Cambridge Primary Maths Mapping Stage 5

For more resources see the primary curriculum mapping documents.

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Alphabet Blocks

Age

5 to 11

Challenge level

These alphabet bricks are painted in a special way. A is on one brick, B on two bricks, and so on. How many bricks will be painted by the time they have got to other letters of the alphabet?

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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.

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Abundant Numbers

Age

7 to 11

Challenge level

48 is called an abundant number because it is less than the sum of its factors (without itself). Can you find some more abundant numbers?

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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?

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Trebling

Age

7 to 11

Challenge level

Can you replace the letters with numbers? Is there only one solution in each case?

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The Deca Tree

Age

7 to 11

Challenge level

Find out what a Deca Tree is and then work out how many leaves there will be after the woodcutter has cut off a trunk, a branch, a twig and a leaf.

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Tables Without Tens

Age

7 to 11

Challenge level

Investigate and explain the patterns that you see from recording just the units digits of numbers in the times tables.

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Shape Times Shape

Age

7 to 11

Challenge level

These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?

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Tug Harder!

Age

7 to 11

Challenge level

In this game, you can add, subtract, multiply or divide the numbers on the dice. Which will you do so that you get to the end of the number line first?

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Favourite

What Do you Need?

Age

7 to 11

Challenge level

Four of these clues are needed to find the chosen number on this grid and four are true but do nothing to help in finding the number. Can you sort out the clues and find the number?

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Favourite

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...

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Favourite

Which Would You Rather?

Age

7 to 11

Challenge level

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

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Multiply Multiples 1

Age

7 to 11

Challenge level

Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?

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Multiply Multiples 2

Age

7 to 11

Challenge level

Can you work out some different ways to balance this equation?

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Round the Dice Decimals 1

Age

7 to 11

Challenge level

Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?

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Greater Than or Less Than?

Age

7 to 11

Challenge level

Use the numbers and symbols to make this number sentence correct. How many different ways can you find?

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Favourite

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?

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Favourite

Pumpkin Pie Problem

Age

7 to 11

Challenge level

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?

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Twenty Divided into Six

Age

7 to 11

Challenge level

Katie had a pack of 20 cards numbered from 1 to 20. She arranged the cards into 6 unequal piles where each pile added to the same total. What was the total and how could this be done?

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Reach 100

Age

7 to 11

Challenge level

Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.

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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.

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Cycling Squares

Age

7 to 11

Challenge level

Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?

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Favourite

Andy's Marbles

Age

7 to 11

Challenge level

Andy had a big bag of marbles but unfortunately the bottom of it split and all the marbles spilled out. Use the information to find out how many there were in the bag originally.

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Favourite

Diagonal Sums

Age

7 to 14

Challenge level

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?

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Four Go

Age

7 to 11

Challenge level

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?

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Number the Sides

Age

7 to 11

Challenge level

The triangles in these sets are similar - can you work out the lengths of the sides which have question marks?

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Doughnut percents

Age

7 to 14

Challenge level

A task involving the equivalence between fractions, percentages and decimals which depends on members of the group noticing the needs of others and responding.

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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.

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Matching Triangles

Age

5 to 7

Challenge level

Can you sort these triangles into three different families and explain how you did it?

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National Flags

Age

7 to 11

Challenge level

This problem explores the shapes and symmetries in some national flags.

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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.

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Nine-Pin Triangles

Age

7 to 11

Challenge level

How many different triangles can you make on a circular pegboard that has nine pegs?

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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?

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Eight hidden squares

Age

7 to 14

Challenge level

On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?

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Egyptian Rope

Age

7 to 11

Challenge level

The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?

problem

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Cut Nets

Age

7 to 11

Challenge level

Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?

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Favourite

ReflectoR ! RotcelfeR

Age

7 to 11

Challenge level

Can you place the blocks so that you see the reflection in the picture?

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Olympic Turns

Age

7 to 11

Challenge level

This task looks at the different turns involved in different Olympic sports as a way of exploring the mathematics of turns and angles.

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Symmetry Challenge

Age

7 to 11

Challenge level

How many symmetric designs can you make on this grid? Can you find them all?

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Shaping It

Age

5 to 11

Challenge level

These pictures were made by starting with a square, finding the half-way point on each side and joining those points up. You could investigate your own starting shape.

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Order, Order!

Age

5 to 11

Challenge level

Can you place these quantities in order from smallest to largest?

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How Tall?

Age

5 to 11

Challenge level

A group of children are discussing the height of a tall tree. How would you go about finding out its height?

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At the pumps

Age

7 to 11

Challenge level

How will you find out how much a tank of petrol costs?

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Weighing fruit

Age

7 to 11

Challenge level

Can you use this information to estimate how much the different fruit selections weigh in kilos and pounds?

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Tiles in the Garden

Age

7 to 11

Challenge level

How many tiles do we need to tile these patios?

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Watermelons

Age

7 to 11

Challenge level

These watermelons have been entered into a competition. Use the information to work out the number of points each one was awarded.

problem

Favourite

Shape Draw

Age

7 to 11

Challenge level

Use the information on these cards to draw the shape that is being described.

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Cubes

Age

7 to 11

Challenge level

How many faces can you see when you arrange these three cubes in different ways?

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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!

problem

The Big Cheese

Age

7 to 11

Challenge level

Investigate the area of 'slices' cut off this cube of cheese. What would happen if you had different-sized block of cheese to start with?

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Favourite

How many Times?

Age

7 to 11

Challenge level

On a digital 24 hour clock, at certain times, all the digits are consecutive. How many times like this are there between midnight and 7 a.m.?

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Favourite

Oh! Harry!

Age

7 to 11

Challenge level

A group of children are using measuring cylinders but they lose the labels. Can you help relabel them?

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Favourite

The time is ...

Age

7 to 11

Challenge level

Can you put these mixed-up times in order? You could arrange them in a circle.

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Through the Window

Age

7 to 11

Challenge level

My local DIY shop calculates the price of its windows according to the area of glass and the length of frame used. Can you work out how they arrived at these prices?

problem

Wrapping Presents

Age

7 to 11

Challenge level

Choose a box and work out the smallest rectangle of paper needed to wrap it so that it is completely covered.

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Favourite

Numerically Equal

Age

7 to 11

Challenge level

Can you draw a square in which the perimeter is numerically equal to the area?

problem

Slow Coach

Age

7 to 11

Challenge level

How many of this company's coaches travelling in the opposite direction does the 10 am coach from Alphaton pass before reaching Betaville?

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Cashing Up

Age

5 to 11

Challenge level

What is the most common coin in this shopkeeper's till?

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Probable Words

Age

5 to 7

Challenge level

If you asked your mum/dad/friend to take you to the park today, what sort of response might you get?

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Favourite

In the Playground

Age

5 to 11

Challenge level

What can you say about the child who will be first on the playground tomorrow morning at breaktime in your school?

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Graphing Number Patterns

Age

7 to 11

Challenge level

Does a graph of the triangular numbers cross a graph of the six times table? If so, where? Will a graph of the square numbers cross the times table too?