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Edexcel IGCSE Maths

Topic questions Statistics Histograms

Histograms

18 questions · 68 marks · about 1.5 hours

Histograms questions

Edexcel 4MA1 Histograms 18 questions

Paper 1H June 2025 Higher tier, Question 17 3 marks

The histogram shows information about the times, in minutes, that some people were in

Figure for question 17

Work out an estimate for the proportion of these people who were in the shop for more than 40 minutes.

[3]
Reveal mark scheme Mark scheme for question 17

Paper 1H June 2024 (R) Higher tier, Question 16 3 marks

The table gives information about the heights, in metres, of the trees in a park.

Height (h metres)Frequency
0 < h 25
2 < h 512
5 < h 1018
10 < h 2014
20 < h 359

On the grid, draw a histogram for this information.

Figure for question 16
[3]
Reveal mark scheme Mark scheme for question 16

Paper 1H June 2024 Higher tier, Question 22 3 marks

The incomplete histogram shows some information about the distances, in kilometres, that 100 adults ran last week.

Figure for question 22

All of the adults ran at least 5 kilometres. None of the adults ran more than 55 kilometres. 14 adults ran between 15 kilometres and 20 kilometres.

Complete the histogram.

[3]
Reveal mark scheme Mark scheme for question 22

Paper 1H November 2023 Higher tier, Question 17 3 marks

The histogram gives information about the weights, in grams, of some oranges in a box.

Figure for question 17

24 of these oranges weigh less than 20 grams.

Medium oranges weigh between 35 grams and 55 grams.

Work out an estimate for the number of medium oranges in the box.

[3]
Reveal mark scheme Mark scheme for question 17

Paper 1H June 2023 Higher tier, Question 18 4 marks

The incomplete table and incomplete histogram give information about the times, in minutes, that 140 people waited at a station for a train.

Figure for question 18

Complete the table and the histogram.

[4]
Reveal mark scheme Mark scheme for question 18

Paper 1H June 2023 (R) Higher tier, Question 22 4 marks

Some people attend a concert. The histogram shows information about the ages of these people.

Figure for question 22

Work out an estimate for the percentage of these people who are aged more than 55 years. Give your answer correct to one decimal place.

[4]
Reveal mark scheme Mark scheme for question 22

Paper 2H January 2023 (R) Higher tier, Question 17 5 marks

The table gives information about the time taken by each student in Year 11 to complete a homework task.

Time taken (t minutes)Frequency
10 t 2515
25 t 3018
30 t 5032
50 t 604
(a)

On the grid, draw a histogram for this information.

Figure for question 17
[3]
Reveal mark scheme Mark scheme for question 17(a)
(b)

One of these students who took 50 minutes or less and more than 25 minutes to complete this homework task is chosen at random.

Find an estimate for the probability that this student took 45 minutes or less to complete this homework task.

[2]
Reveal mark scheme Mark scheme for question 17(b)

Paper 2H January 2023 Higher tier, Question 18 5 marks

Also involves Probability

The table gives information about the weights, in kg, of the parcels that Pedro delivers on Monday.

Weight (wkg)Frequency
0 w 212
2 w 37
3 w 615
6 w 912
9 w 149
(a)

On the grid, draw a histogram for this information.

Figure for question 18
[3]
Reveal mark scheme Mark scheme for question 18(a)
(b)

One of the parcels that Pedro delivered on Monday is chosen at random.

Using the information in the table, find an estimate for the probability that this parcel weighs more than 7 kg.

[2]
Reveal mark scheme Mark scheme for question 18(b)

Paper 1H June 2022 (R) Higher tier, Question 19 3 marks

Also involves Forming and solving equations

The histogram gives information about the height, h cm, of each tree in part of a forest.

Figure for question 19

There are no trees for which h maths symbol 200 and for which h maths symbol 800 The number of trees for which 300 < h maths symbol 400 is 8 fewer than the number of trees for which 400 < h maths symbol 500 Work out an estimate for the number of trees in this part of the forest that have a height greater than 500 cm.

[3]
Reveal mark scheme Mark scheme for question 19

Paper 1H June 2022 Higher tier, Question 21 3 marks

The histogram shows information about the total time, m minutes, taken by each child in a school to walk to school every day for one week.

Figure for question 21

There are no children for whom m maths symbol 100 There are 10 children for whom m maths symbol 20 Work out an estimate for the number of children for whom 50 maths symbol m โ‰ค 80

[3]
Reveal mark scheme Mark scheme for question 21

Paper 2H January 2022 Higher tier, Question 20 4 marks

The histogram gives information about the heights, h cm, of some tomato plants.

Figure for question 20

There are 12 tomato plants for which 75 < h maths symbol 85 One of the tomato plants is selected at random.

Find an estimate for the probability that this tomato plant has a height greater than 82.5 cm

[4]
Reveal mark scheme Mark scheme for question 20

Paper 1H January 2021 (R) Higher tier, Question 18 5 marks

Also involves Rounding

The histogram and the table give some information about the amounts of time, in hours, that Year 11 students at Bergdesh Academy spent, in total, on their homework last week. No student in Year 11 spent longer than 9 hours on their homework.

Question 18, shown as an image

Time spent on homework (t hours)

Figure for question 18

Using the information in the histogram and in the table, work out an estimate for the mean amount of time the Year 11 students spent on their homework last week. Give your answer in hours correct to 3 significant figures.

[5]
Reveal mark scheme Mark scheme for question 18

Paper 1H November 2020 Higher tier, Question 18 5 marks

The table gives information about the heights, in centimetres, of some plants.

Height (h cm)Frequency
10 h 2035
20 h 3545
35 h 5075
50 h 7040
70 h 808
(a)

On the grid, draw a histogram for this information.

Figure for question 18
[3]
Reveal mark scheme Mark scheme for question 18(a)
(b)

Work out an estimate for the number of these plants with a height greater than 40 cm.

[2]
Reveal mark scheme Mark scheme for question 18(b)

Paper 1H January 2020 (R) Higher tier, Question 19 4 marks

Figure for question 19

The histogram gives information about the heights of all the Year 11 students at a school.

There are 160 students in Year 11 with a height between 155 cm and 170 cm.

Work out the total number of students in Year 11 at the school.

[4]
Reveal mark scheme Mark scheme for question 19

Paper 1H June 2019 (R) Higher tier, Question 17 5 marks

Also involves Probability

The histogram shows information about the ages of all the passengers travelling on a plane. No one on the plane is older than 80 years.

Figure for question 17

24 passengers on the plane are aged between 40 years and 60 years.

(a)

Work out the total number of passengers on the plane.

[3]
Reveal mark scheme Mark scheme for question 17(a)
(b)

A passenger on the plane is picked at random.

Work out an estimate for the probability that this person is older than 55 years.

[2]
Reveal mark scheme Mark scheme for question 17(b)

Paper 1H June 2019 Higher tier, Question 19 3 marks

The table gives information about the heights of some trees.

Height (h metres)Frequency
0 h 2015
20 h 3548
35 h 4021
40 h 5016

On the grid, draw a histogram for this information.

Figure for question 19
[3]
Reveal mark scheme Mark scheme for question 19

Paper 1H June 2018 (R) Higher tier, Question 17 3 marks

The table gives information about the areas, in hectares, of some farms in Spain.

Area (A hectares)Frequency
0 A 2040
20 A 5090
50 A 100140
100 A 300140
300 A 35040

On the grid, draw a histogram for this information.

Figure for question 17
[3]
Reveal mark scheme Mark scheme for question 17

Paper 2H June 2018 Higher tier, Question 20 3 marks

The histogram shows information about the birth weights of some babies.

Figure for question 20

6 of these babies had a birth weight less than 2.5 kg or greater than 4 kg.

Work out the number of babies who had a birth weight between 2.5 kg and 4 kg.

[3]
Reveal mark scheme Mark scheme for question 20

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