Class 7 Math: Sample Question Paper – 9 | Sample Papers For Class 7 PDF Download

 Page 1


(1/3) 
 
MATHEMATICS 
 Class VII  
General Instructions – 
• The question paper is divided into four sections A, B, C and D. 
• Section A contains 10 questions of 1 mark each. All the questions are compulsory. 
• Section B contains 7 questions of 3 marks each. Attempt any 5 questions. 
• Section C contains 12 questions of 4 marks each. Attempt any 10 questions. 
• Section D contains 6 questions of 7 marks each. Attempt any 5 questions. 
 
SECTION – A (1×10=10) 
(All questions are compulsory) 
Q.1 15% of 250 = _________. 
Q.2 
Write 
18
12
-
 in standard form. 
Q.3 Area of a parallelogram = _________.  
Q.4 Construct an equilateral triangle of side 6cm. 
Q.5 Write the expression for – 
Sum of numbers a and b subtracted from their product. 
Q.6 Write 23700000 in scientific notation. 
Q.7 Find the ratio of 6 hours to 3 days. 
Q.8 Give the other name to the line of symmetry of – 
a) an isosceles ?   b)    a circle 
Q.9 If 2 cubes each of dimensions 2cm by 2cm by 2cm are placed side by side. What 
would the dimensions of the resulting cuboid be? 
Q.10 Draw the net of a dice with required dots on it. 
SECTION – B  
(Attempt any five questions – 3×5=15) 
Q.11 Convert each part of 2:3:5 into percentage.  
Q.12 
Find any 3 rational numbers between 
?
?
?
?
?
?+
7
5
 and 
?
?
?
?
?
?+
8
3
. 
Q.13 Construct ?ABC given m?A = 60
0
, m?B = 30
0
 and AB = 5.8 cm. 
Q.14 Diameter of a circular garden is 9.8 m. Find its area. 
Page 2


(1/3) 
 
MATHEMATICS 
 Class VII  
General Instructions – 
• The question paper is divided into four sections A, B, C and D. 
• Section A contains 10 questions of 1 mark each. All the questions are compulsory. 
• Section B contains 7 questions of 3 marks each. Attempt any 5 questions. 
• Section C contains 12 questions of 4 marks each. Attempt any 10 questions. 
• Section D contains 6 questions of 7 marks each. Attempt any 5 questions. 
 
SECTION – A (1×10=10) 
(All questions are compulsory) 
Q.1 15% of 250 = _________. 
Q.2 
Write 
18
12
-
 in standard form. 
Q.3 Area of a parallelogram = _________.  
Q.4 Construct an equilateral triangle of side 6cm. 
Q.5 Write the expression for – 
Sum of numbers a and b subtracted from their product. 
Q.6 Write 23700000 in scientific notation. 
Q.7 Find the ratio of 6 hours to 3 days. 
Q.8 Give the other name to the line of symmetry of – 
a) an isosceles ?   b)    a circle 
Q.9 If 2 cubes each of dimensions 2cm by 2cm by 2cm are placed side by side. What 
would the dimensions of the resulting cuboid be? 
Q.10 Draw the net of a dice with required dots on it. 
SECTION – B  
(Attempt any five questions – 3×5=15) 
Q.11 Convert each part of 2:3:5 into percentage.  
Q.12 
Find any 3 rational numbers between 
?
?
?
?
?
?+
7
5
 and 
?
?
?
?
?
?+
8
3
. 
Q.13 Construct ?ABC given m?A = 60
0
, m?B = 30
0
 and AB = 5.8 cm. 
Q.14 Diameter of a circular garden is 9.8 m. Find its area. 
(2/3) 
Q.15 Express in exponential form – 
i) a×a×a×b×b×d×d×d×d  ii) 540 
Q.16 What should be subtracted from (3x
2
 – 4y
2
 + 5xy + 20) to get (– x
2
 – y
2
 + 6xy + 20). 
Q.17 How many times a wheel has to rotate to go 440 m if its radius is 35 cm. 
SECTION – C  
(Attempt any ten questions – 4×10=40) 
Q.18 
Evaluate using laws of exponents : 
27 ) 8 ( ) 6 (
4 ) 9 ( ) 12 (
2 3
3 4
× ×
× ×
 
Q.19 Simplify by combining like terms : 
3a – 2b – ab – (a – b + ab) + 3ab + b – a  
Q.20 The area of a square and a rectangle are equal. If the side of the square is 40 cm and 
the breadth of the rectangle is 25 cm, find the length of the rectangle. Also, find the 
perimeter of the rectangle. 
Q.21 Show on number line : a)    
3
2
  b) 
4
7 -
 
Q.22 Construct a right angled triangle ABC with ?B=90
0
, with base BC=4 cm and 
hypotenuse AC=5 cm. Measure and write the length of AB. 
Q.23 Simplify and express the result in power notation with positive exponent :- 
a) 
4
4
3
5
) 3 (
?
?
?
?
?
?
× -  b) (3
-7 
÷ 3
-10
) × 3
-5
 
Q.24 A garden is 90m long and 75 m broad. A path 5 m wide is to be built outside and 
around it. Find the area of the path. Also, find the area of the garden in hectare. 
Q.25 Make an isometric sketch of the given oblique sketch. 
 
 
 
 
Q.26 What rate gives Rs. 280 as interest on a sum of Rs. 56,000 in 2 years? 
Q.27 Find the area of the given triangle. 
         A 
 
       D 
 
 
             B          C 
2 
2 
7 
5 cm 
3 cm 
5.1 cm 
90
0 
3.2 cm 
Page 3


(1/3) 
 
MATHEMATICS 
 Class VII  
General Instructions – 
• The question paper is divided into four sections A, B, C and D. 
• Section A contains 10 questions of 1 mark each. All the questions are compulsory. 
• Section B contains 7 questions of 3 marks each. Attempt any 5 questions. 
• Section C contains 12 questions of 4 marks each. Attempt any 10 questions. 
• Section D contains 6 questions of 7 marks each. Attempt any 5 questions. 
 
SECTION – A (1×10=10) 
(All questions are compulsory) 
Q.1 15% of 250 = _________. 
Q.2 
Write 
18
12
-
 in standard form. 
Q.3 Area of a parallelogram = _________.  
Q.4 Construct an equilateral triangle of side 6cm. 
Q.5 Write the expression for – 
Sum of numbers a and b subtracted from their product. 
Q.6 Write 23700000 in scientific notation. 
Q.7 Find the ratio of 6 hours to 3 days. 
Q.8 Give the other name to the line of symmetry of – 
a) an isosceles ?   b)    a circle 
Q.9 If 2 cubes each of dimensions 2cm by 2cm by 2cm are placed side by side. What 
would the dimensions of the resulting cuboid be? 
Q.10 Draw the net of a dice with required dots on it. 
SECTION – B  
(Attempt any five questions – 3×5=15) 
Q.11 Convert each part of 2:3:5 into percentage.  
Q.12 
Find any 3 rational numbers between 
?
?
?
?
?
?+
7
5
 and 
?
?
?
?
?
?+
8
3
. 
Q.13 Construct ?ABC given m?A = 60
0
, m?B = 30
0
 and AB = 5.8 cm. 
Q.14 Diameter of a circular garden is 9.8 m. Find its area. 
(2/3) 
Q.15 Express in exponential form – 
i) a×a×a×b×b×d×d×d×d  ii) 540 
Q.16 What should be subtracted from (3x
2
 – 4y
2
 + 5xy + 20) to get (– x
2
 – y
2
 + 6xy + 20). 
Q.17 How many times a wheel has to rotate to go 440 m if its radius is 35 cm. 
SECTION – C  
(Attempt any ten questions – 4×10=40) 
Q.18 
Evaluate using laws of exponents : 
27 ) 8 ( ) 6 (
4 ) 9 ( ) 12 (
2 3
3 4
× ×
× ×
 
Q.19 Simplify by combining like terms : 
3a – 2b – ab – (a – b + ab) + 3ab + b – a  
Q.20 The area of a square and a rectangle are equal. If the side of the square is 40 cm and 
the breadth of the rectangle is 25 cm, find the length of the rectangle. Also, find the 
perimeter of the rectangle. 
Q.21 Show on number line : a)    
3
2
  b) 
4
7 -
 
Q.22 Construct a right angled triangle ABC with ?B=90
0
, with base BC=4 cm and 
hypotenuse AC=5 cm. Measure and write the length of AB. 
Q.23 Simplify and express the result in power notation with positive exponent :- 
a) 
4
4
3
5
) 3 (
?
?
?
?
?
?
× -  b) (3
-7 
÷ 3
-10
) × 3
-5
 
Q.24 A garden is 90m long and 75 m broad. A path 5 m wide is to be built outside and 
around it. Find the area of the path. Also, find the area of the garden in hectare. 
Q.25 Make an isometric sketch of the given oblique sketch. 
 
 
 
 
Q.26 What rate gives Rs. 280 as interest on a sum of Rs. 56,000 in 2 years? 
Q.27 Find the area of the given triangle. 
         A 
 
       D 
 
 
             B          C 
2 
2 
7 
5 cm 
3 cm 
5.1 cm 
90
0 
3.2 cm 
(3/3) 
Q.28 Find the whole quantity if – 
a) 12% of it is Rs. 1080  b)  5% of it is 600 
Q.29 Name and draw, a rough sketch of – 
a) a triangle with both line and rotational symmetries of order more than 1. 
b) a triangle with only line symmetry and no rotational symmetry of order more 
than 1. 
c) a quadrilateral with a rotational symmetry of order more than 1 but not a line 
symmetry. 
d) a quadrilateral with line symmetry but not a rotational symmetry of order more 
than 1. 
SECTION – D  
(Attempt any five questions – 7×5=35) 
Q.30 Meha sells a micro-wave for Rs. 13,500. She loses 20% in the bargain. What was the 
price at which she bought it? 
Q.31 Construct a ?PQR if PQ=5cm, m?PQR=105
0
, and m?QRP=40
0
. Write the steps of 
construction. 
Q.32 Two cross-roads, each of width 5m, run at right angles through the centre of a 
rectangular park of length 70m and breadth 45m and parallel to its sides. Find the - 
a) total area of the cross-roads. 
b) cost of planting grass in the remaining part of the park at the rate of Rs. 40 per m
2
.
 
Q.33 a) Simplify the given expression and find the value if x=2 in :       (3+4) 
 4 (2x–1) + 3x + 11. 
b) Find the 5
th
 and 8
th
 terms of the given expression : 
 (i) 2n + 1   (ii) 4n – 1 
Q.34 Find the value of each –                                                                           (1½+1½+2+2) 
a) 
?
?
?
?
?
?-
×
?
?
?
?
?
?-
27
15
5
3
  b) 
13
2
12
7
÷
?
?
?
?
?
?
-
 
c) 
15
22
10
9
+   d) ?
?
?
?
?
?
+ -
3
1
5
1
2 
Q.35 Fill in the blanks. 
 S.N. Shape  Centre of rotation Order of rotation Angle of rotation 
 a) Square    
 b) Rectangle    
 c) Rhombus    
 d) Equilateral triangle    
 e) Regular hexagon    
 f) Circle    
 g) Semi-circle