A game for 2 people using a pack of cards Turn over 2 cards and try to make an odd number or a multiple of 3.

Here is a chance to play a version of the classic Countdown Game.

A game for 2 people. Use your skills of addition, subtraction, multiplication and division to blast the asteroids.

A game for 2 or more players with a pack of cards. Practise your skills of addition, subtraction, multiplication and division to hit the target score.

How will you work out which numbers have been used to create this multiplication square?

This article for teachers describes how modelling number properties involving multiplication using an array of objects not only allows children to represent their thinking with concrete materials,. . . .

Look at what happens when you take a number, square it and subtract your answer. What kind of number do you get? Can you prove it?

Start by putting one million (1 000 000) into the display of your calculator. Can you reduce this to 7 using just the 7 key and add, subtract, multiply, divide and equals as many times as you like?

The Scot, John Napier, invented these strips about 400 years ago to help calculate multiplication and division. Can you work out how to use Napier's bones to find the answer to these multiplications?

If you had any number of ordinary dice, what are the possible ways of making their totals 6? What would the product of the dice be each time?

Watch this animation. What do you notice? What happens when you try more or fewer cubes in a bundle?

Can you arrange 5 different digits (from 0 - 9) in the cross in the way described?

How many starfish could there be on the beach, and how many children, if I can see 28 arms?

Grandma found her pie balanced on the scale with two weights and a quarter of a pie. So how heavy was each pie?

All the girls would like a puzzle each for Christmas and all the boys would like a book each. Solve the riddle to find out how many puzzles and books Santa left.

Zumf makes spectacles for the residents of the planet Zargon, who have either 3 eyes or 4 eyes. How many lenses will Zumf need to make all the different orders for 9 families?

This problem is based on a code using two different prime numbers less than 10. You'll need to multiply them together and shift the alphabet forwards by the result. Can you decipher the code?

There is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from these ten statements?

Work out Tom's number from the answers he gives his friend. He will only answer 'yes' or 'no'.

Here is a picnic that Petros and Michael are going to share equally. Can you tell us what each of them will have?

Benâ€™s class were cutting up number tracks. First they cut them into twos and added up the numbers on each piece. What patterns could they see?

This magic square has operations written in it, to make it into a maze. Start wherever you like, go through every cell and go out a total of 15!

Twizzle, a female giraffe, needs transporting to another zoo. Which route will give the fastest journey?

Using the statements, can you work out how many of each type of rabbit there are in these pens?

Number problems at primary level that may require resilience.

Play this game and see if you can figure out the computer's chosen number.

After training hard, these two children have improved their results. Can you work out the length or height of their first jumps?

This problem looks at how one example of your choice can show something about the general structure of multiplication.

Does this 'trick' for calculating multiples of 11 always work? Why or why not?

This article for primary teachers encourages exploration of two fundamental ideas, exchange and 'unitising', which will help children become more fluent when calculating.

Four Go game for an adult and child. Will you be the first to have four numbers in a row on the number line?

Investigate the different ways that fifteen schools could have given money in a charity fundraiser.

Find the product of the numbers on the routes from A to B. Which route has the smallest product? Which the largest?

Use this grid to shade the numbers in the way described. Which numbers do you have left? Do you know what they are called?

The clockmaker's wife cut up his birthday cake to look like a clock face. Can you work out who received each piece?

Suppose we allow ourselves to use three numbers less than 10 and multiply them together. How many different products can you find? How do you know you've got them all?

Cherri, Saxon, Mel and Paul are friends. They are all different ages. Can you find out the age of each friend using the information?

56 406 is the product of two consecutive numbers. What are these two numbers?

Using the numbers 1, 2, 3, 4 and 5 once and only once, and the operations x and ÷ once and only once, what is the smallest whole number you can make?

Katie had a pack of 20 cards numbered from 1 to 20. She arranged the cards into 6 unequal piles where each pile added to the same total. What was the total and how could this be done?

There are 44 people coming to a dinner party. There are 15 square tables that seat 4 people. Find a way to seat the 44 people using all 15 tables, with no empty places.

In this game, you can add, subtract, multiply or divide the numbers on the dice. Which will you do so that you get to the end of the number line first?

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

Mr. Sunshine tells the children they will have 2 hours of homework. After several calculations, Harry says he hasn't got time to do this homework. Can you see where his reasoning is wrong?

I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?

Can you each work out the number on your card? What do you notice? How could you sort the cards?

In this article for teachers, Elizabeth Carruthers and Maulfry Worthington explore the differences between 'recording mathematics' and 'representing mathematical thinking'.