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Pumpkin Pie Problem

Peter wanted to make two pies for a party. His mother had a recipe for him to use. However, she always made 80 pies at a time. Did Peter have enough ingredients to make two pumpkin pies?

Cherry Buns

Sam's grandmother has an old recipe for cherry buns. She has enough mixture to put 45 grams in each of 12 paper cake cases. What was the weight of one egg?

Orange 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?


Age 7 to 11
Challenge Level

Have you tried drawing a picture or diagram of each method?
In Mo's method, what is the relationship between the length of the cane and the length of its shadow? How could that help you work out the height of the tree if you know the length of the tree's shadow?
How might the picture of Sam's method included in the problem help?