Time: 40 minutes. Calculators are not allowed. Show your working in Section C.
1. Which angle is an obtuse angle?1 mark
2. Which statement is true?1 mark
3. The minute hand of a clock moves from 12 to 9 (clockwise). What angle does it turn through?1 mark
4. Which is the correct name of the marked angle?1 mark
5. In the figure, ∠AOB = 40° and ∠BOC = 50°. Which angle is a right angle?1 mark
6. What is the size of the angle?1 mark
7. Dev measured an obtuse angle. He read 70° on one scale and 110° on the other scale. What is the size of the angle?1 mark
8. Ria wants to draw ∠XYZ = 65°. The arm YX points to the right, on 0 of the baseline. Which scale should she use?1 mark
9. What is the best estimate of the size of this angle?1 mark
10. Rina is drawing ∠ABC. The arm BA is on 0 at the left. She puts a dot at the red dot and will join it to B. What size of angle will she draw?1 mark
11. How many right angles make a three-quarter turn?1 mark
12. Name the marked angle.1 mark
13. What is the size of ∠XYZ?1 mark
14. Using a ruler and a protractor, draw ∠KLM = 125°. The line LK is drawn for you.1 mark
15. A door is opened through an angle of 65°. It is then opened a further 40°. (a) What is the angle now? (b) Is the angle acute, right or obtuse?2 marks
16. (a) Name the three marked angles in triangle FGH. (b) Which of them is the obtuse angle?2 marks
17. OA lies along the baseline of the protractor. Find ∠BOC. Is it acute, right or obtuse?2 marks
18. Ria says ∠XYZ is 105° because the arm is at 105 on the inner scale. Is she correct? What is the size of ∠XYZ?2 marks
19. Draw ∠AOB = 45°. Then draw ∠BOC = 65° next to it, so that OB is between OA and OC. What is the size of ∠AOC? Is it acute, right or obtuse?2 marks
20. (a) Name the angle shown in the figure, using the letters E, F and G. (b) What is its size?2 marks
21. In the figure, ∠AOB = 25°. ∠BOC is 3 times as big as ∠AOB. ∠COD = 20°. (a) Find ∠AOC. (b) Find ∠AOD. Is it acute, right or obtuse?2 marks
22. ∠AOD is a right angle. ∠AOB = 25°. ∠BOC is 20° bigger than ∠AOB. (a) Find ∠COD. (b) Find ∠BOD.2 marks