EduSahara™ Worksheet

Question 1

1.

The ratio equivalent of the fraction
3
2
=

(i)

3

:

0
(ii)

2

:

3
(iii)

3

:

2
(iv)

3

:

4
(v)

2

:

2

Question 2

2.

The ratio equivalent of the fraction
43
58
=

(i)

43

:

58
(ii)

58

:

43
(iii)

43

:

60
(iv)

43

:

56
(v)

42

:

58

Question 3

3.

The fraction equivalent of the ratio
7

:

10
=

(i)

7
10
(ii)

10
7
(iii)

7
8
(iv)

9
10
(v)

1
2

Question 4

4.

The fraction equivalent of the ratio
78

:

91
=

(i)

76
91
(ii)

78
91
(iii)

91
78
(iv)

78
89
(v)

80
91

Question 5

5.

The antecendent in the ratio
12

:

2
=

(i)

2
(ii)

-1
(iii)

11
(iv)

12
(v)

15

Question 6

6.

The antecendent in the ratio
13
7

:

11
14
=

(i)

13
5
(ii)

11
14
(iii)

13
7
(iv)

15
7
(v)

9
14

Question 7

7.

The consequent in the ratio
20

:

13
=

(i)

18
(ii)

12
(iii)

20
(iv)

13
(v)

15

Question 8

8.

The consequent in the ratio
6
13

:

9
13
=

(i)

11
13
(ii)

9
11
(iii)

6
13
(iv)

4
13
(v)

9
13

Question 9

9.

The simplest form of
1008

:

112
=

(i)

8

:

1
(ii)

9

:

1
(iii)

9

:

-1
(iv)

10

:

1
(v)

1008

:

114

Question 10

10.

Find the product of extremes of
1

:

17
and
2

:

19

(i)

34
(ii)

19
(iii)

21
(iv)

17
(v)

18

Question 11

11.

Find the product of extremes of
17
7

:

1
12
and
12
7

:

14
19

(i)

1
7
(ii)

32
19
(iii)

36
19
(iv)

34
19
(v)

2

Question 12

12.

The ages of A and B are in the ratio 2 : 1. 6 years hence, their ages will be in the ratio 11 : 6. Find their present ages.

(i)

56

:

28
(ii)

64

:

32
(iii)

58

:

29
(iv)

60

:

30

Question 13

13.

The ages of A and B are in the ratio 8 : 9. 5 years ago, their ages were in the ratio 7 : 8. Find their present ages.

(i)

24

:

27
(ii)

32

:

36
(iii)

40

:

45
(iv)

56

:

63

Question 14

14.

The inverse ratio of
13

:

5
=

(i)

13

:

7
(ii)

4

:

13
(iii)

13

:

2
(iv)

104

:

40
(v)

5

:

13

Question 15

15.

(i)

11
(ii)

9
(iii)

8
(iv)

12
(v)

10

Question 16

16.

(i)

4
(ii)

2
(iii)

1
(iv)

(-2)
(v)

0

Question 17

17.

(i)

240
(ii)

237
(iii)

239
(iv)

238
(v)

235

Question 18

18.

(i)

3
(ii)

2
(iii)

5
(iv)

0
(v)

4

Question 19

19.

Find the product of means of
4

:

2
and
18

:

12

(i)

48
(ii)

39
(iii)

35
(iv)

36
(v)

33

Question 20

20.

Find the product of means of
11
8

:

3
5
and
12
5

:

9
7

(i)

99
56
(ii)

36
25
(iii)

36
23
(iv)

34
25
(v)

38
25

Question 21

21.

Which of the ratios is proportional to 30 : 5?

(i)

31

:

5
(ii)

30

:

5
(iii)

30

:

2
(iv)

29

:

5
(v)

30

:

8

Question 22

22.

Divide 4144 in the ratio 18 : 10

(i)

2664 , 1477
(ii)

2663 , 1480
(iii)

2664 , 1480
(iv)

2664 , 1482
(v)

2665 , 1480

Question 23

23.

Divide 8077 in the ratio 17 : 24

(i)

3349 , 4725
(ii)

3348 , 4728
(iii)

3349 , 4728
(iv)

3350 , 4728
(v)

3349 , 4730

Question 24

24.

Divide 2670 in the ratio 2 : 11 : 2

(i)

356 , 1960 , 356
(ii)

356 , 1958 , 356
(iii)

355 , 1958 , 356
(iv)

357 , 1958 , 356
(v)

356 , 1955 , 356

Question 25

25.

Divide 18480 in the ratio 40 : 10 : 34

(i)

8800 , 2202 , 7480
(ii)

8799 , 2200 , 7480
(iii)

8800 , 2200 , 7480
(iv)

8801 , 2200 , 7480
(v)

8800 , 2198 , 7480

Question 26

26.

Find the compound ratio of
3

:

6
and
14

:

13

(i)

42

:

81
(ii)

41

:

78
(iii)

43

:

78
(iv)

42

:

75
(v)

42

:

78

Question 27

27.

A ratio is equal to 13 : 10. If its antecendent is 819, what is its consequent?

(i)

629
(ii)

633
(iii)

630
(iv)

631
(v)

628

Question 28

28.

A ratio is equal to 5 : 6. If its consequent is 630, what is its antecendent?

(i)

526
(ii)

528
(iii)

525
(iv)

524
(v)

522

Question 29

29.

Find the ratio between 7 months and 6 years 3 months

(i)

7

:

77
(ii)

6

:

75
(iii)

7

:

73
(iv)

7

:

75

Question 30

30.

Find the number which bears the same ratio
to
1
2
that
2
9
does to
1
3

(i)

5
17
(ii)

5
13
(iii)

1
5
(iv)

1
3
(v)

7
15

Question 31

31.

Divide 1273 in the ratio
4
9

:

5
3

(i)

268 , 1003
(ii)

269 , 1005
(iii)

268 , 1005
(iv)

268 , 1008
(v)

267 , 1005

Question 32

32.

(i)

u

s

:

q

o
(ii)

uq : so
(iii)

q : so
(iv)

os : uq
(v)

s : uq

Question 33

33.

A certain amount has been divided into two parts in the ratio 3 : 8. If the first part is 78, find the total amount.

(i)

286
(ii)

287
(iii)

285
(iv)

289
(v)

283

Question 34

34.

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

(i)

48,24
(ii)

48,27
(iii)

47,24
(iv)

49,24
(v)

48,21

Question 35

35.

In an examination, the ratio of passes to failures was 2 : 1.
Had 40 less appeared and 15 less passed, the ratio of passes to failures would have been 29 : 11.
How many students appeared for the examination?

(i)

235
(ii)

245
(iii)

240
(iv)

230
(v)

250

Question 36

36.

In a company, the number of engineers to managers is in the ratio 9 : 8 . After a year, when 15 engineers and 15 managers left, the ratio between engineers to managers is 123 : 109 . Find the number of engineers and managers at the beginning?

(i)

1190
(ii)

1200
(iii)

1210
(iv)

1170
(v)

1180

Question 37

37.

Find the ratio between 4 months and 5 years

(i)

1

:

12
(ii)

0

:

15
(iii)

1

:

15
(iv)

1

:

17

Question 38

38.

Find the ratio between 39 min and 20 hr

(i)

13

:

398
(ii)

12

:

400
(iii)

13

:

400
(iv)

13

:

402

Question 39

39.

Find the ratio between 9 m and 6 km

(i)

3

:

2002
(ii)

2

:

2000
(iii)

3

:

2000
(iv)

3

:

1997

Question 40

40.

Find the ratio between 10 gm and 7 kg

(i)

1

:

698
(ii)

1

:

700
(iii)

0

:

700
(iv)

1

:

702

Question 41

41.

Find the ratio between 10 l and 5 kl

(i)

1

:

500
(ii)

1

:

502
(iii)

0

:

500
(iv)

1

:

498

Question 42

42.

Find the ratio between 16 hr and 9 days

(i)

2

:

27
(ii)

2

:

25
(iii)

1

:

27
(iv)

2

:

30

Assignment Key