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# Sample Paper - 9, Maths, Class 8 Class 8 Notes | EduRev

## Sample Papers For Class 8

Created by: Indu Gupta

## Class 8 : Sample Paper - 9, Maths, Class 8 Class 8 Notes | EduRev

``` Page 1

CLASS- VIII  Page 1
SUBJECT - MATHS
Class   : VIII
Subject: MATHS
General Instructions :
(i) The question paper consists of four sections : A, B, C, and D
Section – A consists of 8 questions of 1 mark each; Section-B
Consists of 6 questions of 2 marks each; Section – C consists
Of 10 questions of 3 marks each and Section – D consists 10
Questions of 4 mark each.
(ii) All questions are compulsory.

SECTION – A

1.
The value of x which satisfy the exponential equation v )
x-4
= 1
1
2. The relation between simple interest of a sum P and compound interest  1
For same sum P for one year at R% per annum is
(i) S.I. = C.I.   (ii)     C.I. = P + S.I.   (iii)    C.I. = P – S.I. (iv)  none
3. If  degp(x) = m and degq(x) = n then deg[ p(x).q(x)] is, if m > n 1
(i) m – n  (ii)    m – n     (iii)  mn          (iv)    None of these
4. If p(x) is a factor of q(x) then the degree of remainder is 1
(i) 0      (ii)   1        (c)  degr(x) < degq(x)  (d)   Not defined
5. If  and  are the diagonals of a rhombus then the side of the rhombus 1




v



(ii)


a.b     (iii)



      (iv)   None of these

6. If 125 cm
3
is the volume of a cube then the total surface area of the
same cube is
1
(i)  5 cm
2
(b)  25 cm
2
(c)  150 cm
2
(iv) None of these
7. The angle of rotation of an equilateral triangle is 1
(a) 60
o
(ii)  120
o
(iii)      90
o
(iv)      180
o

8. The order of rotation of windmill is  1
(i) 3            (b)    4        (iv)         5     (d)  Not defined

SECTION - B
9. Find the value of (512)
-2/9
2
10. Evaluate 4 × 81
-1/2
[81
1/2
+ 81
2/3
] 2
11.
Solve the linear equation



=



2
OR

Find the positive value of x in



=



12. Find the measure of x in the fig.
30
o

30
o



120
o

2
13. Raju painted the outside of a cabinet on all sides except the bottom. If
the cabinet measure 1m × 2m × 1.5m, how much surface did she paint.
2
14. Write two letters of English alphabet which exhibit, both line as well as
rotational symmetry.

2
Page 2

CLASS- VIII  Page 1
SUBJECT - MATHS
Class   : VIII
Subject: MATHS
General Instructions :
(i) The question paper consists of four sections : A, B, C, and D
Section – A consists of 8 questions of 1 mark each; Section-B
Consists of 6 questions of 2 marks each; Section – C consists
Of 10 questions of 3 marks each and Section – D consists 10
Questions of 4 mark each.
(ii) All questions are compulsory.

SECTION – A

1.
The value of x which satisfy the exponential equation v )
x-4
= 1
1
2. The relation between simple interest of a sum P and compound interest  1
For same sum P for one year at R% per annum is
(i) S.I. = C.I.   (ii)     C.I. = P + S.I.   (iii)    C.I. = P – S.I. (iv)  none
3. If  degp(x) = m and degq(x) = n then deg[ p(x).q(x)] is, if m > n 1
(i) m – n  (ii)    m – n     (iii)  mn          (iv)    None of these
4. If p(x) is a factor of q(x) then the degree of remainder is 1
(i) 0      (ii)   1        (c)  degr(x) < degq(x)  (d)   Not defined
5. If  and  are the diagonals of a rhombus then the side of the rhombus 1




v



(ii)


a.b     (iii)



      (iv)   None of these

6. If 125 cm
3
is the volume of a cube then the total surface area of the
same cube is
1
(i)  5 cm
2
(b)  25 cm
2
(c)  150 cm
2
(iv) None of these
7. The angle of rotation of an equilateral triangle is 1
(a) 60
o
(ii)  120
o
(iii)      90
o
(iv)      180
o

8. The order of rotation of windmill is  1
(i) 3            (b)    4        (iv)         5     (d)  Not defined

SECTION - B
9. Find the value of (512)
-2/9
2
10. Evaluate 4 × 81
-1/2
[81
1/2
+ 81
2/3
] 2
11.
Solve the linear equation



=



2
OR

Find the positive value of x in



=



12. Find the measure of x in the fig.
30
o

30
o



120
o

2
13. Raju painted the outside of a cabinet on all sides except the bottom. If
the cabinet measure 1m × 2m × 1.5m, how much surface did she paint.
2
14. Write two letters of English alphabet which exhibit, both line as well as
rotational symmetry.

2
CLASS- VIII  Page 2
SUBJECT - MATHS

SECTION – C

15. If 5
x
+ 5
x+1
= 150 find the value of ( 2x )
1/2x
3
16. At what rate percent will a sum of Rs 6400 be compounded to 68,921 in 3
3 years.
OR
Calculate the compound interest on Rs 24,000 for 6 months if the
interest is payable quarterly at the rate of 8% p.a.
3
17. The value of refrigerator which was purchased two years ago,
depreciates at 12% p.a. if its present value is Rs 9680 for how much
was it purchased.
3
18. Divide 2x( 4x
2
+ 5) – 6x
2
+ 3 by 1 + 4x 3
OR
Prove that 3x + 1 is a factor of 12x
3
– 2x
2
+ x +1
19. Using factor method divide x
4
+ 3x
2
– 10 by x
2
+ 5 3
20.
Solve the equation

 	


=


3
21. The sum of three consecutive multiples of 8 is 888. Find three multiples. 3
22. Find the sum of interior angles of a pentagon. 3
23. Construct a quadrilateral ABCD in which side AB = 4 cm, BC = 5 cm,  3
CD = 4.5 cm and diagonal AC = 6.5 cm and BD = 7.5 cm.
24. A rectangular sheet of paper 88 cm × 10 cm is rolled along its length
and cylinder is formed. Find the volume of the cylinder so obtained.
3
OR
If a rectangular sheet whose length is 8 cm and breadth is 6 cm is
rotated about its length. Find the volume of solid so formed.

3
SECTION – D

25. Simplify [ (64)
-1/6
   (216)
-1/3
 (81)
1/4
]  [(512)
-1/3
 (16)
1/4
 (9)
-1/2
] 4
26. The difference between the compound interest and simple interest on a  4
Certain sum of money at 15% per annum for 3 years is Rs 283.50. Find
the sum.

27. A certain sum of money at compound interest becomes Rs 7,396 in 2
years and Rs 7,950.70 in 3 years. Find the rate of interest.
4
28. Divide - 1 + x
4
29. 5 years ago, a mother was7 times as old as her daughter,5 years hence;
she will be 3 times as old as her daughter. Find their present age
4
30. Pair of adjacent sides of a rectangle are in the ratio 3:4.If its diagonal is
20 cm, find the lengths of sides and hence, the perimeter of the
rectangle.
4
31. ABCD is a parallelogram. AP bisect   and CQ bisect  . P lies on
CD and Q lies on AP show that (i) AP  CQ      (ii)  AQCP is a gram.
4
32. Construction a quadrilateral ABCD in which AB = 4 cm, BC = 5 cm, CD
= 4.5 cm,  B = 60
o
  = 135
o

4
33. The outer diameter of a gas cylinder is 20 cm. Find the cost of the
painting of its outer curved surface at Rs 4 per sq. centimeter if the
height of cylinder is 70 cm.
4
34. Three solid metal cubes with edges 6 cm, 8 cm, and 10 cm respectively
are melted together formed into a single cube. Find the volume of new
cube.
4

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