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Find a five-letter word such that:

* the sum of the third and fourth letters is 16

* the product of the third and fourth letters is 63

* the fifth letter is the square root of the fourth letter

* the second letter minus the first letter is equal to the fifth letter

* the sum of the first and second letters is equal to the product of the fourth and fifth letters

Wheels within wheels

ABCDEF are the vertices of a regular hexagon.

What fraction of the area of the large circle is the area of the small circle?

SOLUTIONS Word hunt (ages 9 to 13) The word is LOGIC.

Wheels within wheels (ages 14 to 16) the small circle is one-ninth of the large circle since the distance between the centres of the two circles is twice the radius of the small circle