Class 8 Math: Sample Question Paper - 9 | Mathematics (Maths) Class 8 PDF Download

 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
 by – 1+ x and verify your answer. 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