Challenge 1 You need six drinking straws each the same length. Cut two of them in half. You now have eight straws, four long and four short. You can make 2 squares from the eight straws. Arrange your eight straws to make 3 squares, all the same size.
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Challenge 2 Gurmit paid £21 for five presents. For A and B he paid a total of £6. For B and C he paid a total of £10. For C and D he paid a total of £7. For D and E he paid a total of £9. How much did Gurmit pay for each present?
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Challenge 3 Make ten cards numbered 0 to 9. Each time use all ten cards. Arrange the cards to make: a. five numbers that are multiples of 3 b. five numbers that are multiples of 7 c. five prime numbers Make up more problems to use all ten cards to make five special numbers.
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Challenge 4
The pages of Jack’s book are numbered from 1. The page numbers have a total of 555 digits. How many pages has the book got? How many of the digits are a 5?
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