A game for 2 people. Take turns placing a counter on the star. You win when you have completed a line of 3 in your colour.

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?

The idea of this game is to add or subtract the two numbers on the dice and cover the result on the grid, trying to get a line of three. Are there some numbers that are good to aim for?

There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?

First Connect Three game for an adult and child. Use the dice numbers and either addition or subtraction to get three numbers in a straight line.

Can you find out in which order the children are standing in this line?

Imagine that the puzzle pieces of a jigsaw are roughly a rectangular shape and all the same size. How many different puzzle pieces could there be?

Moira is late for school. What is the shortest route she can take from the school gates to the entrance?

In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?

This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?

El Crico the cricket has to cross a square patio to get home. He can jump the length of one tile, two tiles and three tiles. Can you find a path that would get El Crico home in three jumps?

These activities lend themselves to systematic working in the sense that it helps to have an ordered approach.

Use the information to describe these marbles. What colours must be on marbles that sparkle when rolling but are dark inside?

In this problem it is not the squares that jump, you do the jumping! The idea is to go round the track in as few jumps as possible.

How many different shapes can you make by putting four right- angled isosceles triangles together?

Arrange 9 red cubes, 9 blue cubes and 9 yellow cubes into a large 3 by 3 cube. No row or column of cubes must contain two cubes of the same colour.

Lorenzie was packing his bag for a school trip. He packed four shirts and three pairs of pants. "I will be able to have a different outfit each day", he said. How many days will Lorenzie be away?

Use the clues to find out who's who in the family, to fill in the family tree and to find out which of the family members are mathematicians and which are not.

How many solutions can you find to this sum? Each of the different letters stands for a different number.

Move from the START to the FINISH by moving across or down to the next square. Can you find a route to make these totals?

Can you make a train the same length as Laura's but using three differently coloured rods? Is there only one way of doing it?

Find out what a "fault-free" rectangle is and try to make some of your own.

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

Ben and his mum are planting garlic. Use the interactivity to help you find out how many cloves of garlic they might have had.

The Red Express Train usually has five red carriages. How many ways can you find to add two blue carriages?

My briefcase has a three-number combination lock, but I have forgotten the combination. I remember that there's a 3, a 5 and an 8. How many possible combinations are there to try?

Chandra, Jane, Terry and Harry ordered their lunches from the sandwich shop. Use the information below to find out who ordered each sandwich.

My coat has three buttons. How many ways can you find to do up all the buttons?

Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.

What two-digit numbers can you make with these two dice? What can't you make?

These are the faces of Will, Lil, Bill, Phil and Jill. Use the clues to work out which name goes with each face.

Try this matching game which will help you recognise different ways of saying the same time interval.

Place the numbers 1 to 8 in the circles so that no consecutive numbers are joined by a line.

This challenge is about finding the difference between numbers which have the same tens digit.

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?

Place the 16 different combinations of cup/saucer in this 4 by 4 arrangement so that no row or column contains more than one cup or saucer of the same colour.

Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?

These activities focus on finding all possible solutions so if you work in a systematic way, you won't leave any out.

In how many ways could Mrs Beeswax put ten coins into her three puddings so that each pudding ended up with at least two coins?

Take three differently coloured blocks - maybe red, yellow and blue. Make a tower using one of each colour. How many different towers can you make?

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

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.

These activities lend themselves to systematic working in the sense that it helps if you have an ordered approach.

The brown frog and green frog want to swap places without getting wet. They can hop onto a lily pad next to them, or hop over each other. How could they do it?

These activities focus on finding all possible solutions so working in a systematic way will ensure none are left out.

A magician took a suit of thirteen cards and held them in his hand face down. Every card he revealed had the same value as the one he had just finished spelling. How did this work?

I was in my car when I noticed a line of four cars on the lane next to me with number plates starting and ending with J, K, L and M. What order were they in?

Using the cards 2, 4, 6, 8, +, - and =, what number statements can you make?