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Apples

Tim has three apples. The mean (average) weight of the three apples is 90 grams. When Tim eats the largest apple, the mean weight of the remaining two apples is just 70 grams. What was the weight of the largest apple?

Alice thinks of a number

Alice thinks of a number.  Alice calls her number a.  Alice adds 7 to her number, and then doubles her answer.  Write an expression, using a, to show what Alice does.

Find out x

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 Find the value of χ in the diagram below

40 Coloured Counters

There are 40 coloured counters in a box. Half of them are red, one-fifth are yellow and the rest are green. How many are green?

A Piece of Wire

A piece of wire 30cm long is bent into the shape of a rectangle. If the rectangle is twice as long as it is wide, what is its area?

Trains

A train leaves London at 10.35 a.m. and arrives in Exeter 3 hours and 35 minutes later. What time does it arrive?

Crosses and Squares

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Two crosses can be put in three squares in three different ways, as follows.  In how many different ways can you put three crosses in five squares?