Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Shape and Space 3
17 practice questions
Practice questions
1–10 of 17
Question 1
1 mark · Easy
Answer and see the solution →In a right-angled triangle, which side is always opposite the right angle?
Question 2
2 marks · Easy
Answer and see the solution →Calculate the value of tan 45°. Give your answer to 3 significant figures.
Question 3
3 marks · Easy
Answer and see the solution →In the triangle below, calculate the length of side x.
Right-angled triangle Question 4
1 mark · Easy
Answer and see the solution →Which of the following ratios represents the 'tangent' of an angle θ in a right-angled triangle?
- A.
- B.
- C.
- D.
Question 5
3 marks · Easy
Answer and see the solution →A lamp post stands vertically. From a point 6 metres away from the base of the lamp post, the angle of elevation to the top of the lamp post is 35°.
(a)[1 mark]Write down the trigonometric ratio you would use to calculate the height of the lamp post.
(b)[2 marks]Calculate the height of the lamp post. Give your answer to 3 significant figures.
Question 6
3 marks · Normal
Answer and see the solution →A straight road runs up a hill at a constant angle with the horizontal. The road makes an angle of 18° with the horizontal and is 120 m long.
Calculate the height gained, correct to 3 significant figures.
Question 7
2 marks · Normal
Answer and see the solution →Write down the value of tan 60°. Give your answer correct to 3 significant figures.
Question 8
1 mark · Normal
Answer and see the solution →In the right-angled triangle below, which side is adjacent to angle ?
- A.AB
- B.BC
- C.AC
- D.CB
Question 9
4 marks · Normal
Answer and see the solution →A mobile phone mast is 48 m tall. From a point on level ground, the angle of elevation to the top of the mast is 40°.
(a)[3 marks]Calculate the distance from the point to the base of the mast, correct to 3 significant figures.
(b)[1 mark]Give a reason why the tangent ratio is suitable for this calculation.
Question 10
3 marks · Normal
Answer and see the solution →Work out the value of x in the triangle below. Give your answer correct to 3 significant figures.
PQ = 7 cm, angle R = 35°.