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.
Annie and Ben are playing a game with a calculator. What was Annie's secret number?
Use the information about Sally and her brother to find out how many children there are in the Brown family.
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?
Use your logical reasoning to work out how many cows and how many sheep there are in each field.
Play this game and see if you can figure out the computer's chosen number.
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!
Find out what a Deca Tree is and then work out how many leaves there will be after the woodcutter has cut off a trunk, a branch, a twig and a leaf.
Can you design a new shape for the twenty-eight squares and arrange the numbers in a logical way? What patterns do you notice?
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?
An old game but lots of arithmetic!
How will you work out which numbers have been used to create this multiplication square?
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?
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.
Use the information to work out how many gifts there are in each pile.
Using the statements, can you work out how many of each type of rabbit there are in these pens?
Here is a chance to play a version of the classic Countdown Game.
Work out Tom's number from the answers he gives his friend. He will only answer 'yes' or 'no'.
It's Sahila's birthday and she is having a party. How could you answer these questions using a picture, with things, with numbers or symbols?
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?
How many starfish could there be on the beach, and how many children, if I can see 28 arms?
Can you arrange 5 different digits (from 0 - 9) in the cross in the way described?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
How would you find out how many football cards Catrina has collected?
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!
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?
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.
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?
A game for 2 people. Use your skills of addition, subtraction, multiplication and division to blast the asteroids.
What is the lowest number which always leaves a remainder of 1 when divided by each of the numbers from 2 to 10?
Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.
What do you notice about the date 03.06.09? Or 08.01.09? This challenge invites you to investigate some interesting dates yourself.
Resources to support understanding of multiplication and division through playing with number.
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?
A group of children are using measuring cylinders but they lose the labels. Can you help relabel them?
Cherri, Saxon, Mel and Paul are friends. They are all different ages. Can you find out the age of each friend using the information?
The clockmaker's wife cut up his birthday cake to look like a clock face. Can you work out who received each piece?
Can you work out what a ziffle is on the planet Zargon?
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?
What is the sum of all the three digit whole numbers?
Does this 'trick' for calculating multiples of 11 always work? Why or why not?
Peter, Melanie, Amil and Jack received a total of 38 chocolate eggs. Use the information to work out how many eggs each person had.
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?
Four Go game for an adult and child. Will you be the first to have four numbers in a row on the number line?
Shut the Box game for an adult and child. Can you turn over the cards which match the numbers on the dice?
56 406 is the product of two consecutive numbers. What are these two numbers?
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.
There are three buckets each of which holds a maximum of 5 litres. Use the clues to work out how much liquid there is in each bucket.
Can you find which shapes you need to put into the grid to make the totals at the end of each row and the bottom of each column?