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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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Five numbers added together in pairs produce: 0, 2, 4, 4, 6, 8, 9, 11, 13, 15 What are the five numbers?

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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.

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Fill in the missing numbers so that adding each pair of corner numbers gives you the number between them (in the box).

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On a calculator, make 15 by using only the 2 key and any of the four operations keys. How many ways can you find to do it?

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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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Find another number that is one short of a square number and when you double it and add 1, the result is also a square number.

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Peter, Melanie, Amil and Jack received a total of 38 chocolate eggs. Use the information to work out how many eggs each person had.

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

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Use the information to work out how many gifts there are in each pile.

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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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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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Can you substitute numbers for the letters in these sums?

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Cassandra, David and Lachlan are brothers and sisters. They range in age between 1 year and 14 years. Can you figure out their exact ages from the clues?

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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 is an adding game for two players. Can you be the first to reach the target?

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Try out this number trick. What happens with different starting numbers? What do you notice?

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

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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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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?

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What do you notice about the date 03.06.09? Or 08.01.09? This challenge invites you to investigate some interesting dates yourself.

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Make a set of numbers that use all the digits from 1 to 9, once and once only. Add them up. The result is divisible by 9. Add each of the digits in the new number. What is their sum? Now try some. . . .

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A game for 2 players. Practises subtraction or other maths operations knowledge.

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Number problems at primary level that require careful consideration.

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Number problems at primary level to work on with others.

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

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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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Crosses can be drawn on number grids of various sizes. What do you notice when you add opposite ends?

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

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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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Can you put plus signs in so this is true? 1 2 3 4 5 6 7 8 9 = 99 How many ways can you do it?

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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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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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I was looking at the number plate of a car parked outside. Using my special code S208VBJ adds to 65. Can you crack my code and use it to find out what both of these number plates add up to?

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On the table there is a pile of oranges and lemons that weighs exactly one kilogram. Using the information, can you work out how many lemons there are?

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Rocco ran in a 200 m race for his class. Use the information to find out how many runners there were in the race and what Rocco's finishing position was.

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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?

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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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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.

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Number problems at primary level that may require resilience.

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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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EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.

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These sixteen children are standing in four lines of four, one behind the other. They are each holding a card with a number on it. Can you work out the missing numbers?