Try continuing these patterns made from triangles. Can you create your own repeating pattern?

Use these head, body and leg pieces to make Robot Monsters which are different heights.

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

Arrange the shapes in a line so that you change either colour or shape in the next piece along. Can you find several ways to start with a blue triangle and end with a red circle?

The Man is much smaller than us. Can you use the picture of him next to a mug to estimate his height and how much tea he drinks?

There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. Can you use the information given to find out how many eggs are in each basket?

Start with three pairs of socks. Now mix them up so that no mismatched pair is the same as another mismatched pair. Is there more than one way to do it?

This activity is based on data in the book 'If the World Were a Village'. How will you represent your chosen data for maximum effect?

This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?

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.?

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

Here are the six faces of a cube - in no particular order. Here are three views of the cube. Can you deduce where the faces are in relation to each other and record them on the net of this cube?

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.

These rectangles have been torn. How many squares did each one have inside it before it was ripped?

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

Use your logical reasoning to work out how many cows and how many sheep there are in each field.

In this game you throw two dice and find their total, then move the appropriate counter to the right. Which counter reaches the purple box first?

Look at three 'next door neighbours' amongst the counting numbers. Add them together. What do you notice?

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

Ten cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?

How could you arrange at least two dice in a stack so that the total of the visible spots is 18?

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?

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