Class 8 Science: CBSE Sample Question Paper - 6 | Sample Papers For Class 8 PDF Download

 Page 1


(1/3) 
MATHEMATICS 
 Class VIII  
General Instructions: 
• The question paper consists of 35 questions divided into 4 sections A, B, C and D. Section A 
comprises of 10 questions of 1 mark each. Section B comprises of 7 questions of 3 marks 
each. Section C comprises of 12 questions of 4 marks each. Section D comprises of 6 
questions of 7 marks each. 
• In Section - A all questions are compulsory. In Section – B solve any 5 questions. In Section 
– C solve any 10 questions and in Section – D solve any 5 questions. 
• Draw neat diagrams wherever needed. 
 
SECTION – A (Attempt all questions) 
Q.1 The difference between the highest and the lowest values of a set of data is 
called________. 
Q.2 
The product of (
9
4 -
) , (x
4
y), (xy
3
) and (x
3
y
2
) is______. 
Q.3 How many faces and edges does a triangular prism have? 
Q.4 TSA of a prism = LSA + 2 x ______. 
Q.5 Write 0.0000507 in standard form. 
Q.6 A pipe that fills 25% of a tank in 1 hour will fill it completely in ______ hours. 
Q.7 4x
2 
- 9y
2
 =  ? 
Q.8 A point with y coordinate zero will lie on ______ axis. 
Q.9 If 62y3 is a multiple of 3, where y is a single digit then what should be the minimum 
and maximum value of y? 
Q.10 A number divisible by both 2 and 5 must have ____ in its ones place. 
SECTION – B (Attempt any five questions) 
Q.11 Evaluate using suitable identity: 1.05 × 9.5. 
Q.12 Simplify: 3y(2y – 7) – 3(y – 4) – 63 and evaluate for y = – 2. 
Q.13 Draw the top, side and front view of the given figure.
 
Q.14 Find the length of the altitude of a rhombus if lengths of its two diagonals are 12cm 
and 16cm respectively. 
Q.15 Evaluate : (6
-1 
– 7
-1 
)
-1 
 – (5
-1 
 – 4
-1 
)
-1
. 
Q.16 Write Euler’s formula, then find the number of faces in a solid if the number of 
vertices is 8 and number of edges is 12. 
Q.17 In a stack there are 5 books each of thickness 20mm and 5 paper sheets each of 
thickness 0.016mm. What is the total thickness of the stack? Write in standard form.
 
SECTION – C (Attempt any ten questions) 
Q.18 12 cards numbered 1,2,3,……11,12 are kept in a box and mixed thoroughly. If one 
Page 2


(1/3) 
MATHEMATICS 
 Class VIII  
General Instructions: 
• The question paper consists of 35 questions divided into 4 sections A, B, C and D. Section A 
comprises of 10 questions of 1 mark each. Section B comprises of 7 questions of 3 marks 
each. Section C comprises of 12 questions of 4 marks each. Section D comprises of 6 
questions of 7 marks each. 
• In Section - A all questions are compulsory. In Section – B solve any 5 questions. In Section 
– C solve any 10 questions and in Section – D solve any 5 questions. 
• Draw neat diagrams wherever needed. 
 
SECTION – A (Attempt all questions) 
Q.1 The difference between the highest and the lowest values of a set of data is 
called________. 
Q.2 
The product of (
9
4 -
) , (x
4
y), (xy
3
) and (x
3
y
2
) is______. 
Q.3 How many faces and edges does a triangular prism have? 
Q.4 TSA of a prism = LSA + 2 x ______. 
Q.5 Write 0.0000507 in standard form. 
Q.6 A pipe that fills 25% of a tank in 1 hour will fill it completely in ______ hours. 
Q.7 4x
2 
- 9y
2
 =  ? 
Q.8 A point with y coordinate zero will lie on ______ axis. 
Q.9 If 62y3 is a multiple of 3, where y is a single digit then what should be the minimum 
and maximum value of y? 
Q.10 A number divisible by both 2 and 5 must have ____ in its ones place. 
SECTION – B (Attempt any five questions) 
Q.11 Evaluate using suitable identity: 1.05 × 9.5. 
Q.12 Simplify: 3y(2y – 7) – 3(y – 4) – 63 and evaluate for y = – 2. 
Q.13 Draw the top, side and front view of the given figure.
 
Q.14 Find the length of the altitude of a rhombus if lengths of its two diagonals are 12cm 
and 16cm respectively. 
Q.15 Evaluate : (6
-1 
– 7
-1 
)
-1 
 – (5
-1 
 – 4
-1 
)
-1
. 
Q.16 Write Euler’s formula, then find the number of faces in a solid if the number of 
vertices is 8 and number of edges is 12. 
Q.17 In a stack there are 5 books each of thickness 20mm and 5 paper sheets each of 
thickness 0.016mm. What is the total thickness of the stack? Write in standard form.
 
SECTION – C (Attempt any ten questions) 
Q.18 12 cards numbered 1,2,3,……11,12 are kept in a box and mixed thoroughly. If one 
(2/3) 
card is drawn at random, find the probability of getting a card with: 
i) a prime number   ii) a factor of 12 
iii) a number divisible by 3  iv) a multiple of 2 
Q.19 Evaluate without actual multiplication: 
(i) 98 x 102  (ii) (105)
2
 
Q.20 Simplify: 
(i) (5x – 6) (2x – 3) + (3x + 5)
2
   
(ii) (2x + 5y) (2x + 3y) 
Q.21 Verify Euler’s formula for the given solid. 
 
 
 
 
Q.22 Find the volume of a cube if its total surface area is 150cm
2
. 
Q.23 a) Find m so that (-3)
m+1
 × (-3)
5
 = (-3)
7
 
b) Find the value of (3
0
 + 4
-1
) × 2
2
 
Q.24 A 5m 60cm high pole casts a shadow of length 3m 20cm. 
a)   Find at the same time the length of a shadow cast by another pole 10m 50cm high. 
b)   Find the height of the pole if the length of the shadow is 6m 40cm. 
Q.25 Factorise: 
a) m
4
 – 256  b) x
2
 + xy + 8x + 8y 
Q.26 a) Find the highest common factor of 16x
3
, -4x
2
, 32x. 
b) Factorise x
2
 – 14x + 13 
Q.27 Given below is the histogram showing the weights of 36 students of a hostel: 
 
Answer the following: 
i) What is the class size? 
ii) How many students are there in the class intervals of weights 40-70 and 80-90?  
iii) How many students weigh 70 kg or more? 
Q.28 An aquarium is in the form of a cuboid whose external measures are 80 cm x 30 cm x 
40 cm. The base, side faces and back face are to be covered with the coloured paper. 
Find the area of paper needed. 
Page 3


(1/3) 
MATHEMATICS 
 Class VIII  
General Instructions: 
• The question paper consists of 35 questions divided into 4 sections A, B, C and D. Section A 
comprises of 10 questions of 1 mark each. Section B comprises of 7 questions of 3 marks 
each. Section C comprises of 12 questions of 4 marks each. Section D comprises of 6 
questions of 7 marks each. 
• In Section - A all questions are compulsory. In Section – B solve any 5 questions. In Section 
– C solve any 10 questions and in Section – D solve any 5 questions. 
• Draw neat diagrams wherever needed. 
 
SECTION – A (Attempt all questions) 
Q.1 The difference between the highest and the lowest values of a set of data is 
called________. 
Q.2 
The product of (
9
4 -
) , (x
4
y), (xy
3
) and (x
3
y
2
) is______. 
Q.3 How many faces and edges does a triangular prism have? 
Q.4 TSA of a prism = LSA + 2 x ______. 
Q.5 Write 0.0000507 in standard form. 
Q.6 A pipe that fills 25% of a tank in 1 hour will fill it completely in ______ hours. 
Q.7 4x
2 
- 9y
2
 =  ? 
Q.8 A point with y coordinate zero will lie on ______ axis. 
Q.9 If 62y3 is a multiple of 3, where y is a single digit then what should be the minimum 
and maximum value of y? 
Q.10 A number divisible by both 2 and 5 must have ____ in its ones place. 
SECTION – B (Attempt any five questions) 
Q.11 Evaluate using suitable identity: 1.05 × 9.5. 
Q.12 Simplify: 3y(2y – 7) – 3(y – 4) – 63 and evaluate for y = – 2. 
Q.13 Draw the top, side and front view of the given figure.
 
Q.14 Find the length of the altitude of a rhombus if lengths of its two diagonals are 12cm 
and 16cm respectively. 
Q.15 Evaluate : (6
-1 
– 7
-1 
)
-1 
 – (5
-1 
 – 4
-1 
)
-1
. 
Q.16 Write Euler’s formula, then find the number of faces in a solid if the number of 
vertices is 8 and number of edges is 12. 
Q.17 In a stack there are 5 books each of thickness 20mm and 5 paper sheets each of 
thickness 0.016mm. What is the total thickness of the stack? Write in standard form.
 
SECTION – C (Attempt any ten questions) 
Q.18 12 cards numbered 1,2,3,……11,12 are kept in a box and mixed thoroughly. If one 
(2/3) 
card is drawn at random, find the probability of getting a card with: 
i) a prime number   ii) a factor of 12 
iii) a number divisible by 3  iv) a multiple of 2 
Q.19 Evaluate without actual multiplication: 
(i) 98 x 102  (ii) (105)
2
 
Q.20 Simplify: 
(i) (5x – 6) (2x – 3) + (3x + 5)
2
   
(ii) (2x + 5y) (2x + 3y) 
Q.21 Verify Euler’s formula for the given solid. 
 
 
 
 
Q.22 Find the volume of a cube if its total surface area is 150cm
2
. 
Q.23 a) Find m so that (-3)
m+1
 × (-3)
5
 = (-3)
7
 
b) Find the value of (3
0
 + 4
-1
) × 2
2
 
Q.24 A 5m 60cm high pole casts a shadow of length 3m 20cm. 
a)   Find at the same time the length of a shadow cast by another pole 10m 50cm high. 
b)   Find the height of the pole if the length of the shadow is 6m 40cm. 
Q.25 Factorise: 
a) m
4
 – 256  b) x
2
 + xy + 8x + 8y 
Q.26 a) Find the highest common factor of 16x
3
, -4x
2
, 32x. 
b) Factorise x
2
 – 14x + 13 
Q.27 Given below is the histogram showing the weights of 36 students of a hostel: 
 
Answer the following: 
i) What is the class size? 
ii) How many students are there in the class intervals of weights 40-70 and 80-90?  
iii) How many students weigh 70 kg or more? 
Q.28 An aquarium is in the form of a cuboid whose external measures are 80 cm x 30 cm x 
40 cm. The base, side faces and back face are to be covered with the coloured paper. 
Find the area of paper needed. 
(3/3) 
Q.29 Work out the following divisions: 
(i)   (7x
2
 + 14x) ÷ (x + 2) 
(ii)  5pq (p
2
 – q
2
) ÷ 2p (p + q) 
SECTION – D (Attempt any five questions) 
Q.30 On a particular day, the sales (in rupees) of different items of a baker’s shop are given 
below. Draw a pie chart for this data: 
 Ordinary bread 320  
 Fruit 80  
 Cakes and pastries 160  
 Biscuits 120  
 Others 40  
 TOTAL 720  
Q.31  Diagram of the given picture frame has outer dimensions as 24cm × 28cm and inner 
dimensions as 16cm × 20cm. Find the area of each section of the frame, if the width of 
each section is same. 
              
 
       20cm       28 cm 
 
                                                       16cm  
 
           24cm 
Q.32 Rohit is making a wheel using spokes. He wants to fix equal spokes in such a way that 
the angles between any pair of consecutive spokes are equal. Help him by completing 
the following table: 
No. of Spokes 4 6 8 10 
Angle between a pair of 
consecutive spokes 
90
o
 60
o
 ? ? 
 a) Are the number of spokes and the angles formed between the pair of 
 consecutive spokes in inverse proportion? 
b) Calculate the angle between a pair of consecutive spokes on a wheel with 15 
 spokes. 
c) How many spokes would be needed if the angle between a pair of consecutive 
 spokes is 40
o
? 
Q.33 
a) Factorise then divide : 
) 8 6 ( 104
) 64 36 ( 156
2
2 3
+
-
y y
y y
 
b) Factorise:  16a
2
 – 25b
2
 + 60 bc – 36c
2
 
Q.34 Draw a line graph for the following 
 Side of square(in cm) 10 20 25 30 40  
 Perimeter (in cm) 40 80 100 120 160  
Q.35 a) A milk tank is in the form of a cylinder whose radius is 1.5 m and length is 7m. 
 Find the quantity of milk in litres that can be stored in the tank. 
b) Find the height of a cuboid whose volume is 275cm
3
 and base area is 25 cm
2