EduSahara™ Worksheet

Question 1

1.

A student walks from his house to school at 5.90 kmph and arrives 26.10 min late. The next day he walks at 18.57 kmph and reaches the school 10.00 min before time. What is the distance from his house to school?

(i)

4.20 km
(ii)

6.20 km
(iii)

3.20 km
(iv)

5.20 km
(v)

7.20 km

Question 2

2.

A student walks from his house to school at 4.80 kmph and arrives 0.50 min late. The next day he walks at 7.10 kmph and reaches the school 16.50 min before time. At what speed must he travel to reach the school on time?

(i)

6.85 kmph
(ii)

2.85 kmph
(iii)

4.85 kmph
(iv)

5.85 kmph
(v)

3.85 kmph

Question 3

3.

A train crosses a telegraph post in 33.47 sec and a bridge 1169.83 m long in 68.06 sec. What is the length of the train?

(i)

1133.96 m
(ii)

1131.96 m
(iii)

1132.96 m
(iv)

1129.96 m
(v)

1130.96 m

Question 4

4.

A train crosses a telegraph post in 29.31 sec and a bridge 1876.63 m long in 71.51 sec. What is the speed of the train?

(i)

44.47 m/sec
(ii)

45.47 m/sec
(iii)

43.47 m/sec
(iv)

42.47 m/sec
(v)

46.47 m/sec

Question 5

5.

A certain number of men can do a work in
54

days
.

How many men are required to complete the work in
12

days
?

(i)

63
(ii)

62
(iii)

64
(iv)

61
(v)

66

Question 6

6.

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

They can do a work together in
4

6
11

days
.

In how many days Q alone can do the work?

(i)

52

days
(ii)

50

days
(iii)

47

days
(iv)

51

days
(v)

49

days

Question 7

7.

What number must be added to each term of the ratio
36

:

90
to make it
14

:

17
?

(i)

216
(ii)

217
(iii)

215
(iv)

213
(v)

218

Question 8

8.

A ratio is equal to 3 : 16. If its antecendent is 1260, what is its consequent?

(i)

6719
(ii)

6723
(iii)

6721
(iv)

6718
(v)

6720

Question 9

9.

A ratio is equal to 3 : 4. If its consequent is 6300, what is its antecendent?

(i)

4724
(ii)

4727
(iii)

4723
(iv)

4726
(v)

4725

Question 10

10.

Two numbers are in the ratio 1 : 2. If 16 is added to each number, the ratio becomes 23 : 30. Find the numbers.

(i)

6

:

12
(ii)

7

:

14
(iii)

8

:

16
(iv)

5

:

10
(v)

9

:

18

Question 11

11.

The ratio of two numbers is

1

:

3

and their LCM is 21. Find the numbers.

(i)

6

:

18
(ii)

5

:

15
(iii)

8

:

24
(iv)

7

:

21
(v)

9

:

27

Question 12

12.

Find the number which bears the same ratio
to
1
8
that
3
4
does to
13
96

(i)

9
13
(ii)

9
11
(iii)

3
5
(iv)

11
13
(v)

7
13

Question 13

13.

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

(i)

26

:

39
(ii)

28

:

42
(iii)

30

:

45
(iv)

34

:

51

Question 14

14.

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

(i)

21

:

30
(ii)

28

:

40
(iii)

49

:

70
(iv)

35

:

50

Question 15

15.

(i)

41
(ii)

43
(iii)

37
(iv)

39
(v)

40

Question 16

16.

The ratio of males to females in a committee of 143 members is 8 : 3. How many more ladies should be added to the committee so that the ratio of males to females is 104 : 79?

(i)

40
(ii)

38
(iii)

41
(iv)

39
(v)

43

Question 17

17.

In an examination, the ratio of passes to failures was 2 : 1.
Had 50 less appeared and 15 less passed, the ratio of passes to failures would have been 21 : 5.
How many students appeared for the examination?

(i)

180
(ii)

190
(iii)

185
(iv)

175
(v)

170

Question 18

18.

In a company, the number of engineers to managers is in the ratio 2 : 1 . After a year, when 15 engineers and 20 managers left, the ratio between engineers to managers is 9 : 2 . Find the number of engineers and managers at the beginning?

(i)

80
(ii)

70
(iii)

100
(iv)

90
(v)

110

Question 19

19.

Two angles of a triangle measure 55° and 57° respectively. Find the measure of the third angle of the triangle

(i)

68°
(ii)

69°
(iii)

67°
(iv)

66°
(v)

70°

Question 20

20.

The angles of a triangle ABC are in the ratio 11 : 6 : 28. Find the measure of each angle of the triangle

(i)

A

=

44°

,

B

=

24°

,

C

=

112°
(ii)

A

=

44°

,

B

=

22°

,

C

=

114°
(iii)

A

=

46°

,

B

=

24°

,

C

=

110°
(iv)

A

=

42°

,

B

=

26°

,

C

=

112°
(v)

A

=

42°

,

B

=

24°

,

C

=

114°

Question 21

21.

In △CDE, if ∠C = 56° and ∠D = 62°, find the measure of ∠E

(i)

E

=

63°
(ii)

E

=

64°
(iii)

E

=

60°
(iv)

E

=

62°
(v)

E

=

61°

Question 22

22.

In △IJK, if ∠I = 50° and ∠J = ∠K, find the measure of each of the equal angles of the triangle

(i)

67°
(ii)

65°
(iii)

63°
(iv)

64°
(v)

66°

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

=

43°

,

C

=

73°
(ii)

B

=

44°

,

C

=

74°
(iii)

B

=

45°

,

C

=

75°
(iv)

B

=

46°

,

C

=

76°
(v)

B

=

47°

,

C

=

77°

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

=

67°

,

C

=

27°
(iii)

A

=

65°

,

C

=

25°
(iv)

A

=

63°

,

C

=

23°
(v)

A

=

64°

,

C

=

24°

Question 25

25.

The speed of a motor boat is 19.81 m/sec and the speed of a stream is 14.81 m/sec. A & B are two location adjacent to a stream. If it takes 455.02 sec to go from point A to B and come back, What is the distance between A and B?

(i)

1986.98 m
(ii)

1989.98 m
(iii)

1987.98 m
(iv)

1988.98 m
(v)

1985.98 m

Assignment Key