1. Histograms – Higher – GCSE Questions
These questions are the same format as previous GCSE exams.
COPY means they use the exact same numbers as the original GCSE question.
Otherwise, they are clone questions using different numbers.
The worksheets are provided in a variety of sizes.

2. Printing To print handouts from slides -
Select the slide from the left. Then click:
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To print multiple slides -
Click on a section title to highlight all those slides,
or press ‘Ctrl’ at the same time as selecting slides to
highlight more than one. Then click:
File > Print > ‘Print Selection’
To print double-sided handouts -
Highlight both slides before using ‘Print Selection’.
Choose ‘Print on Both Sides’ and ‘Flip on Short Edge’.

3. GCSE GCSE Edexcel Higher: November 2017 Paper 2, Q17
The table gives information about the height of 150 students. 1
The table gives information about the height of 150 students.
Height (h cm)
Frequency
130 < h ≤ 140 20
140 < h ≤ 145 25
145 < h ≤ 150 31
150 < h ≤ 155 53
155 < h ≤ 170 21
Height (h cm)
Frequency
130 < h ≤ 140 20
140 < h ≤ 145 25
145 < h ≤ 150 31
150 < h ≤ 155 53
155 < h ≤ 170 21
(a) On the grid, draw a histogram for this information.
(a) On the grid, draw a histogram for this information.
(3)
(3)
(b) Work out an estimate for the fraction of the students who have a
height between 140 cm and 160 cm.
(b) Work out an estimate for the fraction of the students who have a
height between 140 cm and 160 cm.
(2)
(2)
(Total for Question 1 is 5 marks)
(Total for Question 1 is 5 marks)

5. GCSE GCSE Edexcel Higher: June 2017 Paper 2, Q13
The histogram shows some information about the ages of the 122
members of a sports club. 1
The histogram shows some information about the ages of the 122
members of a sports club.
3.0
3.0
2.5
2.5
2.0
2.0
Frequency
Density
Frequency
Density
1.5
1.5
1.0
1.0
0.5
0.5 20 40 60 80
100 20 40 60 80
100
Age in years
Age in years
20% of the members of the sport club who are over 50 years of age are male.
Work out an estimate for the number of male members who
are over 50 years of age.
20% of the members of the sport club who are over 50 years of age are male.
Work out an estimate for the number of male members who
are over 50 years of age.
(3)
(3)
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)

7. GCSE GCSE Edexcel Higher: June 2018 Paper 2, Q17
The histogram shows information about the times taken for students
to run a race. 1
The histogram shows information about the times taken for students
to run a race. 1 1
0.8
0.8
Frequency
density
Frequency
density
0.6
0.6
0.4
0.4
0.2
0.2 10 20 40 50 60 70 10 20 40 50 60 70
Time taken (t minutes)
Time taken (t minutes)
(a) Complete the frequency table for this information
(a) Complete the frequency table for this information
Time taken (t minutes)
Frequency
0 < t ≤ 10
10 < t ≤ 20
20 < t ≤ 25 4
25 < t ≤ 55
55 < t ≤ 60
Time taken (t minutes)
Frequency
0 < t ≤ 10
10 < t ≤ 20
20 < t ≤ 25 4
25 < t ≤ 55
55 < t ≤ 60
(2)
(2)
(b) Find an estimate for the lower quartile of the times taken to finish the race.
(b) Find an estimate for the lower quartile of the times taken to finish the race.
minutes
minutes
(2)
(2)
(Total for Question 1 is 4 marks)
(Total for Question 1 is 4 marks)

9. GCSE Edexcel Higher: November 2017 Paper 2, Q17
The table gives information about the height of 150 students.
Height (h cm)
Frequency
130 < h ≤ 140 20
140 < h ≤ 145 25
145 < h ≤ 150 31
150 < h ≤ 155 53
155 < h ≤ 170 21
(a) On the grid, draw a histogram for this information.
(3)
(b) Work out an estimate for the fraction of the students who have a
height between 140 cm and 160 cm.
(2)
(Total for Question 1 is 5 marks)

10. GCSE Edexcel Higher: June 2017 Paper 2, Q13
The histogram shows some information about the ages of the 122
members of a sports club.
3.0
2.5
2.0
Frequency
Density
1.5
1.0
0.5 20 40 60 80
100
Age in years
20% of the members of the sport club who are over 50 years of age are male.
Work out an estimate for the number of male members who
are over 50 years of age.
(3)
(Total for Question 1 is 3 marks)

11. GCSE Edexcel Higher: June 2018 Paper 2, Q17
The histogram shows information about the times taken for students
to run a race. 1
0.8
Frequency
density
0.6
0.4
0.2 10 20 40 50 60 70
Time taken (t minutes)
(a) Complete the frequency table for this information
Time taken (t minutes)
Frequency
0 < t ≤ 10
10 < t ≤ 20
20 < t ≤ 25 4
25 < t ≤ 55
55 < t ≤ 60
(2)
(b) Find an estimate for the lower quartile of the times taken to finish the race.
minutes
(2)
(Total for Question 1 is 4 marks)

12. GCSE
Edexcel Higher: November 2017 Paper 2, Q17 1
The table gives information about the height of 150 students.
F ÷ width
width
Height (h cm)
Frequency
130 < h ≤ 140 20
140 < h ≤ 145 25
145 < h ≤ 150 31
150 < h ≤ 155 53
155 < h ≤ 170 21 10 2 5 5 5
6.2 5
10.6 15
1.4
(a) On the grid, draw a histogram for this information. 53 11 10 9 8 7 31
Frequency Density 6 25 5 4 3
3rd of the distance 2 1 20 7 14
(3)
130
140
150
160
170
Height (cm)
(b) Work out an estimate for the fraction of the students who have a
height between 140 cm and 160 cm.
58 75
= = 58 75
(2)
(Total for Question 1 is 5 marks)

13. GCSE
Edexcel Higher: June 2017 Paper 2, Q13 1
The histogram shows some information about the ages of the 122
members of a sports club.
3.0
2.8 x 10 = 28
2.5
1.8 x 20 = 36
2.0
Frequency
Density
1.5
1.1 x 20 = 22
1.0
0.8 x 30 = 24
1.2 x 10 = 12
0.5 11 24 20 40 50 60 80
100
Age in years
20% of the members of the sport club who are over 50 years of age are male.
Work out an estimate for the number of male members who
are over 50 years of age.
Over 50 = = 35
20% of 35 = 7 7
(3)
(Total for Question 1 is 3 marks)

14. GCSE
Edexcel Higher: June 2018 Paper 2, Q17 1
The histogram shows information about the times taken for students
to run a race. 1
0.8
Frequency
density
0.6
0.4
0.2 10 20 40 50 60 70
Time taken (t minutes)
(a) Complete the frequency table for this information
Time taken (t minutes)
Frequency
0 < t ≤ 10 6
10 < t ≤ 20 4
20 < t ≤ 25
25 < t ≤ 55 15
55 < t ≤ 60 2 10
8th = 6 + 2 10
Halfway 5 30 5
(2) 31
(b) Find an estimate for the lower quartile of the times taken to finish the race.
=8𝑡ℎ 𝑝𝑖𝑒𝑐𝑒 𝑜𝑓 𝑑𝑎𝑡𝑎 15
minutes
(2)
(Total for Question 1 is 4 marks)

15. tom@goteachmaths.co.uk Questions? Comments? Suggestions?
…or have you found a mistake!?
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