Class 8 Math: Sample Question Paper - 3 | Mathematics (Maths) Class 8 PDF Download

 Page 1


(1/3) 
 
MATHEMATICS 
 Class VIII 
General Instructions: 
• All questions are compulsory. 
• The question paper consists of 25 questions divided into 4 sections A, B, C and D.  
• Section A contains 5 multiple choice questions of 1 mark each, Section B contains 5 
questions of 3 marks each, Section C contains 10 questions of 5 marks each and Section D 
contains 5 questions of 6 marks each 
• There is no overall choice in the paper. 
• Please check that this question paper contains 03 printed pages. 
 
SECTION – A 
Select and write the correct answer. 
Q.1 The difference between the upper and lower class limit in a class-interval is called – 
 a) class mark b) class interval c) class size d) group 
Q.2 The side view of the figure made by joining cubes 
    
Front 
 a)  b)  c)  d)  
Q.3 The value of (7
–1
)
 –2
 is -   
 a) 7 b) 
7
1
 
c) 49 d) & & & &7 
Q.4 The number 1234 * 72 is divisible by 9. So * stands for - 
 a) 0 b) 1 c) 5 d) 8 
Q.5 If 100a + 10b + c is the smallest 3-digits number, the value of ‘b’ and ‘c’ is - 
 a) 1 b) 0 c) 100 d) 10 
SECTION – B 
Q.6 If y = -2, find the value of 4y
2
 + 2y + 1. 
Q.7 Fill in the blanks - 
 i) A solid shape has _________ dimensions. 
ii) Polyhedrons are solid figures made up of _________ regions. 
iii) Euler’s formula is _________. 
Q.8 A road roller with length 1m has a diameter of 1.4m. Find the area it covers in one 
revolution. 
Q.9 Write in standard form - 
 i) 0.00000000000000000063  ii) 31860000000 
Page 2


(1/3) 
 
MATHEMATICS 
 Class VIII 
General Instructions: 
• All questions are compulsory. 
• The question paper consists of 25 questions divided into 4 sections A, B, C and D.  
• Section A contains 5 multiple choice questions of 1 mark each, Section B contains 5 
questions of 3 marks each, Section C contains 10 questions of 5 marks each and Section D 
contains 5 questions of 6 marks each 
• There is no overall choice in the paper. 
• Please check that this question paper contains 03 printed pages. 
 
SECTION – A 
Select and write the correct answer. 
Q.1 The difference between the upper and lower class limit in a class-interval is called – 
 a) class mark b) class interval c) class size d) group 
Q.2 The side view of the figure made by joining cubes 
    
Front 
 a)  b)  c)  d)  
Q.3 The value of (7
–1
)
 –2
 is -   
 a) 7 b) 
7
1
 
c) 49 d) & & & &7 
Q.4 The number 1234 * 72 is divisible by 9. So * stands for - 
 a) 0 b) 1 c) 5 d) 8 
Q.5 If 100a + 10b + c is the smallest 3-digits number, the value of ‘b’ and ‘c’ is - 
 a) 1 b) 0 c) 100 d) 10 
SECTION – B 
Q.6 If y = -2, find the value of 4y
2
 + 2y + 1. 
Q.7 Fill in the blanks - 
 i) A solid shape has _________ dimensions. 
ii) Polyhedrons are solid figures made up of _________ regions. 
iii) Euler’s formula is _________. 
Q.8 A road roller with length 1m has a diameter of 1.4m. Find the area it covers in one 
revolution. 
Q.9 Write in standard form - 
 i) 0.00000000000000000063  ii) 31860000000 
(2/3) 
 
Q.10 Find A and B in the addition. 
    A 
 + A 
 + A 
    BA 
SECTION – C 
Q.11 The population of 60 villages is shown below. 
 Population (in thousands) 6-8 8-10 10-12 12-14 14-16 16-18 
 Number of villages 6 10 20 12 8 4 
 Display the information in the form of a histogram. 
Q.12 Use an identity to evaluate – 
i) 108×92  ii) 998
2 
Q.13 Multiply (x
3
 + 3x
2
 – 4x+1) by (x
2
 – 3x – 2). 
Q.14 A cold drink seller has two types of container  
i)   cuboidal container of length 5cm, width 4cm and height 15cm. 
ii)  a cylindrical container of diameter 7cm and height 10cm. 
a) Which container has greater capacity? By how much? 
b) If he sells them in same price, then which container gives more profit? 
c) If seller motivates customer to purchase the cylindrical container, then which value is 
depicted from this act? 
Q.15 Find the area of the field shown in the adjacent figure. 
(All measurements are given in metres) 
 
Q.16 Find the value of – 
i) (3
0
 + 4
-1
) × 2
2  
i) 
2 2 2
4
1
3
1
2
1
- - -
?
?
?
?
?
?
+
?
?
?
?
?
?
+
?
?
?
?
?
?
 iii) (3
-1
 + 4
-1 
+
 
5
-1
)
0 
Q.17 A car travelling at a speed of 60 km/hr can cover a certain distance in 2hrs 20min. If the 
speed was 10 km/hr more, how long would it take to cover the same distance? 
Q.18 Factorise the following : 
i) m
2 
– 4n
2
  ii) a
2
 + 8a + 7 
Q.19 Divide 44 (x
4
 – 5x
3
 – 24x
2
) by 11x (x – 8). 
Q.20 The table shows the maximum temperature of a town over a week. 
 Day Mon Tue Wed Thu Fri Sat Sun 
 Max. temp. (in 
0
C) 32 34 37 40 36 38 30 
 
Draw a line graph to show this information. 
60  K  40 
Page 3


(1/3) 
 
MATHEMATICS 
 Class VIII 
General Instructions: 
• All questions are compulsory. 
• The question paper consists of 25 questions divided into 4 sections A, B, C and D.  
• Section A contains 5 multiple choice questions of 1 mark each, Section B contains 5 
questions of 3 marks each, Section C contains 10 questions of 5 marks each and Section D 
contains 5 questions of 6 marks each 
• There is no overall choice in the paper. 
• Please check that this question paper contains 03 printed pages. 
 
SECTION – A 
Select and write the correct answer. 
Q.1 The difference between the upper and lower class limit in a class-interval is called – 
 a) class mark b) class interval c) class size d) group 
Q.2 The side view of the figure made by joining cubes 
    
Front 
 a)  b)  c)  d)  
Q.3 The value of (7
–1
)
 –2
 is -   
 a) 7 b) 
7
1
 
c) 49 d) & & & &7 
Q.4 The number 1234 * 72 is divisible by 9. So * stands for - 
 a) 0 b) 1 c) 5 d) 8 
Q.5 If 100a + 10b + c is the smallest 3-digits number, the value of ‘b’ and ‘c’ is - 
 a) 1 b) 0 c) 100 d) 10 
SECTION – B 
Q.6 If y = -2, find the value of 4y
2
 + 2y + 1. 
Q.7 Fill in the blanks - 
 i) A solid shape has _________ dimensions. 
ii) Polyhedrons are solid figures made up of _________ regions. 
iii) Euler’s formula is _________. 
Q.8 A road roller with length 1m has a diameter of 1.4m. Find the area it covers in one 
revolution. 
Q.9 Write in standard form - 
 i) 0.00000000000000000063  ii) 31860000000 
(2/3) 
 
Q.10 Find A and B in the addition. 
    A 
 + A 
 + A 
    BA 
SECTION – C 
Q.11 The population of 60 villages is shown below. 
 Population (in thousands) 6-8 8-10 10-12 12-14 14-16 16-18 
 Number of villages 6 10 20 12 8 4 
 Display the information in the form of a histogram. 
Q.12 Use an identity to evaluate – 
i) 108×92  ii) 998
2 
Q.13 Multiply (x
3
 + 3x
2
 – 4x+1) by (x
2
 – 3x – 2). 
Q.14 A cold drink seller has two types of container  
i)   cuboidal container of length 5cm, width 4cm and height 15cm. 
ii)  a cylindrical container of diameter 7cm and height 10cm. 
a) Which container has greater capacity? By how much? 
b) If he sells them in same price, then which container gives more profit? 
c) If seller motivates customer to purchase the cylindrical container, then which value is 
depicted from this act? 
Q.15 Find the area of the field shown in the adjacent figure. 
(All measurements are given in metres) 
 
Q.16 Find the value of – 
i) (3
0
 + 4
-1
) × 2
2  
i) 
2 2 2
4
1
3
1
2
1
- - -
?
?
?
?
?
?
+
?
?
?
?
?
?
+
?
?
?
?
?
?
 iii) (3
-1
 + 4
-1 
+
 
5
-1
)
0 
Q.17 A car travelling at a speed of 60 km/hr can cover a certain distance in 2hrs 20min. If the 
speed was 10 km/hr more, how long would it take to cover the same distance? 
Q.18 Factorise the following : 
i) m
2 
– 4n
2
  ii) a
2
 + 8a + 7 
Q.19 Divide 44 (x
4
 – 5x
3
 – 24x
2
) by 11x (x – 8). 
Q.20 The table shows the maximum temperature of a town over a week. 
 Day Mon Tue Wed Thu Fri Sat Sun 
 Max. temp. (in 
0
C) 32 34 37 40 36 38 30 
 
Draw a line graph to show this information. 
60  K  40 
(3/3) 
 
SECTION – D 
Q.21 The following marks were scored by Avinash in a test. 
 Subject Eng Hindi Sanskrit Maths Science S.Sc. Total 
 Marks 90 87 90 99 90 84 540 
 
Display this information in the form of a pie chart. 
Q.22 Draw a pentagonal pyramid and a square prism. Verify Euler’s formula for both of them. 
Q.23 A train is moving at a uniform speed of 75km/hr. 
i) How far will it travel in 20min? 
ii) Find the time required to cover a distance of 250km. 
Q.24 Factorise the following : 
i) m
4 
– 1   ii) 5y
2
 – 20y – 8z + 2yz 
Q.25 The graph in figure shows the runs scored by a batsman in 8 cricket matches. Study the 
graph and answer the following questions. 
 
 i) How many runs did he score in match III ? 
ii) What was the highest score? 
iii) In which match did he score the lowest? 
iv) In how many matches did he score more than 50 runs? 
v) In which match did he score 40 runs? 
vi) In which match did he score 85 runs? 
 
Runs scored ? ? ? ? 
Matches ? ? ? ?