EduSahara™ Worksheet

Question 1

1.

The ratio equivalent of the fraction
3
4
=

(i)

3

:

2
(ii)

2

:

4
(iii)

3

:

7
(iv)

4

:

3
(v)

3

:

4

Question 2

2.

The ratio equivalent of the fraction
17
41
=

(i)

17

:

41
(ii)

16

:

41
(iii)

17

:

38
(iv)

17

:

43
(v)

41

:

17

Question 3

3.

The fraction equivalent of the ratio
9

:

4
=

(i)

9
2
(ii)

7
4
(iii)

4
9
(iv)

11
4
(v)

9
4

Question 4

4.

The fraction equivalent of the ratio
68

:

86
=

(i)

35
43
(ii)

17
21
(iii)

33
43
(iv)

68
86
(v)

86
68

Question 5

5.

The antecendent in the ratio
5

:

4
=

(i)

5
(ii)

1
(iii)

4
(iv)

8

Question 6

6.

The antecendent in the ratio
13
18

:

1
12
=

(i)

1
12
(ii)

5
6
(iii)

(
-1
12
)
(iv)

13
16
(v)

13
18

Question 7

7.

The consequent in the ratio
1

:

9
=

(i)

-1
(ii)

9
(iii)

1
(iv)

12
(v)

8

Question 8

8.

The consequent in the ratio
3
2

:

9
11
=

(i)

3
2
(ii)

1
(iii)

9
11
(iv)

1
2

Question 9

9.

The simplest form of
160

:

130
=

(i)

16

:

13
(ii)

160

:

133
(iii)

15

:

13
(iv)

16

:

10
(v)

17

:

13

Question 10

10.

Find the product of extremes of
8

:

1
and
12

:

7

(i)

56
(ii)

58
(iii)

55
(iv)

12
(v)

54

Question 11

11.

Find the product of extremes of
9
11

:

15
13
and
19
12

:

4
11

(i)

34
121
(ii)

36
119
(iii)

36
121
(iv)

38
121
(v)

95
52

Question 12

12.

The ages of A and B are in the ratio 8 : 5. 10 years hence, their ages will be in the ratio 3 : 2. Find their present ages.

(i)

96

:

60
(ii)

72

:

45
(iii)

64

:

40
(iv)

80

:

50

Question 13

13.

The ages of A and B are in the ratio 10 : 9. 8 years ago, their ages were in the ratio 9 : 8. Find their present ages.

(i)

60

:

54
(ii)

70

:

63
(iii)

80

:

72
(iv)

100

:

90

Question 14

14.

The inverse ratio of
14

:

4
=

(i)

84

:

24
(ii)

14

:

2
(iii)

4

:

14
(iv)

14

:

7
(v)

3

:

14

Question 15

15.

(i)

19
(ii)

21
(iii)

24
(iv)

22
(v)

23

Question 16

16.

(i)

12
(ii)

10
(iii)

11
(iv)

7
(v)

9

Question 17

17.

(i)

33
(ii)

30
(iii)

32
(iv)

31
(v)

35

Question 18

18.

(i)

4
(ii)

6
(iii)

8
(iv)

9
(v)

7

Question 19

19.

Find the product of means of
10

:

5
and
20

:

2

(i)

97
(ii)

103
(iii)

99
(iv)

20
(v)

100

Question 20

20.

Find the product of means of
12
17

:

12
5
and
18
7

:

8
17

(i)

214
35
(ii)

216
35
(iii)

72
11
(iv)

96
289
(v)

218
35

Question 21

21.

Which of the ratios is proportional to 32 : 8?

(i)

32

:

8
(ii)

33

:

8
(iii)

32

:

6
(iv)

32

:

10
(v)

31

:

8

Question 22

22.

Divide 864 in the ratio 19 : 8

(i)

608 , 259
(ii)

608 , 254
(iii)

607 , 256
(iv)

608 , 256
(v)

609 , 256

Question 23

23.

Divide 4200 in the ratio 23 : 19

(i)

2300 , 1900
(ii)

2301 , 1900
(iii)

2300 , 1902
(iv)

2299 , 1900
(v)

2300 , 1897

Question 24

24.

Divide 2937 in the ratio 1 : 18 : 14

(i)

88 , 1602 , 1246
(ii)

89 , 1602 , 1246
(iii)

89 , 1600 , 1246
(iv)

90 , 1602 , 1246
(v)

89 , 1604 , 1246

Question 25

25.

Divide 15405 in the ratio 35 : 33 : 11

(i)

6826 , 6435 , 2145
(ii)

6825 , 6437 , 2145
(iii)

6825 , 6435 , 2145
(iv)

6825 , 6432 , 2145
(v)

6824 , 6435 , 2145

Question 26

26.

Find the compound ratio of
20

:

10
and
3

:

10

(i)

60

:

103
(ii)

61

:

100
(iii)

60

:

100
(iv)

59

:

100
(v)

60

:

97

Question 27

27.

A ratio is equal to 3 : 2. If its antecendent is 8400, what is its consequent?

(i)

5601
(ii)

5599
(iii)

5600
(iv)

5603
(v)

5597

Question 28

28.

A ratio is equal to 1 : 5. If its consequent is 2240, what is its antecendent?

(i)

450
(ii)

447
(iii)

448
(iv)

449
(v)

446

Question 29

29.

Find the ratio between 6 months and 5 years 5 months

(i)

5

:

65
(ii)

6

:

67
(iii)

6

:

63
(iv)

6

:

65

Question 30

30.

Find the number which bears the same ratio
to
5
6
that
4
5
does to
4
3

(i)

2
5
(ii)

1
4
(iii)

1
2
(iv)

2
3
(v)

3
4

Question 31

31.

Divide 5025 in the ratio
8
5

:

7
4

(i)

2399 , 2625
(ii)

2401 , 2625
(iii)

2400 , 2622
(iv)

2400 , 2625
(v)

2400 , 2628

Question 32

32.

(i)

l

e

:

t

o
(ii)

e : lt
(iii)

lt : eo
(iv)

t : eo
(v)

oe : lt

Question 33

33.

A certain amount has been divided into two parts in the ratio 2 : 7. If the first part is 54, find the total amount.

(i)

243
(ii)

245
(iii)

240
(iv)

242
(v)

244

Question 34

34.

Two numbers are in the ratio 8 : 3 and their difference is 150. Find the numbers.

(i)

240,92
(ii)

239,90
(iii)

241,90
(iv)

240,87
(v)

240,90

Question 35

35.

In an examination, the ratio of passes to failures was 3 : 2.
Had 85 less appeared and 20 less passed, the ratio of passes to failures would have been 26 : 7.
How many students appeared for the examination?

(i)

245
(ii)

255
(iii)

260
(iv)

240
(v)

250

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 15 managers left, the ratio between engineers to managers is 3 : 1 . Find the number of engineers and managers at the beginning?

(i)

100
(ii)

110
(iii)

80
(iv)

90
(v)

70

Question 37

37.

Find the ratio between 4 months and 9 years

(i)

1

:

27
(ii)

1

:

25
(iii)

1

:

29
(iv)

0

:

27

Question 38

38.

Find the ratio between 28 min and 30 hr

(i)

7

:

447
(ii)

7

:

452
(iii)

6

:

450
(iv)

7

:

450

Question 39

39.

Find the ratio between 10 m and 6 km

(i)

0

:

600
(ii)

1

:

600
(iii)

1

:

602
(iv)

1

:

598

Question 40

40.

Find the ratio between 3 gm and 7 kg

(i)

2

:

7000
(ii)

3

:

7000
(iii)

3

:

6997
(iv)

3

:

7002

Question 41

41.

Find the ratio between 4 l and 9 kl

(i)

1

:

2247
(ii)

1

:

2250
(iii)

1

:

2253
(iv)

0

:

2250

Question 42

42.

Find the ratio between 17 hr and 6 days

(i)

17

:

147
(ii)

16

:

144
(iii)

17

:

142
(iv)

17

:

144

Assignment Key