Name: ___________________________
IGCSE -
TRIGONOMETRY
COSINE RULE-QP
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
1
100º
13 cm 10 cm
x 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
7m C
Work out the length of BC.
Give your answer to 3 significant figures.
…..........................m
(Total for question 2 is 3 marks)
A
3
15 cm
B 20º
12 cm C
Work out the length of AB.
Give your answer to 1 decimal place.
…..........................cm
(Total for question 3 is 3 marks)
A
4
xm 5.3 m
B 43º
6.2 m C
Work out the value of x.
Give your answer to 3 significant figures.
…..........................
(Total for question 4 is 3 marks)
5 xº
15 cm 16 cm
20 cm
Work out the value of x.
Give your answer to 3 significant figures.
…..........................
(Total for question 5 is 3 marks)
A
6
10 m
5m
B C
9m
Work out the size of angle ABC
Give your answer to the nearest degree.
…..........................o
(Total for question 6 is 3 marks)
7
xº
21 cm 13 cm
24 cm
Work out the value of x.
Give your answer to 1 decimal place.
…..........................
(Total for question 7 is 3 marks)
B
8
5.2 m
6.9 m
7.3 m C
Work out the size of angle BAC.
Give your answer to 3 significant figures.
…..........................o
(Total for question 8 is 3 marks)
9
10 cm
40º
xº
13 cm
5 cm
Work out the value of x.
Give your answer to 1 decimal place.
…..........................
(Total for question 9 is 5 marks)
10
(x + 2) 73
60º
(2x – 3)
Work out the value of x.
…..........................
(Total for question 10 is 5 marks)
A
11
15.4 m
19.7 m
B C
The area of the triangle is 100m2
Calculate the perimeter of triangle ABC.
Give your answer to 3 significant figures.
…..........................m
(Total for question 11 is 5 marks)
