Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 2
105 practice questions
Topics covered
Practice questions
81–90 of 105
Question 81
3 marks · Normal
Answer and see the solution →A magazine states, 'On average, students in our school have 2.8 siblings.'
Explain what this statement means. Why might the mean not be the best average to use for this data?
Question 82
2 marks · Normal
Answer and see the solution →Holly’s test scores for 6 science quizzes are: 8, 12, 17, 10, 13, 10.
Calculate the mean score.
Question 83
1 mark · Normal
Answer and check →Which of these graphs is most suitable for displaying categorical data?
- A.Line graph
- B.Bar chart
- C.Scatter diagram
- D.Frequency polygon
Question 84
2 marks · Normal
Answer and see the solution →A teacher drew two bar charts for the same data, but started the vertical axis at 400 and at 0 respectively. What effect does starting the axis at 400 instead of 0 have on the impression given by the chart?
Question 85
3 marks · Hard
Answer and see the solution →A pie chart is used to show the distribution of favourite types of movies chosen by 60 students at a school. The angles for three out of four sections are given below:
Pie Chart Angles for Movie Types Genre Angle Action 120° Comedy 90° Animation 60° Drama ? Work out the number of students who selected 'Drama' as their favourite genre and explain clearly how you found your answer.
Question 86
5 marks · Hard
Answer and see the solution →A group of 25 students were each asked how many books they had read in the last month. Their responses are summarised below:
(a)[2 marks]Construct a tally chart for the following data about the number of books read:
- Student 1–5
- 0, 2, 1, 2, 3
- Student 6–10
- 4, 2, 1, 0, 2
- Student 11–15
- 3, 2, 2, 5, 1
- Student 16–20
- 2, 3, 3, 2, 4
- Student 21–25
- 1, 2, 0, 3, 2
Books read by each student
(b)[2 marks]State both the mode and the median number of books read.
(c)[1 mark]Based on your tally chart, comment briefly on the reading habits of this group.
Question 87
4 marks · Hard
Answer and see the solution →The table shows the number of drinks of each type sold at a café in one day.
Drink Number sold Tea 28 Coffee 42 Hot chocolate 14 Smoothie 16 (a)[1 mark]Calculate the percentage of total drinks sold that were coffee.
(b)[2 marks]Draw an accurate bar chart to display this information. Clearly label your axes.
(c)[1 mark]Suggest a suitable average to summarise the number of each drink sold, giving a reason based on the data.
Question 88
5 marks · Hard
Answer and see the solution →A television station surveyed 120 viewers about their favourite type of programme: Sports, News, Drama, or Comedy. Their results are summarised as follows:
Programme type Frequency Sports 37 News 19 Drama 46 Comedy 18 (a)[1 mark]Calculate the mean number of viewers per programme type.
(b)[2 marks]The head of the station claims the survey shows most viewers like Drama. Is this justified? Support your answer with calculations.
(c)[2 marks]If the station wants to advertise to the largest possible audience, which average should they use and why?
Question 89
4 marks · Easy
Answer and see the solution →A right-angled triangle has side lengths 3 cm and 4 cm. The third side is the hypotenuse. Use Pythagoras' theorem to find its length. Then, write your answer in standard form.
(a)[2 marks]Work out the length of the hypotenuse.
(b)[2 marks]Express your answer to part (a) in standard form.
Question 90
4 marks · Easy
Answer and see the solution →Write 0.00052 in standard form. Then, substitute x = 4 into the expression .
(a)[2 marks]Express 0.00052 in standard form.
(b)[2 marks]Work out the value of when .