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# Sample Papers - 6, Science, Class 8 Class 8 Notes | EduRev

## Sample Papers For Class 8

Created by: Manju Sen

## Class 8 : Sample Papers - 6, Science, Class 8 Class 8 Notes | EduRev

``` 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:

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:

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:
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

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