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Play the divisibility game to create numbers in which the first two digits make a number divisible by 2, the first three digits make a number divisible by 3...

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

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Each clue in this Sudoku is the product of the two numbers in adjacent cells.

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

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Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?

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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 puzzle can be solved by finding the values of the unknown digits (all indicated by asterisks) in the squares of the $9\times9$ grid.

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A cinema has 100 seats. Show how it is possible to sell exactly 100 tickets and take exactly £100 if the prices are £10 for adults, 50p for pensioners and 10p for children.

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This Sudoku requires you to do some working backwards before working forwards.

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Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?

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Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

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A student in a maths class was trying to get some information from her teacher. She was given some clues and then the teacher ended by saying, "Well, how old are they?"

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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?

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Can you work out the arrangement of the digits in the square so that the given products are correct? The numbers 1 - 9 may be used once and once only.

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Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.

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Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.

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Gabriel multiplied together some numbers and then erased them. Can you figure out where each number was?

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The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?

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Can you find six numbers to go in the Daisy from which you can make all the numbers from 1 to a number bigger than 25?

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Given the products of diagonally opposite cells - can you complete this Sudoku?

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The number of plants in Mr McGregor's magic potting shed increases overnight. He'd like to put the same number of plants in each of his gardens, planting one garden each day. How can he do it?

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Number problems at primary level that require careful consideration.

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Can you rearrange the biscuits on the plates so that the three biscuits on each plate are all different and there is no plate with two biscuits the same as two biscuits on another plate?

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This challenge, written for the Young Mathematicians' Award, invites you to explore 'centred squares'.

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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?

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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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Make your own double-sided magic square. But can you complete both sides once you've made the pieces?

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You have two egg timers. One takes 4 minutes exactly to empty and the other takes 7 minutes. What times in whole minutes can you measure and how?

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Replace the letters with numbers to make the addition work out correctly. R E A D + T H I S = P A G E

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Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

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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?

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Two sudokus in one. Challenge yourself to make the necessary connections.

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Each of the main diagonals of this sudoku must contain the numbers 1 to 9 and each rectangle width the numbers 1 to 4.

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Only one side of a two-slice toaster is working. What is the quickest way to toast both sides of three slices of bread?

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A game for 2 people. Take turns placing a counter on the star. You win when you have completed a line of 3 in your colour.

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

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This task, written for the National Young Mathematicians' Award 2016, invites you to explore the different combinations of scores that you might get on these dart boards.

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Can you substitute numbers for the letters in these sums?

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An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

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

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

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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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Different combinations of the weights available allow you to make different totals. Which totals can you make?

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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?