Puzzle 5
Fill in the missing numbers with the digits 1 to 9. A diamond shape in the middle means that the four numbers around it add to 20.
Each uses a different way to add to 20, if there is already 1 + 3 + 7 + 9, then there will not be another using the digits 1, 3, 7 and 9 (in any order).
The same digit isn't allowed to touch, even diagonally.
Puzzle Copyright © Elliott Line This puzzle appeared in Mensa's EnigmaSig (195.08) and is used with permission.
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Hint
The diamond on the right side can only be 2 + 3 + 7 + 8 (as another 9 would touch the existing 9).
Answer
Puzzle 6
What are the next two numbers in this sequence:
202 · 122 · 232 · 425 · 262 · 728 · ? · ?
Puzzle Copyright © Kevin Stone
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Answer
293 031: these are the numbers 20, 21, 22, 23 etc grouped into three digits.
Puzzle 7
How many times can you take 7 away from 49?
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Hint
This is a trick question.
Answer
Once.
After which you will be taking 7 from 42!
Puzzle 8
If I buy a melon and a coconut, the cost will be £1.19.
If I buy a melon and a pineapple, the cost will be £1.45.
If I buy a coconut and a pineapple, the cost will be £1.40.
What are the individual prices?
Puzzle Copyright © Kevin Stone
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Hint
A little algebra might help.
Answer
Pineapple = 83p, coconut = 57p, melon = 62p.
Reasoning
If we assign the letters P, C and M to the fruits, and work in pence we have:
(1) M + C = 119
(2) M + P = 145
(3) C + P = 140
Using (2) − (1) we have:
(4) P − C = 26
And (3) + (4) gives:
2P = 166
P = 83
This can then be substituted back into (2) and (3).
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