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Question Bank
Chapter –8
Class:VII
Mathematics
Ratio , Proportion and Unitary method
1 mark
1. Express the following ratio in the simplest form.
(a) 36 : 81 (b) 0.4: 0.6 (c) 85 : 255 (d) 324 :144
2. Find the ratio of :
(a) 125 g to 1 kg (b) 4 days to 2 weeks (c) 36 minutes to 1
1
hours
2
(d) 76 ml to 2 l (e)) 5 m to 65 cm
3. Determine whether the following numbers are in proportion or not.
(a) 12, 15 , 4 , 5
(b) 1.2, 1.6, 0.09 , 1.2
(c)
1 1 1 1
, , ,
2 4 7 14
4. Compare the following ratios.
(a) 3: 5 and 4 : 7 (b) 2:7 and 3:10
(c) 4: 10 and 5 : 17
5. Find the value of x , if 3 , x , 27 are in proportion.
6. Find the fourth proportional to 5, 7 and 25
7. Are 1, 2, 3, 4 are in proportion?
8. 8 apples cost Rs 16, find the cost of 5 apples.
9. Find the mean proportional to 16 and 25.
10. Find the ratio between 20 minutes to 1 hour.
11. Find the third proportional to 9 and 12
2 marks
12. The ratio of number of men to that of women in a party is 5 : 4. If the
number of men is 40, find the number of women in the party.
13. If 25, 35 , x are in continued proportion, find the value of x.
14. Divide Rs. 495 between Anil and Geeta in the ratio 4 : 7
15. Divide 84 toffees between two children in the ratio 5 : 7 .
16. The ratio of length of a playground to its width is 5 :3. Find the width if
the length is 50 m.
17. A bus travels 165 km in 3 hours, how long will it take to travel 220 km?
18. Two numbers are in the ratio 4: 5 .If the sum of the numbers is 549.
Find the numbers.
19. Find the value of x for which the following forms proportion.
(i) x: 5 : : 28: 35 (ii) 1.6: x : : 0.12 : 0.24 (iii) x: 8 : : 8 : 16
3 marks & 4 marks
20. There are 2500 students ina school. Out of them 1100 are girls and
the rest are boys. Find the ratio of:
(i) number of boys to number of girls
(ii) number of boys to number of students.
(iii) number of students to number of boys.
21. The cost of 25 bags of cement each weighing 40 kg is Rs. 2750. What is the
cost of 45 bags of cement, each weighing 36 kg ?
22. The ratio of books on mathematics to those of Science is 15:17 in a
library. If the books on Science are 1054, find the total number of books in the
library. Also find the number of books on Mathematics.
23. A train travels 150 km in 2 hours and a car travels 250 km in 3 hours.
What is the ratio of the speed of the train to that of the car?
24. A car travels 275 km in 5 hours.
(i) How far it will travel in 8
1
hours?
2
(ii) How long will it take to travel 495 km ?
25. Harsh takes 150 steps in walking a distance of 125 metres.
(i) What distance would he cover in 360 steps?
(ii) How many steps would be needed to cover a distance of 120 m.
26. A plane flies 405 km on 90 litres of fuel.
(i) How much fuel is needed for 540 km?
(ii) How far can it go in 50 litres ?
27. Mr. Gupta and his wife are both school teachers and get Rs. 14000 and
Rs. 8750 respectively per month. Find the ratio of :
(i) Mr. Gupta’s income to that of his wife?
(ii) Mrs. Gupta’s income to that of her husband?
(iii) Mr. Gupta’s income to the total income of the two.
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Chapter 17.Data Handling
1mark
1. Find the mean of first 5 prime numbers .
2. Find the mean of first 6 even numbers.
3. Find the median of : 3, 1, 5, 6, 3, 4, and 5
4. Find the mode of :3, 4, 5, 4, 4, 5, 6, 4, 5,7 , 7
5. For what value of x, the mode of the following data is 5 ?
2, 4, 3, 5, 4, 5, 6, 4, 7, 5, x – 4
6. The chance of happening an event called __________
7. If 6 is the arithmetic mean of 2, 5, p, 8 , find the value of p
8. Range of the data : 2.5 , 0.4 , 5 , 9.8, 2.3, 18 is
9. Mean of 10 observations was found to be 20. Later on it was detected
that an observation 15 was misread as 10. What is the correct mean of
observation?
10. Find the mean of first five odd numbers.
2 marks
11. Following data represent the marks of15 students in a test.
12, 18, 24, 23, 15, 16, 25, 20, 19, 11, 8, 9, 12, 21, 10
(i) Arrange the data in ascending order.
(ii) Find the maximum marks obtained
(iii) Find the minimum marks obtained
(iv) Find the range of the data.
12. The marks of 10 students of a class are given below. Find the mean marks.
15, 16, 17, 12, 13, 8, 9, 16, 15, 11
13. Find the mean marks from the following table.
Marks 15
No: of
3
students
16
3
18
2
18
2
14. Find the median of the following data
27, 21, 25, 24, 26, 11, 19, 15, 22, 20
15. Find the median of first 20 even numbers.
3 marks & 4 marks
16. The daily wages of 30 workers in a factory is given below. Make a
frequency table for the data.
60, 65, 100, 70, 85, 95, 80, 70, 80, 65, 65, 75, 80, 85 , 90, 90, 100, 65, 80,
75, 85, 65, 95, 70 ,75, 80, 90, 100, 60, 70.
17. Following are the ages of 10 teachers in a school.
32, 41, 27, 54, 36, 25, 28, 57, 40, 38
(i) What is the age of oldest teacher and that of ypungest teacher?
(ii) Find the range of the ages of the teachers.
(iii) Find the mean age.
18. The table given below shows the sale of some fruits in one day by a
local market.
fruit
Papaya
Pears
Sale (in
16
8
kg)
Represent the data by a bar graph.
Mangoes
24
oranges
40
Apples
52
19. During the festive season, the sales of various gadgets is as under:
Gadgets
Mixer
Microwave Toaster
DVD Player
number
250
180
200
260
Represent the above information by a bar graph.
I pod
50
20. The number of bicycles produced in a factory during five consecutive weeks is
given below.
week
first
second
third
fourth
No: of
800
950
500
650
cycles
produced
Draw a bar graph to represent the above data..
fifth
720
21. The results of pass percentage of class X and class XII in CBSE exam for
5 years are given below:
year
X
XII
2001
2002
2003
2005
80
85
82
78
92
86
90
95
Draw a double bar graph to represent the above data.
2006
88
94
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