List

Cambridge Primary Maths Mapping Stage 6

Make 37 Poster
problem
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Make 37

Age
5 to 11
Challenge level
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Four bags contain a large number of 1s, 3s, 5s and 7s. Can you pick any ten numbers from the bags so that their total is 37?

Blackcurrantiest
problem
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Blackcurrantiest

Age
5 to 7
Challenge level
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Can you decide whose drink has the strongest blackcurrant flavour from these pictures?
Odd times Even
problem
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Odd times Even

Age
5 to 7
Challenge level
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This problem looks at how one example of your choice can show something about the general structure of multiplication.
History of Fractions
article

History of Fractions

Who first used fractions? Were they always written in the same way? How did fractions reach us here? These are the sorts of questions which this article will answer for you.
Round the Four Dice
problem
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Round the Four Dice

Age
7 to 11
Challenge level
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This activity involves rounding four-digit numbers to the nearest thousand.
Round the Dice Decimals 2
problem
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Round the Dice Decimals 2

Age
7 to 11
Challenge level
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What happens when you round these numbers to the nearest whole number?

Multiply Multiples 3
problem
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Multiply Multiples 3

Age
7 to 11
Challenge level
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Have a go at balancing this equation. Can you find different ways of doing it?
Division Rules
problem
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Division Rules

Age
7 to 11
Challenge level
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This challenge encourages you to explore dividing a three-digit number by a single-digit number.
Factors and Multiples Game
game
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Factors and Multiples Game

A game in which players take it in turns to choose a number. Can you block your opponent?

Flashing Lights
problem
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Flashing Lights

Age
7 to 11
Challenge level
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Norrie sees two lights flash at the same time, then one of them flashes every 4th second, and the other flashes every 5th second. How many times do they flash together during a whole minute?
Fractional Wall
problem
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Fractional Wall

Age
7 to 11
Challenge level
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Using the picture of the fraction wall, can you find equivalent fractions?

First Connect Three
problem
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First Connect Three

Age
7 to 11
Challenge level
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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?
Magic Vs
problem
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Magic Vs

Age
7 to 11
Challenge level
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Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

Nice or Nasty
problem
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Nice or Nasty

Age
7 to 14
Challenge level
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There are nasty versions of this dice game but we'll start with the nice ones...
Bryony's Triangle
problem
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Bryony's Triangle

Age
7 to 11
Challenge level
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Watch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?

Which Would You Rather?
problem
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Which Would You Rather?

Age
7 to 11
Challenge level
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Would you rather: Have 10% of £5 or 75% of 80p? Be given 60% of 2 pizzas or 26% of 5 pizzas?
Chocolate
problem
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Chocolate

Age
7 to 14
Challenge level
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There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?

Roll these Dice
problem
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Roll these Dice

Age
7 to 11
Challenge level
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Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?

Round and round the circle
problem
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Round and round the circle

Age
7 to 11
Challenge level
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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.

Forgot the Numbers
problem
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Forgot the Numbers

Age
7 to 11
Challenge level
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On my calculator I divided one whole number by another whole number and got the answer 3.125. If the numbers are both under 50, what are they?

Factor Lines
problem
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Factor Lines

Age
7 to 14
Challenge level
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Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
Two Primes Make One Square
problem
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Two Primes Make One Square

Age
7 to 11
Challenge level
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Can you make square numbers by adding two prime numbers together?
Orange Drink
problem
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Orange Drink

Age
7 to 11
Challenge level
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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?

Multiples Grid
problem
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Multiples Grid

Age
7 to 11
Challenge level
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What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?

Factor-Multiple Chains
problem
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Factor-Multiple Chains

Age
7 to 11
Challenge level
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Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?
Route Product
problem
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Route Product

Age
7 to 11
Challenge level
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Find the product of the numbers on the routes from A to B. Which route has the smallest product? Which the largest?

Light the Lights Again
problem
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Light the Lights Again

Age
7 to 11
Challenge level
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Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you find the smallest number that lights up all four lights?

How Much?
problem

How Much?

Age
7 to 11
Challenge level
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Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.
Curious number
problem
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Curious number

Age
7 to 11
Challenge level
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Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?

Dicey Operations
game
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Dicey Operations

Who said that adding, subtracting, multiplying and dividing couldn't be fun?

Drawing
problem

Drawing

Age
5 to 11
Challenge level
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This activity encourages you to measure the length of lines accurately.
Dicey Perimeter, Dicey Area
game
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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?
Brush Loads
problem
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Brush Loads

Age
7 to 11
Challenge level
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How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.

Area and perimeter
problem
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Area and perimeter

Age
7 to 11
Challenge level
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What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.

Tom learns to cook
problem

Tom learns to cook

Age
7 to 11
Challenge level
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If Tom wants to learn to cook his favourite supper, he needs to make a schedule so that everything is ready at the same time.
Journeys
problem

Journeys

Age
7 to 11
Challenge level
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Investigate the different distances of these car journeys and find out how long they take.
Finding Out!
problem

Finding Out!

Age
7 to 11
Challenge level
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Explore all aspects of measurement in this activity.
Distance Match
problem

Distance Match

Age
7 to 11
Challenge level
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Can you match these pairs of distances, one in miles and one in kilometres?
Rope Mat
problem

Rope Mat

Age
7 to 11
Challenge level
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How many centimetres of rope will I need to make another mat just like the one I have here?
Wonky Watches
problem
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Wonky Watches

Age
7 to 11
Challenge level
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Stuart's watch loses two minutes every hour. Adam's watch gains one minute every hour. Use the information to work out what time (the real time) they arrived at the airport.

Two Clocks
problem
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Two Clocks

Age
7 to 11
Challenge level
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These clocks have only one hand, but can you work out what time they are showing from the information?

Fitted
problem
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Fitted

Age
7 to 11
Challenge level
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Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?

Fives on the clock
problem
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Fives on the clock

Age
7 to 11
Challenge level
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On a digital clock showing 24-hour time, over a whole day, how many times does a 5 appear?
Times
problem

Times

Age
7 to 11
Challenge level
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Which times on a digital clock have a line of symmetry? Which look the same upside-down? You might like to try this investigation and find out!
Where are they?
problem
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Where are they?

Age
7 to 11
Challenge level
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Use the isometric grid paper to find the different polygons.

A Cartesian Puzzle
problem
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A Cartesian Puzzle

Age
7 to 11
Challenge level
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Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.
How Safe Are You?
problem
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How Safe Are You?

Age
7 to 11
Challenge level
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How much do you have to turn these dials by in order to unlock the safes?
Three Triangles
problem

Three Triangles

Age
7 to 11
Challenge level
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What do you notice when you put three triangles together?
Making Cuboids
problem
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Making Cuboids

Age
7 to 11
Challenge level
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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?
Sponge Sections
problem
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Sponge Sections

Age
7 to 11
Challenge level
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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.

Stringy Quads
problem
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Stringy Quads

Age
7 to 11
Challenge level
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This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!

Quadrilaterals
problem
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Quadrilaterals

Age
7 to 11
Challenge level
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How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?

Real Statistics
problem
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Real Statistics

Age
7 to 11
Challenge level
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Have a look at this table of how children travel to school. How does it compare with children in your class?

Probably...
problem

Probably...

Age
7 to 11
Challenge level
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You'll need to work in a group for this problem. The idea is to decide, as a group, whether you agree or disagree with each statement.
Match the Matches
problem
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Match the Matches

Age
7 to 11
Challenge level
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Decide which charts and graphs represent the number of goals two football teams scored in fifteen matches.
It's a Tie
problem
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It's a Tie

Age
7 to 11
Challenge level
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Kaia is sure that her father has worn a particular tie twice a week in at least five of the last ten weeks, but her father disagrees. Who do you think is right?