Problems And Answers PHIMO MOCK 2020 SECONDARY 3

21. Find the interior angle between two sides of a regular octagon (in degrees).

22. A rectangle has perimeter 10 and diagonal \(\sqrt{15}\). What is its area?

23. A rectangle has sides of length sin x and cos x for some x. What is the largest possible area of such rectangle?

24. What is the exact measure of each angle(in degrees) of a regular polygon if it has 819 diagonals?

25. If two fair dice are tossed, what is the probability that their sum is divisible by 5?

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