Cambridge Primary Maths Mapping Stage 6

For more resources see the primary curriculum mapping documents.

Number Stage 6

Odd Times Even

Age 5 to 7
Challenge Level

This problem looks at how one example of your choice can show something about the general structure of multiplication.

Blackcurrantiest

Age 5 to 7
Challenge Level

Can you decide whose drink has the strongest blackcurrant flavour from these pictures?

Multiply Multiples 3

Age 7 to 11
Challenge Level

Have a go at balancing this equation. Can you find different ways of doing it?

Bryony's Triangle

Age 7 to 11
Challenge Level

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?

First Connect Three

Age 7 to 11
Challenge Level

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?

Division Rules

Age 7 to 11
Challenge Level

This challenge encourages you to explore dividing a three-digit number by a single-digit number.

Fractional Wall

Age 7 to 11
Challenge Level

Using the picture of the fraction wall, can you find equivalent fractions?

Magic Vs

Age 7 to 11
Challenge Level

Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

Which Would You Rather?

Age 7 to 11
Challenge Level

Would you rather: Have 10% of £5 or 75% of 80p? Be given 60% of 2 pizzas or 26% of 5 pizzas?

Round the Four Dice

Age 7 to 11
Challenge Level

This activity involves rounding four-digit numbers to the nearest thousand.

Round the Dice Decimals 2

Age 7 to 11
Challenge Level

What happens when you round these numbers to the nearest whole number?

Flashing Lights

Age 7 to 11
Challenge Level

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?

Forgot the Numbers

Age 7 to 11
Challenge Level

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?

Two Primes Make One Square

Age 7 to 11
Challenge Level

Can you make square numbers by adding two prime numbers together?

Multiples Grid

Age 7 to 11
Challenge Level

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?

How Much?

Age 7 to 11
Challenge Level

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

Roll These Dice

Age 7 to 11
Challenge Level

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?

Light the Lights Again

Age 7 to 11
Challenge Level

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?

Round and Round the Circle

Age 7 to 11
Challenge Level

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.

Factor-multiple Chains

Age 7 to 11
Challenge Level

Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?

Orange Drink

Age 7 to 11
Challenge Level

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?

Route Product

Age 7 to 11
Challenge Level

Find the product of the numbers on the routes from A to B. Which route has the smallest product? Which the largest?

Curious Number

Age 7 to 11
Challenge Level

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?

History of Fractions

Age 7 to 14

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.

Nice or Nasty

Age 7 to 14
Challenge Level

There are nasty versions of this dice game but we'll start with the nice ones...

Matching Fractions, Decimals and Percentages

Age 7 to 14
Challenge Level

Can you match pairs of fractions, decimals and percentages, and beat your previous scores?

Factor Lines

Age 7 to 14
Challenge Level

Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

Chocolate

Age 7 to 14
Challenge Level

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?

Make 37

Age 7 to 14
Challenge Level

Four bags contain a large number of 1s, 3s, 5s and 7s. Pick any ten numbers from the bags above so that their total is 37.

Factors and Multiples Game

Age 7 to 16
Challenge Level

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

Dicey Operations

Age 11 to 14
Challenge Level

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

Measure Stage 6

Drawinglive

Age 5 to 11
Challenge Level

This activity encourages you to measure the length of lines accurately.

Finding Out!

Age 7 to 11
Challenge Level

Explore all aspects of measurement in this activity.

Brush Loads

Age 7 to 11
Challenge Level

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

Age 7 to 11
Challenge Level

What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.

Distance Matchlive

Age 7 to 11
Challenge Level

Can you match these pairs of distances, one in miles and one in kilometres?

Tom Learns to Cook

Age 7 to 11
Challenge Level

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.

Dicey Perimeter, Dicey Area

Age 7 to 11
Challenge Level

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?

Journeys

Age 7 to 11
Challenge Level

Investigate the different distances of these car journeys and find out how long they take.

Rope Mat

Age 7 to 11
Challenge Level

How many centimetres of rope will I need to make another mat just like the one I have here?

Wonky Watches

Age 7 to 11
Challenge Level

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

Age 7 to 11
Challenge Level

These clocks have only one hand, but can you work out what time they are showing from the information?

Fives on the Clock

Age 7 to 11
Challenge Level

On a digital clock showing 24-hour time, over a whole day, how many times does a 5 appear?

Fitted

Age 7 to 11
Challenge Level

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?

Geometry Stage 6

A Cartesian Puzzle

Age 7 to 11
Challenge Level

Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.

Times

Age 7 to 11
Challenge Level

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!

How Safe Are You?

Age 7 to 11
Challenge Level

How much do you have to turn these dials by in order to unlock the safes?

Three Triangleslive

Age 7 to 11
Challenge Level

Investigate the properties of triangles with this task.

Where Are They?

Age 7 to 11
Challenge Level

Use the isometric grid paper to find the different polygons.

Sponge Sections

Age 7 to 11
Challenge Level

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

Age 7 to 11
Challenge Level

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

Making Cuboids

Age 7 to 11
Challenge Level

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?

Quadrilaterals

Age 7 to 11
Challenge Level

How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?

Estimating Angles

Age 7 to 14
Challenge Level

How good are you at estimating angles?

Handling Data Stage 6

Real Statistics

Age 7 to 11
Challenge Level

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

Probably ...

Age 7 to 11
Challenge Level

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

Age 7 to 11
Challenge Level

Decide which charts and graphs represent the number of goals two football teams scored in fifteen matches.

It's a Tie

Age 7 to 11
Challenge Level

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?