Class 7 Math: Sample Question Paper – 4 | Sample Papers For Class 7 PDF Download

 Page 1


(1/3) 
MATHEMATICS 
 Class VII 
General Instructions: 
• The question paper consists of 30 questions divided into 4 sections A, B, C and D. Section A 
comprises  5 questions of 1 mark each. Section B comprises  5 questions of 3 marks each. 
Section C comprises 12 questions of 5 marks each. Section D comprises 8 questions of 6 
marks each. 
• In Section - A and B all questions are compulsory. In Section – C solve any 10 questions. In 
Section – D solve any 5 questions. 
• Draw neat diagrams wherever needed. 
• Use of calculator is not permitted. 
 
SECTION – A 
Q.1 Find 
5
2
of 30. 
Q.2 A coin is flipped to decide which team starts the game. What is the probability that your 
team will start? 
Q.3 Find m if 
6
m
 = 6 
Q.4 A _______ connects a vertex of a triangle to the mid point of the opposite side. 
Q.5 Two circles are congruent if ________________________. 
SECTION – B 
Q.6 Following are the ages ( in years) of 10 people in a group:  23, 35 , 32, 22, 25, 40, 42, 
36, 45, 33. 
i) Find the age of the oldest person of the group 
ii) Find the age of the youngest person of the group 
iii)  Find the range of the above data. 
Q.7 Solve : 4(m+3) = 18 
Q.8 Find x, y and z  
 
Q.9 Find a, b and c in the given figure 
 
Q.10 State True/False: 
i) The mode is always one of the numbers in a data 
ii) The number of times a particular observation occurs is called its mean. 
iii) A bar graph is a representation of numbers using bars of uniform width. 
Page 2


(1/3) 
MATHEMATICS 
 Class VII 
General Instructions: 
• The question paper consists of 30 questions divided into 4 sections A, B, C and D. Section A 
comprises  5 questions of 1 mark each. Section B comprises  5 questions of 3 marks each. 
Section C comprises 12 questions of 5 marks each. Section D comprises 8 questions of 6 
marks each. 
• In Section - A and B all questions are compulsory. In Section – C solve any 10 questions. In 
Section – D solve any 5 questions. 
• Draw neat diagrams wherever needed. 
• Use of calculator is not permitted. 
 
SECTION – A 
Q.1 Find 
5
2
of 30. 
Q.2 A coin is flipped to decide which team starts the game. What is the probability that your 
team will start? 
Q.3 Find m if 
6
m
 = 6 
Q.4 A _______ connects a vertex of a triangle to the mid point of the opposite side. 
Q.5 Two circles are congruent if ________________________. 
SECTION – B 
Q.6 Following are the ages ( in years) of 10 people in a group:  23, 35 , 32, 22, 25, 40, 42, 
36, 45, 33. 
i) Find the age of the oldest person of the group 
ii) Find the age of the youngest person of the group 
iii)  Find the range of the above data. 
Q.7 Solve : 4(m+3) = 18 
Q.8 Find x, y and z  
 
Q.9 Find a, b and c in the given figure 
 
Q.10 State True/False: 
i) The mode is always one of the numbers in a data 
ii) The number of times a particular observation occurs is called its mean. 
iii) A bar graph is a representation of numbers using bars of uniform width. 
(2/3) 
SECTION – C 
Q.11 Subtract the quotient of (-12) ÷ 4 from the product of (-12) and 4. 
Q.12 
If the cost of a register is Rs.7
4
3
, find the number of registers that can be purchased for 
Rs.69
4
3
. 
Q.13 Find the mean, median and mode of the following data:  
14, 15, 13, 14, 12, 11, 11, 14, 12, 15, 13, 11, 12, 11, 23, 14, 14 
Q.14 
Solve :  
5
2
3
5
7
2
= - y 
Q.15 In the adjoining figure, name one pair of angles that are: 
i) Vertically opposite angles 
ii) Linear pair 
iii) Adjacent angles that do not form a linear pair 
iv) Complementary angles 
v) Unequal supplementary angles 
Q.16 A storm caused a tree to fall from a height of 6m above the ground. The two parts of the 
tree did not separate and the treetop touches the ground at a distance of 8m from its base. 
What was the actual height of the tree? 
Q.17 Solve using suitable properties : 
i) 52 × (-98) + 52 × (-2)   ii)   8 × 77 × (-125) 
Q.18 Divya bought 150 kg 250 g pulses, 500 kg 750 g wheat and 275kg 500g rice. She sent all 
these things to the flood affected areas in the rainy season.  
a) Which grain was bought in maximum quantity? 
b) How much total quantity did she buy? 
c) What moral (value) do you learn from it? 
Q.19 Age of Sharanya’s father is 4 years more than five times Sharanya’s age. What is 
Sharanya’s present age if her father is 34 years old? 
Q.20 In the adjoining figure identify: 
i) Two pairs of corresponding angles 
ii) One pair of alternate interior angles 
iii) One pair of vertically opposite angles 
iv) One pair of alternate exterior angles 
 
Q.21 PS is the median of the triangle PQR. Is PQ + QR + RS > 2 PS ? 
Q.22 Which is greater : 
54
49
7
6
of    or     
49
40
8
7
of  ? 
SECTION – D 
Q.23 In a quiz based programme there are three teams A, B and C. There are total five rounds 
in a game; 20 marks are given for each correct answer and -10 marks for each wrong 
answer. No marks are deducted for not attempting a question. Which team won the game 
if: 
Page 3


(1/3) 
MATHEMATICS 
 Class VII 
General Instructions: 
• The question paper consists of 30 questions divided into 4 sections A, B, C and D. Section A 
comprises  5 questions of 1 mark each. Section B comprises  5 questions of 3 marks each. 
Section C comprises 12 questions of 5 marks each. Section D comprises 8 questions of 6 
marks each. 
• In Section - A and B all questions are compulsory. In Section – C solve any 10 questions. In 
Section – D solve any 5 questions. 
• Draw neat diagrams wherever needed. 
• Use of calculator is not permitted. 
 
SECTION – A 
Q.1 Find 
5
2
of 30. 
Q.2 A coin is flipped to decide which team starts the game. What is the probability that your 
team will start? 
Q.3 Find m if 
6
m
 = 6 
Q.4 A _______ connects a vertex of a triangle to the mid point of the opposite side. 
Q.5 Two circles are congruent if ________________________. 
SECTION – B 
Q.6 Following are the ages ( in years) of 10 people in a group:  23, 35 , 32, 22, 25, 40, 42, 
36, 45, 33. 
i) Find the age of the oldest person of the group 
ii) Find the age of the youngest person of the group 
iii)  Find the range of the above data. 
Q.7 Solve : 4(m+3) = 18 
Q.8 Find x, y and z  
 
Q.9 Find a, b and c in the given figure 
 
Q.10 State True/False: 
i) The mode is always one of the numbers in a data 
ii) The number of times a particular observation occurs is called its mean. 
iii) A bar graph is a representation of numbers using bars of uniform width. 
(2/3) 
SECTION – C 
Q.11 Subtract the quotient of (-12) ÷ 4 from the product of (-12) and 4. 
Q.12 
If the cost of a register is Rs.7
4
3
, find the number of registers that can be purchased for 
Rs.69
4
3
. 
Q.13 Find the mean, median and mode of the following data:  
14, 15, 13, 14, 12, 11, 11, 14, 12, 15, 13, 11, 12, 11, 23, 14, 14 
Q.14 
Solve :  
5
2
3
5
7
2
= - y 
Q.15 In the adjoining figure, name one pair of angles that are: 
i) Vertically opposite angles 
ii) Linear pair 
iii) Adjacent angles that do not form a linear pair 
iv) Complementary angles 
v) Unequal supplementary angles 
Q.16 A storm caused a tree to fall from a height of 6m above the ground. The two parts of the 
tree did not separate and the treetop touches the ground at a distance of 8m from its base. 
What was the actual height of the tree? 
Q.17 Solve using suitable properties : 
i) 52 × (-98) + 52 × (-2)   ii)   8 × 77 × (-125) 
Q.18 Divya bought 150 kg 250 g pulses, 500 kg 750 g wheat and 275kg 500g rice. She sent all 
these things to the flood affected areas in the rainy season.  
a) Which grain was bought in maximum quantity? 
b) How much total quantity did she buy? 
c) What moral (value) do you learn from it? 
Q.19 Age of Sharanya’s father is 4 years more than five times Sharanya’s age. What is 
Sharanya’s present age if her father is 34 years old? 
Q.20 In the adjoining figure identify: 
i) Two pairs of corresponding angles 
ii) One pair of alternate interior angles 
iii) One pair of vertically opposite angles 
iv) One pair of alternate exterior angles 
 
Q.21 PS is the median of the triangle PQR. Is PQ + QR + RS > 2 PS ? 
Q.22 Which is greater : 
54
49
7
6
of    or     
49
40
8
7
of  ? 
SECTION – D 
Q.23 In a quiz based programme there are three teams A, B and C. There are total five rounds 
in a game; 20 marks are given for each correct answer and -10 marks for each wrong 
answer. No marks are deducted for not attempting a question. Which team won the game 
if: 
(3/3) 
• Team – A gave 3 correct answers and 2 wrong answers. 
• Team – B gave 2 correct answers, 2 wrong answers and they didn’t attempt 1 
question. 
• Team – C gave 3 correct answers, 1 wrong answer and they didn’t attempt 1 
question. 
Q.24 Find the perimeters of triangle ABE and rectangle BCDE. 
 
Q.25 In an isosceles triangle, the vertex angle is thrice of either base angles. Find the 
measures of angles of the triangle. 
Q.26 In the adjoining figure line p is parallel to line q and t is the transversal. Find ?a, ?b, 
?c, ?d, ?e and ?f. 
 
Q.27 Find the perimeter of the rectangle whose length is 40cm and a diagonal is 41cm. 
Q.28 In the given figure, AB = AC and AD is the bisector of ?BAC. 
i)  State three pairs of equal parts in triangles ADB and ADC. 
ii) Is  ?ADB ??ADC? Give reasons. 
iii) Is ?B = ?C? Give reason. 
Q.29 Fill in the blanks: 
i)  7 paise = Rs.______ 
ii)  3 kg 2 gm = ____ kg 
iii)  25cm = ____ m 
iv)  612 mm = _____ cm 
v)  315 m = ____ km 
vi)  82 Rs 2 p = Rs ____ 
Q.30 The number of girls and boys in the various clubs of a school are given below: 
Clubs Dramatic Literary Maths Eco Consumer 
Girls 35 20 50 40 45 
Boys 25 15 70 35 45 
Draw a double bar graph to represent the above data.