Working systematically
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problemThere are seven pots of plants in a greenhouse. They have lost their labels. Perhaps you can help re-label them. -
problemA square deal
Complete the magic square using the numbers 1 to 25 once each. Each row, column and diagonal adds up to 65. -
problemEight queens
Place eight queens on an chessboard (an 8 by 8 grid) so that none can capture any of the others. -
problemElf suits
If these elves wear a different outfit every day for as many days as possible, how many days can their fun last? -
problemThe Pied Piper of Hamelin
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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problemAdding plus
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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problemAll seated
Look carefully at the numbers. What do you notice? Can you make another square using the numbers 1 to 16, that displays the same properties?
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problemChocoholics
George and Jim want to buy a chocolate bar. George needs 2p more and Jim need 50p more to buy it. How much is the chocolate bar? -
problemFavouriteOrange drink
A 750 ml bottle of concentrated orange squash is enough to make fifteen 250 ml glasses of diluted orange drink. How much water is needed to make 10 litres of this drink?
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problemFavouriteAndy's marbles
Andy had a big bag of marbles but unfortunately the bottom of it split and all the marbles spilled out. Use the information to find out how many there were in the bag originally.