EduSahara™ Worksheet

Question 1

1.

The ratio equivalent of the fraction
5
8
=

(i)

5

:

10
(ii)

5

:

5
(iii)

4

:

8
(iv)

5

:

8
(v)

8

:

5

Question 2

2.

The ratio equivalent of the fraction
39
95
=

(i)

39

:

95
(ii)

39

:

93
(iii)

39

:

97
(iv)

38

:

95
(v)

95

:

39

Question 3

3.

The fraction equivalent of the ratio
7

:

2
=

(i)

7
(ii)

9
2
(iii)

2
7
(iv)

7
2
(v)

5
2

Question 4

4.

The fraction equivalent of the ratio
84

:

81
=

(i)

84
79
(ii)

86
81
(iii)

82
81
(iv)

84
81
(v)

81
84

Question 5

5.

The antecendent in the ratio
9

:

5
=

(i)

5
(ii)

9
(iii)

8
(iv)

12
(v)

3

Question 6

6.

The antecendent in the ratio
3
8

:

1
20
=

(i)

(
-1
20
)
(ii)

1
20
(iii)

3
8
(iv)

5
8
(v)

1
2

Question 7

7.

The consequent in the ratio
19

:

5
=

(i)

5
(ii)

17
(iii)

19
(iv)

8
(v)

4

Question 8

8.

The consequent in the ratio
2
13

:

20
7
=

(i)

4
(ii)

0
(iii)

22
7
(iv)

20
7
(v)

2
13

Question 9

9.

The simplest form of
108

:

72
=

(i)

108

:

74
(ii)

4

:

2
(iii)

3

:

-1
(iv)

2

:

2
(v)

3

:

2

Question 10

10.

Find the product of extremes of
12

:

13
and
2

:

8

(i)

99
(ii)

95
(iii)

96
(iv)

26
(v)

94

Question 11

11.

Find the product of extremes of
5
4

:

4
7
and
7
4

:

17
10

(i)

17
8
(ii)

15
8
(iii)

17
6
(iv)

19
8
(v)

1

Question 12

12.

The ages of A and B are in the ratio 3 : 4. 5 years hence, their ages will be in the ratio 7 : 9. Find their present ages.

(i)

36

:

48
(ii)

30

:

40
(iii)

27

:

36
(iv)

24

:

32

Question 13

13.

The ages of A and B are in the ratio 3 : 4. 10 years ago, their ages were in the ratio 5 : 7. Find their present ages.

(i)

66

:

88
(ii)

60

:

80
(iii)

54

:

72
(iv)

57

:

76

Question 14

14.

The inverse ratio of
22

:

4
=

(i)

4

:

22
(ii)

22

:

2
(iii)

22

:

6
(iv)

154

:

28
(v)

3

:

22

Question 15

15.

(i)

2
(ii)

3
(iii)

(-1)
(iv)

5
(v)

1

Question 16

16.

(i)

11
(ii)

10
(iii)

12
(iv)

8
(v)

9

Question 17

17.

(i)

62
(ii)

60
(iii)

63
(iv)

64
(v)

65

Question 18

18.

(i)

3
(ii)

0
(iii)

4
(iv)

1
(v)

2

Question 19

19.

Find the product of means of
7

:

1
and
10

:

13

(i)

12
(ii)

7
(iii)

91
(iv)

10
(v)

9

Question 20

20.

Find the product of means of
5
8

:

5
11
and
7
16

:

11
2

(i)

35
174
(ii)

55
16
(iii)

3
16
(iv)

35
176
(v)

37
176

Question 21

21.

Which of the ratios is proportional to 27 : 3?

(i)

27

:

5
(ii)

28

:

3
(iii)

26

:

3
(iv)

27

:

3
(v)

27

:

0

Question 22

22.

Divide 3960 in the ratio 19 : 14

(i)

2281 , 1680
(ii)

2280 , 1678
(iii)

2280 , 1680
(iv)

2280 , 1683
(v)

2279 , 1680

Question 23

23.

Divide 19133 in the ratio 33 : 20

(i)

11914 , 7220
(ii)

11913 , 7218
(iii)

11912 , 7220
(iv)

11913 , 7222
(v)

11913 , 7220

Question 24

24.

Divide 1080 in the ratio 20 : 4 : 6

(i)

721 , 144 , 216
(ii)

719 , 144 , 216
(iii)

720 , 141 , 216
(iv)

720 , 147 , 216
(v)

720 , 144 , 216

Question 25

25.

Divide 11514 in the ratio 39 : 25 : 37

(i)

4446 , 2852 , 4218
(ii)

4446 , 2850 , 4218
(iii)

4446 , 2847 , 4218
(iv)

4445 , 2850 , 4218
(v)

4447 , 2850 , 4218

Question 26

26.

Find the compound ratio of
2

:

20
and
15

:

13

(i)

29

:

260
(ii)

30

:

258
(iii)

30

:

260
(iv)

30

:

262
(v)

31

:

260

Question 27

27.

A ratio is equal to 91 : 5. If its antecendent is 9282, what is its consequent?

(i)

510
(ii)

509
(iii)

507
(iv)

511
(v)

513

Question 28

28.

A ratio is equal to 5 : 8. If its consequent is 1120, what is its antecendent?

(i)

700
(ii)

701
(iii)

698
(iv)

703
(v)

699

Question 29

29.

Find the ratio between 2 months and 4 years 4 months

(i)

0

:

26
(ii)

1

:

28
(iii)

1

:

26
(iv)

1

:

24

Question 30

30.

Find the number which bears the same ratio
to
4
5
that
1
5
does to
19
100

(i)

16
17
(ii)

16
21
(iii)

14
19
(iv)

18
19
(v)

16
19

Question 31

31.

Divide 820 in the ratio
4
7

:

6
7

(i)

327 , 492
(ii)

328 , 489
(iii)

328 , 494
(iv)

328 , 492
(v)

329 , 492

Question 32

32.

(i)

f : bz
(ii)

pf : bz
(iii)

b : pf
(iv)

p

b

:

f

z
(v)

zb : pf

Question 33

33.

A certain amount has been divided into two parts in the ratio 7 : 6. If the first part is 203, find the total amount.

(i)

377
(ii)

376
(iii)

379
(iv)

378
(v)

374

Question 34

34.

Two numbers are in the ratio 5 : 3 and their difference is 54. Find the numbers.

(i)

134,81
(ii)

135,81
(iii)

136,81
(iv)

135,78
(v)

135,83

Question 35

35.

In an examination, the ratio of passes to failures was 3 : 1.
Had 85 less appeared and 10 less passed, the ratio of passes to failures would have been 52 : 3.
How many students appeared for the examination?

(i)

370
(ii)

365
(iii)

355
(iv)

360
(v)

350

Question 36

36.

In a company, the number of engineers to managers is in the ratio 2 : 1 . After a year, when 15 engineers and 10 managers left, the ratio between engineers to managers is 13 : 6 . Find the number of engineers and managers at the beginning?

(i)

100
(ii)

140
(iii)

120
(iv)

130
(v)

110

Question 37

37.

Find the ratio between 8 months and 4 years

(i)

1

:

8
(ii)

0

:

6
(iii)

1

:

4
(iv)

1

:

6

Question 38

38.

Find the ratio between 41 min and 4 hr

(i)

41

:

242
(ii)

40

:

240
(iii)

41

:

240
(iv)

41

:

238

Question 39

39.

Find the ratio between 4 m and 4 km

(i)

1

:

998
(ii)

1

:

1000
(iii)

0

:

1000
(iv)

1

:

1003

Question 40

40.

Find the ratio between 3 gm and 5 kg

(i)

3

:

4997
(ii)

3

:

5000
(iii)

2

:

5000
(iv)

3

:

5003

Question 41

41.

Find the ratio between 3 l and 3 kl

(i)

1

:

1003
(ii)

0

:

1000
(iii)

1

:

1000
(iv)

1

:

998

Question 42

42.

Find the ratio between 17 hr and 22 days

(i)

17

:

525
(ii)

16

:

528
(iii)

17

:

528
(iv)

17

:

531

Assignment Key