EduSahara™ Worksheet

Question 1

1.

The ratio equivalent of the fraction
7
10
=

(i)

7

:

10
(ii)

6

:

10
(iii)

10

:

7
(iv)

7

:

12
(v)

7

:

8

Question 2

2.

The ratio equivalent of the fraction
30
59
=

(i)

30

:

59
(ii)

30

:

57
(iii)

59

:

30
(iv)

30

:

62
(v)

29

:

59

Question 3

3.

The fraction equivalent of the ratio
2

:

3
=

(i)

2
3
(ii)

0
(iii)

3
2
(iv)

4
3
(v)

2

Question 4

4.

The fraction equivalent of the ratio
10

:

15
=

(i)

15
10
(ii)

8
15
(iii)

10
13
(iv)

10
15
(v)

4
5

Question 5

5.

The antecendent in the ratio
13

:

20
=

(i)

16
(ii)

12
(iii)

20
(iv)

17
(v)

13

Question 6

6.

The antecendent in the ratio
17
3

:

11
4
=

(i)

17
(ii)

19
3
(iii)

17
3
(iv)

9
4
(v)

11
4

Question 7

7.

The consequent in the ratio
2

:

10
=

(i)

-1
(ii)

9
(iii)

2
(iv)

13
(v)

10

Question 8

8.

The consequent in the ratio
13
15

:

6
19
=

(i)

6
17
(ii)

8
19
(iii)

11
15
(iv)

13
15
(v)

6
19

Question 9

9.

The simplest form of
255

:

150
=

(i)

255

:

153
(ii)

17

:

10
(iii)

16

:

10
(iv)

17

:

7
(v)

18

:

10

Question 10

10.

Find the product of extremes of
17

:

9
and
3

:

6

(i)

102
(ii)

104
(iii)

100
(iv)

27
(v)

101

Question 11

11.

Find the product of extremes of
13
17

:

11
15
and
19
12

:

6
17

(i)

209
180
(ii)

78
287
(iii)

80
289
(iv)

78
289
(v)

76
289

Question 12

12.

The ages of A and B are in the ratio 9 : 7. 6 years hence, their ages will be in the ratio 5 : 4. Find their present ages.

(i)

72

:

56
(ii)

45

:

35
(iii)

54

:

42
(iv)

36

:

28

Question 13

13.

The ages of A and B are in the ratio 5 : 3. 9 years ago, their ages were in the ratio 9 : 5. Find their present ages.

(i)

90

:

54
(ii)

85

:

51
(iii)

100

:

60
(iv)

80

:

48

Question 14

14.

The inverse ratio of
1

:

13
=

(i)

3

:

39
(ii)

13

:

1
(iii)

1

:

11
(iv)

12

:

1
(v)

1

:

16

Question 15

15.

(i)

33
(ii)

31
(iii)

30
(iv)

29
(v)

27

Question 16

16.

(i)

6
(ii)

9
(iii)

8
(iv)

4
(v)

7

Question 17

17.

(i)

84
(ii)

87
(iii)

83
(iv)

85
(v)

81

Question 18

18.

(i)

5
(ii)

1
(iii)

3
(iv)

2
(v)

0

Question 19

19.

Find the product of means of
7

:

9
and
7

:

3

(i)

21
(ii)

60
(iii)

63
(iv)

62
(v)

66

Question 20

20.

Find the product of means of
20
11

:

14
15
and
19
18

:

17
2

(i)

133
135
(ii)

131
135
(iii)

170
11
(iv)

1

Question 21

21.

Which of the ratios is proportional to 18 : 3?

(i)

18

:

6
(ii)

18

:

1
(iii)

18

:

3
(iv)

19

:

3
(v)

17

:

3

Question 22

22.

Divide 2160 in the ratio 19 : 1

(i)

2053 , 108
(ii)

2052 , 110
(iii)

2051 , 108
(iv)

2052 , 108
(v)

2052 , 105

Question 23

23.

Divide 8037 in the ratio 10 : 37

(i)

1710 , 6324
(ii)

1710 , 6330
(iii)

1711 , 6327
(iv)

1710 , 6327
(v)

1709 , 6327

Question 24

24.

Divide 6864 in the ratio 14 : 16 : 18

(i)

2002 , 2286 , 2574
(ii)

2001 , 2288 , 2574
(iii)

2003 , 2288 , 2574
(iv)

2002 , 2288 , 2574
(v)

2002 , 2291 , 2574

Question 25

25.

Divide 14706 in the ratio 11 : 40 : 35

(i)

1882 , 6840 , 5985
(ii)

1881 , 6838 , 5985
(iii)

1881 , 6843 , 5985
(iv)

1881 , 6840 , 5985
(v)

1880 , 6840 , 5985

Question 26

26.

Find the compound ratio of
9

:

3
and
8

:

16

(i)

72

:

50
(ii)

71

:

48
(iii)

72

:

48
(iv)

72

:

45
(v)

73

:

48

Question 27

27.

A ratio is equal to 16 : 5. If its antecendent is 4480, what is its consequent?

(i)

1398
(ii)

1399
(iii)

1402
(iv)

1400
(v)

1401

Question 28

28.

A ratio is equal to 7 : 1. If its consequent is 1360, what is its antecendent?

(i)

9518
(ii)

9519
(iii)

9523
(iv)

9520
(v)

9521

Question 29

29.

Find the ratio between 6 months and 3 years 2 months

(i)

3

:

17
(ii)

2

:

19
(iii)

3

:

22
(iv)

3

:

19

Question 30

30.

Find the number which bears the same ratio
to
2
4
that
1
3
does to
1
3

(i)

0
(ii)

1
(iii)

1
2
(iv)

1
3

Question 31

31.

Divide 1003 in the ratio
9
4

:

8
3

(i)

458 , 544
(ii)

459 , 544
(iii)

459 , 542
(iv)

460 , 544
(v)

459 , 547

Question 32

32.

(i)

g : px
(ii)

px : gw
(iii)

wg : px
(iv)

x : gw
(v)

p

g

:

x

w

Question 33

33.

A certain amount has been divided into two parts in the ratio 5 : 6. If the first part is 150, find the total amount.

(i)

327
(ii)

331
(iii)

329
(iv)

332
(v)

330

Question 34

34.

Two numbers are in the ratio 7 : 3 and their difference is 116. Find the numbers.

(i)

203,90
(ii)

203,87
(iii)

202,87
(iv)

204,87
(v)

203,85

Question 35

35.

In an examination, the ratio of passes to failures was 3 : 2.
Had 25 less appeared and 15 less passed, the ratio of passes to failures would have been 3 : 2.
How many students appeared for the examination?

(i)

110
(ii)

105
(iii)

95
(iv)

90
(v)

100

Question 36

36.

In a company, the number of engineers to managers is in the ratio 6 : 1 . After a year, when 15 engineers and 5 managers left, the ratio between engineers to managers is 45 : 7 . Find the number of engineers and managers at the beginning?

(i)

260
(ii)

270
(iii)

290
(iv)

300
(v)

280

Question 37

37.

Find the ratio between 11 months and 9 years

(i)

10

:

108
(ii)

11

:

110
(iii)

11

:

108
(iv)

11

:

106

Question 38

38.

Find the ratio between 36 min and 7 hr

(i)

3

:

35
(ii)

2

:

35
(iii)

3

:

37
(iv)

3

:

32

Question 39

39.

Find the ratio between 6 m and 9 km

(i)

1

:

1497
(ii)

1

:

1503
(iii)

1

:

1500
(iv)

0

:

1500

Question 40

40.

Find the ratio between 5 gm and 10 kg

(i)

1

:

2002
(ii)

1

:

1997
(iii)

0

:

2000
(iv)

1

:

2000

Question 41

41.

Find the ratio between 9 l and 6 kl

(i)

3

:

2003
(ii)

2

:

2000
(iii)

3

:

2000
(iv)

3

:

1997

Question 42

42.

Find the ratio between 19 hr and 8 days

(i)

18

:

192
(ii)

19

:

194
(iii)

19

:

192
(iv)

19

:

189

Assignment Key