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Four of these clues are needed to find the chosen number on this grid and four are true but do nothing to help in finding the number. Can you sort out the clues and find the number?

This article for teachers describes how number arrays can be a useful representation for many number concepts.

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Play this game and see if you can figure out the computer's chosen number.

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Look at three 'next door neighbours' amongst the counting numbers. Add them together. What do you notice?

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How will you work out which numbers have been used to create this multiplication square?

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Can you sort numbers into sets? Can you give each set a name?

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

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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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Are these statements always true, sometimes true or never true?

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

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Andrew decorated 20 biscuits to take to a party. He lined them up and put icing on every second biscuit and different decorations on other biscuits. How many biscuits weren't decorated?

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You can make a calculator count for you by any number you choose. You can count by ones to reach 24. You can count by twos to reach 24. What else can you count by to reach 24?

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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 find the chosen number from the grid using the clues?

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Pat counts her sweets in different groups and both times she has some left over. How many sweets could she have had?

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

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These red, yellow and blue spinners were each spun 45 times in total. Can you work out which numbers are on each spinner?

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Norrie sees two lights flash at the same time, then one of them flashes every 4th second, and the other flashes every 5th second. How many times do they flash together during a whole minute?

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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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Yasmin and Zach have some bears to share. Which numbers of bears can they share so that there are none left over?

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In this problem we are looking at sets of parallel sticks that cross each other. What is the least number of crossings you can make? And the greatest?

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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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How can you use just one weighing to find out which box contains the lighter ten coins out of the ten boxes?

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A game for 2 or more people. Starting with 100, subratct a number from 1 to 9 from the total. You score for making an odd number, a number ending in 0 or a multiple of 6.

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Got It game for an adult and child. How can you play so that you know you will always win?

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I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?

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Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?

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There are eight clues to help you find the mystery number on the grid. Four of them are helpful but the other four aren't! Can you sort out the clues and find the number?

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This big box multiplies anything that goes inside it by the same number. If you know the numbers that come out, what multiplication might be going on in the box?

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Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?

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Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?

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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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Is it possible to draw a 5-pointed star without taking your pencil off the paper? Is it possible to draw a 6-pointed star in the same way without taking your pen off?

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What is the smallest number of answers you need to reveal in order to work out the missing headers?

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Use this grid to shade the numbers in the way described. Which numbers do you have left? Do you know what they are called?

This article for primary teachers outlines why developing an intuitive 'feel' for numbers matters, and how our activities focusing on factors and multiples can help.

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Have a go at balancing this equation. Can you find different ways of doing it?

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Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?

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Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?

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Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?

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Can you work out some different ways to balance this equation?

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Guess the Dominoes for child and adult. Work out which domino your partner has chosen by asking good questions.