EduSahara™ Worksheet

Question 1

1.

The ratio equivalent of the fraction
3
10
=

(i)

3

:

10
(ii)

3

:

13
(iii)

3

:

8
(iv)

2

:

10
(v)

10

:

3

Question 2

2.

The ratio equivalent of the fraction
47
20
=

(i)

20

:

47
(ii)

47

:

20
(iii)

47

:

23
(iv)

47

:

18
(v)

46

:

20

Question 3

3.

The fraction equivalent of the ratio
6

:

7
=

(i)

6
5
(ii)

8
7
(iii)

7
6
(iv)

6
7
(v)

4
7

Question 4

4.

The fraction equivalent of the ratio
91

:

68
=

(i)

91
68
(ii)

89
68
(iii)

68
91
(iv)

93
68
(v)

91
66

Question 5

5.

The antecendent in the ratio
20

:

1
=

(i)

19
(ii)

20
(iii)

22
(iv)

-1
(v)

1

Question 6

6.

The antecendent in the ratio
10
3

:

19
20
=

(i)

17
20
(ii)

4
(iii)

19
20
(iv)

10
(v)

10
3

Question 7

7.

The consequent in the ratio
15

:

11
=

(i)

11
(ii)

13
(iii)

10
(iv)

15

Question 8

8.

The consequent in the ratio
1
16

:

18
13
=

(i)

18
13
(ii)

20
13
(iii)

1
16
(iv)

(
-1
16
)
(v)

18
11

Question 9

9.

The simplest form of
180

:

285
=

(i)

12

:

19
(ii)

180

:

287
(iii)

12

:

17
(iv)

13

:

19
(v)

11

:

19

Question 10

10.

Find the product of extremes of
15

:

16
and
8

:

17

(i)

255
(ii)

253
(iii)

128
(iv)

257
(v)

254

Question 11

11.

Find the product of extremes of
19
13

:

1
2
and
17
6

:

8
17

(i)

152
219
(ii)

17
12
(iii)

152
221
(iv)

154
221
(v)

150
221

Question 12

12.

The ages of A and B are in the ratio 3 : 5. 8 years hence, their ages will be in the ratio 7 : 11. Find their present ages.

(i)

45

:

75
(ii)

48

:

80
(iii)

54

:

90
(iv)

42

:

70

Question 13

13.

The ages of A and B are in the ratio 2 : 3. 8 years ago, their ages were in the ratio 5 : 8. Find their present ages.

(i)

46

:

69
(ii)

48

:

72
(iii)

44

:

66
(iv)

52

:

78

Question 14

14.

The inverse ratio of
22

:

30
=

(i)

30

:

22
(ii)

22

:

28
(iii)

198

:

270
(iv)

29

:

22
(v)

22

:

32

Question 15

15.

(i)

33
(ii)

31
(iii)

29
(iv)

32
(v)

34

Question 16

16.

(i)

8
(ii)

4
(iii)

6
(iv)

10
(v)

7

Question 17

17.

(i)

16
(ii)

17
(iii)

18
(iv)

20
(v)

19

Question 18

18.

(i)

4
(ii)

2
(iii)

1
(iv)

3
(v)

(-1)

Question 19

19.

Find the product of means of
13

:

11
and
19

:

9

(i)

208
(ii)

117
(iii)

212
(iv)

209
(v)

207

Question 20

20.

Find the product of means of
15
11

:

8
7
and
17
11

:

9
2

(i)

136
77
(ii)

134
77
(iii)

135
22
(iv)

136
75
(v)

138
77

Question 21

21.

Which of the ratios is proportional to 24 : 4?

(i)

30

:

3
(ii)

29

:

5
(iii)

30

:

8
(iv)

30

:

5
(v)

31

:

5

Question 22

22.

Divide 1683 in the ratio 6 : 11

(i)

595 , 1089
(ii)

593 , 1089
(iii)

594 , 1089
(iv)

594 , 1087
(v)

594 , 1092

Question 23

23.

Divide 9600 in the ratio 30 : 18

(i)

6000 , 3598
(ii)

6001 , 3600
(iii)

6000 , 3603
(iv)

5999 , 3600
(v)

6000 , 3600

Question 24

24.

Divide 4110 in the ratio 12 : 8 : 10

(i)

1644 , 1098 , 1370
(ii)

1644 , 1094 , 1370
(iii)

1643 , 1096 , 1370
(iv)

1645 , 1096 , 1370
(v)

1644 , 1096 , 1370

Question 25

25.

Divide 13034 in the ratio 35 : 40 : 23

(i)

4656 , 5320 , 3059
(ii)

4655 , 5320 , 3059
(iii)

4655 , 5322 , 3059
(iv)

4654 , 5320 , 3059
(v)

4655 , 5317 , 3059

Question 26

26.

Find the compound ratio of
3

:

1
and
5

:

12

(i)

14

:

12
(ii)

16

:

12
(iii)

15

:

10
(iv)

15

:

15
(v)

15

:

12

Question 27

27.

A ratio is equal to 15 : 34. If its antecendent is 525, what is its consequent?

(i)

1188
(ii)

1191
(iii)

1189
(iv)

1190
(v)

1192

Question 28

28.

A ratio is equal to 6 : 25. If its consequent is 1400, what is its antecendent?

(i)

336
(ii)

334
(iii)

339
(iv)

335
(v)

337

Question 29

29.

Find the ratio between 6 months and 4 years 2 months

(i)

3

:

28
(ii)

2

:

25
(iii)

3

:

25
(iv)

3

:

22

Question 30

30.

Find the number which bears the same ratio
to
1
5
that
3
6
does to
1
7

(i)

9
10
(ii)

7
12
(iii)

1
2
(iv)

7
10
(v)

7
8

Question 31

31.

Divide 1692 in the ratio
7
2

:

6
5

(i)

1260 , 429
(ii)

1259 , 432
(iii)

1261 , 432
(iv)

1260 , 432
(v)

1260 , 434

Question 32

32.

(i)

j : tl
(ii)

t

j

:

l

u
(iii)

l : ju
(iv)

uj : tl
(v)

tl : ju

Question 33

33.

A certain amount has been divided into two parts in the ratio 5 : 6. If the first part is 110, find the total amount.

(i)

239
(ii)

242
(iii)

241
(iv)

243
(v)

244

Question 34

34.

Two numbers are in the ratio 9 : 4 and their difference is 120. Find the numbers.

(i)

216,99
(ii)

215,96
(iii)

217,96
(iv)

216,93
(v)

216,96

Question 35

35.

In an examination, the ratio of passes to failures was 3 : 2.
Had 35 less appeared and 15 less passed, the ratio of passes to failures would have been 9 : 4.
How many students appeared for the examination?

(i)

105
(ii)

90
(iii)

100
(iv)

110
(v)

95

Question 36

36.

In a company, the number of engineers to managers is in the ratio 2 : 1 . After a year, when 20 engineers and 20 managers left, the ratio between engineers to managers is 8 : 3 . Find the number of engineers and managers at the beginning?

(i)

130
(ii)

170
(iii)

150
(iv)

160
(v)

140

Question 37

37.

Find the ratio between 11 months and 8 years

(i)

11

:

96
(ii)

11

:

99
(iii)

10

:

96
(iv)

11

:

94

Question 38

38.

Find the ratio between 42 min and 35 hr

(i)

0

:

50
(ii)

1

:

52
(iii)

1

:

50
(iv)

1

:

48

Question 39

39.

Find the ratio between 10 m and 6 km

(i)

0

:

600
(ii)

1

:

602
(iii)

1

:

600
(iv)

1

:

597

Question 40

40.

Find the ratio between 5 gm and 7 kg

(i)

1

:

1398
(ii)

1

:

1400
(iii)

1

:

1402
(iv)

0

:

1400

Question 41

41.

Find the ratio between 10 l and 5 kl

(i)

1

:

500
(ii)

1

:

497
(iii)

0

:

500
(iv)

1

:

502

Question 42

42.

Find the ratio between 20 hr and 18 days

(i)

5

:

111
(ii)

4

:

108
(iii)

5

:

106
(iv)

5

:

108

Assignment Key