Core Mathematics

1When a transversal cuts two parallel lines, alternate angles are

2A ladder 13 m long reaches 12 m up a wall. How far is its foot from the wall?

3The interior angles of a pentagon are x, 2x, 3x, 4x and 5x. Find x.

4The sides of a right triangle are x, x + 7 and x + 8. Find x.

5The two shorter sides of a right-angled triangle are 8 cm and 15 cm. Find the hypotenuse.

6A regular polygon has interior angles of 150°. How many sides has it?

7An angle is 20° more than its complement. Find the angle.

8Which set of sides forms a right-angled triangle?

9Co-interior (allied) angles between parallel lines add up to

10The hypotenuse of a right triangle is 13 cm and one side is 5 cm. The other side is