If you put three beads onto a tens/ones abacus you could make the numbers 3, 30, 12 or 21. What numbers can be made with six beads?

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?

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

Can you find the chosen number from the grid using the clues?

Number problems at primary level that require careful consideration.

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

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

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?

Can you fill in the empty boxes in the grid with the right shape and colour?

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

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?

How could you put these three beads into bags? How many different ways can you do it? How could you record what you've done?

What happens when you add three numbers together? Will your answer be odd or even? How do you know?

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?

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

In this maze of hexagons, you start in the centre at 0. The next hexagon must be a multiple of 2 and the next a multiple of 5. What are the possible paths you could take?

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

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

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

My cube has inky marks on each face. Can you find the route it has taken? What does each face look like?

How many different triangles can you draw on the dotty grid which each have one dot in the middle?

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

Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?

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

You have 4 red and 5 blue counters. How many ways can they be placed on a 3 by 3 grid so that all the rows columns and diagonals have an even number of red counters?

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

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?

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

In the multiplication calculation, some of the digits have been replaced by letters and others by asterisks. Can you reconstruct the original multiplication?

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

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

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.

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?

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?

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?

The pages of my calendar have got mixed up. Can you sort them out?

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

What is the date in February 2002 where the 8 digits are palindromic if the date is written in the British way?

Place this "worm" on the 100 square and find the total of the four squares it covers. Keeping its head in the same place, what other totals can you make?

What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?

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

In this calculation, the box represents a missing digit. What could the digit be? What would the solution be in each case?

If you hang two weights on one side of this balance, in how many different ways can you hang three weights on the other side for it to be balanced?

This multiplication uses each of the digits 0 - 9 once and once only. Using the information given, can you replace the stars in the calculation with figures?

There are to be 6 homes built on a new development site. They could be semi-detached, detached or terraced houses. How many different combinations of these can you find?