EduSahara™ Worksheet

Question 1

1.

A can do a work in
x
days and B can do it in
(

x

+

3

)
days.

Both of them working together can do it in
18

16
73
days. Calculate
x

(i)

36
(ii)

35
(iii)

32
(iv)

37
(v)

34

Question 2

2.

Find the number which is less than its square by 156

(i)

15
(ii)

10
(iii)

13
(iv)

12
(v)

14

Question 3

3.

A play field is
70.00 m
by
60.00 m
.
It has a road all around it on the outside.

Find the width of the road if its area is
19
7
of the area of the play field

(i)

29.00 m
(ii)

32.00 m
(iii)

31.00 m
(iv)

28.00 m
(v)

30.00 m

Question 4

4.

The product of two consecutive numbers is 156. Find the numbers

(i)

11 , 12 or -11 , -12
(ii)

12 , 13 or -12,-13
(iii)

13 , 14 or -13 , -14
(iv)

15 , 16 or -15 , -16
(v)

9 , 10 or -9 , -10

Question 5

5.

One pipe can fill a cistern in
8
hours less than the other.

The two pipes together can fill it in
10

7
11
hrs.

Find the time that each pipe will take to fill the cistern.

(i)

16 hr , 23 hr
(ii)

18 hr , 26 hr
(iii)

17 hr , 25 hr
(iv)

21 hr , 28 hr
(v)

19 hr , 27 hr

Question 6

6.

In a two digit number, the unit's digit exceeds it ten's digit by 1 and the product of the given number and the sum of its digits is equal to 115 . Find the number

(i)

45
(ii)

34
(iii)

23
(iv)

56
(v)

12

Question 7

7.

The sum of the squares of two consecutive even numbers is 164. Find the numbers

(i)
(-9)

,

(-7)

or

9

,

7
(ii)
(-13)

,

(-11)

or

13

,

11
(iii)
(-10)

,

(-8)

or

10

,

8
(iv)
(-11)

,

(-9)

or

11

,

9
(v)
(-7)

,

(-6)

or

7

,

6

Question 8

8.

The perimeter of a rectangular room is 22.00 m and the length of its diagonal is 9.22 m . Find the dimensions of the room

(i)

7.00 m , 4.00 m
(ii)

8.00 m , 3.00 m
(iii)

11.00 m , 0.00 m
(iv)

10.00 m , 1.00 m
(v)

9.00 m , 2.00 m

Question 9

9.

The sum of the ages of a father and his son is 54 years whereas four years ago, the product of their ages was 385. Find the current ages of the son and the father.

(i)

17 years , 37 years
(ii)

16 years , 38 years
(iii)

14 years , 40 years
(iv)

15 years , 39 years
(v)

13 years , 41 years

Question 10

10.

The sum of the squares of two consecutive odd numbers is 650. Find the numbers

(i)
(-16)

,

(-14)

or

16

,

14
(ii)
(-19)

,

(-17)

or

19

,

17
(iii)
(-20)

,

(-18)

or

20

,

18
(iv)
(-18)

,

(-16)

or

18

,

16
(v)
(-21)

,

(-19)

or

21

,

19

Question 11

11.

A number is of two digits. The digit in unit's place is the square of the digit in ten's place. The number formed by reversing the digits exceeds twice the number by 15 . Find the number

(i)

39
(ii)

40
(iii)

41
(iv)

38
(v)

36

Question 12

12.

Three consecutive natural numbers are such that the square of the middle number exceeds the difference of the squares of the other two by 32 . Find the three numbers.

(i)

4, 5, 6
(ii)

6, 7, 8
(iii)

9, 10, 11
(iv)

7, 8, 9
(v)

8, 9, 10

Question 13

13.

The denominator of a fraction exceeds the numerator by
6
.

The square of the fraction is equal to
16
49
. Find the fraction

(i)

4
7
(ii)

1
2
(iii)

3
7
(iv)

5
7
(v)

2
3

Question 14

14.

A number is of two digits. The digit in unit's place is the square of the digit in ten's place. The number formed by reversing the digits exceeds twice the number by 15 . Find the number

(i)

38
(ii)

36
(iii)

42
(iv)

40
(v)

39

Question 15

15.

The sum of the numerator and denominator of a fraction is
45
.

If
3
is added to both the numerator and denominator,

the fraction is increased by
3
140
. Find the fraction

(i)

22
25
(ii)

20
25
(iii)

18
25
(iv)

25
20
(v)

20
23

Question 16

16.

A two digit number is such that the product of the digits is 0. When 54 is subtracted from the number, the digits are reversed. Find the number

(i)

62
(ii)

59
(iii)

60
(iv)

61
(v)

58

Question 17

17.

If the difference of two numbers is 2 and their product is 99, find the numbers

(i)
(-9)

,

(-11)

or

9

,

11
(ii)
(-12)

,

(-14)

or

12

,

14
(iii)
(-10)

,

(-12)

or

10

,

12
(iv)
(-8)

,

(-10)

or

8

,

10
(v)
(-6)

,

(-9)

or

6

,

9

Question 18

18.

The denominator of a fraction exceeds the numerator by
6
.

The square of the fraction is equal to
1
4
. Find the fraction

(i)

3
7
(ii)

1
3
(iii)

1
2
(iv)

2
3
(v)

3
5

Question 19

19.

Twice the square of a number exceeds 2 times the number by 4. Find the number

(i)

5
(ii)

1
(iii)

2
(iv)

3
(v)

(-1)

Question 20

20.

Find two natural numbers which differ by 16 and the sum of whose squares is 1696

(i)

(

19

,

35

)
(ii)

(

21

,

37

)
(iii)

(

22

,

38

)
(iv)

(

17

,

33

)
(v)

(

20

,

36

)

Question 21

21.

64 is divided into two parts such that the sum of their reciprocals is
64
799
.

Find the two parts

(i)

(

15

,

49

)
(ii)

(

16

,

48

)
(iii)

(

17

,

47

)
(iv)

(

19

,

45

)
(v)

(

18

,

46

)

Question 22

22.

The product of two consecutive even numbers is 8. Find the numbers

(i)

-5 , -3 or 5 , 3
(ii)

-3 , -1 or 3 , 1
(iii)

-7 , -5 or 7 , 5
(iv)

-1 , 1 or 1 , -1
(v)

-4 , -2 or 4,2

Question 23

23.

Find the number which exceeds its reciprocal by
1

1
2

(i)

4
(ii)

1
(iii)

2
(iv)

0
(v)

3

Question 24

24.

The area of a rectangular room is 532.00 sq.m. If the length and breadth are increased by 5 m, the area would become 817.00 sq.m. Find the original dimensions of the room

(i)

14.00 m , 38.00 m
(ii)

6.00 m , 88.67 m
(iii)

4.00 m , 133.00 m
(iv)

3.00 m , 177.33 m
(v)

7.00 m , 76.00 m

Question 25

25.

A stream flows from A to B, a distance of 13.00 km. A man who can row in still water at 5.00 kmph, can row up and down in 8.12 hr . What is the speed of the stream?

(i)

5.00 kmph
(ii)

3.00 kmph
(iii)

1.00 kmph
(iv)

2.00 kmph
(v)

4.00 kmph

Assignment Key