Puzzle 1
Each of these rows of arrows represents a word. What are the words?
Puzzle Copyright © Kevin Stone
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Hint
Where else might you see arrows and letters together?
Answers
See, new, sense, sew, ewe.
The arrows are pointing in the compass directions N, E, S, and W.
Puzzle 2
What comes next in this sequence:
dog · cat · mouse · mole · deer · pig · ?
Choose from:
llama, cow, rabbit, frog
Puzzle Copyright © Kevin Stone
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Hint
The list is related to numbers.
Answer
Llama.
The length of each word is the same length as the numbers one, two, three, four, five, six, etc.
The next number is SEVEN, which has 5 letters, and llama is the only word with 5 letters.
Puzzle 3
Can you fill the thermometers with mercury, such that the numbers outside the grid indicate how many cells in each row and column contain mercury?
Mercury always starts filling from the bottom of a thermometer and not every thermometer has to contain mercury.
Puzzle Copyright © Johan de Ruiter
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Hint
Tops of thermometers can't be filled unless the bottoms are.
Answer
Puzzle 4
What is the smallest positive integer which …
… when multiplied by 3 gives a number consisting of only 4's?
Puzzle Copyright © Kevin Stone
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Hint
Try working backwards.
Answer
148.
Reasoning
A number that is divisible by 3 has digits that add up to a number that is also divisible by 3 (for example, 123 is divisible by 3).
So we can look for the first number where 4 + 4 + 4 + 4 + 4 + … is divisible by 3, which is 4 + 4 + 4, and 444 ÷ 3 = 148.
Alternative Reasoning
Let's try the possible answers in order:
4 ÷ 3 = 1.3333
44 ÷ 3 = 14.6666
444 ÷ 3 = 148
Double-Checking
148 x 3 = 444.
