EduSahara™ Worksheet

Question 1

1.

The product of two consecutive odd numbers is 143. Find the numbers

(i)

-14 , -12 or 14 , 12
(ii)

-11 , -9 or 11 , 9
(iii)

-12 , -10 or 12 , 10
(iv)

-13 , -11 or 13,11
(v)

-15 , -13 or 15 , 13

Question 2

2.

If the difference of two numbers is 1 and their product is 20, find the numbers

(i)
(-2)

,

(-3)

or

2

,

3
(ii)
(-5)

,

(-6)

or

5

,

6
(iii)
(-6)

,

(-8)

or

6

,

8
(iv)
(-4)

,

(-5)

or

4

,

5
(v)
(-3)

,

(-4)

or

3

,

4

Question 3

3.

Find the number which exceeds its reciprocal by
7

7
8

(i)

7
(ii)

6
(iii)

10
(iv)

9
(v)

8

Question 4

4.

The sum of the squares of two consecutive even numbers is 452. Find the numbers

(i)
(-15)

,

(-13)

or

15

,

13
(ii)
(-18)

,

(-16)

or

18

,

16
(iii)
(-14)

,

(-11)

or

14

,

11
(iv)
(-17)

,

(-15)

or

17

,

15
(v)
(-16)

,

(-14)

or

16

,

14

Question 5

5.

The sum of the squares of two consecutive odd numbers is 10. Find the numbers

(i)
0

,

2

or

0

,

(-2)
(ii)
(-1)

,

1

or

1

,

(-1)
(iii)
1

,

3

or

(-1)

,

(-3)
(iv)
4

,

5

or

(-4)

,

(-5)
(v)
2

,

4

or

(-2)

,

(-4)

Question 6

6.

Find the number which is less than its square by 156

(i)

12
(ii)

10
(iii)

15
(iv)

14
(v)

13

Question 7

7.

Twice the square of a number exceeds 4 times the number by 70. Find the number

(i)

(-6)
(ii)

(-8)
(iii)

(-5)
(iv)

(-2)
(v)

(-4)

Question 8

8.

The denominator of a fraction exceeds the numerator by
1
.

The square of the fraction is equal to
400
441
. Find the fraction

(i)

22
21
(ii)

20
23
(iii)

20
21
(iv)

20
19
(v)

6
7

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)

23
(ii)

21
(iii)

27
(iv)

24
(v)

25

Question 10

10.

The perimeter of a rectangular room is 82.00 m and the length of its diagonal is 31.38 m . Find the dimensions of the room

(i)

27.00 m , 14.00 m
(ii)

30.00 m , 11.00 m
(iii)

31.00 m , 10.00 m
(iv)

29.00 m , 12.00 m
(v)

28.00 m , 13.00 m

Question 11

11.

The area of a rectangular room is 504.00 sq.m. If the length and breadth are increased by 10 m, the area would become 2314.00 sq.m. Find the original dimensions of the room

(i)

6.00 m , 84.00 m
(ii)

5.00 m , 100.80 m
(iii)

3.00 m , 168.00 m
(iv)

4.00 m , 126.00 m

Question 12

12.

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

Find the width of the road if its area is
11
4
of the area of the play field

(i)

34.00 m
(ii)

33.00 m
(iii)

35.00 m
(iv)

37.00 m
(v)

36.00 m

Question 13

13.

A stream flows from A to B, a distance of 9.00 km. A man who can row in still water at 7.00 kmph, can row up and down in 5.25 hr . What is the speed of the stream?

(i)

5.00 kmph
(ii)

4.00 kmph
(iii)

6.00 kmph
(iv)

3.00 kmph
(v)

7.00 kmph

Question 14

14.

Find two natural numbers which differ by 11 and the sum of whose squares is 3673

(i)

(

39

,

50

)
(ii)

(

35

,

46

)
(iii)

(

36

,

47

)
(iv)

(

38

,

49

)
(v)

(

37

,

48

)

Question 15

15.

53 is divided into two parts such that the sum of their reciprocals is
53
322
.

Find the two parts

(i)

(

8

,

45

)
(ii)

(

9

,

44

)
(iii)

(

6

,

47

)
(iv)

(

5

,

48

)
(v)

(

7

,

46

)

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 192 . Find the three numbers.

(i)

14, 15, 16
(ii)

13, 14, 15
(iii)

17, 18, 19
(iv)

15, 16, 17
(v)

16, 17, 18

Question 17

17.

In a two digit number, the unit's digit exceeds it ten's digit by 4 and the product of the given number and the sum of its digits is equal to 208 . Find the number

(i)

37
(ii)

26
(iii)

15
(iv)

59
(v)

48

Question 18

18.

A two digit number is such that the product of the digits is 27. When 54 is added to the number, the digits are reversed. Find the number

(i)

38
(ii)

42
(iii)

39
(iv)

36
(v)

40

Question 19

19.

The sum of the numerator and denominator of a fraction is
21
.

If
8
is added to both the numerator and denominator,

the fraction is increased by
19
70
. Find the fraction

(i)

1
18
(ii)

(
-1
20
)
(iii)

20
1
(iv)

1
20
(v)

3
20

Question 20

20.

The sum of the ages of a father and his son is 42 years whereas six years ago, the product of their ages was 104. Find the current ages of the son and the father.

(i)

9 years , 33 years
(ii)

12 years , 30 years
(iii)

8 years , 34 years
(iv)

11 years , 31 years
(v)

10 years , 32 years

Question 21

21.

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

x

−

4

)
days.

Both of them working together can do it in
12

21
50
days. Calculate
x

(i)

24
(ii)

27
(iii)

26
(iv)

28
(v)

30

Question 22

22.

One pipe can fill a cistern in
1
hours less than the other.

The two pipes together can fill it in
4

14
19
hrs.

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

(i)

9 hr , 10 hr
(ii)

8 hr , 9 hr
(iii)

11 hr , 12 hr
(iv)

10 hr , 11 hr
(v)

7 hr , 7 hr

Assignment Key