EduSahara™ Worksheet

Question 1

1.

The product of two consecutive numbers is 12. Find the numbers

(i)

2 , 3 or -2 , -3
(ii)

4 , 5 or -4 , -5
(iii)

6 , 6 or -6 , -6
(iv)

0 , 2 or 0 , -2
(v)

3 , 4 or -3,-4

Question 2

2.

If the difference of two numbers is 2 and their product is 168, find the numbers

(i)
12

,

9

or

(-12)

,

(-9)
(ii)
17

,

14

or

(-17)

,

(-14)
(iii)
13

,

11

or

(-13)

,

(-11)
(iv)
15

,

13

or

(-15)

,

(-13)
(v)
14

,

12

or

(-14)

,

(-12)

Question 3

3.

Find the number which exceeds its reciprocal by
19

19
20

(i)

20
(ii)

21
(iii)

22
(iv)

19
(v)

18

Question 4

4.

The sum of the squares of two consecutive even numbers is 4. Find the numbers

(i)
(-1)

,

1

or

1

,

(-1)
(ii)
(-3)

,

(-1)

or

3

,

1
(iii)
(-2)

,

0

or

2

,

0
(iv)
(-5)

,

(-3)

or

5

,

3
(v)
1

,

2

or

(-1)

,

(-2)

Question 5

5.

The sum of the squares of two consecutive odd numbers is 74. Find the numbers

(i)
(-6)

,

(-4)

or

6

,

4
(ii)
(-7)

,

(-5)

or

7

,

5
(iii)
(-9)

,

(-8)

or

9

,

8
(iv)
(-8)

,

(-6)

or

8

,

6
(v)
(-5)

,

(-3)

or

5

,

3

Question 6

6.

Find the number which is less than its square by 420

(i)

21
(ii)

20
(iii)

23
(iv)

22
(v)

18

Question 7

7.

Twice the square of a number exceeds 3 times the number by 527. Find the number

(i)

18
(ii)

14
(iii)

17
(iv)

19
(v)

16

Question 8

8.

The denominator of a fraction exceeds the numerator by
8
.

The square of the fraction is equal to
49
121
. Find the fraction

(i)

6
11
(ii)

7
12
(iii)

8
11
(iv)

7
10
(v)

7
11

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)

27
(ii)

21
(iii)

23
(iv)

25
(v)

24

Question 10

10.

The perimeter of a rectangular room is 38.00 m and the length of its diagonal is 17.12 m . Find the dimensions of the room

(i)

19.00 m , 0.00 m
(ii)

17.00 m , 2.00 m
(iii)

15.00 m , 4.00 m
(iv)

16.00 m , 3.00 m
(v)

18.00 m , 1.00 m

Question 11

11.

The area of a rectangular room is 96.00 sq.m. If the length and breadth are increased by 3 m, the area would become 165.00 sq.m. Find the original dimensions of the room

(i)

4.00 m , 24.00 m
(ii)

2.00 m , 48.00 m
(iii)

12.00 m , 8.00 m
(iv)

3.00 m , 32.00 m

Question 12

12.

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)

32.00 m
(ii)

28.00 m
(iii)

30.00 m
(iv)

29.00 m
(v)

31.00 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 6.00 kmph, can row up and down in 3.77 hr . What is the speed of the stream?

(i)

0.00 kmph
(ii)

3.00 kmph
(iii)

2.00 kmph
(iv)

9.00 kmph
(v)

1.00 kmph

Question 14

14.

Find two natural numbers which differ by 4 and the sum of whose squares is 1576

(i)

(

26

,

30

)
(ii)

(

25

,

29

)
(iii)

(

28

,

32

)
(iv)

(

24

,

28

)
(v)

(

27

,

31

)

Question 15

15.

32 is divided into two parts such that the sum of their reciprocals is
32
207
.

Find the two parts

(i)

(

23

,

9

)
(ii)

(

25

,

7

)
(iii)

(

22

,

10

)
(iv)

(

24

,

8

)
(v)

(

21

,

11

)

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 117 . Find the three numbers.

(i)

11, 12, 13
(ii)

13, 14, 15
(iii)

12, 13, 14
(iv)

10, 11, 12
(v)

14, 15, 16

Question 17

17.

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 871 . Find the number

(i)

56
(ii)

78
(iii)

67
(iv)

89
(v)

45

Question 18

18.

A two digit number is such that the product of the digits is 8. When 63 is added to the number, the digits are reversed. Find the number

(i)

21
(ii)

19
(iii)

18
(iv)

15
(v)

17

Question 19

19.

The sum of the numerator and denominator of a fraction is
13
.

If
9
is added to both the numerator and denominator,

the fraction is increased by
27
136
. Find the fraction

(i)

5
8
(ii)

5
6
(iii)

3
8
(iv)

8
5
(v)

7
8

Question 20

20.

The sum of the ages of a father and his son is 54 years whereas six years ago, the product of their ages was 320. Find the current ages of the son and the father.

(i)

18 years , 36 years
(ii)

15 years , 39 years
(iii)

14 years , 40 years
(iv)

17 years , 37 years
(v)

16 years , 38 years

Question 21

21.

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

x

−

16

)
days.

Both of them working together can do it in
15
days. Calculate
x

(i)

39
(ii)

37
(iii)

41
(iv)

43
(v)

40

Question 22

22.

One pipe can fill a cistern in
10
hours less than the other.

The two pipes together can fill it in
12
hrs.

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

(i)

23 hr , 32 hr
(ii)

20 hr , 30 hr
(iii)

17 hr , 28 hr
(iv)

19 hr , 29 hr
(v)

21 hr , 31 hr

Assignment Key