Four angles meet at a point. Three of them are 80 degrees, 95 degrees and 110 degrees. Work out the size of the fourth angle.
(Total for Question 1 is 1 mark)
2
A, B and C are three angles on a straight line, in that order. Angle A = 38 degrees and angle B = 71 degrees. Work out the size of angle C.
(Total for Question 2 is 1 mark)
3
Two straight roads cross at a roundabout. One of the four angles formed between the roads is 63 degrees. Work out the size of the angle that is vertically opposite this 63 degree angle.
(Total for Question 3 is 1 mark)
4
Angle p and angle q are complementary. Angle p = 58 degrees. Work out the size of angle q.
(Total for Question 4 is 1 mark)
5
Angle m and angle n are supplementary. Angle m = 112 degrees. Work out the size of angle n.
(Total for Question 5 is 1 mark)
6
A triangle has one angle of 90 degrees and one angle of 34 degrees. Work out the size of the third angle.
(Total for Question 6 is 1 mark)
7
A quadrilateral ABCD has angle A = 72 degrees, angle B = 99 degrees, angle C = 107 degrees and angle D = y.
(a)Work out the size of angle y.(1)
(b)Give a reason for your answer to part (a).(1)
(Total for Question 7 is 2 marks)
8
Triangle XYZ is isosceles, with XY = XZ. Angle X = 48 degrees.
(a)Work out the size of angle Y.(1)
(b)Give a reason for your answer to part (a).(1)
(Total for Question 8 is 2 marks)
9
In triangle GHI, the side HI is extended to a point J. The exterior angle GIJ = 132 degrees. Angle H = 58 degrees. Work out the size of angle G.
(Total for Question 9 is 1 mark)
10
AOB is a straight line. Angle AOC = 4x degrees and angle COB = (2x + 30) degrees. Work out the value of x.
(Total for Question 10 is 2 marks)
11
Two straight cables cross at a fixed point. The angle on one side of the crossing point is (5x - 15) degrees, and the angle vertically opposite it, on the other side, is (3x + 25) degrees. Work out the value of x.
(Total for Question 11 is 2 marks)
12
A student was asked to work out angle b, given that angle a = 132 degrees and that angles a and b lie on a straight line. The student's working was: b = 180 + 132 = 312 degrees.
(a)Identify the error in the student's method.(1)
(b)Work out the correct value of angle b.(1)
(Total for Question 12 is 2 marks)
13
Triangle LMN has angle L = 57 degrees and angle M = 68 degrees. The side LN is extended beyond N to a point O, so that angle MNO is the exterior angle at N. Show that angle MNO = 125 degrees.
(Total for Question 13 is 2 marks)
14
The three angles in a triangle are (x + 30) degrees, 2x degrees and (3x + 18) degrees.
(a)Work out the value of x.(2)
(b)Work out the size of the largest angle in the triangle.(1)
(Total for Question 14 is 3 marks)
15
Two straight lines AB and CD intersect at point O. Angle AOC = (2x + 15) degrees and angle AOD = (3x - 5) degrees. Angles AOC and AOD lie on the straight line CD, so they are supplementary.
(a)Work out the value of x.(2)
(b)Angle BOC is vertically opposite angle AOD. Work out the size of angle BOC.(1)
(Total for Question 15 is 3 marks)
Mark scheme · 2.10DB Angles: Fluency and Exam Drill (Part 2)
Question 1
B1 75 degrees cao
Answer: 75 degrees
Question 2
B1 71 degrees cao
Answer: 71 degrees
Question 3
B1 63 degrees cao
Answer: 63 degrees
Question 4
B1 32 degrees cao
Answer: 32 degrees
Question 5
B1 68 degrees cao
Answer: 68 degrees
Question 6
B1 56 degrees cao
Answer: 56 degrees
Question 7
(a) B1 82 degrees cao
(a) Answer: 82 degrees
(b) B1 angles in a quadrilateral sum to 360 degrees oe
(b) Answer: Angles in a quadrilateral add up to 360 degrees.
Question 8
(a) B1 66 degrees cao
(a) Answer: 66 degrees
(b) B1 base angles of an isosceles triangle are equal oe
(b) Answer: Base angles in an isosceles triangle are equal.