Class 7 Math: Sample Question Paper – 6 | Sample Papers For Class 7 PDF Download

 Page 1


CLASS-VII 
SUBJECT-MATHS Page 1 
 
Class   : VII       
Subject: MATHS       
 SECTION - A  
Q.1 What will be the value of if 5x-2 = 18 
(a) 30 (b) 60 (c) 40 (d) 4 
1 
Q.2 I purchased a watch for Rs 330 and sold it at a loss of 20%.Then S.P. of 
watch is  
(a) 274 (b) 264 (c) 250  (d) 254 
 
1 
Q.3 What will be the area of rectangle whose sides are 2a and 3a 
(a) 5a (b) 10a
2
 (c)6a
2
 (d)6a 
1 
Q.4 The simple interest on Rs 500 for 5 years at the rate of 7% per annum will 
be  
(a)165 (b) 185 (c)175 (d)135 
1 
Q.5 A number when multiplied by 4 exceeds itself by 45.Then number will be 
(a)35 (b)25 (c)15 (d) 5 
1 
Q.6 What will be  the area of triangle whose base is 2m and height is 60 cm 
(a)100 cm
2
 (b) 5000cm
2
 (c)7000 cm
2
 (d)6000 cm
2
 
1 
Q.7 If area of circle is 154 m
2
 then its radius is 
(a)7m (b) 14m (c)21m (d)10m 
1 
Q.8 How many lines of symmetry will a square have? 
(a)1 (b) 2 (c)3 (d)4 
1 
   
                                             Section-B  
Q.9 The salary of a person was increased by 15%.If his salary is now Rs 9936, 
what was his initial salary? 
2 
Q.10 
Find the product (5x
2
y)x(-



xy
2
)x-5(yz
2
). 
2 
Q.11 Solve : 8x + 5 = 3x-10 2 
Q.12 Rajesh   took a loan of Rs 80000 from a bank at 12% p.a. and paid it back 
after 7months together interest .Find the amount he paid to the bank. 
2 
Q.13 When 5 is added to three times a number, we obtain 44.Find the number. 2 
Q.14 Is it possible to construct a triangle whose sides are 3 cm,6.1cm,2.6 cm 2 
Q.15 The diagonals of a rhombus are 8 cm and 6 cm. Find its area. 2 
Q.16 Find the area of circle whose circumference is 264 m. 2 
Q.17 Give reason to show how many lines of symmetry will a square have. 2 
Q.18 How many lines of symmetry will a regular octagon have? 2 
Q.19 Name all the vertices, edges and faces of the Pyramid. 2 
Q.20 Draw an isometric sketch for a cuboid  of dimension 4x3x2. 
 
 
2 
                                          Section-C  
Q.21 Multiply the following  binomials and verify the result for the given value: 
(2x
2
-xy
2
)(2x+1); x=1 , y=2 
 
 
3.5 
Page 2


CLASS-VII 
SUBJECT-MATHS Page 1 
 
Class   : VII       
Subject: MATHS       
 SECTION - A  
Q.1 What will be the value of if 5x-2 = 18 
(a) 30 (b) 60 (c) 40 (d) 4 
1 
Q.2 I purchased a watch for Rs 330 and sold it at a loss of 20%.Then S.P. of 
watch is  
(a) 274 (b) 264 (c) 250  (d) 254 
 
1 
Q.3 What will be the area of rectangle whose sides are 2a and 3a 
(a) 5a (b) 10a
2
 (c)6a
2
 (d)6a 
1 
Q.4 The simple interest on Rs 500 for 5 years at the rate of 7% per annum will 
be  
(a)165 (b) 185 (c)175 (d)135 
1 
Q.5 A number when multiplied by 4 exceeds itself by 45.Then number will be 
(a)35 (b)25 (c)15 (d) 5 
1 
Q.6 What will be  the area of triangle whose base is 2m and height is 60 cm 
(a)100 cm
2
 (b) 5000cm
2
 (c)7000 cm
2
 (d)6000 cm
2
 
1 
Q.7 If area of circle is 154 m
2
 then its radius is 
(a)7m (b) 14m (c)21m (d)10m 
1 
Q.8 How many lines of symmetry will a square have? 
(a)1 (b) 2 (c)3 (d)4 
1 
   
                                             Section-B  
Q.9 The salary of a person was increased by 15%.If his salary is now Rs 9936, 
what was his initial salary? 
2 
Q.10 
Find the product (5x
2
y)x(-



xy
2
)x-5(yz
2
). 
2 
Q.11 Solve : 8x + 5 = 3x-10 2 
Q.12 Rajesh   took a loan of Rs 80000 from a bank at 12% p.a. and paid it back 
after 7months together interest .Find the amount he paid to the bank. 
2 
Q.13 When 5 is added to three times a number, we obtain 44.Find the number. 2 
Q.14 Is it possible to construct a triangle whose sides are 3 cm,6.1cm,2.6 cm 2 
Q.15 The diagonals of a rhombus are 8 cm and 6 cm. Find its area. 2 
Q.16 Find the area of circle whose circumference is 264 m. 2 
Q.17 Give reason to show how many lines of symmetry will a square have. 2 
Q.18 How many lines of symmetry will a regular octagon have? 2 
Q.19 Name all the vertices, edges and faces of the Pyramid. 2 
Q.20 Draw an isometric sketch for a cuboid  of dimension 4x3x2. 
 
 
2 
                                          Section-C  
Q.21 Multiply the following  binomials and verify the result for the given value: 
(2x
2
-xy
2
)(2x+1); x=1 , y=2 
 
 
3.5 
CLASS-VII 
SUBJECT-MATHS Page 2 
 
Q.22 Rita sells a washing machine to sita for Rs 6000 and gains 20%.For how 
much should she sells it to increase her profit by another 5%.. 
 
3.5 
Q.23 Construct a    ABC in which AB=4 cm, AC =5.2 cm and <A = 135° .Also 
bisect <A.  
 
3.5 
Q.24 A garden is 120m long and 85 m wide. It has an inside path of uniform 
width 3.5 cm all around it. The remaining part of the garden is covered by 
grass. Find the cost of covering the garden by grass at Rs 2 per sq. metre. 
3.5 
                                       Section-D  
Q.25 (a) A painter paints 240 feet of a wall. If this is 48% of the total wall 
surface, what is the area of the wall in sq. feet. 
(b)At what rate of interest per annum will a sum of Rs 8000 amounts to Rs 
9260 in 3and ½ years. 
 
5 
Q.26 (a) Simplify: 2x(x – y
2
) -3y(xy+2x)-xy(x+y) 
(b)Find the product : (x
2
-4xy+y
2
)(x-2y) 
 
5 
Q.27 The numerator of fraction is 6 less than the denominator .If 3 is added to 
the numerator; the fraction becomes equal to 



.Find the original fraction. 
 
5 
Q.28 (a) A wire, when bent in the form of square, encloses an area of 484 cm
2
.If 
the same  wire is bent in the form of a circle, find the area enclosed by it. 
(b)The area of a rhombus is 119 cm
2
and its perimeter is 56 cm. Find its 
altitude 
5 
                                     Section-E  
Q.29 Factorize: (a) a
2
+2a +ab +2b  (b) 9x(6x-5y) – 12x
2
(6x-5y)   (c)8x
2
y
2
-
16xy
3
+24xy  (d) a
2
 +bc +ac +ab. 
 
6 
Q.30 
(a) Solve: 



  = 



 - 


  
(b) A sum of Rs 800 is in the form of denominations of Rs 10 and Rs 20.If 
the total number of notes is 50,find the number of notes of each type. 
 
6 
Q.31 Construct a triangle ABC in which AB = 6cm, BC = 4.5 cm, and AC = 5.9 
cm. Also construct perpendicular bisector of sides AC and AB 
 
6 
Q.32 (a)A rectangular lawn is 30m by 20m.It has two roads each 2m wide 
running in the middle of it, one parallel to the length and the other parallel 
to breadth. Find the area of the road. 
 (b)The base of a triangular field is three times its altitude. If the cost of of 
watering the field at Rs 96 per hectare is Rs 3600, find the measure of the 
base and height.  
6