Angle Relationships: Straight, Intersecting & Perpendicular Lines

∑ DANEMATHICS

FREE CAPS MATHS RESOURCES

Grade 8 · Geometry of Straight Lines

EXAM-STYLE CLASS TEST

Marks

Duration

1 hour

Questions

Name:

Class:

Date:

Mark

/ 37

Instructions and Information

Answer ALL the questions in this question paper.
Answer QUESTION 1 by circling the letter (A–D) in the answer grid at the end of that section.
Show ALL calculations clearly.
Show all units where applicable.
Number the answers correctly according to the numbering system used in this question paper.
A non-programmable calculator may be used, unless stated otherwise.
Write neatly and legibly.

Question 1

[10 MARKS]

Four options are given as possible answers to the following questions. Choose the correct answer and circle the letter (A–D) in the grid at the end of this section. If you want to change your choice, put a cross through the wrong letter and circle your new choice.

1.1
Angles on a straight line add up to …
(1)
A)90°
B)180°
C)360°
D)270°
1.2
Angles round a point add up to …
(1)
A)180°
B)360°
C)90°
D)540°
1.3
Two lines intersect. One angle is 65°. The angle VERTICALLY OPPOSITE it is …
(1)
A)115°
B)65°
C)25°
D)295°
1.4
Two angles on a straight line are x and 3x. The value of x is …
(1)
A)60°
B)45°
C)90°
D)30°
1.5
Two angles that add up to 90° are called …
(1)
A)supplementary
B)complementary
C)vertically opposite
D)adjacent
1.6
Perpendicular lines meet at …
(1)
A)180°
B)90°
C)45°
D)360°
1.7
An angle of 130° is called …
(1)
A)acute
B)obtuse
C)reflex
D)right
1.8
The SUPPLEMENT of 47° is …
(1)
A)43°
B)133°
C)313°
D)47°
1.9
Three angles round a point are 90°, 130° and x. Then x is …
(1)
A)40°
B)140°
C)220°
D)360°
1.10
Which statement about vertically opposite angles is TRUE?
(1)
A)they add up to 180°
B)they are equal
C)they add up to 90°
D)they are always acute

Answer grid — circle your answers for Question 1

1.1	A	B	C	D
1.2	A	B	C	D
1.3	A	B	C	D
1.4	A	B	C	D
1.5	A	B	C	D
1.6	A	B	C	D
1.7	A	B	C	D
1.8	A	B	C	D
1.9	A	B	C	D
1.10	A	B	C	D

Question 2

[10 MARKS]

In the diagram below, two straight lines intersect at O. The diagram is not drawn to scale.

2.1
Calculate the value of x.
(3)
2.2
Hence determine the size of the angle marked (3x + 10)°.
(3)
2.3
Hence determine, with a reason, the size of y.
(4)

Question 3

[9 MARKS]

Four rays meet at the point O in the diagram below. The diagram is not drawn to scale.

3.1
Write down an equation in x and solve it.
(4)
3.2
Hence write down the size of each of the three unknown angles.
(3)
3.3
Show that your four angles are correct.
(2)

Question 4

[8 MARKS]

Answer the following. Show all your working.

4.1
Two angles, (2y − 10)° and (y + 40)°, are complementary. Calculate the value of y and the size of each angle.
(4)
4.2
An angle is three times the size of its supplement. Calculate the size of the angle.
(4)

TOTAL: 37 marks

This question paper consists of 4 questions.

Statement	Reason

Statement	Reason

Statement	Reason

Statement	Reason