EduSahara™ Worksheet

Question 1

1.

The ratio equivalent of the fraction
3
7
=

(i)

3

:

7
(ii)

7

:

3
(iii)

2

:

7
(iv)

3

:

4
(v)

3

:

10

Question 2

2.

The ratio equivalent of the fraction
89
69
=

(i)

88

:

69
(ii)

89

:

72
(iii)

89

:

67
(iv)

69

:

89
(v)

89

:

69

Question 3

3.

The fraction equivalent of the ratio
10

:

7
=

(i)

12
7
(ii)

7
10
(iii)

2
(iv)

8
7
(v)

10
7

Question 4

4.

The fraction equivalent of the ratio
75

:

66
=

(i)

66
75
(ii)

7
6
(iii)

75
64
(iv)

75
66
(v)

73
66

Question 5

5.

The antecendent in the ratio
13

:

6
=

(i)

4
(ii)

16
(iii)

12
(iv)

6
(v)

13

Question 6

6.

The antecendent in the ratio
7
4

:

11
15
=

(i)

3
5
(ii)

9
4
(iii)

7
2
(iv)

7
4
(v)

11
15

Question 7

7.

The consequent in the ratio
16

:

5
=

(i)

8
(ii)

4
(iii)

5
(iv)

14
(v)

16

Question 8

8.

The consequent in the ratio
4
13

:

3
20
=

(i)

4
13
(ii)

2
13
(iii)

1
6
(iv)

3
20
(v)

1
4

Question 9

9.

The simplest form of
45

:

315
=

(i)

45

:

318
(ii)

1

:

4
(iii)

0

:

7
(iv)

1

:

7
(v)

2

:

7

Question 10

10.

Find the product of extremes of
5

:

10
and
5

:

4

(i)

19
(ii)

18
(iii)

22
(iv)

20
(v)

50

Question 11

11.

Find the product of extremes of
1
3

:

7
15
and
11
16

:

14
9

(i)

16
27
(ii)

14
27
(iii)

77
240
(iv)

14
25
(v)

4
9

Question 12

12.

The ages of A and B are in the ratio 8 : 5. 9 years hence, their ages will be in the ratio 3 : 2. Find their present ages.

(i)

88

:

55
(ii)

64

:

40
(iii)

72

:

45
(iv)

56

:

35

Question 13

13.

The ages of A and B are in the ratio 5 : 9. 6 years ago, their ages were in the ratio 1 : 2. Find their present ages.

(i)

30

:

54
(ii)

40

:

72
(iii)

20

:

36
(iv)

25

:

45

Question 14

14.

The inverse ratio of
7

:

6
=

(i)

63

:

54
(ii)

7

:

3
(iii)

6

:

7
(iv)

7

:

9
(v)

5

:

7

Question 15

15.

(i)

17
(ii)

19
(iii)

20
(iv)

18
(v)

16

Question 16

16.

(i)

6
(ii)

8
(iii)

4
(iv)

5
(v)

7

Question 17

17.

(i)

28
(ii)

33
(iii)

30
(iv)

31
(v)

29

Question 18

18.

(i)

7
(ii)

5
(iii)

8
(iv)

6
(v)

9

Question 19

19.

Find the product of means of
19

:

8
and
2

:

12

(i)

16
(ii)

15
(iii)

13
(iv)

228
(v)

18

Question 20

20.

Find the product of means of
13
6

:

17
19
and
14
13

:

12
19

(i)

26
19
(ii)

236
247
(iii)

238
247
(iv)

240
247
(v)

34
35

Question 21

21.

Which of the ratios is proportional to 32 : 8?

(i)

28

:

10
(ii)

29

:

7
(iii)

27

:

7
(iv)

28

:

7
(v)

28

:

5

Question 22

22.

Divide 792 in the ratio 19 : 17

(i)

418 , 372
(ii)

418 , 374
(iii)

417 , 374
(iv)

418 , 377
(v)

419 , 374

Question 23

23.

Divide 7004 in the ratio 35 : 33

(i)

3606 , 3399
(ii)

3605 , 3396
(iii)

3604 , 3399
(iv)

3605 , 3399
(v)

3605 , 3402

Question 24

24.

Divide 2030 in the ratio 2 : 7 : 5

(i)

290 , 1013 , 725
(ii)

289 , 1015 , 725
(iii)

291 , 1015 , 725
(iv)

290 , 1015 , 725
(v)

290 , 1017 , 725

Question 25

25.

Divide 12045 in the ratio 14 : 37 : 22

(i)

2311 , 6105 , 3630
(ii)

2310 , 6102 , 3630
(iii)

2310 , 6108 , 3630
(iv)

2310 , 6105 , 3630
(v)

2309 , 6105 , 3630

Question 26

26.

Find the compound ratio of
15

:

9
and
16

:

18

(i)

240

:

165
(ii)

240

:

162
(iii)

241

:

162
(iv)

239

:

162
(v)

240

:

160

Question 27

27.

A ratio is equal to 1 : 4. If its antecendent is 840, what is its consequent?

(i)

3360
(ii)

3359
(iii)

3361
(iv)

3362
(v)

3357

Question 28

28.

A ratio is equal to 28 : 5. If its consequent is 900, what is its antecendent?

(i)

5037
(ii)

5042
(iii)

5040
(iv)

5041
(v)

5039

Question 29

29.

Find the ratio between 5 months and 4 years 6 months

(i)

5

:

51
(ii)

5

:

54
(iii)

4

:

54
(iv)

5

:

57

Question 30

30.

Find the number which bears the same ratio
to
3
4
that
3
7
does to
45
119

(i)

3
4
(ii)

17
22
(iii)

17
20
(iv)

19
20
(v)

17
18

Question 31

31.

Divide 920 in the ratio
4
9

:

8
5

(i)

201 , 720
(ii)

199 , 720
(iii)

200 , 722
(iv)

200 , 718
(v)

200 , 720

Question 32

32.

(i)

j

o

:

p

x
(ii)

o : jp
(iii)

p : ox
(iv)

jp : ox
(v)

xo : jp

Question 33

33.

A certain amount has been divided into two parts in the ratio 5 : 6. If the first part is 175, find the total amount.

(i)

383
(ii)

385
(iii)

388
(iv)

384
(v)

386

Question 34

34.

Two numbers are in the ratio 2 : 1 and their difference is 24. Find the numbers.

(i)

47,24
(ii)

48,26
(iii)

48,21
(iv)

48,24
(v)

49,24

Question 35

35.

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

(i)

155
(ii)

160
(iii)

150
(iv)

165
(v)

170

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)

90
(ii)

80
(iii)

110
(iv)

100
(v)

70

Question 37

37.

Find the ratio between 7 months and 9 years

(i)

7

:

111
(ii)

7

:

108
(iii)

7

:

106
(iv)

6

:

108

Question 38

38.

Find the ratio between 35 min and 13 hr

(i)

7

:

156
(ii)

6

:

156
(iii)

7

:

153
(iv)

7

:

159

Question 39

39.

Find the ratio between 4 m and 4 km

(i)

1

:

1003
(ii)

0

:

1000
(iii)

1

:

998
(iv)

1

:

1000

Question 40

40.

Find the ratio between 10 gm and 8 kg

(i)

1

:

803
(ii)

1

:

798
(iii)

1

:

800
(iv)

0

:

800

Question 41

41.

Find the ratio between 5 l and 8 kl

(i)

1

:

1598
(ii)

1

:

1603
(iii)

0

:

1600
(iv)

1

:

1600

Question 42

42.

Find the ratio between 13 hr and 10 days

(i)

13

:

240
(ii)

13

:

238
(iii)

13

:

243
(iv)

12

:

240

Assignment Key