# Module 3 - Unit 1: Angles

## Self-Audit

For the multiple choice questions below, choose one answer, (a), (b), (c) or (d), that is CORRECT by clicking the appropriate box.
Calculators are NOT allowed unless it is indicated in the question.

## Section 1.1 - Angles and Turns

Question 1
 What angle do you turn through from SE to SW clockwise? (A) 45° (B) 90° (C) 180° (D) 270°
Question 2
 What angle do you turn through from NE to S clockwise? (A) 45° (B) 135° (C) 215° (D) None of these
Question 3
 In what direction will you be facing if you turn through 270° clockwise from SW? (A) SE (B) NE (C) NW (D) None of these
Question 4
 On the map below, in what direction should you walk from the church to get to the beach? (A) E (B) S (C) SW (D) SE

## Section 1.2 - Measuring Angles

Question 5
 What is the size of angle a in the diagram below? (A) 45° (B) 90° (C) 315° (D) None of these
Question 6
 What is the size of angle b in the diagram below? (A) 30° (B) 60° (C) 120° (D) 150°
Question 7
 What is the size of angle c in the diagram below? (A) 120° (B) 210° (C) 240° (D) 300°
Question 8
 What is the size of angle d in the diagram below? (A) 60° (B) 120° (C) 240° (D) 300°

## Section 1.3 - Classifying Angles

The following questions all refer to the diagram above.

Question 9
 Which angle is obtuse? (A) A (B) B (C) C (D) D
Question 10
 How many acute angles are there? (A) 1 (B) 2 (C) 3 (D) 4
Question 11
 Which is a reflex angle? (A) A (B) B (C) C (D) D
Question 12
 How many angles are greater than 360°? (A) 0 (B) 1 (C) 2 (D) 3

## Section 1.4 - Angles on a Line and Angles at a Point

Question 13
 What is the size of the unknown angle? (A) 60° (B) 90° (C) 120° (D) 150°
Question 14
 What is the size of the unknown angle? (A) 60° (B) 90° (C) 120° (D) 135°
Question 15
 What is the size of the unknown angle? (A) 70° (B) 80° (C) 90° (D) None of these
Question 16
 The diagram below.shows a playground roundabout, viewed from above. Metal bars are fixed to the centre, as shown. The angles between all the bars is the same. What size are those angles? (A) 30° (B) 60° (C) 90° (D) 120°

## Section 1.5 - Finding Angles in Triangles

Question 17
 Calculate the unknown angle in the triangle below. (A) 30° (B) 50° (C) 70° (D) None of these
Question 18
 Calculate the marked unknown angle in the triangle below. (A) 50° (B) 65° (C) 75° (D) None of these
Question 19
 What type of triangle is represented below? (A) Scalene (B) Isosceles (C) Equilateral (D) None of these
Question 20
 What is the size of the marked exterior angle in the triangle below? (A) 70° (B) 90° (C) 110° (D) None of these

## Section 1.6 - Parallel and Intersecting Lines

The diagram below relates to Questions 21 and 22

Question 21
 In the diagram above, what is the size of angle x? (A) 25° (B) 65° (C) 115° (D) None of these
Question 22
 In the diagram above, what is the size of angle y? (A) 25°: (B) 65° (C) 115° (D) None of these
The diagram below relates to Questions 23 and 24

Question 23
 In the parallelogram shown above, what is the size of angle x? (A) 125° (B) 135° (C) 145° (D) None of these
Question 24
 In the parallelogram shown above, what is the size of angle y? (A) 35° (B) 55° (C) 75° (D) None of these

## Section 1.7 - Bearings

Question 25
 On what bearing is a plane travelling if it is heading west from its starting point? (A) 090° (B) 180° (C) 270° (D) None of these
Question 26
 On what bearing is a plane travelling if it is heading SE from its starting point? (A) 045° (B) 135° (C) 225° (D) 315°
Question 27
 A ship sails from A to B on a bearing of 120° . On what bearing must it sail to return from B to A? (A) 060° (B) 120° (C) 240° (D) 300°
Question 28
 If A is north of B and C is southeast of B on a bearing of 150° from A, what is the bearing of A from C? (A) 030° (B) 060° (C) 300° (D) 330°

## Section 1.8 - Scale Drawings

You will need a ruler and pertractor in order to produce the scale drawings needed to answer the questions in this section.

Question 29
 A ship leaves a port and sails 10 km NE, then 10 km S to an oil rig. Draw a scale drawing to represent this and estimate the distance of the oil rig from the port, giving your answer to the nearest km. (A) 7 km (B) 8 km (C) 9 km (D) None of these
Question 30
 Using the same scale drawing from the previous question estimate the bearing of the oil rig from the port, giving your answer to the nearest degree. (A) 068° (B) 113° (C) 293° (D) None of these
Question 31
 A girl walks 12 km north and then 7 km east and then stops. Draw a scale drawing, using 1 cm to represent 1 km, and estimate the distance, to the nearest km, between her starting point and her stopping point. (A) 12 km (B) 13 km (C) 14 km (D) None of these
Question 32
 Using the same scale drawing as the previous question, estimate the bearing on which she must walk to go directly back to her starting point. Give your answer to the nearest degree. (A) 030° (B) 060° (C) 210° (D) None of these