AQA GCSE Maths

Topic Questions

Histograms

1
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3 marks

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

Height(bold italic h metres) Frequency
0 less than h less-than or slanted equal to 2 7
2 less than h less-than or slanted equal to 4 14
4 less than h less-than or slanted equal to 8 18
8 less than h less-than or slanted equal to 16 24
16 less than h less-than or slanted equal to 20 10

Draw a histogram to show this information.

q1-medium-6-3-histograms-edexcel-gcse-maths

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2
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3 marks

Bill works for a computer service centre.

The table shows some information about the length of time, t minutes, of the phone calls Bill had.

Time( bold italic t minutes)  0 less than t less-than or slanted equal to 10 10 less than t less-than or slanted equal to 15 15 less than t less-than or slanted equal to 20 20 less than t less-than or slanted equal to 30 30 less than t less-than or slanted equal to 45
Number of calls 12 15 13 18 3

On the grid, draw a histogram to show this information.

q2-medium-6-3-histograms-edexcel-gcse-maths

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3
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3 marks

The table gives information about the lengths of time some people were in a supermarket.

Time( bold italic t minutes) Frequency
0 less than t less-than or slanted equal to 5 8
5 less than t less-than or slanted equal to 15 32
15 less than t less-than or slanted equal to 30 36
30 less than t less-than or slanted equal to 40 18
40 less than t less-than or slanted equal to 60 6

Draw a histogram for the information in the table.

q3-medium-6-3-histograms-edexcel-gcse-maths

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4
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2 marks

Bhavna recorded the lengths of time, in hours, that some adults watched TV last week.

The table shows information about her results.

Length of time(bold italic t hours) Frequency
0 less-than or slanted equal to t less than 10 6
10 less-than or slanted equal to t less than 15 8
15 less-than or slanted equal to t less than 20 15
20 less-than or slanted equal to t less than 40 5

Bhavna made some mistakes when she drew a histogram for this information.

q4-medium-6-3-histograms-edexcel-gcse-maths

Write down two mistakes Bhavna made.

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5a
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4 marks

The table gives some information about the lengths of time, in hours, that some adults watched TV last week.

Length of time(bold italic t hours) Frequency
0 less-than or slanted equal to t less than 10 8
10 less-than or slanted equal to t less than 15 15
15 less-than or slanted equal to t less than 20 11
20 less-than or slanted equal to t less than 30 10
30 less-than or slanted equal to t less than 50
6

Work out an estimate for the mean length of time.

5b
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3 marks

Draw a histogram for the information in the table.

q5b-medium-6-3-histograms-edexcel-gcse-maths

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6
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4 marks

Here is some information about the ages of babies at a clinic.

Age, space x space(weeks) Frequency    
0 space less-than or slanted equal to space x space less than space 5 18    
5 space less-than or slanted equal to space x space less than space 10 space 23    
10 space less-than or slanted equal to space x space less than space 20 17    
20 space less-than or slanted equal to space x space less than space 50 21    


Draw a histogram to represent the information.

q21-paper-3h-nov-2021-aqa-gcse-maths

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7
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4 marks

200 people recorded the time they spent on social media one day.

The table shows the results.

Time, t (mins) Frequency Class width  
0 space less-than or slanted equal to space t space less than space 30 24    
30 space less-than or slanted equal to space t space less than space 50 76    
50 space less-than or slanted equal to space t space less than space 60 52    
60 space less-than or slanted equal to space t space less than space 90 48    

Draw a histogram to represent the results.

q13b-paper-2h-nov-2019-aqa-gcse-maths

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8
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3 marks

Here is some information about the ages of people at a concert.

Age, bold space bold italic x bold space (years) Frequency
10 space less-than or slanted equal to space x space less than space 15 8
15 space less-than or slanted equal to space x space less than space 25 24
25 space less-than or slanted equal to space x space less than space 40 30
40 space less-than or slanted equal to space x space less than space 70 39

Draw a histogram to represent the information.

q18-paper-3h-nov-2018-aqa-gcse-maths

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9a
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3 marks

Manuel collected information about the flights that arrived late at an airport last month.

The table gives information about the number of minutes that these flights were late.

Minutes late (bold italic L minutes) Frequency
0 space less than space L space less-than or slanted equal to space 10 8
10 space less than space L space less-than or slanted equal to space 15 13
15 space less than space L space less-than or slanted equal to space 25 19
25 space less than space L space less-than or slanted equal to space 40 24
40 space less than space L space less-than or slanted equal to space 60 6

On the grid, draw a histogram for this information.

q14a-4ma1-2h-qp-nov21-paper2-igcse-maths

9b
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2 marks

Manuel selected at random a flight that was late by 25 minutes or less from his results.

Work out an estimate for the probability that this flight was late by 5 minutes or less.

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10a
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3 marks

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

Height (bold italic h cm) Frequency
10 space less than space h space less-than or slanted equal to space 20 35
20 space less than space h space less-than or slanted equal to space 35 45
35 space less than space h space less-than or slanted equal to space 50 75
50 space less than space h space less-than or slanted equal to space 70 40
70 space less than space h space less-than or slanted equal to space 80 8

On the grid, draw a histogram for this information.

q18a-paper1h-nov2020-edexcel-igcse-maths

10b
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2 marks

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

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11
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3 marks

The table gives information about the heights of some trees.

Height (bold italic h metres) Frequency
0 space less than space h space less-than or slanted equal to space 20 15
20 space less than space h space less-than or slanted equal to space 35 48
35 space less than space h space less-than or slanted equal to space 40 21
40 space less than space h space less-than or slanted equal to space 50 16

On the grid, draw a histogram for this information.

mXsY48vX_q19-paper1h-june2019-edexcel-igcse-maths

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12
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4 marks

Ceri records the time taken, t minutes, to travel to school for a sample of 168 students at her Academy.

Time taken
(bold italic t minutes)
Frequency
0 space less than space t space less-than or slanted equal to space 10 54
10 space less than space t space less-than or slanted equal to space 20 50
20 space less than space t space less-than or slanted equal to space 40 44
40 space less than space t space less-than or slanted equal to space 80 20

Draw a histogram to represent this information.

q19a-paper5-june2018-ocr-gcse-maths

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