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Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.

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Place the numbers 1 to 8 in the circles so that no consecutive numbers are joined by a line.

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In this problem it is not the squares that jump, you do the jumping! The idea is to go round the track in as few jumps as possible.

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This challenge involves calculating the number of candles needed on birthday cakes. It is an opportunity to explore numbers and discover new things.

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In a square in which the houses are evenly spaced, numbers 3 and 10 are opposite each other. What is the smallest and what is the largest possible number of houses in the square?

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In how many ways could Mrs Beeswax put ten coins into her three puddings so that each pudding ended up with at least two coins?

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Exactly 195 digits have been used to number the pages in a book. How many pages does the book have?

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Can you use the numbers on the dice to reach your end of the number line before your partner beats you?

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Incey Wincey Spider game for an adult and child. Will Incey get to the top of the drainpipe?

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You'll need two dice to play this game against a partner. Will Incey Wincey make it to the top of the drain pipe or the bottom of the drain pipe first?

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

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Here is a version of the game 'Happy Families' for you to make and play.

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Can you find a path from a number at the top of this network to the bottom which goes through each number from 1 to 9 once and once only?

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Investigate the different ways these aliens count in this challenge. You could start by thinking about how each of them would write our number 7.

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Can you design a new shape for the twenty-eight squares and arrange the numbers in a logical way? What patterns do you notice?

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How would you count the number of fingers in these pictures?

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Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?

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Kimie and Sebastian were making sticks from interlocking cubes and lining them up. Can they make their lines the same length? Can they make any other lines?

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"Ip dip sky blue! Who's 'it'? It's you!" Where would you position yourself so that you are 'it' if there are two players? Three players ...?

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This problem challenges you to find out how many odd numbers there are between pairs of numbers. Can you find a pair of numbers that has four odds between them?

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If you have ten counters numbered 1 to 10, how many can you put into pairs that add to 10? Which ones do you have to leave out? Why?

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Take a look at the video of this trick. Can you perform it yourself? Why is this maths and not magic?

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Solve this Sudoku puzzle whose clues are in the form of sums of the numbers which should appear in diagonal opposite cells.

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There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?

This article for pupils explores what makes numbers special or lucky, and looks at the numbers that are all around us every day.

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In this problem, we're investigating the number of steps we would climb up or down to get out of or into the swimming pool. How could you number the steps below the water?

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Use five steps to count forwards or backwards in 1s or 10s to get to 50. What strategies did you use?

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Nim-7 game for an adult and child. Who will be the one to take the last counter?

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Daisy and Akram were making number patterns. Daisy was using beads that looked like flowers and Akram was using cube bricks. First they were counting in twos.

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Can you work out how to win this game of Nim? Does it matter if you go first or second?

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A game for two people, who take turns to move the counters. The player to remove the last counter from the board wins.

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A magician took a suit of thirteen cards and held them in his hand face down. Every card he revealed had the same value as the one he had just finished spelling. How did this work?

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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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Find the words hidden inside each of the circles by counting around a certain number of spaces to find each letter in turn.

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Watch the video of Fran re-ordering these number cards. What do you notice? Try it for yourself. What happens?

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25 students are queuing in a straight line. How many are there between Julia and Jenny?

Ruth Trundley outlines her doctoral research and concludes that development of an understanding of cardinality is a crucial element of counting that can be overlooked.

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This is a game in which your counters move in a spiral round the snail's shell. It is about understanding tens and units.

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Can you work out how many apples there are in this fruit bowl if you know what fraction there are?

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How many legs do each of these creatures have? How many pairs is that?

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Dotty Six game for an adult and child. Will you be the first to have three sixes in a straight line?

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In this investigation we are going to count the number of 1s, 2s, 3s etc in numbers. Can you predict what will happen?

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Dotty Six is a simple dice game that you can adapt in many ways.