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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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Move from the START to the FINISH by moving across or down to the next square. Can you find a route to make these totals?

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Use the numbers and symbols to make this number sentence correct. How many different ways can you find?

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Use these head, body and leg pieces to make Robot Monsters which are different heights.

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Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?

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Can you find the chosen number from the grid using the clues?

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Number problems at primary level that require careful consideration.

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

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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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In this calculation, the box represents a missing digit. What could the digit be? What would the solution be in each case?

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

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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 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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Add the sum of the squares of four numbers between 10 and 20 to the sum of the squares of three numbers less than 6 to make the square of another, larger, number.

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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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Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.

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This dice train has been made using specific rules. How many different trains can you make?

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Can you substitute numbers for the letters in these sums?

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

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There are 4 jugs which hold 9 litres, 7 litres, 4 litres and 2 litres. Find a way to pour 9 litres of drink from one jug to another until you are left with exactly 3 litres in three of the jugs.

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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?

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Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?

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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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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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What happens when you add three numbers together? Will your answer be odd or even? How do you know?

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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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How could you put these three beads into bags? How many different ways can you do it? How could you record what you've done?

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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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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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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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There are 78 prisoners in a square cell block of twelve cells. The clever prison warder arranged them so there were 25 along each wall of the prison block. How did he do it?

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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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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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In the multiplication calculation, some of the digits have been replaced by letters and others by asterisks. Can you reconstruct the original multiplication?

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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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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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What two-digit numbers can you make with these two dice? What can't you make?

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

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