Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 3
104 practice questions
Topics covered
Practice questions
21–30 of 36 · Easy
Question 21
1 mark · Easy
Answer and see the solution →A distance–time graph shows a curved line that becomes less steep over time. What does this tell you about the object's movement?
Question 22
1 mark · Easy
Answer and see the solution →In a right-angled triangle, which side is always opposite the right angle?
Question 23
2 marks · Easy
Answer and see the solution →Calculate the value of tan 45°. Give your answer to 3 significant figures.
Question 24
3 marks · Easy
Answer and see the solution →In the triangle below, calculate the length of side x.
Right-angled triangle Question 25
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 26
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 27
2 marks · Easy
Answer and see the solution →The table shows the scores obtained by students in a quick science quiz.
Score (x) Frequency (f) 1 3 2 6 3 7 4 4 (a)[2 marks]Work out the mean score.
Question 28
2 marks · Easy
Answer and see the solution →The heights, in metres, of a random sample of 12 plants are grouped as shown.
Heights of plants Height (h, m) Frequency 0.5 ≤ h < 1.0 2 1.0 ≤ h < 1.5 6 1.5 ≤ h < 2.0 4 (a)[1 mark]Write down the modal class.
(b)[1 mark]What is the group containing the median height?
Question 29
2 marks · Easy
Answer and see the solution →The incomplete frequency table shows the number of books read by students in a month.
Number of books (x) Frequency (f) 0 4 1 9 2 ? 3 7 (a)[1 mark]If 25 students were surveyed, work out the missing frequency.
(b)[1 mark]Write down the mode.
Question 30
2 marks · Easy
Answer and see the solution →The table shows the number of books read by each of 15 students in a month.
Number of books read (x) Frequency (f) 0 1 1 5 2 4 3 3 4 2 (a)[2 marks]Work out the mean number of books read.