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

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

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

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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?

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

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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!

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Mr McGregor has a magic potting shed. Overnight, the number of plants in it doubles. He'd like to put the same number of plants in each of three gardens, planting one garden each day. Can he do it?

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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.

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

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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?

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

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Annie cut this numbered cake into 3 pieces with 3 cuts so that the numbers on each piece added to the same total. Where were the cuts and what fraction of the whole cake was each piece?

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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.

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Using some or all of the operations of addition, subtraction, multiplication and division and using the digits 3, 3, 8 and 8 each once and only once make an expression equal to 24.

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

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

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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.

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

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

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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?

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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.

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

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

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

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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?

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When I type a sequence of letters my calculator gives the product of all the numbers in the corresponding memories. What numbers should I store so that when I type 'ONE' it returns 1, and when I type. . . .

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Can you put these four calculations into order of difficulty? How did you decide?

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What is the lowest number which always leaves a remainder of 1 when divided by each of the numbers from 2 to 10?

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Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.

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Can you find different ways of creating paths using these paving slabs?

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Given the products of adjacent cells, can you complete this Sudoku?

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Go through the maze, collecting and losing your money as you go. Which route gives you the highest return? And the lowest?

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Here are the prices for 1st and 2nd class mail within the UK. You have an unlimited number of each of these stamps. Which stamps would you need to post a parcel weighing 825g?

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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?

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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?

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The clues for this Sudoku are the product of the numbers in adjacent squares.

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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!

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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?

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This Sudoku puzzle can be solved with the help of small clue-numbers on the border lines between pairs of neighbouring squares of the grid.

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How many ways can you find to put in operation signs (+ - x Ã·) to make 100?

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Look on the back of any modern book and you will find an ISBN code. Take this code and calculate this sum in the way shown. Can you see what the answers always have in common?

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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?

More resources to support understanding multiplication and division through playing with numbers

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In this simulation of a balance, you can drag numbers and parts of number sentences on to the trays. Have a play!

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

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

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This task combines spatial awareness with addition and multiplication.

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This challenge combines addition, multiplication, perseverance and even proof.