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Senior High School · WASSCE style

Core Mathematics

Question 1

1An arc subtends an angle of 100° at the centre of a circle. What angle does it subtend at the circumference?

Easy
Question 2

2What is the size of an angle in a semicircle?

Easy
Question 3

3A parallelogram has one angle of 70°. What is the angle next to it?

Easy
Question 4

4Triangles ABC and PQR are similar with AB = 6, PQ = 9 and BC = 8. Find QR.

Hard
Question 5

5The angle subtended by a diameter at the circumference is

Easy
Question 6

6In a cyclic quadrilateral PQRS, ∠P = 3x and ∠R = 2x + 20°. Find x.

Medium
Question 7

7A regular polygon has 20 sides. Each exterior angle is

Medium
Question 8

8In a cyclic quadrilateral, one angle is 68°. The opposite angle is

Hard
Question 9

9Each exterior angle of a regular polygon is 40°. How many sides has it?

Easy
Question 10

10An angle and its complement differ by 30°. Find the smaller angle.

Medium

Demo questions written by Otisam in the style of the WASSCE. They are not WAEC past questions.