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Problem
Primary curriculum
Secondary curriculum
### How Many?

Have a look at these photos of different fruit. How many do you see? How did you count?

Age 5 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Digit Addition

Try out this number trick. What happens with different starting numbers? What do you notice?

Age 5 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Carroll Diagrams

Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?

Age 5 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Always, Sometimes or Never?

Are these statements relating to odd and even numbers always true, sometimes true or never true?

Age 5 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Circles, Circles

Here are some arrangements of circles. How many circles would I need to make the next size up for each? Can you create your own arrangement and investigate the number of circles it needs?

Age 5 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### School Fair Necklaces

How many possible symmetrical necklaces can you find? How do you know you've found them all?

Age 5 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Doing and Undoing

An investigation looking at doing and undoing mathematical operations focusing on doubling, halving, adding and subtracting.

Age 5 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### That Number Square

Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?

Age 5 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### How Would We Count?

An activity centred around observations of dots and how we visualise number arrangement patterns.

Age 5 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Poly Plug Rectangles

The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?

Age 5 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Largest Even

How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?

Age 5 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Half Time

What could the half time scores have been in these Olympic hockey matches?

Age 5 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### What Is the Time?

Can you put these times on the clocks in order? You might like to arrange them in a circle.

Age 5 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Order, Order!

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

Age 5 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Sitting Round the Party Tables

Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.

Age 5 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Ip Dip

"Ip dip sky blue! Who's 'it'? It's you!" Where would you position yourself so that you are 'it' if there are two players? Three players ...?

Age 5 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Triple Cubes

This challenge involves eight three-cube models made from interlocking cubes. Investigate different ways of putting the models together then compare your constructions.

Age 5 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Strike it Out

Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

Age 5 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Growing Garlic

Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?

Age 5 to 11

Challenge Level

Interactive
Primary curriculum
Secondary curriculum
### Cuisenaire Environment

An environment which simulates working with Cuisenaire rods.

Age 5 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Hundred Square

A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?

Age 5 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Break it Up!

In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?

Age 5 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### The Puzzling Sweet Shop

There were chews for 2p, mini eggs for 3p, Chocko bars for 5p and lollypops for 7p in the sweet shop. What could each of the children buy with their money?

Age 5 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Five Coins

Ben has five coins in his pocket. How much money might he have?

Age 5 to 11

Challenge Level