EduSahara™ Worksheet

Question 1

1.

A student walks from his house to school at 4.19 kmph and arrives 40.90 min late. The next day he walks at 21.36 kmph and reaches the school 3.70 min before time. What is the distance from his house to school?

(i)

5.88 km
(ii)

1.88 km
(iii)

2.88 km
(iv)

3.88 km
(v)

4.88 km

Question 2

2.

A student walks from his house to school at 11.76 kmph and arrives 7.60 min late. The next day he walks at 31.53 kmph and reaches the school 10.90 min before time. At what speed must he travel to reach the school on time?

(i)

14.84 kmph
(ii)

13.84 kmph
(iii)

16.84 kmph
(iv)

15.84 kmph
(v)

17.84 kmph

Question 3

3.

A train crosses a telegraph post in 23.73 sec and a bridge 2265.46 m long in 73.63 sec. What is the length of the train?

(i)

1077.34 m
(ii)

1075.34 m
(iii)

1076.34 m
(iv)

1078.34 m
(v)

1079.34 m

Question 4

4.

A train crosses a telegraph post in 29.49 sec and a bridge 975.99 m long in 60.22 sec. What is the speed of the train?

(i)

33.76 m/sec
(ii)

30.76 m/sec
(iii)

32.76 m/sec
(iv)

29.76 m/sec
(v)

31.76 m/sec

Question 5

5.

A certain number of men can do a work in
72

days
.

How many men are required to complete the work in
18

days
?

(i)

48
(ii)

49
(iii)

51
(iv)

45
(v)

47

Question 6

6.

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

They can do a work together in
5

1
3

days
.

In how many days Q alone can do the work?

(i)

47

days
(ii)

45

days
(iii)

49

days
(iv)

51

days
(v)

48

days

Question 7

7.

What number must be added to each term of the ratio
64

:

288
to make it
15

:

29
?

(i)

176
(ii)

177
(iii)

175
(iv)

173
(v)

179

Question 8

8.

A ratio is equal to 16 : 25. If its antecendent is 560, what is its consequent?

(i)

875
(ii)

876
(iii)

877
(iv)

874
(v)

873

Question 9

9.

A ratio is equal to 35 : 2. If its consequent is 420, what is its antecendent?

(i)

7351
(ii)

7350
(iii)

7349
(iv)

7353
(v)

7347

Question 10

10.

Two numbers are in the ratio 2 : 3. If 10 is added to each number, the ratio becomes 8 : 11. Find the numbers.

(i)

26

:

39
(ii)

28

:

42
(iii)

34

:

51
(iv)

30

:

45
(v)

32

:

48

Question 11

11.

The ratio of two numbers is

2

:

4

and their LCM is 56. Find the numbers.

(i)

30

:

60
(ii)

26

:

52
(iii)

24

:

48
(iv)

32

:

64
(v)

28

:

56

Question 12

12.

Find the number which bears the same ratio
to
2
5
that
1
2
does to
11
30

(i)

4
11
(ii)

2
3
(iii)

6
11
(iv)

8
11
(v)

6
13

Question 13

13.

The ages of A and B are in the ratio 10 : 7. 6 years hence, their ages will be in the ratio 11 : 8. Find their present ages.

(i)

40

:

28
(ii)

80

:

56
(iii)

60

:

42
(iv)

50

:

35

Question 14

14.

The ages of A and B are in the ratio 8 : 5. 7 years ago, their ages were in the ratio 7 : 4. Find their present ages.

(i)

40

:

25
(ii)

56

:

35
(iii)

72

:

45
(iv)

48

:

30

Question 15

15.

(i)

49
(ii)

47
(iii)

46
(iv)

48
(v)

50

Question 16

16.

The ratio of males to females in a committee of 330 members is 13 : 20. How many more ladies should be added to the committee so that the ratio of males to females is 13 : 27?

(i)

67
(ii)

73
(iii)

69
(iv)

71
(v)

70

Question 17

17.

In an examination, the ratio of passes to failures was 8 : 5.
Had 80 less appeared and 15 less passed, the ratio of passes to failures would have been 141 : 77.
How many students appeared for the examination?

(i)

1165
(ii)

1160
(iii)

1180
(iv)

1175
(v)

1170

Question 18

18.

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)

180
(ii)

170
(iii)

160
(iv)

190
(v)

200

Question 19

19.

Two angles of a triangle measure 54° and 58° respectively. Find the measure of the third angle of the triangle

(i)

68°
(ii)

66°
(iii)

70°
(iv)

69°
(v)

67°

Question 20

20.

The angles of a triangle ABC are in the ratio 4 : 3 : 8. Find the measure of each angle of the triangle

(i)

A

=

48°

,

B

=

36°

,

C

=

96°
(ii)

A

=

46°

,

B

=

36°

,

C

=

98°
(iii)

A

=

50°

,

B

=

36°

,

C

=

94°
(iv)

A

=

46°

,

B

=

38°

,

C

=

96°
(v)

A

=

48°

,

B

=

34°

,

C

=

98°

Question 21

21.

In △DEF, if ∠D = 67° and ∠E = 67°, find the measure of ∠F

(i)

F

=

46°
(ii)

F

=

45°
(iii)

F

=

47°
(iv)

F

=

44°
(v)

F

=

48°

Question 22

22.

In △GHI, if ∠G = 60° and ∠H = ∠I, find the measure of each of the equal angles of the triangle

(i)

62°
(ii)

58°
(iii)

60°
(iv)

59°
(v)

61°

Question 23

23.

One angle of a triangle measures 25° and the other two angles are in the ratio 9 : 22. Find these angles.

(i)

B

=

45°

,

C

=

110°
(ii)

B

=

46°

,

C

=

111°
(iii)

B

=

44°

,

C

=

109°
(iv)

B

=

43°

,

C

=

108°
(v)

B

=

47°

,

C

=

112°

Question 24

24.

In a right-angled triangle, the two acute angles are in the ratio 13 : 5. Find these angles.

(i)

A

=

66°

,

C

=

26°
(ii)

A

=

64°

,

C

=

24°
(iii)

A

=

65°

,

C

=

25°
(iv)

A

=

67°

,

C

=

27°
(v)

A

=

63°

,

C

=

23°

Question 25

25.

The speed of a motor boat is 17.63 m/sec and the speed of a stream is 9.63 m/sec. A & B are two location adjacent to a stream. If it takes 682.47 sec to go from point A to B and come back, What is the distance between A and B?

(i)

4222.02 m
(ii)

4221.02 m
(iii)

4219.02 m
(iv)

4223.02 m
(v)

4220.02 m

Assignment Key