Question 1 Foundation
Two angles lie on a straight line. One is . Find the other.
Answer.
Angles on a straight line add to , so the other is .
Geometry and Trigonometry I
Original questions written at exam standard. Work each one before you open the solution.
Difficulty
Question 2 Foundation
Find the sum of the interior angles of an octagon.
Answer.
with gives .
Question 3 Standard
A right-angled triangle has shorter sides 9 cm and 12 cm. Find the hypotenuse.
Answer. cm
, so . This is the 3-4-5 triangle scaled by 3.
Question 4 Standard
Two parallel lines are cut by a transversal. One angle is . Find the co-interior angle.
Answer.
Co-interior (C-shaped) angles add to , so the answer is .
Question 5 Stretch
Find the size of each interior angle of a regular polygon with 12 sides.
Answer.
Each exterior angle is , so each interior angle is .
Question 6 Stretch
The point is rotated about the origin. Find the image.
Answer.
A rotation about the origin maps to , so both signs change.