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IMSO 2023 — Mathematics Exploration Question 2

IMSO Maths · IMSO 2023 — Mathematics Exploration

Question 2

Each box in the diagram contains a multiple of five from 5 to 60. List ALL possible arrangements of the numbers if:

(a) 15, 40 and 55, in that order, occupy successive boxes.
(b) 5 is in an odd-numbered box.
(c) The number in box 6 is larger than that in box 8.
(d) The difference between the numbers in boxes 8 and 7 is 5.
(e) Box 2 contains 20.
(f) The number in box 5 ends in zero.
(g) The number in box 4 is twice the number in box 12.
(h) 25 is in a box numbered two lower than the box containing 35.

Question illustration