EduSahara™ Worksheet

Question 1

1.

A student walks from his house to school at 5.59 kmph and arrives 39.90 min late. The next day he walks at 21.60 kmph and reaches the school 3.10 min before time. What is the distance from his house to school?

(i)

4.40 km
(ii)

5.40 km
(iii)

6.40 km
(iv)

7.40 km
(v)

3.40 km

Question 2

2.

A student walks from his house to school at 5.40 kmph and arrives 9.70 min late. The next day he walks at 29.33 kmph and reaches the school 37.70 min before time. At what speed must he travel to reach the school on time?

(i)

8.48 kmph
(ii)

5.48 kmph
(iii)

7.48 kmph
(iv)

4.48 kmph
(v)

6.48 kmph

Question 3

3.

A train crosses a telegraph post in 49.24 sec and a bridge 460.29 m long in 69.67 sec. What is the length of the train?

(i)

1107.38 m
(ii)

1110.38 m
(iii)

1108.38 m
(iv)

1109.38 m
(v)

1111.38 m

Question 4

4.

A train crosses a telegraph post in 49.24 sec and a bridge 503.20 m long in 98.00 sec. What is the speed of the train?

(i)

9.32 m/sec
(ii)

12.32 m/sec
(iii)

8.32 m/sec
(iv)

11.32 m/sec
(v)

10.32 m/sec

Question 5

5.

A certain number of men can do a work in
18

days
.

How many men are required to complete the work in
16

days
?

(i)

60
(ii)

64
(iii)

63
(iv)

62
(v)

65

Question 6

6.

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

They can do a work together in
7

5
7

days
.

In how many days Q alone can do the work?

(i)

54

days
(ii)

53

days
(iii)

56

days
(iv)

55

days
(v)

51

days

Question 7

7.

What number must be added to each term of the ratio
300

:

400
to make it
29

:

34
?

(i)

280
(ii)

282
(iii)

278
(iv)

279
(v)

281

Question 8

8.

A ratio is equal to 1 : 1. If its antecendent is 3675, what is its consequent?

(i)

3672
(ii)

3675
(iii)

3674
(iv)

3676
(v)

3677

Question 9

9.

A ratio is equal to 119 : 8. If its consequent is 240, what is its antecendent?

(i)

3570
(ii)

3573
(iii)

3569
(iv)

3571
(v)

3568

Question 10

10.

Two numbers are in the ratio 1 : 13. If 20 is added to each number, the ratio becomes 11 : 63. Find the numbers.

(i)

12

:

156
(ii)

11

:

143
(iii)

13

:

169
(iv)

14

:

182
(v)

15

:

195

Question 11

11.

The ratio of two numbers is

5

:

3

and their LCM is 150. Find the numbers.

(i)

60

:

36
(ii)

55

:

33
(iii)

45

:

27
(iv)

40

:

24
(v)

50

:

30

Question 12

12.

Find the number which bears the same ratio
to
3
8
that
2
4
does to
33
80

(i)

5
11
(ii)

5
9
(iii)

3
11
(iv)

5
13
(v)

7
11

Question 13

13.

The ages of A and B are in the ratio 5 : 6. 10 years hence, their ages will be in the ratio 6 : 7. Find their present ages.

(i)

40

:

48
(ii)

45

:

54
(iii)

60

:

72
(iv)

50

:

60

Question 14

14.

The ages of A and B are in the ratio 7 : 5. 10 years ago, their ages were in the ratio 3 : 2. Find their present ages.

(i)

84

:

60
(ii)

70

:

50
(iii)

56

:

40
(iv)

63

:

45

Question 15

15.

(i)

41
(ii)

42
(iii)

44
(iv)

43
(v)

40

Question 16

16.

The ratio of males to females in a committee of 165 members is 10 : 1. How many more ladies should be added to the committee so that the ratio of males to females is 50 : 21?

(i)

49
(ii)

47
(iii)

46
(iv)

48
(v)

51

Question 17

17.

In an examination, the ratio of passes to failures was 3 : 2.
Had 115 less appeared and 20 less passed, the ratio of passes to failures would have been 32 : 5.
How many students appeared for the examination?

(i)

295
(ii)

290
(iii)

310
(iv)

305
(v)

300

Question 18

18.

In a company, the number of engineers to managers is in the ratio 9 : 8 . After a year, when 20 engineers and 20 managers left, the ratio between engineers to managers is 61 : 54 . Find the number of engineers and managers at the beginning?

(i)

1180
(ii)

1190
(iii)

1210
(iv)

1200
(v)

1170

Question 19

19.

Two angles of a triangle measure 62° and 66° respectively. Find the measure of the third angle of the triangle

(i)

53°
(ii)

54°
(iii)

52°
(iv)

50°
(v)

51°

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

=

56°

,

B

=

36°

,

C

=

88°
(v)

A

=

52°

,

B

=

36°

,

C

=

92°

Question 21

21.

In △IJK, if ∠I = 58° and ∠J = 58°, find the measure of ∠K

(i)

K

=

65°
(ii)

K

=

66°
(iii)

K

=

63°
(iv)

K

=

62°
(v)

K

=

64°

Question 22

22.

In △EFG, if ∠E = 50° and ∠F = ∠G, find the measure of each of the equal angles of the triangle

(i)

65°
(ii)

64°
(iii)

67°
(iv)

66°
(v)

63°

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

=

45°

,

C

=

75°
(ii)

B

=

47°

,

C

=

77°
(iii)

B

=

44°

,

C

=

74°
(iv)

B

=

46°

,

C

=

76°
(v)

B

=

43°

,

C

=

73°

Question 24

24.

In a right-angled triangle, the two acute angles are in the ratio 7 : 2. Find these angles.

(i)

A

=

68°

,

C

=

18°
(ii)

A

=

72°

,

C

=

22°
(iii)

A

=

71°

,

C

=

21°
(iv)

A

=

70°

,

C

=

20°
(v)

A

=

69°

,

C

=

19°

Question 25

25.

The speed of a motor boat is 13.43 m/sec and the speed of a stream is 7.43 m/sec. A & B are two location adjacent to a stream. If it takes 637.80 sec to go from point A to B and come back, What is the distance between A and B?

(i)

2973.97 m
(ii)

2971.97 m
(iii)

2970.97 m
(iv)

2969.97 m
(v)

2972.97 m

Assignment Key