Algebra - January 2004, Stage 2&3

Problems

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Cherry Buns

Stage: 2 Challenge Level: Challenge Level:1

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?

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Cherries Come in Twos

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

Susie took cherries out of a bowl by following a certain pattern. How many cherries had there been in the bowl to start with if she was left with 14 single ones?

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Beads

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?

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Weekly Problem 40 - 2012

Stage: 3 Challenge Level: Challenge Level:1

Weekly Problem 40 - 2012

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Weekly Problem 39 - 2012

Stage: 3 Challenge Level: Challenge Level:1

Weekly Problem 39 - 2012

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Weekly Problem 38 - 2012

Stage: 3 Challenge Level: Challenge Level:1

Weekly Problem 38 - 2012

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Weekly Problem 37 - 2012

Stage: 3 Challenge Level: Challenge Level:1

Weekly Problem 37 - 2012

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Mind Reading

Stage: 3 Challenge Level: Challenge Level:1

Think of a number, add one, double it, take away 3, add the number you first thought of, add 7, divide by 3 and take away the number you first thought of. You should now be left with 2. How do I. . . .

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Children at Large

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

There are four children in a family, two girls, Kate and Sally, and two boys, Tom and Ben. How old are the children?

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Sweet Shop

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Five children went into the sweet shop after school. There were choco bars, chews, mini eggs and lollypops, all costing under 50p. Suggest a way in which Nathan could spend all his money.

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How Many Miles to Go?

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

A car's milometer reads 4631 miles and the trip meter has 173.3 on it. How many more miles must the car travel before the two numbers contain the same digits in the same order?