EduSahara™ Worksheet

Question 1

1.

The product of two consecutive odd numbers is 399. Find the numbers

(i)

20 , 22 or -20 , -22
(ii)

19 , 21 or -19,-21
(iii)

17 , 18 or -17 , -18
(iv)

18 , 20 or -18 , -20
(v)

21 , 24 or -21 , -24

Question 2

2.

If the difference of two numbers is 7 and their product is 170, find the numbers

(i)
19

,

12

or

(-19)

,

(-12)
(ii)
16

,

9

or

(-16)

,

(-9)
(iii)
18

,

11

or

(-18)

,

(-11)
(iv)
17

,

10

or

(-17)

,

(-10)
(v)
14

,

8

or

(-14)

,

(-8)

Question 3

3.

Find the number which exceeds its reciprocal by
3

3
4

(i)

4
(ii)

5
(iii)

2
(iv)

7
(v)

3

Question 4

4.

The sum of the squares of two consecutive even numbers is 20. Find the numbers

(i)
2

,

4

or

(-2)

,

(-4)
(ii)
1

,

3

or

(-1)

,

(-3)
(iii)
3

,

5

or

(-3)

,

(-5)
(iv)
0

,

2

or

0

,

(-2)
(v)
4

,

7

or

(-4)

,

(-7)

Question 5

5.

The sum of the squares of two consecutive odd numbers is 514. Find the numbers

(i)
(-20)

,

(-17)

or

20

,

17
(ii)
(-18)

,

(-16)

or

18

,

16
(iii)
(-15)

,

(-12)

or

15

,

12
(iv)
(-17)

,

(-15)

or

17

,

15
(v)
(-16)

,

(-14)

or

16

,

14

Question 6

6.

Find the number which is less than its square by 342

(i)

21
(ii)

19
(iii)

17
(iv)

18
(v)

20

Question 7

7.

Twice the square of a number exceeds 3 times the number by 135. Find the number

(i)

7
(ii)

10
(iii)

12
(iv)

8
(v)

9

Question 8

8.

The denominator of a fraction exceeds the numerator by
6
.

The square of the fraction is equal to
49
169
. Find the fraction

(i)

7
13
(ii)

7
15
(iii)

7
11
(iv)

9
13
(v)

5
13

Question 9

9.

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 (-6) . Find the number

(i)

25
(ii)

27
(iii)

24
(iv)

23
(v)

21

Question 10

10.

The perimeter of a rectangular room is 80.00 m and the length of its diagonal is 29.97 m . Find the dimensions of the room

(i)

26.00 m , 14.00 m
(ii)

28.00 m , 12.00 m
(iii)

29.00 m , 11.00 m
(iv)

27.00 m , 13.00 m
(v)

25.00 m , 15.00 m

Question 11

11.

The area of a rectangular room is 64.00 sq.m. If the length and breadth are increased by 3 m, the area would become 175.00 sq.m. Find the original dimensions of the room

(i)

8.00 m , 8.00 m
(ii)

7.00 m , 9.14 m
(iii)

32.00 m , 2.00 m
(iv)

3.00 m , 21.33 m
(v)

4.00 m , 16.00 m

Question 12

12.

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

Find the width of the road if its area is
3
4
of the area of the play field

(i)

1.50 m
(ii)

3.50 m
(iii)

0.50 m
(iv)

2.50 m
(v)

4.50 m

Question 13

13.

A stream flows from A to B, a distance of 11.00 km. A man who can row in still water at 9.00 kmph, can row up and down in 2.75 hr . What is the speed of the stream?

(i)

5.00 kmph
(ii)

1.00 kmph
(iii)

4.00 kmph
(iv)

3.00 kmph
(v)

2.00 kmph

Question 14

14.

Find two natural numbers which differ by 13 and the sum of whose squares is 769

(i)

(

10

,

23

)
(ii)

(

13

,

26

)
(iii)

(

12

,

25

)
(iv)

(

14

,

27

)
(v)

(

11

,

24

)

Question 15

15.

43 is divided into two parts such that the sum of their reciprocals is
43
252
.

Find the two parts

(i)

(

36

,

7

)
(ii)

(

34

,

9

)
(iii)

(

37

,

6

)
(iv)

(

35

,

8

)
(v)

(

38

,

5

)

Question 16

16.

Three consecutive natural numbers are such that the square of the middle number exceeds the difference of the squares of the other two by 45 . Find the three numbers.

(i)

5, 6, 7
(ii)

8, 9, 10
(iii)

7, 8, 9
(iv)

11, 12, 13
(v)

9, 10, 11

Question 17

17.

In a two digit number, the unit's digit exceeds it ten's digit by 3 and the product of the given number and the sum of its digits is equal to 70 . Find the number

(i)

36
(ii)

47
(iii)

14
(iv)

25

Question 18

18.

A two digit number is such that the product of the digits is 36. When 45 is added to the number, the digits are reversed. Find the number

(i)

49
(ii)

52
(iii)

48
(iv)

50
(v)

46

Question 19

19.

The sum of the numerator and denominator of a fraction is
10
.

If
9
is added to both the numerator and denominator,

the fraction is increased by
4
9
. Find the fraction

(i)

(
-1
9
)
(ii)

9
1
(iii)

1
7
(iv)

1
3
(v)

1
9

Question 20

20.

The sum of the ages of a father and his son is 73 years whereas three years ago, the product of their ages was 850. Find the current ages of the son and the father.

(i)

22 years , 51 years
(ii)

19 years , 54 years
(iii)

20 years , 53 years
(iv)

18 years , 55 years
(v)

21 years , 52 years

Question 21

21.

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

x

+

5

)
days.

Both of them working together can do it in
10

4
41
days. Calculate
x

(i)

15
(ii)

21
(iii)

17
(iv)

19
(v)

18

Question 22

22.

One pipe can fill a cistern in
4
hours less than the other.

The two pipes together can fill it in
9

15
38
hrs.

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

(i)

20 hr , 23 hr
(ii)

18 hr , 22 hr
(iii)

17 hr , 21 hr
(iv)

16 hr , 20 hr
(v)

14 hr , 18 hr

Assignment Key