Write down the answer to each question about angle facts.
(a)Write down the size of a right angle.(1)
(b)Write down the sum of the angles on a straight line.(1)
(c)Write down the sum of the angles around a point.(1)
(d)Write down the sum of the angles in a triangle.(1)
(Total for Question 1 is 4 marks)
2
Write down the mathematical name for each type of angle.
(a)An angle measures 35 degrees. Write down the mathematical name for this type of angle.(1)
(b)An angle measures 120 degrees. Write down the mathematical name for this type of angle.(1)
(c)An angle measures 90 degrees. Write down the mathematical name for this type of angle.(1)
(d)An angle measures 265 degrees. Write down the mathematical name for this type of angle.(1)
(Total for Question 2 is 4 marks)
3
Circle the angle below that is a reflex angle.
A) 45 degrees B) 90 degrees C) 135 degrees D) 200 degrees
A) 45 degrees
B) 90 degrees
C) 135 degrees
D) 200 degrees
(Total for Question 3 is 1 mark)
4
A protractor is placed with its centre on the vertex of angle ABC. The arm of the angle crosses the scale at 38 on the inner scale and 142 on the outer scale. By eye, angle ABC is clearly smaller than a right angle.
(Total for Question 4 is 2 marks)
5
Ray AB is drawn below from point A.
Using a protractor, draw a ray AC so that angle BAC = 62 degrees. Label your angle.
(Total for Question 5 is 1 mark)
6
Triangle DEF is drawn below. An arc marks the angle at vertex E.
Write down, using three letters, the name of the angle marked with the arc.
(Total for Question 6 is 1 mark)
7
AOB is a straight line. C is a point above the line. Angle AOC = 65 degrees. Angle COB = a.
Work out the size of angle a.
Diagram NOT accurately drawn
(Total for Question 7 is 2 marks)
8
Three angles meet at point O: 120 degrees, 95 degrees and x.
Work out the size of angle x.
Diagram NOT accurately drawn
(Total for Question 8 is 2 marks)
9
Two straight lines cross at point O, forming four angles. One of the angles is marked p = 72 degrees. Angle x is vertically opposite angle p. Angle y is adjacent to angle p on a straight line.
Diagram NOT accurately drawn
(a)Write down the size of angle x. Give a reason for your answer.(2)
(b)Work out the size of angle y.(2)
(Total for Question 9 is 4 marks)
10
Triangle PQR has angle P = 90 degrees and angle Q = 35 degrees. Angle R = z.
Diagram NOT accurately drawn
(a)Work out the size of angle z.(2)
(b)Write down the mathematical name for this type of triangle.(1)
(Total for Question 10 is 3 marks)
11
Triangle STU is isosceles, with ST = SU. Angle S = 40 degrees. Angles T and U are equal, each = b.
Diagram NOT accurately drawn
(a)Work out the size of angle b.(2)
(b)Give a reason why angle T is equal to angle U.(1)
(Total for Question 11 is 3 marks)
12
Angle m and angle n are complementary. Angle m = 34 degrees.
Work out the size of angle n.
(Total for Question 12 is 2 marks)
13
Quadrilateral WXYZ has angle W = 80 degrees, angle X = 95 degrees, angle Y = 110 degrees and angle Z = k.
Work out the size of angle k.
Diagram NOT accurately drawn
(Total for Question 13 is 3 marks)
14
Triangle LMN has angle L = 50 degrees and angle M = 65 degrees. NP is a straight line through N, so angle MNP is an exterior angle of the triangle at N.
Work out the size of the exterior angle MNP.
Diagram NOT accurately drawn
(Total for Question 14 is 2 marks)
15
A ship sails from port A on a bearing of 065 degrees.
Diagram NOT accurately drawn
(a)Write down why the bearing is given as 065 and not 65.(1)
(b)Work out the bearing needed to sail back to port A (the back bearing).(2)
(Total for Question 15 is 3 marks)
16
ABCDE is a regular pentagon.
Diagram NOT accurately drawn
(a)Work out the sum of the interior angles of the pentagon.(2)
(b)Work out the size of one interior angle of the regular pentagon.(2)
(Total for Question 16 is 4 marks)
17
Work out the size of the angle between the hour hand and the minute hand of a clock at 4 o'clock.
Diagram NOT accurately drawn
(Total for Question 17 is 2 marks)
18
EFG is a straight line. Angle EFH = (2x + 10) degrees and angle HFG = (3x - 20) degrees.
Diagram NOT accurately drawn
(a)Show that x = 38.(3)
(b)Work out the size of angle HFG.(1)
(Total for Question 18 is 4 marks)
19
Two parallel lines are cut by a transversal. Angle p = 118 degrees is marked between the transversal and the upper parallel line. Angle q is corresponding to angle p on the lower parallel line. Angle r is co-interior (allied) with angle p.
Diagram NOT accurately drawn
(a)Write down the size of angle q. Give a reason for your answer.(2)
(b)Work out the size of angle r. Give a reason for your answer.(2)
(Total for Question 19 is 4 marks)
20
Triangle QRS is drawn. QT is a straight line through Q, so angle RQT = 112 degrees is an exterior angle of the triangle at Q. Angle S = 59 degrees. Angle R = x.
Work out the size of angle x.
Diagram NOT accurately drawn
(Total for Question 20 is 4 marks)
Mark scheme · 2.10 Angles
Question 1
(a) B1 90 (degrees) cao
(a) Answer: 90 degrees
(b) B1 180 (degrees) cao
(b) Answer: 180 degrees
(c) B1 360 (degrees) cao
(c) Answer: 360 degrees
(d) B1 180 (degrees) cao
(d) Answer: 180 degrees
Question 2
(a) B1 acute cao
(a) Answer: Acute
(b) B1 obtuse cao
(b) Answer: Obtuse
(c) B1 right angle cao
(c) Answer: Right angle
(d) B1 reflex cao
(d) Answer: Reflex
Question 3
B1 D circled, cao
Answer: D) 200 degrees
Question 4
B1 identifies that angle ABC is acute (less than 90 degrees) oe