Name: ___________________________

GCSE (1 – 9)

The Sine Rule

Instructions

• Use black ink or ball-point pen.

• Answer all questions.
• Answer the questions in the spaces provided
– there may be more space than you need.
• Diagrams are NOT accurately drawn, unless otherwise indicated.
• You must show all your working out.

Information

• The marks for each question are shown in brackets

– use this as a guide as to how much time to spend on each question.

Advice

• Read each question carefully before you start to answer it.

• Keep an eye on the time.
• Try to answer every question.
• Check your answers if you have time at the end

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1
100º

x cm

38º
13 cm
Work out the value of x.
Give your answer to 1 decimal place.

…..........................
(Total for question 1 is 3 marks)

B
2

5m

42º
A
53º
C

Work out the length of BC.

Give your answer to 3 significant figures.

…..........................m
(Total for question 2 is 3 marks)
 6.7 cm
3
xº

5.4 cm

95º
Work out the value of x.
Give your answer to 3 significant figures.

…..........................
(Total for question 3 is 3 marks)

10 m
4
60º

15 m

xº

Work out the size of angle x.

Give your answer to 3 significant figures.

…..........................
(Total for question 4 is 3 marks)
 A
5
55º

B 20º
12 cm C

Work out the length of AC.

Give your answer to 1 decimal place.

…..........................cm
(Total for question 5 is 3 marks)

A
6

14 m

B 43º
20 m C

Work out the size of angle BAC.

Give your answer to 3 significant figures.

…..........................o
(Total for question 6 is 3 marks)
7 65º
x cm
13 cm

40º

5 cm
Work out the value of x.
Give your answer to 1 decimal place.

…..........................
(Total for question 7 is 5 marks)
8

A
B
105º

13.1 m

48º
C
Work out the perimeter of triangle ABC.
Give your answer to 3 significant figures.

…..........................
(Total for question 8 is 4 marks)
9
A

82o

12 m

40o
C B

Work out the area of triangle ABC

Give your answer to 1 decimal place.

…..........................m2
(Total for question 9 is 5 marks)
 B
10

12 cm

A
35º
20 cm
C

Angle ABC is obtuse.

Work out the size of angle ABC.
Give your answer to 3 significant figures.

…..........................o
(Total for question 10 is 4 marks)