Class 8 Math: Sample Question Paper - 5 | Mathematics (Maths) Class 8 PDF Download

 Page 1


(1/3) 
MATHEMATICS 
 
 
General Instructions: 
• The question paper is divided into four sections. 
• Section A comprises of 10 questions of 1 mark each.  
• Section B comprises of 7 questions of 3 marks each.  Attempt any 5 questions. 
• Section C comprises of 12 questions of 4 marks each. Attempt any 10 questions. 
• Section D comprises of 6 questions of 7 marks each. Attempt any 5 questions. 
• Draw neat diagrams wherever needed. 
• For the questions in sections B, C and D, show the calculations in fair. 
 
SECTION – A  
Choose and write the correct answers. 
Q.1 The cube of a two digit number may be a three digit number (True/False). 
Q.2 Rational numbers are not closed under 
a) Addition    b)  Subtraction    c) Multiplication     d) Division 
Q.3 Irrational numbers are non-terminating numbers. (True/False) 
Q.4 The square of an odd number is  
a) Even number  b)  Odd number 
c)  Even or odd   d)  None of these 
Q.5 If in an equation, the greatest exponents of the variables is one then the equation is 
called linear equation. (True/False) 
Q.6 The sum or difference of two square numbers is a square number. (True/False) 
Q.7 Cube root of the product of a positive and a negative number is  
a) A prime number   b)  A positive number 
c)  A negative number  d)  May be positive or negative 
Q.8 The full form of VAT is __________. 
Q.9 C.I. = Amount –  
Q.10 A polygon with least number of sides is a ____________. 
 
SECTION – B (Attempt any Five questions) 
Q.11 a) Additive inverse of 
31
21 -
is _________. 
b) Reciprocal of 
16
7
is _________. 
c) Multiplicative inverse of -1 is _________. 
Page 2


(1/3) 
MATHEMATICS 
 
 
General Instructions: 
• The question paper is divided into four sections. 
• Section A comprises of 10 questions of 1 mark each.  
• Section B comprises of 7 questions of 3 marks each.  Attempt any 5 questions. 
• Section C comprises of 12 questions of 4 marks each. Attempt any 10 questions. 
• Section D comprises of 6 questions of 7 marks each. Attempt any 5 questions. 
• Draw neat diagrams wherever needed. 
• For the questions in sections B, C and D, show the calculations in fair. 
 
SECTION – A  
Choose and write the correct answers. 
Q.1 The cube of a two digit number may be a three digit number (True/False). 
Q.2 Rational numbers are not closed under 
a) Addition    b)  Subtraction    c) Multiplication     d) Division 
Q.3 Irrational numbers are non-terminating numbers. (True/False) 
Q.4 The square of an odd number is  
a) Even number  b)  Odd number 
c)  Even or odd   d)  None of these 
Q.5 If in an equation, the greatest exponents of the variables is one then the equation is 
called linear equation. (True/False) 
Q.6 The sum or difference of two square numbers is a square number. (True/False) 
Q.7 Cube root of the product of a positive and a negative number is  
a) A prime number   b)  A positive number 
c)  A negative number  d)  May be positive or negative 
Q.8 The full form of VAT is __________. 
Q.9 C.I. = Amount –  
Q.10 A polygon with least number of sides is a ____________. 
 
SECTION – B (Attempt any Five questions) 
Q.11 a) Additive inverse of 
31
21 -
is _________. 
b) Reciprocal of 
16
7
is _________. 
c) Multiplicative inverse of -1 is _________. 
(2/3) 
Q.12 
Represent 
11
9
,
11
5
,
11
1 - - -
on a number line. 
Q.13 State the name of a regular polygon of – 
a)  3 sides  b)  4 sides  c)  6 sides 
Q.14 How many sides does a regular polygon have if each of its interior angle is 165
0
? 
Q.15 How many number lies between squares of the following numbers? 
 a) 12 and 13  b)  25 and 26  c)  99 and 100 
Q.16 A man sold an article at Rs. 690 at a loss of 8%. Find the cost price of the article. 
Q.17 The marked price of a frock is Rs. 220. A discount of 20% is announced on sales. 
What is the amount of discount on it and its sale price? 
 
SECTION – C (Attempt any ten questions) 
Q.18 
Using appropriate properties, find 
5
2
14
1
2
3
6
1
7
3
5
2
× + × - ?
?
?
?
?
?
- × . 
Q.19 The ages of Ram and Nikhil are in the ratio 5:7. Four years later the sum of their 
ages will be 56 years. What are their present ages? 
Q.20 
Solve (a) 7x – 9 = 16  b)  
5
t
= 2t – 3 
Q.21 A rational number is such that when you multiply it by 
2
5
and add 
3
2
 to the product, 
you get 
12
7 -
. What is the number? 
Q.22 a) What is the minimum interior angle possible for a regular polygon ? Why? 
b) What is the maximum exterior angle possible for a regular polygon? Why? 
Q.23 RENT is a rectangle. Its diagonals meet at O. Find x, if OR = 2x+4 and OT = 3x+1. 
Q.24 Construct a quadrilateral HEAR where HE=5cm, EA=6cm and ?R= 85
0
. 
Q.25 If DE=3.5cm, ES=4cm, SK=5cm, KD=4.5cm, KE=6.5cm, then construct the 
quadrilateral DESK. 
Q.26 Find the square root of 51.84 
Q.27 Find the smallest square number which is divisible by 14, 15 and 16. 
Q.28 Find the smallest number by which each of the following numbers must be divided 
to obtain a perfect cube. 
i) 243  ii)  2048    iii)  7000  iv)  14641 
Q.29 Find the smallest number by which each of the following numbers must be 
multiplied to obtain a perfect cube. 
i)  256  ii)  72  iii)  675  iv)  100 
Page 3


(1/3) 
MATHEMATICS 
 
 
General Instructions: 
• The question paper is divided into four sections. 
• Section A comprises of 10 questions of 1 mark each.  
• Section B comprises of 7 questions of 3 marks each.  Attempt any 5 questions. 
• Section C comprises of 12 questions of 4 marks each. Attempt any 10 questions. 
• Section D comprises of 6 questions of 7 marks each. Attempt any 5 questions. 
• Draw neat diagrams wherever needed. 
• For the questions in sections B, C and D, show the calculations in fair. 
 
SECTION – A  
Choose and write the correct answers. 
Q.1 The cube of a two digit number may be a three digit number (True/False). 
Q.2 Rational numbers are not closed under 
a) Addition    b)  Subtraction    c) Multiplication     d) Division 
Q.3 Irrational numbers are non-terminating numbers. (True/False) 
Q.4 The square of an odd number is  
a) Even number  b)  Odd number 
c)  Even or odd   d)  None of these 
Q.5 If in an equation, the greatest exponents of the variables is one then the equation is 
called linear equation. (True/False) 
Q.6 The sum or difference of two square numbers is a square number. (True/False) 
Q.7 Cube root of the product of a positive and a negative number is  
a) A prime number   b)  A positive number 
c)  A negative number  d)  May be positive or negative 
Q.8 The full form of VAT is __________. 
Q.9 C.I. = Amount –  
Q.10 A polygon with least number of sides is a ____________. 
 
SECTION – B (Attempt any Five questions) 
Q.11 a) Additive inverse of 
31
21 -
is _________. 
b) Reciprocal of 
16
7
is _________. 
c) Multiplicative inverse of -1 is _________. 
(2/3) 
Q.12 
Represent 
11
9
,
11
5
,
11
1 - - -
on a number line. 
Q.13 State the name of a regular polygon of – 
a)  3 sides  b)  4 sides  c)  6 sides 
Q.14 How many sides does a regular polygon have if each of its interior angle is 165
0
? 
Q.15 How many number lies between squares of the following numbers? 
 a) 12 and 13  b)  25 and 26  c)  99 and 100 
Q.16 A man sold an article at Rs. 690 at a loss of 8%. Find the cost price of the article. 
Q.17 The marked price of a frock is Rs. 220. A discount of 20% is announced on sales. 
What is the amount of discount on it and its sale price? 
 
SECTION – C (Attempt any ten questions) 
Q.18 
Using appropriate properties, find 
5
2
14
1
2
3
6
1
7
3
5
2
× + × - ?
?
?
?
?
?
- × . 
Q.19 The ages of Ram and Nikhil are in the ratio 5:7. Four years later the sum of their 
ages will be 56 years. What are their present ages? 
Q.20 
Solve (a) 7x – 9 = 16  b)  
5
t
= 2t – 3 
Q.21 A rational number is such that when you multiply it by 
2
5
and add 
3
2
 to the product, 
you get 
12
7 -
. What is the number? 
Q.22 a) What is the minimum interior angle possible for a regular polygon ? Why? 
b) What is the maximum exterior angle possible for a regular polygon? Why? 
Q.23 RENT is a rectangle. Its diagonals meet at O. Find x, if OR = 2x+4 and OT = 3x+1. 
Q.24 Construct a quadrilateral HEAR where HE=5cm, EA=6cm and ?R= 85
0
. 
Q.25 If DE=3.5cm, ES=4cm, SK=5cm, KD=4.5cm, KE=6.5cm, then construct the 
quadrilateral DESK. 
Q.26 Find the square root of 51.84 
Q.27 Find the smallest square number which is divisible by 14, 15 and 16. 
Q.28 Find the smallest number by which each of the following numbers must be divided 
to obtain a perfect cube. 
i) 243  ii)  2048    iii)  7000  iv)  14641 
Q.29 Find the smallest number by which each of the following numbers must be 
multiplied to obtain a perfect cube. 
i)  256  ii)  72  iii)  675  iv)  100 
(3/3) 
 
SECTION – D (Attempt any five questions) 
Q.30 Solve : 
i) 
3
4
2
4 7 -
=
+
+
y
y
   
ii) x+ 7 – 
2
5
6
17
3
8 x x
- = 
iii) t
t t
- =
+
-
-
3
2
3
3 2
4
2 3
 
Q.31 a) Explain why a rectangle is a convex quadrilateral. 
b) Find x+y+z+w in the following figure. 
  
c) Name a quadrilateral whose diagonals bisect each other. 
Q.32 Draw a quadrilateral TRUE in which TR=3.5cm, RU=3cm, UE=4cm, ?R=75
0
, 
?U=120
0
. 
Q.33 a) Without adding, find the sum of 1+3+5+7+9+11+13+15+17+19. 
b) Find a Pythagorean triplet in which one member is 12. 
c) There are 629 children in a school. For a PT drill they have to stand in such a 
 manner that the number of rows is equal to number of columns. How many 
 children would be left out in this arrangement? 
Q.34 a) Find the cube root of 13824 by prime factorization method. 
b) Ramu makes a cuboid of plasticine of sides 5cm, 2cm, 5cm. How many such 
 cuboids will she need to form a cube? 
Q.35 a) What amount is to be repaid on a loan of Rs. 12,000 for 1½ years at 10% per 
 annum compounded half yearly? 
b) The cost of an article was Rs. 15,500.    Rs. 450 were spent on its repairs. If it 
 is sold for a profit of 15%, find the selling price of the article?