions and angles
- compate and classify 2D shapes by a range of properties
- find missing angles in triangles, quadrilaterals and regular shapes
- use coordinates in all 4 quadrants
- draw and translate simple shapes in all 4 quadrants
- interpret and construct pie charts and line graphs
- calculate the mean as an average
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 6 is generally equivalent to 5th Grade in the US.
On this page you will find link to our range of math worksheets for Year 6.
Quicklinks to Year 6 ...
- Place Value Zone
- Mental Math Zone
Word Problems Zone
Fractions percents ratio zone.
- Percentages 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 6 number worksheets.
Here you will find a range of Free Printable Year 6 Number Worksheets.
Using these Year 6 maths worksheets will help your child to:
- use place value with numbers up to 10 million;
- use place value with up to 3 decimal places;
- understand how to use exponents (powers) of a number;
- understand and use parentheses (brackets);
- understand and use multiples and factors;
- extend their knowledge of prime and composite (non-prime) numbers up to 100;
- know and be able to use the PEMDAS (or PEDMAS) rule.
- Place Value Worksheets to 10 million
- Place Value to 3dp
- Ordering Decimals Worksheets
- PEMDAS Rule Support Page
- PEMDAS Problems Worksheets
- Balancing Math Equations
- Roman Numerals worksheets
Ordering Large Numbers and Decimals to 3dp
The sheets in this section involve ordering lists of decimals to 3 decimal places and also large numbers up to 100 million.
There are sheets with decimals up to 10, and also sheets with numbers from -10 to 10.
- Ordering Large Numbers up to 100 million
- Ordering Decimals to 3dp
Rounding Decimals
- Rounding to the nearest tenth
- Rounding Decimal Places Sheets to 2dp
- Rounding Decimals Worksheet Challenges
Year 6 Decimal Counting Worksheets
Using these sheets will support you child to:
- count on and back by multiples of 0.1;
- fill in the missing numbers in sequences;
- count on and back into negative numbers.
- Counting By Decimals
Year 6 Mental Maths Zone
Each worksheet 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 quiz!
- Year 6 Mental Maths Tests
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Year 6 Addition Worksheets
- add decimals including tenths and hundredths mentally;
- add a columns of multi-digit numbers, including decimals.
- Decimal Addition Fact Worksheets
- 5th Grade Addition Worksheets BIG Numbers
- Decimal Column Addition Worksheets
- Money Worksheets (randomly generated)
Year 6 Subtraction Worksheets
Using these sheets will help your child to:
- subtract decimals including tenths and hundredths mentally;
- subtract multi-digit numbers, including decimals using column subtraction.
- Subtracting Decimals Worksheets (mental)
- Subtraction Worksheets up to Billions (columns)
- Column Subtraction with Decimals
Year 6 Multiplication Worksheets
- extend their knowlege of multiplication to decimals;
- use their multiplication tables to answer related facts, including decimals;
- multiply a range of decimals with up to 2 decimal places (2dp) by a whole number;
- multiply different money amounts by a whole number.
- Multiplying Decimals by 10 and 100
- Multiplication Fact Sheet Decimals
- Decimal Multiplication Worksheets to 1dp
- Decimal Multiplication Worksheets to 2dp
- Free Multiplication Worksheets (randomly generated)
- Multiply and Divide by 10 100 (decimals)
- Multiplication & Division Worksheets (randomly generated)
- Multiplication Word Problems
Division Worksheets 5th Grade
Using these Year 6 maths worksheets will help your child learn to:
- divide any whole number up to 10000 by a two digit number;
- express any division with a remainder in the form of a mixed number (a number with a fraction part).
- Long Division Worksheets (whole numbers)
- Long Division of Decimal Numbers
- Decimal Division Facts
- Division Facts Worksheets (randomly generated)
Year 6 Maths Problems
- apply their addition, subtraction, multiplication and division skills;
- apply their knowledge of rounding and place value;
- solve a range of problems including "real life" problems and ratio problems.
These sheets involve solving one or two more challenging longer problems.
- Year 6 Math Problems (5th Grade)
These sheets involve solving many 'real-life' problems involving data.
- Year 6 Math Word Problems (5th Grade)
These sheets involve solving a range of ratio problems.
Year 6 Fraction Worksheets
Year 6 percentage worksheets, year 6 ratio worksheets.
- compare and order fractions;
- add and subtract fractions and mixed numbers;
- understand how to multiply fractions by a whole number;
- understand how to multiply two fractions together, including mixed fractions;
- understand the relationship between fractions and division;
- know how to divide fractions and mixed fractions;
- convert decimals to fractions.
- Comparing Fractions Worksheet page
- Adding Fractions Worksheets
- Adding Improper Fractions
- Subtracting Fractions Worksheets
- Adding Subtracting Fractions Worksheets
- Improper Fraction Worksheets
- Converting Decimals to Fractions Worksheets
- Fractions Decimals Percents Worksheets
- Multiplying Fractions Worksheets
- Dividing Fractions by Whole numbers
- Divide Whole numbers by Fractions
- Simplifying Fractions Worksheets
- Free Printable Fraction Riddles (harder)
Take a look at our percentage worksheets for finding the percentage of a number or money amount.
We have a range of percentage sheets from quite a basic level to much harder.
- Percentage of Numbers Worksheets
- Money Percentage Worksheets
- Percentage Word Problems
These Year 6 Ratio worksheets are a great way to introduce this concept.
We have a range of part to part ratio worksheets and slightly harder problem solving worksheets.
- Ratio Part to Part Worksheets
- Ratio and Proportion Worksheets
Year 6 Geometry Worksheets
- know how to find missing angles in a range of situations;
- learn the number of degrees in a right angle, straight line, around a point and in a triangle;
- know how to calculate the area of a triangle;
- know how to calculate the area of a range of quadrilaterals.
- learn the formulas to calculate the area of triangles and some quadrilaterals;
- write and plot coordinates in all 4 quadrants.
- (5th Grade) Geometry - Angles
- Area of Quadrilaterals
- 5th Grade Volume Worksheets
- Coordinate Worksheets (1st Quadrant)
- Coordinate Plane Worksheets (All 4 Quadrants)
- Parts of a Circle Worksheets
Measurement Zone, including Time & Money
Year 6 measurement worksheets.
Using these sheets will help your child understand how to:
- learn how to read a standard scale going up in different fractions: halves, quarters, eighths and sixteenths;
- learn how to read a metric scale going up in 0.1s, 5s, 10s, 25s, 50s & 100s;
- learn how to estimate a measurement of length, weight or liquid;
- convert temperatures in Celsius and Fahrenheit.
- (5th Grade) Measurement Worksheets
Time Puzzles - harder
Here you will find our selection of harder time puzzles.
- Time Word Problems Worksheets - Riddles (harder)
Using these sheets will help you to:
- find the mean of up to 5 numbers;
- find a missing data point when the mean is given.
- Mean Worksheets
Fun Zone: Puzzles, Games and Riddles
Year 6 maths games.
- Year 6 Math Games (5th Grade)
Year 6 Maths Puzzles
The puzzles will help your child practice and apply their addition, subtraction, multiplication and division facts as well as developing their thinking and reasoning skills in a fun and engaging way.
- Printable Math Puzzles
Math Salamanders Year 6 Maths Games Ebook
Our Year 6 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 6 Maths Games Ebook
Other UK Maths Worksheet pages
See below for our other maths worksheets hub pages designed for children in the UK.
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Questions 3, 6 and 9 (Problem Solving) Developing Find the radius and diameter of circular objects using given guidelines, where the radius is directly divisible by 2. Measurements given in whole mm, cm and m. Expected Find the radius and diameter of circular objects using given guidelines, where the radius or diameter is not always a whole number.
Questions 3, 6 and 9 (Problem Solving) Developing Find the radius and diameter of circular objects using given guidelines, where the radius is directly divisible by 2. Measurements given in whole mm, cm and m. Expected Find the radius and diameter of circular objects using given guidelines, where the radius or diameter is not always a whole number.
This fantastic year 6 maths mastery teaching pack gives children opportunities to learn about the parts of a circle and to then apply their understanding of the connection between radius and diameter to reasoning and problem-solving activities. Supporting the White Rose Maths small step 'Circles' from the year 6 summer block 'Statistics ...
This particular KS2 maths problem solving investigation focuses on Geometry, specifically circles. This resource challenges students to investigate the types of triangles that are made when the hypotenuse of that triangle is the same as the diameter of a circle. This maths problem solving investigation is a great activity to add to your KS2 Geometry lessons, ideal for making learning engaging ...
Maths- Circles- Year 6. During this lesson students will learn to identify and calculate the radius, diameter and circumference of a circle. They will then complete a number of reasoning and problem solving questions on circles. Worksheet provided with answers. Duration: 1 hour.
A resource pack to support teaching the 3 main parts of a circle: radius, diameter and circumference. And why not try this great Year 6 Diving into Mastery: Circles Teaching Pack?Learn more about the different parts of a circle with this 'What is a Diameter?' Teaching Wiki.
This Year 6 Circles lesson covers the prior learning of using scale factors, before moving onto the main skill of naming parts of a circle and recognising the relationship between radius and diameter. ... This Year 6 Circles Maths Challenge checks pupils' ability to recognise and use the names of the parts of a circle in a problem solving ...
In these Year 6 circles worksheets, your pupils delve into the intricate world of circles, unravelling their properties and honing their measuring skills. The journey begins with a carefully crafted diagram of a circle, prompting children to label its three fundamental components - radius, diameter, and circumference. Subsequently, learners ...
Supporting the White Rose Maths small step 'Circles' from the year 6 summer block 'Statistics', this pack contains worksheets with fluency, reasoning and problem-solving questions, together with a supporting presentation with questions of a similar style to support the whole class or small groups. In addition to supporting White Rose Maths ...
Reasoning and Problem Solving Circles Reasoning and Problem Solving Circles Developing 1a. Jeremy is not correct because the diameter is always double the length of the radius, so it would be 22cm. 2a. The radius is 14m because it is half of the diameter which is 28m. 3a. i) 50cm ii) 30cm Expected 4a. Amelia is not correct because the
Year 6 - Circumference of Circles (Worksheet) Worksheet about calculating circumference of circles using pi as 3.14, 22/7 or in terms of pi. Good to use as a controlled practice in the classroom or as homework. Report this resource to let us know if it violates our terms and conditions. Our customer service team will review your report and will ...
Circles is a lesson by Master the Curriculum supporting White Rose Maths, including a series of teaching slides, starter activities and worksheets with answers, focusing on problem solving, reasoning and fluency to help children work towards mastery
This PowerPoint provides a range of maths mastery activities based around the Year 6 objective "illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius". I used this resource today as part of our school 'Pi Day' and the children realised that on one of the slides Pi is ...
This particular KS2 maths problem solving investigation focuses on Geometry, specifically circles. This resource challenges students to investigate the types of triangles that are made when the hypotenuse of that triangle is the same as the diameter of a circle. This is a great activity to add to your Geometry lessons, ideal for making learning engaging and fun. And why not try this Year 6 ...
Included are a range of year 6 maths problem-solving activities. Maths mastery year 6 resources designed to aid an inclusive approach to teaching. Included are a range of year 6 maths problem-solving activities. ... * New * Year 6 Diving into Mastery: Step 9 Circles Teaching Pack. 4.7 (3 Reviews) * New * Y6 SATs Maths Revision Resource Collection
This Year 6 Circles Maths Challenge checks pupils' ability to recognise and use the names of the parts of a circle in a problem solving context. Pupils will help Brian the builder determine the measurements for the fountains.
Problem-solving Schools; About NRICH expand_more. About us; Impact stories; Support us; Our funders ... We have found 50 NRICH Mathematical resources connected to NC Yr 6, you may find related items under NC ... This problem shows that the external angles of an irregular hexagon add to a circle. Age 7 to 11. Challenge Level. Problem Primary ...
Find out how the order of operations shows you which bit of a calculation to do first. Year 6 KS2 Maths Problem solving learning resources for adults, children, parents and teachers.
Circles: Reasoning and Problem Solving, Maths, Year 6, Statistics, Graphs and charts, Sign Up to Download
PlanIt Maths Year 6 Properties of Shapes Lesson Pack 17: Radius and Diameter SATs Practice. Year 6 Diving into Mastery: Step 10 Draw Shapes Accurately Teaching Pack. ... KS2 Circles Maths Problem-Solving Investigations. Parts of a Circle | KS2 Maths Concept Video.
Year 6 Addition Worksheets. Using these Year 6 maths worksheets will help your child to: add decimals including tenths and hundredths mentally; add a columns of multi-digit numbers, including decimals. Decimal Addition Fact Worksheets. 5th Grade Addition Worksheets BIG Numbers. Decimal Column Addition Worksheets.
Title: Year 6 Circles Reasoning and Problem Solving.pdf Author: Emma Created Date: 6/30/2020 2:58:37 PM