EduSahara™ Worksheet

Question 1

1.

A student walks from his house to school at 6.16 kmph and arrives 12.70 min late. The next day he walks at 9.46 kmph and reaches the school 6.60 min before time. What is the distance from his house to school?

(i)

3.69 km
(ii)

4.69 km
(iii)

6.69 km
(iv)

7.69 km
(v)

5.69 km

Question 2

2.

A student walks from his house to school at 3.36 kmph and arrives 26.30 min late. The next day he walks at 6.27 kmph and reaches the school 0.90 min before time. At what speed must he travel to reach the school on time?

(i)

7.09 kmph
(ii)

8.09 kmph
(iii)

5.09 kmph
(iv)

6.09 kmph
(v)

4.09 kmph

Question 3

3.

A train crosses a telegraph post in 28.26 sec and a bridge 1516.07 m long in 59.41 sec. What is the length of the train?

(i)

1377.41 m
(ii)

1374.41 m
(iii)

1375.41 m
(iv)

1376.41 m
(v)

1373.41 m

Question 4

4.

A train crosses a telegraph post in 42.76 sec and a bridge 2069.69 m long in 86.05 sec. What is the speed of the train?

(i)

48.81 m/sec
(ii)

47.81 m/sec
(iii)

45.81 m/sec
(iv)

49.81 m/sec
(v)

46.81 m/sec

Question 5

5.

A certain number of men can do a work in
30

days
.

How many men are required to complete the work in
24

days
?

(i)

40
(ii)

41
(iii)

42
(iv)

39
(v)

37

Question 6

6.

Person P is
ten times
as good a workman as Person Q.

They can do a work together in
5

5
11

days
.

In how many days Q alone can do the work?

(i)

60

days
(ii)

59

days
(iii)

63

days
(iv)

61

days
(v)

57

days

Question 7

7.

What number must be added to each term of the ratio
28

:

42
to make it
19

:

20
?

(i)

239
(ii)

240
(iii)

237
(iv)

236
(v)

238

Question 8

8.

A ratio is equal to 21 : 38. If its antecendent is 735, what is its consequent?

(i)

1328
(ii)

1331
(iii)

1332
(iv)

1329
(v)

1330

Question 9

9.

A ratio is equal to 7 : 1. If its consequent is 340, what is its antecendent?

(i)

2380
(ii)

2377
(iii)

2381
(iv)

2379
(v)

2382

Question 10

10.

Two numbers are in the ratio 1 : 7. If 14 is added to each number, the ratio becomes 1 : 3. Find the numbers.

(i)

9

:

63
(ii)

8

:

56
(iii)

7

:

49
(iv)

5

:

35
(v)

6

:

42

Question 11

11.

The ratio of two numbers is

3

:

5

and their LCM is 165. Find the numbers.

(i)

33

:

55
(ii)

30

:

50
(iii)

27

:

45
(iv)

36

:

60
(v)

39

:

65

Question 12

12.

Find the number which bears the same ratio
to
1
2
that
2
5
does to
3
5

(i)

1
9
(ii)

1
3
(iii)

3
11
(iv)

3
7
(v)

5
9

Question 13

13.

The ages of A and B are in the ratio 6 : 5. 9 years hence, their ages will be in the ratio 7 : 6. Find their present ages.

(i)

54

:

45
(ii)

66

:

55
(iii)

48

:

40
(iv)

42

:

35

Question 14

14.

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

(i)

63

:

56
(ii)

27

:

24
(iii)

45

:

40
(iv)

36

:

32

Question 15

15.

(i)

28
(ii)

31
(iii)

32
(iv)

30
(v)

29

Question 16

16.

The ratio of males to females in a committee of 105 members is 4 : 3. How many more ladies should be added to the committee so that the ratio of males to females is 20 : 33?

(i)

57
(ii)

53
(iii)

55
(iv)

51
(v)

54

Question 17

17.

In an examination, the ratio of passes to failures was 7 : 4.
Had 245 less appeared and 15 less passed, the ratio of passes to failures would have been 109 : 18.
How many students appeared for the examination?

(i)

875
(ii)

885
(iii)

890
(iv)

870
(v)

880

Question 18

18.

In a company, the number of engineers to managers is in the ratio 3 : 1 . After a year, when 20 engineers and 15 managers left, the ratio between engineers to managers is 38 : 11 . Find the number of engineers and managers at the beginning?

(i)

270
(ii)

260
(iii)

280
(iv)

290
(v)

300

Question 19

19.

Two angles of a triangle measure 56° and 56° respectively. Find the measure of the third angle of the triangle

(i)

69°
(ii)

68°
(iii)

67°
(iv)

70°
(v)

66°

Question 20

20.

The angles of a triangle ABC are in the ratio 3 : 2 : 5. Find the measure of each angle of the triangle

(i)

A

=

54°

,

B

=

36°

,

C

=

90°
(ii)

A

=

54°

,

B

=

34°

,

C

=

92°
(iii)

A

=

52°

,

B

=

38°

,

C

=

90°
(iv)

A

=

52°

,

B

=

36°

,

C

=

92°
(v)

A

=

56°

,

B

=

36°

,

C

=

88°

Question 21

21.

In △BCD, if ∠B = 54° and ∠C = 64°, find the measure of ∠D

(i)

D

=

61°
(ii)

D

=

60°
(iii)

D

=

63°
(iv)

D

=

64°
(v)

D

=

62°

Question 22

22.

In △CDE, if ∠C = 90° and ∠D = ∠E, find the measure of each of the equal angles of the triangle

(i)

44°
(ii)

43°
(iii)

47°
(iv)

45°
(v)

46°

Question 23

23.

One angle of a triangle measures 60° and the other two angles are in the ratio 3 : 5. Find these angles.

(i)

B

=

46°

,

C

=

76°
(ii)

B

=

47°

,

C

=

77°
(iii)

B

=

44°

,

C

=

74°
(iv)

B

=

43°

,

C

=

73°
(v)

B

=

45°

,

C

=

75°

Question 24

24.

In a right-angled triangle, the two acute angles are in the ratio 7 : 11. Find these angles.

(i)

A

=

34°

,

C

=

54°
(ii)

A

=

33°

,

C

=

53°
(iii)

A

=

36°

,

C

=

56°
(iv)

A

=

35°

,

C

=

55°
(v)

A

=

37°

,

C

=

57°

Question 25

25.

The speed of a motor boat is 17.62 m/sec and the speed of a stream is 11.62 m/sec. A & B are two location adjacent to a stream. If it takes 241.44 sec to go from point A to B and come back, What is the distance between A and B?

(i)

1202.99 m
(ii)

1201.99 m
(iii)

1199.99 m
(iv)

1203.99 m
(v)

1200.99 m

Assignment Key