Puzzle 17
A local school teacher wanted to share 703 sweets equally between the pupils.
If there were more than 20, but fewer than 50 pupils, how many sweets did each receive?
Puzzle Copyright © Kevin Stone
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Hint
What numbers divide into 703?
Answer
The 37 pupils each received 19 sweets.
Reasoning
703 can only be broken down into 19 x 37, it has no other factors.
Puzzle 18
I am a nine-letter word (123456789).
From 6523 grows a plant.
I 689, I 689, I 689, it's no joke.
751 rhymes with you.
421 rhymes too!
What am I?
Puzzle Copyright © Kevin Stone
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Hint
Each number in the poem indicates which letter of the answer is being used.
Answer
Wednesday.
Reasoning
Each number in the poem indicates which letter of the answer is being used.
6523 = seed
689 = say
751 = dew
421 = new
Therefore, '751 rhymes with you' is read as 'dew rhymes with you'.
Puzzle 19
Every year, just before my birthday, I open my money box to see how much money I have saved.
Imagine my surprise when I found exactly £49.58 made up of equal numbers of 2p, 5p, 10p and 20p.
How many of each coin did I find?
Puzzle Copyright © Kevin Stone
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Hint
Remember that you have the same number of each coin.
Answer
134 of each coin.
Reasoning
We have equal numbers of 2p, 5p, 10p, and 20p.
And 2p + 5p + 10p + 20p = 37p.
There are 134 lots of 37p in £49.58.
Double-Checking
134 x 37 = 4958.
Puzzle 20
In this long division, each number has been replaced by another. The answer has also been removed. Can you determine the answer?
....
———————
75 | 796767
791
——
57
30
——
86
82
——
47
47
——
9
Puzzle Copyright © Kevin Stone
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Answer
6423 = 109,191 ÷ 17.
The numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 0 have been replaced by 7, 1, 8, 2, 4, 3, 5, 0, 6, 9 respectively.
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