Class 7 Math: Sample Question Paper – 3 | Sample Papers For Class 7 PDF Download

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MATHEMATICS 
 Class VII 
General Instructions – 
• This question paper is divided into four sections A, B, C and D.  
• SECTION A consists of 5 questions of 1 mark each. Attempt all questions. 
• SECTION B consists of 5 questions of 3 marks each. Attempt all questions. 
• SECTION C consists of 12 questions of 5 marks each. Attempt any 10 questions. 
• SECTION D consists of 8 questions of 6 marks each. Attempt any 5 questions.  
• Draw neat diagram wherever required. 
• Show the required calculations in fair. 
• Please check that this question paper contains 02 printed pages. 
 
SECTION-A (Attempt all questions) 
Q.1 Find the ratio of 30 minutes to 1 hour. 
Q.2 What is the coefficient of y
2
 in  –2x
2
y
2 
?  
Q.3 Write 6389014 in expanded form. 
Q.4 What other name can you give to the line of symmetry of a circle? 
Q.5 What is the sum of numbers on opposite faces of a dice? 
SECTION - B (Attempt all questions) 
Q.6 If Rs. 250 is to be divided amongst Kavya, Shruti and Sneha in the ratio 2:3:5, how much 
money will each get? 
Q.7 
Write 3 rational numbers between 
3
1
 and 
5
2
. 
Q.8 The perimeter of a rectangular sheet is 120 cm. If its length is 40 cm, find the breadth. Also 
find its area. 
Q.9 Simplify the following expression and find its value when x = 7 and y = –2. 
2(x
2
+xy) + 7 – xy. 
Q.10 Compare   2.7×10
12 
and
 
1.5×10
8
. 
SECTION-C (Attempt any 10 questions) 
Q.11 During a sale, the price of a toy is reduced from Rs. 800 to Rs. 600. Find the percentage 
decrease in the price. 
Q.12 If Harshit pays an interest of Rs. 600 for 5 years on a sum of Rs. 3000, find the rate of 
interest. 
Q.13 Arrange the rational numbers 
3
2
, 0 ,
9
7
,
6
5
-
-
-
in ascending order. 
Q.14 Draw a line PQ. Take a point R outside it. Through R, draw a line parallel to PQ using ruler 
and compass. 
Q.15 Construct a ?XYZ with XY=6 cm, YZ = 7 cm and ZX = 5.5 cm. 
Q.16 Two sides of a parallelogram are 12 cm and 8 cm. If the altitude corresponding to the side of 
length 12 cm is 6 cm long, find the length of altitude corresponding to side 8 cm. 
 
Q.17 If the circumference of a circular sheet is 154 m, find the area of the sheet. 
Page 2


(1/2) 
 
 
MATHEMATICS 
 Class VII 
General Instructions – 
• This question paper is divided into four sections A, B, C and D.  
• SECTION A consists of 5 questions of 1 mark each. Attempt all questions. 
• SECTION B consists of 5 questions of 3 marks each. Attempt all questions. 
• SECTION C consists of 12 questions of 5 marks each. Attempt any 10 questions. 
• SECTION D consists of 8 questions of 6 marks each. Attempt any 5 questions.  
• Draw neat diagram wherever required. 
• Show the required calculations in fair. 
• Please check that this question paper contains 02 printed pages. 
 
SECTION-A (Attempt all questions) 
Q.1 Find the ratio of 30 minutes to 1 hour. 
Q.2 What is the coefficient of y
2
 in  –2x
2
y
2 
?  
Q.3 Write 6389014 in expanded form. 
Q.4 What other name can you give to the line of symmetry of a circle? 
Q.5 What is the sum of numbers on opposite faces of a dice? 
SECTION - B (Attempt all questions) 
Q.6 If Rs. 250 is to be divided amongst Kavya, Shruti and Sneha in the ratio 2:3:5, how much 
money will each get? 
Q.7 
Write 3 rational numbers between 
3
1
 and 
5
2
. 
Q.8 The perimeter of a rectangular sheet is 120 cm. If its length is 40 cm, find the breadth. Also 
find its area. 
Q.9 Simplify the following expression and find its value when x = 7 and y = –2. 
2(x
2
+xy) + 7 – xy. 
Q.10 Compare   2.7×10
12 
and
 
1.5×10
8
. 
SECTION-C (Attempt any 10 questions) 
Q.11 During a sale, the price of a toy is reduced from Rs. 800 to Rs. 600. Find the percentage 
decrease in the price. 
Q.12 If Harshit pays an interest of Rs. 600 for 5 years on a sum of Rs. 3000, find the rate of 
interest. 
Q.13 Arrange the rational numbers 
3
2
, 0 ,
9
7
,
6
5
-
-
-
in ascending order. 
Q.14 Draw a line PQ. Take a point R outside it. Through R, draw a line parallel to PQ using ruler 
and compass. 
Q.15 Construct a ?XYZ with XY=6 cm, YZ = 7 cm and ZX = 5.5 cm. 
Q.16 Two sides of a parallelogram are 12 cm and 8 cm. If the altitude corresponding to the side of 
length 12 cm is 6 cm long, find the length of altitude corresponding to side 8 cm. 
 
Q.17 If the circumference of a circular sheet is 154 m, find the area of the sheet. 
(2/2) 
 
Q.18 Frame the algebraic expression for the following : 
i) Two times a number n increased by six. 
ii) A number p multiplied by itself. 
iii) Subtraction of p from q. 
iv) Product of numbers y and z subtracted from 20.  
v) Half of a number m added to 7. 
Q.19 i)  Express 64 × 243 as a product of prime factors. 
ii)  Write 6894321 in standard form. 
Q.20 What letters of the English alphabet have reflectional symmetry about – 
i) a vertical mirror 
ii) a horizontal mirror 
iii) both horizontal and vertical mirrors. 
Q.21 State the number of lines of symmetry for the following figures – 
i) an equilateral triangle ii)  An isosceles triangle  iii)  A scalene triangle     
iv) a square   v)   a rectangle  vi)  a circle 
Q.22 Write the number of faces, edges and vertices of the following shapes. 
 
SECTION-D (Attempt any 5 questions) 
Q.23 i)  Chalk contains calcium, carbon and oxygen in the ratio 10:3:12. Find the percentage of 
 carbon in chalk. 
ii) Rahul bought a toy car for Rs. 1000. His friend Sahil liked the toy car and wanted to have 
 it for himself, but could not afford to buy it. So Rahul sold the toy car to Sahil for Rs. 
 500. 
a) Calculate the loss percent that Rahul had. 
b) What value is depicted by Rahul through the above action? 
Q.24 Solve – 
i) 
?
?
?
?
?
?
- +
9
4
7
3
  ii) 
?
?
?
?
?
?
- ×
5
14
7
4
  iii) 
?
?
?
?
?
?-
÷ -
5
12
6 
Q.25 Construct ?PQR if PQ=5 cm, ?PQR = 105
0
 and ?QRP = 40
0
. 
Q.26 Two crossroads, each of width 3 m, run at right angles through the centre of a rectangular 
park of length 80 m and breadth 70 m and parallel to its sides. Find the area of the roads. 
Also find the area of the park excluding crossroads. 
Q.27 Subtract y
2
 – 3y – 4 from the sum of    4y
2
 – 2y + 3,   –3y
2
 + 6  and   –5y
2
 + 6y. 
Q.28 Simplify and express the answer in exponential form – 
i) (1
2 
+ 2
2
 – 3
2
) ÷ (–4)
0
  ii) 
3
8 2
13 35
13 7 5
×
× ×
 
Q.29 Fill in the blanks. 
 Shape Order of rotation Angle of rotation  
 Square  
Equilateral triangle 
Circle 
____________ 
____________ 
____________ 
____________ 
____________ 
____________ 
 
 
 
Q.30 Draw the nets of - 
 i)  A cube  ii)  A cylinder  iii)  A cone