Fixed anti-copying papers A–J. The one-page answer key is a separate file. Use the Print button, top right.
Histograms · MCQ assessment
Version A
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1The table shows the height of some plants. Work out the frequency density of the class $10 < h \le 30$.
Height, h (cm)
Frequency
0 < h ≤ 10
25
10 < h ≤ 30
40
30 < h ≤ 40
15
40 < h ≤ 60
10
A2B1.33C4D40
2In a histogram, the class $10 < h \le 25$ has a frequency of 30. Work out the frequency density for this class.
A2B4C1.2D30
3The table shows the height of some plants. Work out the frequency density of the class $40 < h \le 50$.
Height, h (cm)
Frequency
0 < h ≤ 10
20
10 < h ≤ 20
15
20 < h ≤ 40
10
40 < h ≤ 50
30
A3B6C30D0.6
4In a histogram, the class $50 < h \le 65$ has a frequency of 45. Work out the frequency density for this class.
A3B6C45D0.69
5The table shows the height of some plants. Work out the frequency density of the class $15 < h \le 25$.
Height, h (cm)
Frequency
0 < h ≤ 5
5
5 < h ≤ 15
15
15 < h ≤ 25
25
25 < h ≤ 30
15
30 < h ≤ 40
25
A5B25C2.5D1
6A histogram is to be drawn for this data. Work out the height (frequency density) of the bar for the class $40 < t \le 60$.
Time, t (min)
Frequency
0 < t ≤ 10
30
10 < t ≤ 30
20
30 < t ≤ 40
15
40 < t ≤ 60
60
A3B1.5C60D1
7The histogram shows the height of some plants. Estimate how many had a height between 30 and 40 cm.
A8B15C0.5D5
8The histogram and table show the same data. Use the histogram to find the missing frequency for the class $30 < h \le 40$.
Height, h (cm)
Frequency
0 < h ≤ 20
40
20 < h ≤ 30
15
30 < h ≤ 40
?
40 < h ≤ 50
30
A2.5B35C25D15
9A histogram is to be drawn for this data. Work out the height (frequency density) of the bar for the class $30 < s \le 40$.
Speed, s (mph)
Frequency
0 < s ≤ 10
25
10 < s ≤ 30
30
30 < s ≤ 40
5
40 < s ≤ 60
50
A0.13B0.25C0.5D5
10The histogram shows the speed of some cars. Estimate how many had a speed between 40 and 50 mph.
A3B30C45D40
11The histogram and table show the same data. Use the histogram to find the missing frequency for the class $10 < t \le 20$.
Time, t (min)
Frequency
0 < t ≤ 10
25
10 < t ≤ 20
?
20 < t ≤ 40
50
40 < t ≤ 50
30
A25B15C35D2.5
12The histogram shows the speed of some cars. Estimate the percentage of cars with a speed between 0 and 30 mph.
A20B80C0.8D60
13The histogram shows the speed of 80 cars. The cars are placed in order of speed. Estimate the speed of the 55th one.
A30B20C35D40
14The histogram shows the time of runners. The scale on the frequency density axis is missing. There are 170 runners altogether. Work out how many runners are in the class $20 < t \le 30$.
A10B34C22D20
15The histogram shows the height of 90 plants. Estimate the percentage of plants with a height of more than 20 cm, by taking half of the 10–30 bar.
A66.7B88.9C120D44.4
How confident do you feel on this topic now?RedAmberGreen
Histograms · MCQ assessment
Version B
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1In a histogram, the class $30 < w \le 40$ has a frequency of 15. Work out the frequency density for this class.
A3B1.5C0.38D15
2The table shows the speed of some cars. Work out the frequency density of the class $40 < s \le 50$.
Speed, s (mph)
Frequency
0 < s ≤ 10
20
10 < s ≤ 20
20
20 < s ≤ 40
50
40 < s ≤ 50
10
A0.2B1C10D2
3In a histogram, the class $50 < h \le 65$ has a frequency of 30. Work out the frequency density for this class.
A4B30C0.46D2
4The table shows the height of some plants. Work out the frequency density of the class $15 < h \le 20$.
Height, h (cm)
Frequency
0 < h ≤ 10
20
10 < h ≤ 15
10
15 < h ≤ 20
10
20 < h ≤ 30
10
30 < h ≤ 50
10
A10B4C2D0.5
5In a histogram, the class $30 < t \le 38$ has a frequency of 12. Work out the frequency density for this class.
A12B0.32C3D1.5
6The histogram and table show the same data. Use the histogram to find the missing frequency for the class $15 < h \le 20$.
Height, h (cm)
Frequency
0 < h ≤ 10
15
10 < h ≤ 15
15
15 < h ≤ 20
?
20 < h ≤ 30
5
30 < h ≤ 50
10
A15B10C2D5
7A histogram is to be drawn for this data. Work out the height (frequency density) of the bar for the class $30 < s \le 40$.
Speed, s (mph)
Frequency
0 < s ≤ 20
40
20 < s ≤ 30
10
30 < s ≤ 40
25
40 < s ≤ 50
15
A0.63B25C2.5D1.25
8The histogram shows the time of some runners. Estimate how many had a time between 20 and 30 min.
A10B15C20D1
9The histogram and table show the same data. Use the histogram to find the missing frequency for the class $10 < h \le 15$.
Height, h (cm)
Frequency
0 < h ≤ 10
25
10 < h ≤ 15
?
15 < h ≤ 20
10
20 < h ≤ 30
5
30 < h ≤ 50
50
A5B15C10D2
10A histogram is to be drawn for this data. Work out the height (frequency density) of the bar for the class $30 < h \le 40$.
Height, h (cm)
Frequency
0 < h ≤ 5
15
5 < h ≤ 15
25
15 < h ≤ 25
20
25 < h ≤ 30
20
30 < h ≤ 40
25
A2.5B0.63C1.25D25
11The histogram shows the weight of some parcels. Estimate how many had a weight between 40 and 50 kg.
A1B10C15D20
12The histogram shows the height of some plants. Estimate the percentage of plants with a height between 10 and 40 cm.
A0.64B36C80D64
13The histogram shows the time of 90 runners. Estimate the median time.
A50B30C32D40
14On a histogram, the bar for $20 < s \le 30$ is taller than the bar for $30 < s \le 40$. The first class has frequency density 3 and the second has frequency density 1. Work out the total number of cars in these two classes.
A20B40C30D10
15The histogram shows the time of 130 runners. The runners are placed in order of time. Estimate the time of the 100th one.
A30B40C50D45
How confident do you feel on this topic now?RedAmberGreen
Histograms · MCQ assessment
Version C
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1In a histogram, the class $30 < t \le 34$ has a frequency of 6. Work out the frequency density for this class.
A6B1.5C0.18D3
2The table shows the weight of some parcels. Work out the frequency density of the class $5 < w \le 15$.
Weight, w (kg)
Frequency
0 < w ≤ 5
10
5 < w ≤ 15
5
15 < w ≤ 25
10
25 < w ≤ 30
5
30 < w ≤ 40
5
A5B1C0.5D0.33
3In a histogram, the class $20 < w \le 28$ has a frequency of 20. Work out the frequency density for this class.
A5B2.5C0.71D20
4The table shows the weight of some parcels. Work out the frequency density of the class $30 < w \le 40$.
Weight, w (kg)
Frequency
0 < w ≤ 10
5
10 < w ≤ 30
20
30 < w ≤ 40
10
40 < w ≤ 60
20
A10B0.25C2D1
5In a histogram, the class $30 < t \le 40$ has a frequency of 25. Work out the frequency density for this class.
A0.63B2.5C25D5
6The histogram shows the weight of some parcels. Estimate how many had a weight between 30 and 40 kg.
A35B25C38D2.5
7The histogram and table show the same data. Use the histogram to find the missing frequency for the class $0 < t \le 10$.
Time, t (min)
Frequency
0 < t ≤ 10
?
10 < t ≤ 30
50
30 < t ≤ 40
5
40 < t ≤ 60
10
A20B40C3D30
8A histogram is to be drawn for this data. Work out the height (frequency density) of the bar for the class $30 < s \le 40$.
Speed, s (mph)
Frequency
0 < s ≤ 5
15
5 < s ≤ 15
5
15 < s ≤ 25
15
25 < s ≤ 30
10
30 < s ≤ 40
15
A15B0.75C0.38D1.5
9The histogram shows the speed of some cars. Estimate how many had a speed between 40 and 50 mph.
A0.5B5C8D15
10The histogram and table show the same data. Use the histogram to find the missing frequency for the class $40 < w \le 50$.
Weight, w (kg)
Frequency
0 < w ≤ 10
5
10 < w ≤ 20
15
20 < w ≤ 40
40
40 < w ≤ 50
?
A2.5B15C25D35
11A histogram is to be drawn for this data. Work out the height (frequency density) of the bar for the class $40 < w \le 50$.
Weight, w (kg)
Frequency
0 < w ≤ 10
20
10 < w ≤ 20
25
20 < w ≤ 40
60
40 < w ≤ 50
15
A0.75B0.3C15D1.5
12The histogram shows the time of 120 runners. One of the runners is chosen at random. Estimate the probability that its time is between 0 and 10 min. Give your answer as a fraction.
A$\dfrac{7}{8}$B$\dfrac{1}{8}$C15D$\dfrac{1}{9}$
13The histogram shows the height of some plants. Estimate how many had a height between 10 and 40 cm.
A5B33C85D65
14The histogram shows the height of 115 plants. The plants are placed in order of height. Estimate the height of the 90th one.
A45B40C50D30
15The histogram shows the height of some plants. Estimate how many had a height between 35 and 50 cm.
A25B30C45D16
How confident do you feel on this topic now?RedAmberGreen
Histograms · MCQ assessment
Version D
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1In a histogram, the class $40 < t \le 55$ has a frequency of 60. Work out the frequency density for this class.
A1.09B8C4D60
2The table shows the height of some plants. Work out the frequency density of the class $40 < h \le 60$.
Height, h (cm)
Frequency
0 < h ≤ 10
25
10 < h ≤ 30
20
30 < h ≤ 40
15
40 < h ≤ 60
50
A50B2.5C0.83D5
3In a histogram, the class $20 < t \le 40$ has a frequency of 80. Work out the frequency density for this class.
A80B4C8D2
4The table shows the time of some runners. Work out the frequency density of the class $30 < t \le 40$.
Time, t (min)
Frequency
0 < t ≤ 5
5
5 < t ≤ 15
30
15 < t ≤ 25
25
25 < t ≤ 30
15
30 < t ≤ 40
20
A0.5B2C4D20
5In a histogram, the class $60 < t \le 68$ has a frequency of 32. Work out the frequency density for this class.
A32B4C8D0.47
6The histogram and table show the same data. Use the histogram to find the missing frequency for the class $5 < t \le 15$.
Time, t (min)
Frequency
0 < t ≤ 5
10
5 < t ≤ 15
?
15 < t ≤ 25
5
25 < t ≤ 30
10
30 < t ≤ 40
15
A0.5B5C1D15
7A histogram is to be drawn for this data. Work out the height (frequency density) of the bar for the class $30 < t \le 40$.
Time, t (min)
Frequency
0 < t ≤ 5
20
5 < t ≤ 15
20
15 < t ≤ 25
10
25 < t ≤ 30
10
30 < t ≤ 40
10
A10B0.5C0.25D1
8The histogram shows the time of some runners. Estimate how many had a time between 20 and 30 min.
A3B40C45D30
9The histogram and table show the same data. Use the histogram to find the missing frequency for the class $40 < s \le 50$.
Speed, s (mph)
Frequency
0 < s ≤ 20
50
20 < s ≤ 30
10
30 < s ≤ 40
20
40 < s ≤ 50
?
A30B10C2D20
10A histogram is to be drawn for this data. Work out the height (frequency density) of the bar for the class $20 < s \le 30$.
Speed, s (mph)
Frequency
0 < s ≤ 20
10
20 < s ≤ 30
5
30 < s ≤ 40
30
40 < s ≤ 50
10
A0.25B5C0.5D0.17
11The histogram shows the height of some plants. Estimate how many had a height between 30 and 40 cm.
A0.5B5C8D15
12The histogram shows the weight of some parcels. Estimate the total number of parcels.
A45B23C30D55
13A histogram is drawn for the speed of some cars. The class $30 < s \le 40$ contains 15 cars. Using the heights of the bars, estimate how many are in the class $5 < s \le 15$.
A25B38C15D2.5
14On a histogram, the bar for $10 < s \le 20$ is taller than the bar for $20 < s \le 30$. The first class has frequency density 3 and the second has frequency density 1. Work out the total number of cars in these two classes.
A30B20C10D40
15The histogram shows the weight of 80 parcels. Estimate the percentage of parcels with a weight of more than 25 kg, by taking half of the 20–30 bar.
A12.5B25C37.5D33.3
How confident do you feel on this topic now?RedAmberGreen
Histograms · MCQ assessment
Version E
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1In a histogram, the class $60 < s \le 68$ has a frequency of 24. Work out the frequency density for this class.
A0.35B3C24D6
2The table shows the speed of some cars. Work out the frequency density of the class $30 < s \le 40$.
Speed, s (mph)
Frequency
0 < s ≤ 20
50
20 < s ≤ 30
15
30 < s ≤ 40
5
40 < s ≤ 50
10
A0.13B0.5C5D1
3In a histogram, the class $40 < h \le 65$ has a frequency of 100. Work out the frequency density for this class.
A100B8C1.54D4
4The table shows the height of some plants. Work out the frequency density of the class $30 < h \le 40$.
Height, h (cm)
Frequency
0 < h ≤ 10
15
10 < h ≤ 30
50
30 < h ≤ 40
20
40 < h ≤ 60
40
A20B2C4D0.5
5In a histogram, the class $60 < w \le 65$ has a frequency of 10. Work out the frequency density for this class.
A0.15B2C10D4
6A histogram is to be drawn for this data. Work out the height (frequency density) of the bar for the class $20 < w \le 30$.
Weight, w (kg)
Frequency
0 < w ≤ 10
25
10 < w ≤ 15
15
15 < w ≤ 20
5
20 < w ≤ 30
20
30 < w ≤ 50
50
A0.67B20C2D1
7The histogram shows the weight of some parcels. Estimate how many had a weight between 40 and 50 kg.
A5B15C8D0.5
8The histogram and table show the same data. Use the histogram to find the missing frequency for the class $0 < s \le 10$.
Speed, s (mph)
Frequency
0 < s ≤ 10
?
10 < s ≤ 20
10
20 < s ≤ 40
20
40 < s ≤ 50
15
A25B1.5C15D5
9A histogram is to be drawn for this data. Work out the height (frequency density) of the bar for the class $25 < w \le 30$.
Weight, w (kg)
Frequency
0 < w ≤ 5
20
5 < w ≤ 15
20
15 < w ≤ 25
25
25 < w ≤ 30
5
30 < w ≤ 40
25
A0.17B5C1D0.5
10The histogram shows the time of some runners. Estimate how many had a time between 10 and 30 min.
A30B50C38D1.5
11The histogram and table show the same data. Use the histogram to find the missing frequency for the class $40 < s \le 50$.
Speed, s (mph)
Frequency
0 < s ≤ 10
30
10 < s ≤ 20
25
20 < s ≤ 40
40
40 < s ≤ 50
?
A2.5B25C15D35
12The histogram shows the weight of some parcels. Estimate how many had a weight between 10 and 50 kg.
A40B50C60D25
13On this histogram each small square represents 10 cars. Estimate how many cars had a speed between 10 and 15 mph.
A80B90C8D40
14The histogram shows the speed of some cars. Estimate how many had a speed between 5 and 50 mph.
A65B95C105D49
15The histogram shows the speed of 80 cars. Calculate an estimate for the mean speed.
A28.8B475C1900D23.8
How confident do you feel on this topic now?RedAmberGreen
Histograms · MCQ assessment
Version F
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1The table shows the speed of some cars. Work out the frequency density of the class $10 < s \le 15$.
Speed, s (mph)
Frequency
0 < s ≤ 10
20
10 < s ≤ 15
10
15 < s ≤ 20
15
20 < s ≤ 30
5
30 < s ≤ 50
10
A2B10C4D0.67
2In a histogram, the class $40 < s \le 48$ has a frequency of 20. Work out the frequency density for this class.
A5B2.5C20D0.42
3The table shows the height of some plants. Work out the frequency density of the class $5 < h \le 15$.
Height, h (cm)
Frequency
0 < h ≤ 5
5
5 < h ≤ 15
10
15 < h ≤ 25
15
25 < h ≤ 30
5
30 < h ≤ 40
20
A10B1C2D0.67
4In a histogram, the class $60 < s \le 68$ has a frequency of 20. Work out the frequency density for this class.
A0.29B2.5C5D20
5The table shows the height of some plants. Work out the frequency density of the class $40 < h \le 50$.
Height, h (cm)
Frequency
0 < h ≤ 20
40
20 < h ≤ 30
5
30 < h ≤ 40
25
40 < h ≤ 50
5
A0.5B1C5D0.1
6The histogram shows the speed of some cars. Estimate how many had a speed between 30 and 50 mph.
A2B40C50D60
7The histogram and table show the same data. Use the histogram to find the missing frequency for the class $0 < t \le 20$.
Time, t (min)
Frequency
0 < t ≤ 20
?
20 < t ≤ 30
5
30 < t ≤ 40
10
40 < t ≤ 50
20
A70B30C50D2.5
8A histogram is to be drawn for this data. Work out the height (frequency density) of the bar for the class $10 < h \le 30$.
Height, h (cm)
Frequency
0 < h ≤ 10
15
10 < h ≤ 30
20
30 < h ≤ 40
30
40 < h ≤ 60
30
A20B0.5C1D0.67
9The histogram shows the height of some plants. Estimate how many had a height between 15 and 20 cm.
A2B10C20D15
10The histogram and table show the same data. Use the histogram to find the missing frequency for the class $10 < w \le 30$.
Weight, w (kg)
Frequency
0 < w ≤ 10
10
10 < w ≤ 30
?
30 < w ≤ 40
5
40 < w ≤ 60
30
A1B0.5C30D10
11A histogram is to be drawn for this data. Work out the height (frequency density) of the bar for the class $20 < s \le 30$.
Speed, s (mph)
Frequency
0 < s ≤ 20
10
20 < s ≤ 30
20
30 < s ≤ 40
25
40 < s ≤ 50
30
A20B1C2D0.67
12The histogram shows the speed of some cars. Estimate how many had a speed between 10 and 30 mph.
A60B65C30D45
13The histogram shows the time of some runners. Estimate the total number of runners.
A85B65C38D75
14The histogram shows the height of 125 plants. One of the plants is chosen at random. Estimate the probability that its height is between 30 and 40 cm. Give your answer as a fraction.
15The histogram shows the height of 80 plants. The plants are placed in order of height. Estimate the height of the 55th one.
A40B30C35D20
How confident do you feel on this topic now?RedAmberGreen
Histograms · MCQ assessment
Version G
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1The table shows the weight of some parcels. Work out the frequency density of the class $15 < w \le 25$.
Weight, w (kg)
Frequency
0 < w ≤ 5
5
5 < w ≤ 15
10
15 < w ≤ 25
30
25 < w ≤ 30
10
30 < w ≤ 40
20
A6B1.2C3D30
2In a histogram, the class $40 < s \le 45$ has a frequency of 15. Work out the frequency density for this class.
A0.33B6C15D3
3The table shows the weight of some parcels. Work out the frequency density of the class $20 < w \le 30$.
Weight, w (kg)
Frequency
0 < w ≤ 20
60
20 < w ≤ 30
10
30 < w ≤ 40
15
40 < w ≤ 50
15
A10B2C1D0.33
4In a histogram, the class $20 < w \le 30$ has a frequency of 30. Work out the frequency density for this class.
A1B6C30D3
5The table shows the height of some plants. Work out the frequency density of the class $25 < h \le 30$.
Height, h (cm)
Frequency
0 < h ≤ 5
20
5 < h ≤ 15
5
15 < h ≤ 25
20
25 < h ≤ 30
10
30 < h ≤ 40
30
A0.33B4C10D2
6The histogram shows the height of some plants. Estimate how many had a height between 20 and 30 cm.
A23B1.5C15D25
7A histogram is to be drawn for this data. Work out the height (frequency density) of the bar for the class $40 < w \le 50$.
Weight, w (kg)
Frequency
0 < w ≤ 10
15
10 < w ≤ 20
30
20 < w ≤ 40
30
40 < w ≤ 50
5
A0.1B5C0.5D0.25
8The histogram and table show the same data. Use the histogram to find the missing frequency for the class $5 < s \le 15$.
Speed, s (mph)
Frequency
0 < s ≤ 5
20
5 < s ≤ 15
?
15 < s ≤ 25
10
25 < s ≤ 30
20
30 < s ≤ 40
15
A35B15C25D2.5
9The histogram shows the height of some plants. Estimate how many had a height between 30 and 40 cm.
A45B3C40D30
10A histogram is to be drawn for this data. Work out the height (frequency density) of the bar for the class $20 < s \le 30$.
Speed, s (mph)
Frequency
0 < s ≤ 10
15
10 < s ≤ 15
10
15 < s ≤ 20
20
20 < s ≤ 30
30
30 < s ≤ 50
40
A1B3C30D1.5
11The histogram and table show the same data. Use the histogram to find the missing frequency for the class $40 < t \le 50$.
Time, t (min)
Frequency
0 < t ≤ 20
40
20 < t ≤ 30
15
30 < t ≤ 40
5
40 < t ≤ 50
?
A15B25C5D1.5
12A histogram is drawn for the time of some runners. The class $30 < t \le 40$ contains 10 runners. Using the heights of the bars, estimate how many are in the class $40 < t \le 50$.
A15B1.5C10D23
13The histogram shows the weight of some parcels. Estimate how many had a weight between 10 and 40 kg.
A15B23C45D65
14On a histogram, the bar for $10 < s \le 30$ is taller than the bar for $30 < s \le 40$. The first class has frequency density 3 and the second has frequency density 0.5. Work out the total number of cars in these two classes.
A60B65C5D55
15The histogram shows the time of 80 runners. Estimate the percentage of runners with a time of more than 30 min, by taking half of the 20–40 bar.
A116.7B12.5C43.8D75
How confident do you feel on this topic now?RedAmberGreen
Histograms · MCQ assessment
Version H
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1The table shows the time of some runners. Work out the frequency density of the class $10 < t \le 30$.
Time, t (min)
Frequency
0 < t ≤ 10
30
10 < t ≤ 30
30
30 < t ≤ 40
25
40 < t ≤ 60
10
A3B1C30D1.5
2In a histogram, the class $40 < t \le 45$ has a frequency of 10. Work out the frequency density for this class.
A2B0.22C4D10
3The table shows the height of some plants. Work out the frequency density of the class $10 < h \le 20$.
Height, h (cm)
Frequency
0 < h ≤ 10
10
10 < h ≤ 20
10
20 < h ≤ 40
20
40 < h ≤ 50
20
A10B1C0.5D2
4In a histogram, the class $20 < h \le 40$ has a frequency of 30. Work out the frequency density for this class.
A3B30C1.5D0.75
5The table shows the weight of some parcels. Work out the frequency density of the class $15 < w \le 20$.
Weight, w (kg)
Frequency
0 < w ≤ 10
15
10 < w ≤ 15
15
15 < w ≤ 20
10
20 < w ≤ 30
25
30 < w ≤ 50
30
A4B10C0.5D2
6The histogram shows the height of some plants. Estimate how many had a height between 0 and 10 cm.
A10B15C20D1
7The histogram and table show the same data. Use the histogram to find the missing frequency for the class $40 < h \le 50$.
Height, h (cm)
Frequency
0 < h ≤ 10
15
10 < h ≤ 20
5
20 < h ≤ 40
10
40 < h ≤ 50
?
A2.5B35C25D15
8A histogram is to be drawn for this data. Work out the height (frequency density) of the bar for the class $30 < h \le 40$.
Height, h (cm)
Frequency
0 < h ≤ 5
5
5 < h ≤ 15
15
15 < h ≤ 25
15
25 < h ≤ 30
20
30 < h ≤ 40
30
A0.75B3C30D1.5
9The histogram shows the speed of some cars. Estimate how many had a speed between 40 and 50 mph.
A2.5B25C35D38
10The histogram and table show the same data. Use the histogram to find the missing frequency for the class $40 < t \le 50$.
Time, t (min)
Frequency
0 < t ≤ 10
20
10 < t ≤ 20
10
20 < t ≤ 40
10
40 < t ≤ 50
?
A20B10C30D2
11A histogram is to be drawn for this data. Work out the height (frequency density) of the bar for the class $20 < t \le 30$.
Time, t (min)
Frequency
0 < t ≤ 20
50
20 < t ≤ 30
15
30 < t ≤ 40
25
40 < t ≤ 50
20
A15B0.5C0.75D1.5
12The histogram shows the time of 80 runners. One of the runners is chosen at random. Estimate the probability that its time is between 10 and 15 min. Give your answer as a fraction.
13The histogram shows the time of 90 runners. Estimate the median time.
A20B10C0D15
14The histogram shows the time of 100 runners. Estimate the percentage of runners with a time of more than 10 min, by taking half of the 5–15 bar.
A70B75C80D83.3
15The histogram shows the height of plants. The scale on the frequency density axis is missing. There are 130 plants altogether. Work out how many plants are in the class $10 < h \le 20$.
A10B5C33D12
How confident do you feel on this topic now?RedAmberGreen
Histograms · MCQ assessment
Version I
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1In a histogram, the class $60 < w \le 70$ has a frequency of 15. Work out the frequency density for this class.
A15B0.21C1.5D3
2The table shows the weight of some parcels. Work out the frequency density of the class $20 < w \le 30$.
Weight, w (kg)
Frequency
0 < w ≤ 10
10
10 < w ≤ 15
5
15 < w ≤ 20
15
20 < w ≤ 30
20
30 < w ≤ 50
20
A2B4C20D0.67
3In a histogram, the class $30 < h \le 50$ has a frequency of 60. Work out the frequency density for this class.
A60B1.2C3D6
4The table shows the time of some runners. Work out the frequency density of the class $10 < t \le 20$.
Time, t (min)
Frequency
0 < t ≤ 10
15
10 < t ≤ 20
15
20 < t ≤ 40
60
40 < t ≤ 50
30
A15B1.5C0.75D3
5In a histogram, the class $50 < t \le 70$ has a frequency of 20. Work out the frequency density for this class.
A20B1C2D0.29
6The histogram shows the time of some runners. Estimate how many had a time between 10 and 30 min.
A75B3C60D80
7The histogram and table show the same data. Use the histogram to find the missing frequency for the class $30 < s \le 40$.
Speed, s (mph)
Frequency
0 < s ≤ 5
20
5 < s ≤ 15
10
15 < s ≤ 25
25
25 < s ≤ 30
5
30 < s ≤ 40
?
A2.5B35C15D25
8A histogram is to be drawn for this data. Work out the height (frequency density) of the bar for the class $30 < s \le 40$.
Speed, s (mph)
Frequency
0 < s ≤ 5
10
5 < s ≤ 15
30
15 < s ≤ 25
20
25 < s ≤ 30
10
30 < s ≤ 40
25
A25B1.25C0.63D2.5
9The histogram shows the weight of some parcels. Estimate how many had a weight between 40 and 60 kg.
A0.5B10C13D30
10The histogram and table show the same data. Use the histogram to find the missing frequency for the class $40 < t \le 50$.
Time, t (min)
Frequency
0 < t ≤ 20
60
20 < t ≤ 30
20
30 < t ≤ 40
30
40 < t ≤ 50
?
A20B10C2D30
11A histogram is to be drawn for this data. Work out the height (frequency density) of the bar for the class $10 < t \le 30$.
Time, t (min)
Frequency
0 < t ≤ 10
5
10 < t ≤ 30
60
30 < t ≤ 40
20
40 < t ≤ 60
40
A1.5B2C60D3
12A histogram is drawn for the time of some runners. The class $40 < t \le 50$ contains 15 runners. Using the heights of the bars, estimate how many are in the class $30 < t \le 40$.
A3B30C15D45
13The histogram shows the weight of some parcels. Estimate the percentage of parcels with a weight between 25 and 40 kg.
A15B0.3C70D30
14The histogram shows the speed of some cars. Estimate the total number of cars.
A95B135C125D63
15The histogram shows the weight of 100 parcels. The parcels are placed in order of weight. Estimate the weight of the 20th one.
A20B15C10D0
How confident do you feel on this topic now?RedAmberGreen
Histograms · MCQ assessment
Version J
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1In a histogram, the class $60 < s \le 80$ has a frequency of 40. Work out the frequency density for this class.
A0.5B4C2D40
2The table shows the height of some plants. Work out the frequency density of the class $20 < h \le 30$.
Height, h (cm)
Frequency
0 < h ≤ 20
20
20 < h ≤ 30
5
30 < h ≤ 40
10
40 < h ≤ 50
15
A1B0.17C5D0.5
3In a histogram, the class $60 < t \le 80$ has a frequency of 20. Work out the frequency density for this class.
A20B2C1D0.25
4The table shows the speed of some cars. Work out the frequency density of the class $25 < s \le 30$.
Speed, s (mph)
Frequency
0 < s ≤ 5
20
5 < s ≤ 15
15
15 < s ≤ 25
5
25 < s ≤ 30
10
30 < s ≤ 40
30
A0.33B2C4D10
5In a histogram, the class $10 < w \le 18$ has a frequency of 32. Work out the frequency density for this class.
A1.78B8C32D4
6A histogram is to be drawn for this data. Work out the height (frequency density) of the bar for the class $15 < s \le 20$.
Speed, s (mph)
Frequency
0 < s ≤ 10
10
10 < s ≤ 15
20
15 < s ≤ 20
15
20 < s ≤ 30
25
30 < s ≤ 50
20
A1.5B15C0.75D3
7The histogram shows the height of some plants. Estimate how many had a height between 40 and 60 cm.
A50B2C40D60
8The histogram and table show the same data. Use the histogram to find the missing frequency for the class $0 < h \le 10$.
Height, h (cm)
Frequency
0 < h ≤ 10
?
10 < h ≤ 30
60
30 < h ≤ 40
10
40 < h ≤ 60
30
A15B0.5C5D1
9A histogram is to be drawn for this data. Work out the height (frequency density) of the bar for the class $40 < t \le 50$.
Time, t (min)
Frequency
0 < t ≤ 20
10
20 < t ≤ 30
30
30 < t ≤ 40
15
40 < t ≤ 50
5
A0.5B5C0.25D0.1
10The histogram shows the height of some plants. Estimate how many had a height between 20 and 30 cm.
A15B5C8D0.5
11The histogram and table show the same data. Use the histogram to find the missing frequency for the class $10 < t \le 15$.
Time, t (min)
Frequency
0 < t ≤ 10
10
10 < t ≤ 15
?
15 < t ≤ 20
10
20 < t ≤ 30
15
30 < t ≤ 50
10
A5B15C10D2
12The histogram shows the height of 90 plants. One of the plants is chosen at random. Estimate the probability that its height is between 30 and 40 cm. Give your answer as a fraction.
mathedup.co.uk · sheet K9VR