Algebra - January 2004, Stage 3&4

Problems

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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?

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Chocolate 2010

Stage: 4 Challenge Level: Challenge Level:1

First of all, pick the number of times a week that you would like to eat chocolate. Multiply this number by 2...

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Always Perfect

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Show that if you add 1 to the product of four consecutive numbers the answer is ALWAYS a perfect square.