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Paper Reference(s)
1380/4H
Edexcel GCSE
Mathematics (Linear) 1380
Paper 4 (Calculator)
Histograms
Past Paper Questions
Arranged by Topic
Materials required for examination Items included with question papers
Ruler graduated in centimetres and Nil
millimetres, protractor, compasses,
pen, HB pencil, eraser, calculator.
Tracing paper may be used.
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Answer ALL the questions. Write your answers in the spaces provided in this question paper.
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Information for Candidates
The marks for individual questions and the parts of questions are shown in round brackets: e.g. (2).
There are 26 questions in this question paper. The total mark for this paper is 100.
There are 24 pages in this question paper. Any blank pages are indicated.
Calculators may be used.
If your calculator does not have a button, take the value of to be 3.142 unless the question instructs
otherwise.
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Paper Reference
1 3 8 0 4 H
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2
1. The incomplete histogram and table give some information about the times, in minutes,
that cars were parked in a car park.

0 20 40
Time (t minutes)
Frequency
density
60 80 100 120
(a) Use the information in the histogram to complete the frequency table.

Time (t minutes) Frequency
0 <t 30
30 <t 40
35
40 <t 60
60 <t 80
30
80 <t 120
20
(2)
(b) Use the information in the table to complete the histogram.
(2)
Q1
(Total 4 marks)
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2. A call centrereceives 64 telephone calls one morning.
The table gives information about the lengths, in minutes, of these telephone calls.
Length (x) minutes Frequency
0 <x 5
4
5 <x 15
10
15 <x 30
24
30 <x 40
20
40 <x 45
6
Draw a histogram for this information.
Length (minutes)
10 20 30 40 50 0
Q2
(Total 4 marks)
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3. The incomplete histogram and table show information about the weights of some
containers.
Weight (w) in kg Frequency
0 <w 1000
16
1000 <w 2000
2000 <w 4000
4000 <w 6000
16
6000 <w 8000
8000 <w 12000
8
(a) Use the information in the histogram to complete the table.
(2)
(b) Use the information in the table to complete the histogram.
(2)
Q3
(Total 4 marks)
0
Frequency
density
Weight (w) in kg
2000 4000 6000 8000 10000 12000
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4. The incomplete histogram and table give some information about the distances some
teachers travel to school.
(a) Use the information in the histogram to complete the frequency table.
Distance (d km) Frequency
0 <d 5
15
5 <d 10
20
10 <d 20
20 <d 40
40 <d 60
10
(2)
(b) Use the information in the table to complete the histogram.
(1) Q4
(Total 3 marks)
10 0 20 30
Distance (d km)
Frequency
density
40 50 60
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5. Tom asked the students in his class how many hours they watched television last week.
The incomplete histogram was drawn using his results.
0 5 10 15 20 25 30
Frequency
density
Hours watched
Eight students watched television for between 10 and 15 hours.
Six students watched television for between 0 and 10 hours.
(a) Use this information to complete the histogram.
(2)
No students watched television for more than 30 hours.
(b) Work out how many students Tom asked.
.....................................
(2)
Q5
(Total 4 marks)
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6. Some trains from Manchester to London were late.
The incomplete table and histogram gives some information about how late the trains
were.
Minutes late (t) Frequency
0 <t 5
16
5 <t 10
10
10 <t 20
20 <t 30
30 <t 50
8
Frequency
density
Minutes late (t)
0 10 20 30 40 50
(a) Use the information in the histogram to complete the table.
(2)
(b) Use the information in the table to complete the histogram.
(2) Q6
(Total 4 marks)
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7. The incomplete table and histogram give some information about the weights of people at
a keep-fit session.
Use the information in the histogram to complete the frequency table.
Weight (w) kg Frequency
40 w < 50
10
50 w < 55
55 w < 60
60 w < 75
15
75 w < 95
8
Q7
(Total 2 marks)
Frequency
density
40 50 60 70 80 90 100
weight (w) kg
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8. The incomplete table and histogram give some information about the heights (in cm) of
some sunflowers.
Height (h cm) Frequency
100 < h 130
30
130 < h 150
150 < h 160
160 < h 180
40
180 < h 210
18
Frequency
density
Height (h cm)
0
100 120 140 160
180 200 220
(a) Use the histogram to complete the table.
(2)
(b) Use the table to complete the histogram.
(2) Q8
(Total 4 marks)
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9. The table and histogram show information about the length of time it took 165 adults to
connect to the internet.
Time (t seconds) Frequency
17.0 < t < 10 20
.510 < t < 15
.51.15 < t < 17.5 30
17.5 < t < 20 40
.520 < t < 25
.525 < t < 40
None of the adults took more than 40 seconds to connect to the internet.
(a) Use the table to complete the histogram.
(2)
(b) Use the histogram to complete the table.
(2)
5 10 15 20 25 30 35 40
Time (seconds)
Frequency
density
O
2003
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The histogram shows information about the time it took some children to connect to the
internet.
None of the children took more than 40 seconds to connect to the internet.
110 children took up to 12.5 seconds to connect to the internet.
(c) Work out an estimate for the number of children who took 21 seconds or more to
connect to the internet.
.........................................
(3)
(Total 7 marks)
5 10 15 20 25 30 35 40
Time (seconds)
Frequency
density
Q9
O
2004
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