Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 9
105 practice questions
Topics covered
Practice questions
71–80 of 105
Question 71
2 marks · Easy
Answer and see the solution →The grouped frequency table below shows the masses of apples in a box.
Mass (g) Frequency 60 < m ≤ 80 6 80 < m ≤ 100 18 100 < m ≤ 120 12 Calculate the frequency density for the 80 < m ≤ 100 class.
Question 72
2 marks · Easy
Answer and see the solution →A histogram displays the time (in minutes) customers spend in a shop. The bar for 0–10 minutes has a frequency density of 3, and the bar for 10–30 minutes has a frequency density of 2.
Which interval contains more customers? Explain your answer.
Question 73
3 marks · Easy
Answer and see the solution →The frequency table below shows the time (in minutes) spent by people waiting at a station.
Waiting time (min) Frequency 0 < t ≤ 2 5 2 < t ≤ 5 15 5 < t ≤ 10 20 Complete the table below to include the class widths and frequency densities for each group.
Complete the missing values. Waiting time (min) Frequency Class width Frequency density 0 < t ≤ 2 5 2 < t ≤ 5 15 5 < t ≤ 10 20 Question 74
1 mark · Easy
Answer and see the solution →A histogram shows a bar for 20 < x ≤ 40 with frequency density 2 and class width 20. What is the frequency for this bar?
Question 75
1 mark · Easy
Answer and see the solution →Here are two histograms showing the heights of plants in two different greenhouses, A and B.
Histogram for Greenhouse A Histogram for Greenhouse B Which greenhouse has more plants with heights between 40 cm and 60 cm? Write your answer: Greenhouse A or Greenhouse B.
Question 76
3 marks · Easy
Answer and see the solution →The histograms show the test scores of two different classes in a maths test.
Histogram for Class X Histogram for Class Y (a)[1 mark]Which class had more students scoring between 40% and 70%?
(b)[1 mark]Which class has the largest number of students with low scores (0–40%)?
(c)[1 mark]Which class has the most even spread of scores? Give a reason for your answer.
Question 77
2 marks · Easy
Answer and see the solution →Two histograms represent the test marks for two different science groups, P and Q. The modal class for Group P is 30–50 marks and for Group Q is 70–90 marks.
Which group performed better overall? Write the modal class of the better performing group and explain why it shows better overall performance.
Question 78
2 marks · Normal
Answer and see the solution →A grouped frequency table shows the lengths of sticks (in cm), grouped as follows:
Length (cm) Frequency 10 < l \leq 15 5 15 < l \leq 20 8 20 < l \leq 25 7 What does the area of each bar in a histogram drawn for this data represent?
Question 79
3 marks · Normal
Answer and see the solution →The table shows the time (in minutes) spent online by a group of students one evening.
Time (minutes) Frequency 0 < t \leq 10 4 10 < t \leq 20 16 20 < t \leq 40 20 The first bar on the corresponding histogram has a width of 10 units and a height of 0.4. Work out the frequency density for each group and use them to find the height of the second bar.
Question 80
4 marks · Normal
Answer and see the solution →The grouped frequency table shows the masses of parcels delivered in one day.
(a)[2 marks]Complete the following table by calculating the class width and the frequency density for each group.
Mass (kg) Frequency Class width Frequency density 0 < m \leq 2 10 2 < m \leq 5 24 5 < m \leq 9 16 (b)[2 marks]Use your table to draw a histogram for this data. Label your axes clearly.