Challenge 1 In April Flash Harry bought a saddle for £100. In May he sold it for £200. In June he was sorry he had sold it. So he bought it back for £300. In July he got tired of it. So he sold it for £400. Overall, did Flash Harry make or lose money? How much did he make or lose?
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Challenge 2 1. My age this year is a multiple of 8. Next year it will be a multiple of 7. How old am I? 2. Last year my age was a square number. Next year it will be a cube number. How old am I? How long must I wait until my age is both a square number and a cube? 3. My Mum was 27 when I was born. 8 years ago she was twice as old as I shall be in 5 years’ time. How old am I now?
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Challenge 3 Zids have 4 spots. Zods have 9 spots. Altogether some Zids and Zods have 48 spots. How many Zids are there? How many Zods? What if Zids have 5 spots, Zods have 7 spots, and there are 140 spots altogether? Find as many solutions as you can.
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Challenge 4 Franco’s fast food This is what food costs at Franco’s café. 1 curry and 1 tea cost £4. 2 curries and 2 puddings cost £9. 1 pudding and 2 teas cost £2. What do you have to pay in total for 1 curry, 1 pudding and 1 tea? What does each item cost on its own?
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