List

Adding and taking away

Number Lines
problem

Number lines

Age
5 to 7
Challenge level
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Leah and Tom each have a number line. Can you work out where their counters will land?

Tug of War
problem

Tug of war

Age
5 to 7
Challenge level
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Can you use the numbers on the dice to reach your end of the number line before your partner beats you?

Shut the box
problem

Shut the box

Age
5 to 7
Challenge level
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An old game with lots of arithmetic!

Strike it out
problem

Strike it out

Age
5 to 11
Challenge level
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Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

Sort them out (1)
problem

Sort them out (1)

Age
5 to 7
Challenge level
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Can you each work out the number on your card? What do you notice? How could you sort the cards?

problem

Pairs of numbers

Age
5 to 7
Challenge level
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If you have ten counters numbered 1 to 10, how many can you put into pairs that add to 10? Which ones do you have to leave out? Why?

The add and take-away path
problem

The add and take-away path

Age
5 to 7
Challenge level
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Two children made up a game as they walked along the garden paths. Can you find out their scores? Can you find some paths of your own?

What was in the Box?
problem

What was in the box?

Age
5 to 7
Challenge level
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This box does something to the numbers that go into it. If you know the numbers that come out, what might be going on inside the box?

problem

Two numbers under the microscope

Age
5 to 7
Challenge level
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This investigates one particular property of number by looking closely at an example of adding two odd numbers together.

Doing and undoing
problem

Doing and undoing

Age
5 to 11
Challenge level
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An investigation looking at doing and undoing mathematical operations focusing on doubling, halving, adding and subtracting.

How do you see it?
problem

How do you see it?

Age
5 to 11
Challenge level
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Here are some short problems for you to try. Talk to your friends about how you work them out.

Shut the Box for Two
game

Shut the box for two

Age
5 to 7
Challenge level
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Shut the Box game for an adult and child. Can you turn over the cards which match the numbers on the dice?
Five Steps to 50
problem

Five steps to 50

Age
5 to 7
Challenge level
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Use five steps to count forwards or backwards in 1s or 10s to get to 50. What strategies did you use?

Strike it out
game

Strike it out for two

Age
5 to 11
Challenge level
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Strike it Out game for an adult and child. Can you stop your partner from being able to go?

project

How many?

This project challenges you to work out the number of cubes hidden under a cloth. What questions would you like to ask?

Cuisenaire environment
interactivity

Cuisenaire environment

Age
5 to 16
Challenge level
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An environment which simulates working with Cuisenaire rods.
I'm Eight
problem

I'm eight

Age
5 to 11
Challenge level
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Find a great variety of ways of asking questions which make 8.

problem

Two dice

Age
5 to 7
Challenge level
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Find all the numbers that can be made by adding the dots on two dice.

One Big Triangle
problem

One big triangle

Age
5 to 7
Challenge level
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Make one big triangle so the numbers that touch on the small triangles add to 10.

Two flowers with the numbers 15 and 16 on them
problem

Butterfly flowers

Age
5 to 7
Challenge level
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Can you find two butterflies to go on each flower so that the numbers on each pair of butterflies adds to the number on their flower?

Totality
problem

Totality

Age
5 to 11
Challenge level
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This is an adding game for two players. Can you be the first to reach the target?
Cuisenaire Counting
problem

Cuisenaire counting

Age
5 to 7
Challenge level
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Here are some rods that are different colours. How could I make a yellow rod using white and red rods?

Number Balance
problem

Number balance

Age
5 to 7
Challenge level
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Can you hang weights in the right place to make the the number balance balanced?

Domino Sorting
problem

Domino sorting

Age
5 to 7
Challenge level
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Try grouping the dominoes in the ways described. Are there any left over each time? Can you explain why?

Secret Number
problem

Secret number

Age
5 to 7
Challenge level
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Annie and Ben are playing a game with a calculator. What was Annie's secret number?

Find the Difference
problem

Find the difference

Age
5 to 7
Challenge level
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Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.

problem

Noah

Age
5 to 7
Challenge level
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Noah saw 12 legs walk by into the Ark. How many creatures did he see?

Heads and Feet
problem

Heads and feet

Age
5 to 7
Challenge level
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On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?

problem

Ladybirds in the garden

Age
5 to 7
Challenge level
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In Sam and Jill's garden there are two sorts of ladybirds with 7 spots or 4 spots. What numbers of total spots can you make?

Eggs in Baskets
problem

Eggs in baskets

Age
5 to 7
Challenge level
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There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. How many eggs are in each basket?

2, 4, 6, 8
problem

2, 4, 6, 8

Age
5 to 7
Challenge level
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Using the cards 2, 4, 6, 8, +, - and =, what number statements can you make?

4 Dom
problem

4 dom

Age
5 to 11
Challenge level
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Use these four dominoes to make a square that has the same number of dots on each side.

Number Round Up
problem

Number round up

Age
5 to 7
Challenge level
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Arrange the numbers 1 to 6 in each set of circles below. The sum of each side of the triangle should equal the number in its centre.

The Tall Tower
problem

The tall tower

Age
5 to 7
Challenge level
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As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?