Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
Using the statements, can you work out how many of each type of rabbit there are in these pens?
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!
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?
Can you arrange 5 different digits (from 0 - 9) in the cross in the way described?
This problem is based on the story of the Pied Piper of Hamelin. Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!
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.
Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.
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.
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?
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?
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?
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?
A group of children are using measuring cylinders but they lose the labels. Can you help relabel them?
What do you notice about the date 03.06.09? Or 08.01.09? This challenge invites you to investigate some interesting dates yourself.
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?
Cherri, Saxon, Mel and Paul are friends. They are all different ages. Can you find out the age of each friend using the information?
Here is a chance to play a version of the classic Countdown Game.
Four Go game for an adult and child. Will you be the first to have four numbers in a row on the number line?
Can you design a new shape for the twenty-eight squares and arrange the numbers in a logical way? What patterns do you notice?
How would you find out how many football cards Catrina has collected?
How will you work out which numbers have been used to create this multiplication square?
Shut the Box game for an adult and child. Can you turn over the cards which match the numbers on the dice?
On my calculator I divided one whole number by another whole number and got the answer 3.125. If the numbers are both under 50, what are they?
Work out Tom's number from the answers he gives his friend. He will only answer 'yes' or 'no'.
How many starfish could there be on the beach, and how many children, if I can see 28 arms?
Does this 'trick' for calculating multiples of 11 always work? Why or why not?
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?
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?
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?
Use this grid to shade the numbers in the way described. Which numbers do you have left? Do you know what they are called?
Your vessel, the Starship Diophantus, has become damaged in deep space. Can you use your knowledge of times tables and some lightning reflexes to survive?
An old game but lots of arithmetic!
What is the lowest number which always leaves a remainder of 1 when divided by each of the numbers from 2 to 10?
How would you count the number of fingers in these pictures?
Can you each work out the number on your card? What do you notice? How could you sort the cards?
Ben’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?
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.
Number problems at primary level that require careful consideration.
A game for 2 people. Use your skills of addition, subtraction, multiplication and division to blast the asteroids.
Watch this animation. What do you notice? What happens when you try more or fewer cubes in a bundle?
Find the product of the numbers on the routes from A to B. Which route has the smallest product? Which the largest?
In a Magic Square all the rows, columns and diagonals add to the 'Magic Constant'. How would you change the magic constant of this square?
In the multiplication calculation, some of the digits have been replaced by letters and others by asterisks. Can you reconstruct the original multiplication?
Use the information about Sally and her brother to find out how many children there are in the Brown family.
There are over sixty different ways of making 24 by adding, subtracting, multiplying and dividing all four numbers 4, 6, 6 and 8 (using each number only once). How many can you find?
56 406 is the product of two consecutive numbers. What are these two numbers?
Annie and Ben are playing a game with a calculator. What was Annie's secret number?
The clockmaker's wife cut up his birthday cake to look like a clock face. Can you work out who received each piece?
The triangles in these sets are similar - can you work out the lengths of the sides which have question marks?