EduSahara™ Worksheet

Question 1

1.

The ratio equivalent of the fraction
6
5
=

(i)

5

:

5
(ii)

6

:

5
(iii)

5

:

6
(iv)

6

:

3
(v)

6

:

8

Question 2

2.

The ratio equivalent of the fraction
65
68
=

(i)

64

:

68
(ii)

68

:

65
(iii)

65

:

65
(iv)

65

:

70
(v)

65

:

68

Question 3

3.

The fraction equivalent of the ratio
6

:

1
=

(i)

4
(ii)

1
6
(iii)

5
(iv)

8
(v)

6
1

Question 4

4.

The fraction equivalent of the ratio
22

:

50
=

(i)

12
25
(ii)

50
22
(iii)

2
5
(iv)

11
24
(v)

22
50

Question 5

5.

The antecendent in the ratio
5

:

13
=

(i)

13
(ii)

8
(iii)

10
(iv)

5
(v)

4

Question 6

6.

The antecendent in the ratio
9
16

:

9
4
=

(i)

11
16
(ii)

9
4
(iii)

9
14
(iv)

7
4
(v)

9
16

Question 7

7.

The consequent in the ratio
10

:

5
=

(i)

10
(ii)

7
(iii)

8
(iv)

5
(v)

4

Question 8

8.

The consequent in the ratio
5
16

:

16
17
=

(i)

5
16
(ii)

18
17
(iii)

16
17
(iv)

3
16
(v)

16
15

Question 9

9.

The simplest form of
588

:

441
=

(i)

5

:

3
(ii)

4

:

1
(iii)

588

:

443
(iv)

3

:

3
(v)

4

:

3

Question 10

10.

Find the product of extremes of
20

:

14
and
20

:

12

(i)

242
(ii)

238
(iii)

240
(iv)

280
(v)

239

Question 11

11.

Find the product of extremes of
4
17

:

11
14
and
3
14

:

15
14

(i)

32
119
(ii)

10
39
(iii)

30
119
(iv)

4
17
(v)

33
196

Question 12

12.

The ages of A and B are in the ratio 5 : 4. 6 years hence, their ages will be in the ratio 11 : 9. Find their present ages.

(i)

70

:

56
(ii)

60

:

48
(iii)

55

:

44
(iv)

50

:

40

Question 13

13.

The ages of A and B are in the ratio 10 : 7. 8 years ago, their ages were in the ratio 3 : 2. Find their present ages.

(i)

70

:

49
(ii)

100

:

70
(iii)

60

:

42
(iv)

80

:

56

Question 14

14.

The inverse ratio of
11

:

23
=

(i)

11

:

26
(ii)

33

:

69
(iii)

22

:

11
(iv)

23

:

11
(v)

11

:

20

Question 15

15.

(i)

17
(ii)

20
(iii)

16
(iv)

19
(v)

18

Question 16

16.

(i)

(-2)
(ii)

1
(iii)

0
(iv)

2
(v)

4

Question 17

17.

(i)

27
(ii)

29
(iii)

28
(iv)

25
(v)

30

Question 18

18.

(i)

0
(ii)

2
(iii)

4
(iv)

3
(v)

5

Question 19

19.

Find the product of means of
13

:

19
and
8

:

11

(i)

143
(ii)

151
(iii)

152
(iv)

155
(v)

149

Question 20

20.

Find the product of means of
19
4

:

19
15
and
2
11

:

15
16

(i)

38
163
(ii)

285
64
(iii)

12
55
(iv)

8
33
(v)

38
165

Question 21

21.

Which of the ratios is proportional to 36 : 9?

(i)

12

:

5
(ii)

11

:

3
(iii)

12

:

3
(iv)

12

:

1
(v)

13

:

3

Question 22

22.

Divide 992 in the ratio 6 : 2

(i)

743 , 248
(ii)

745 , 248
(iii)

744 , 245
(iv)

744 , 251
(v)

744 , 248

Question 23

23.

Divide 7564 in the ratio 27 : 35

(i)

3294 , 4267
(ii)

3294 , 4272
(iii)

3293 , 4270
(iv)

3295 , 4270
(v)

3294 , 4270

Question 24

24.

Divide 6072 in the ratio 15 : 19 : 10

(i)

2069 , 2622 , 1380
(ii)

2070 , 2622 , 1380
(iii)

2070 , 2620 , 1380
(iv)

2070 , 2624 , 1380
(v)

2071 , 2622 , 1380

Question 25

25.

Divide 12300 in the ratio 37 : 19 : 26

(i)

5550 , 2853 , 3900
(ii)

5549 , 2850 , 3900
(iii)

5551 , 2850 , 3900
(iv)

5550 , 2847 , 3900
(v)

5550 , 2850 , 3900

Question 26

26.

Find the compound ratio of
3

:

8
and
2

:

3

(i)

6

:

24
(ii)

7

:

24
(iii)

6

:

26
(iv)

6

:

22
(v)

5

:

24

Question 27

27.

A ratio is equal to 1 : 1. If its antecendent is 2100, what is its consequent?

(i)

2103
(ii)

2101
(iii)

2099
(iv)

2100
(v)

2097

Question 28

28.

A ratio is equal to 1 : 11. If its consequent is 13860, what is its antecendent?

(i)

1260
(ii)

1261
(iii)

1263
(iv)

1259
(v)

1257

Question 29

29.

Find the ratio between 6 months and 4 years 5 months

(i)

5

:

53
(ii)

6

:

53
(iii)

6

:

55
(iv)

6

:

50

Question 30

30.

Find the number which bears the same ratio
to
1
4
that
2
7
does to
17
196

(i)

14
19
(ii)

14
17
(iii)

16
17
(iv)

12
17
(v)

14
15

Question 31

31.

Divide 4672 in the ratio
8
3

:

3
8

(i)

4096 , 573
(ii)

4096 , 576
(iii)

4095 , 576
(iv)

4096 , 578
(v)

4097 , 576

Question 32

32.

(i)

ic : bo
(ii)

bo : ci
(iii)

c : bo
(iv)

b

c

:

o

i
(v)

o : ci

Question 33

33.

A certain amount has been divided into two parts in the ratio 3 : 9. If the first part is 66, find the total amount.

(i)

265
(ii)

264
(iii)

263
(iv)

266
(v)

262

Question 34

34.

Two numbers are in the ratio 3 : 2 and their difference is 24. Find the numbers.

(i)

72,48
(ii)

72,50
(iii)

72,45
(iv)

73,48
(v)

71,48

Question 35

35.

In an examination, the ratio of passes to failures was 3 : 1.
Had 15 less appeared and 10 less passed, the ratio of passes to failures would have been 22 : 7.
How many students appeared for the examination?

(i)

160
(ii)

170
(iii)

165
(iv)

150
(v)

155

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 10 managers left, the ratio between engineers to managers is 2 : 1 . Find the number of engineers and managers at the beginning?

(i)

170
(ii)

190
(iii)

180
(iv)

160
(v)

200

Question 37

37.

Find the ratio between 11 months and 10 years

(i)

10

:

120
(ii)

11

:

118
(iii)

11

:

120
(iv)

11

:

123

Question 38

38.

Find the ratio between 29 min and 29 hr

(i)

1

:

62
(ii)

0

:

60
(iii)

1

:

60
(iv)

1

:

58

Question 39

39.

Find the ratio between 9 m and 7 km

(i)

8

:

7000
(ii)

9

:

7000
(iii)

9

:

6998
(iv)

9

:

7003

Question 40

40.

Find the ratio between 6 gm and 4 kg

(i)

3

:

1997
(ii)

3

:

2003
(iii)

2

:

2000
(iv)

3

:

2000

Question 41

41.

Find the ratio between 8 l and 3 kl

(i)

0

:

375
(ii)

1

:

377
(iii)

1

:

375
(iv)

1

:

372

Question 42

42.

Find the ratio between 4 hr and 17 days

(i)

0

:

102
(ii)

1

:

102
(iii)

1

:

100
(iv)

1

:

104

Assignment Key