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Brainteasers

Puzzles to test mathematical skills, set by Anita Straker. Solutions below

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FIREWORKS

Anna had 16 fireworks packed in 4 boxes.

Each box had a different number of fireworks in it.

1. Each box had an odd number of fireworks.

How many fireworks were in each box?

2. The box with the most fireworks had an even number of fireworks. In two of the boxes there were 8 fireworks altogether.

How many fireworks were in each box?

JACKET POTATOES

Jade and Daniel bought some big potatoes to cook in the bonfire.

1. Jade had no 1p coins but she paid pound;1.03 exactly.

She used 8 coins to pay.

Which coins did she use?

2. Daniel had only 10p and 1p coins.

He paid pound;1.02 exactly.

He used 30 coins to pay.

Which coins did he use?

SOLUTIONS Fireworks (Age 5 to 8) 1: The boxes have 1, 3, 5 and 7 fireworks in them. 2: The boxes have 6, 2, 5 and 3 fireworks in them. If there are 8 fireworks in one pair of boxes, there are 8 in the other pair. The possibilities for the pairs are 7 and 1, 6 and 2, or 5 and 3. Since the largest number is even, the boxes must hold 6, 2, 5 and 3 fireworks.

Jacket potatoes (Age 7 to 11) 1 : 50p, 20p, 20p, 5p, 2p, 2p, 2p, 2p. 2: Eight 10p and 22 1p coins.

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