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Class 7 Math: CBSE Sample Question Paper Term II - 1 | Mathematics (Maths) Class 7 (Old NCERT) PDF Download

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 Page 1


  
 
CBSE VII | Mathematics 
Sample Paper 1 
 
     
CBSE Board 
Class VII Mathematics 
Term II 
Sample Paper 1 
Time: 2 ½ hours                          Total Marks: 80 
 
General Instructions: 
1. All questions are compulsory.  
2. Section A comprises of 12 questions carrying 1 mark each. 
3. Section B comprises of 12 questions carrying 2 marks each. 
4. Section C comprises of 8 questions carrying 3 marks each. 
5. Section D comprises of 5 questions carrying 4 marks each. 
 
Section A 
(Questions 1 to 12 carry 1 mark each) 
 
1. If there is a discount of 40% on an article costing Rs 7000, then the price after 
discount is 
A. Rs 4500 
B. Rs 4200  
C. Rs 4400 
D. Rs 4600   
 
2. Which of the following is the greatest rational number?  
A. 
15
7
 
B. 
15
8
 
C. 
15
10
 
D. 
15
12
 
 
3. To construct an equilateral triangle, the minimum requirement is 
A. Measure of one angle 
B. Measure of one side 
C. Measure of two sides 
D. Measure of one side and one angle 
 
 
 
 
Page 2


  
 
CBSE VII | Mathematics 
Sample Paper 1 
 
     
CBSE Board 
Class VII Mathematics 
Term II 
Sample Paper 1 
Time: 2 ½ hours                          Total Marks: 80 
 
General Instructions: 
1. All questions are compulsory.  
2. Section A comprises of 12 questions carrying 1 mark each. 
3. Section B comprises of 12 questions carrying 2 marks each. 
4. Section C comprises of 8 questions carrying 3 marks each. 
5. Section D comprises of 5 questions carrying 4 marks each. 
 
Section A 
(Questions 1 to 12 carry 1 mark each) 
 
1. If there is a discount of 40% on an article costing Rs 7000, then the price after 
discount is 
A. Rs 4500 
B. Rs 4200  
C. Rs 4400 
D. Rs 4600   
 
2. Which of the following is the greatest rational number?  
A. 
15
7
 
B. 
15
8
 
C. 
15
10
 
D. 
15
12
 
 
3. To construct an equilateral triangle, the minimum requirement is 
A. Measure of one angle 
B. Measure of one side 
C. Measure of two sides 
D. Measure of one side and one angle 
 
 
 
 
  
 
CBSE VII | Mathematics 
Sample Paper 1 
 
     
4. The figure below is made up of 3 squares of sides 5 cm. What is the perimeter of the 
figure? 
 
A. 15 cm 
B. 30 cm 
C. 40 cm 
D. 50 cm 
 
5. a ? a ? a ? a ? y ? y ? y ? y ? z ? z can be written as   
A. a
4
y
4
z
2
 
B. ayz
10
 
C. ay
8
xz
2
 
D. ayz
8
 
 
6. Which of the following figure has 7 lines of symmetry?   
A. Regular hexagon 
B. Regular octagon 
C. Regular heptagon 
D. Regular triangle 
 
7. A number is chosen at random from 1 to 5. What is the probability that the number 
chosen is odd?                 
A. 
2
5
 
B. 
3
5
 
C. 
1
4
 
D. 
1
6
 
 
8. A regular hexagon has ______ center of rotation.   
A. 1 
B. 2 
C. 3 
D. 4 
 
 
Page 3


  
 
CBSE VII | Mathematics 
Sample Paper 1 
 
     
CBSE Board 
Class VII Mathematics 
Term II 
Sample Paper 1 
Time: 2 ½ hours                          Total Marks: 80 
 
General Instructions: 
1. All questions are compulsory.  
2. Section A comprises of 12 questions carrying 1 mark each. 
3. Section B comprises of 12 questions carrying 2 marks each. 
4. Section C comprises of 8 questions carrying 3 marks each. 
5. Section D comprises of 5 questions carrying 4 marks each. 
 
Section A 
(Questions 1 to 12 carry 1 mark each) 
 
1. If there is a discount of 40% on an article costing Rs 7000, then the price after 
discount is 
A. Rs 4500 
B. Rs 4200  
C. Rs 4400 
D. Rs 4600   
 
2. Which of the following is the greatest rational number?  
A. 
15
7
 
B. 
15
8
 
C. 
15
10
 
D. 
15
12
 
 
3. To construct an equilateral triangle, the minimum requirement is 
A. Measure of one angle 
B. Measure of one side 
C. Measure of two sides 
D. Measure of one side and one angle 
 
 
 
 
  
 
CBSE VII | Mathematics 
Sample Paper 1 
 
     
4. The figure below is made up of 3 squares of sides 5 cm. What is the perimeter of the 
figure? 
 
A. 15 cm 
B. 30 cm 
C. 40 cm 
D. 50 cm 
 
5. a ? a ? a ? a ? y ? y ? y ? y ? z ? z can be written as   
A. a
4
y
4
z
2
 
B. ayz
10
 
C. ay
8
xz
2
 
D. ayz
8
 
 
6. Which of the following figure has 7 lines of symmetry?   
A. Regular hexagon 
B. Regular octagon 
C. Regular heptagon 
D. Regular triangle 
 
7. A number is chosen at random from 1 to 5. What is the probability that the number 
chosen is odd?                 
A. 
2
5
 
B. 
3
5
 
C. 
1
4
 
D. 
1
6
 
 
8. A regular hexagon has ______ center of rotation.   
A. 1 
B. 2 
C. 3 
D. 4 
 
 
  
 
CBSE VII | Mathematics 
Sample Paper 1 
 
     
9. Net for the following solid is 
 
  
A. 
 
B. 
 
C. 
 
D. 
 
 
 
 
Page 4


  
 
CBSE VII | Mathematics 
Sample Paper 1 
 
     
CBSE Board 
Class VII Mathematics 
Term II 
Sample Paper 1 
Time: 2 ½ hours                          Total Marks: 80 
 
General Instructions: 
1. All questions are compulsory.  
2. Section A comprises of 12 questions carrying 1 mark each. 
3. Section B comprises of 12 questions carrying 2 marks each. 
4. Section C comprises of 8 questions carrying 3 marks each. 
5. Section D comprises of 5 questions carrying 4 marks each. 
 
Section A 
(Questions 1 to 12 carry 1 mark each) 
 
1. If there is a discount of 40% on an article costing Rs 7000, then the price after 
discount is 
A. Rs 4500 
B. Rs 4200  
C. Rs 4400 
D. Rs 4600   
 
2. Which of the following is the greatest rational number?  
A. 
15
7
 
B. 
15
8
 
C. 
15
10
 
D. 
15
12
 
 
3. To construct an equilateral triangle, the minimum requirement is 
A. Measure of one angle 
B. Measure of one side 
C. Measure of two sides 
D. Measure of one side and one angle 
 
 
 
 
  
 
CBSE VII | Mathematics 
Sample Paper 1 
 
     
4. The figure below is made up of 3 squares of sides 5 cm. What is the perimeter of the 
figure? 
 
A. 15 cm 
B. 30 cm 
C. 40 cm 
D. 50 cm 
 
5. a ? a ? a ? a ? y ? y ? y ? y ? z ? z can be written as   
A. a
4
y
4
z
2
 
B. ayz
10
 
C. ay
8
xz
2
 
D. ayz
8
 
 
6. Which of the following figure has 7 lines of symmetry?   
A. Regular hexagon 
B. Regular octagon 
C. Regular heptagon 
D. Regular triangle 
 
7. A number is chosen at random from 1 to 5. What is the probability that the number 
chosen is odd?                 
A. 
2
5
 
B. 
3
5
 
C. 
1
4
 
D. 
1
6
 
 
8. A regular hexagon has ______ center of rotation.   
A. 1 
B. 2 
C. 3 
D. 4 
 
 
  
 
CBSE VII | Mathematics 
Sample Paper 1 
 
     
9. Net for the following solid is 
 
  
A. 
 
B. 
 
C. 
 
D. 
 
 
 
 
  
 
CBSE VII | Mathematics 
Sample Paper 1 
 
     
10. For what value of k, we have 7x
2
 - 5x + k = -4, given that x = -2,   
A. 22 
B. -42 
C. -22 
D. 42 
 
11. In the figure given below, the measure of y is           
A. 30° 
B. 120° 
C. 130° 
D. 150° 
 
 
 
12. -5 + 9 + (-5) + (-10) + (1) is equal to 
A. 13 
B. -13 
C. -10 
D. 10 
 
Section B 
(Questions 13 to 24 carry 2 marks each) 
 
13. If 
2x 1 x 2
,
32
??
?
then find the value of x. 
 
14. A family reduced the consumption of sugar from 10 kg to 8 kg per month due to 
increase in price. Find the percentage decrease in consumption. 
  
15. Write the rational form of the decimal and represent it on a number line: 
(i) -0.25   (ii) 0.8  
  
16. Find AB, if the area of the triangle ABC is 48 m
2
 and the height CD is 12 m. 
 
  
17. Simplify: 3(a + b) - 2(2a - b) + 4a - 7.  
Page 5


  
 
CBSE VII | Mathematics 
Sample Paper 1 
 
     
CBSE Board 
Class VII Mathematics 
Term II 
Sample Paper 1 
Time: 2 ½ hours                          Total Marks: 80 
 
General Instructions: 
1. All questions are compulsory.  
2. Section A comprises of 12 questions carrying 1 mark each. 
3. Section B comprises of 12 questions carrying 2 marks each. 
4. Section C comprises of 8 questions carrying 3 marks each. 
5. Section D comprises of 5 questions carrying 4 marks each. 
 
Section A 
(Questions 1 to 12 carry 1 mark each) 
 
1. If there is a discount of 40% on an article costing Rs 7000, then the price after 
discount is 
A. Rs 4500 
B. Rs 4200  
C. Rs 4400 
D. Rs 4600   
 
2. Which of the following is the greatest rational number?  
A. 
15
7
 
B. 
15
8
 
C. 
15
10
 
D. 
15
12
 
 
3. To construct an equilateral triangle, the minimum requirement is 
A. Measure of one angle 
B. Measure of one side 
C. Measure of two sides 
D. Measure of one side and one angle 
 
 
 
 
  
 
CBSE VII | Mathematics 
Sample Paper 1 
 
     
4. The figure below is made up of 3 squares of sides 5 cm. What is the perimeter of the 
figure? 
 
A. 15 cm 
B. 30 cm 
C. 40 cm 
D. 50 cm 
 
5. a ? a ? a ? a ? y ? y ? y ? y ? z ? z can be written as   
A. a
4
y
4
z
2
 
B. ayz
10
 
C. ay
8
xz
2
 
D. ayz
8
 
 
6. Which of the following figure has 7 lines of symmetry?   
A. Regular hexagon 
B. Regular octagon 
C. Regular heptagon 
D. Regular triangle 
 
7. A number is chosen at random from 1 to 5. What is the probability that the number 
chosen is odd?                 
A. 
2
5
 
B. 
3
5
 
C. 
1
4
 
D. 
1
6
 
 
8. A regular hexagon has ______ center of rotation.   
A. 1 
B. 2 
C. 3 
D. 4 
 
 
  
 
CBSE VII | Mathematics 
Sample Paper 1 
 
     
9. Net for the following solid is 
 
  
A. 
 
B. 
 
C. 
 
D. 
 
 
 
 
  
 
CBSE VII | Mathematics 
Sample Paper 1 
 
     
10. For what value of k, we have 7x
2
 - 5x + k = -4, given that x = -2,   
A. 22 
B. -42 
C. -22 
D. 42 
 
11. In the figure given below, the measure of y is           
A. 30° 
B. 120° 
C. 130° 
D. 150° 
 
 
 
12. -5 + 9 + (-5) + (-10) + (1) is equal to 
A. 13 
B. -13 
C. -10 
D. 10 
 
Section B 
(Questions 13 to 24 carry 2 marks each) 
 
13. If 
2x 1 x 2
,
32
??
?
then find the value of x. 
 
14. A family reduced the consumption of sugar from 10 kg to 8 kg per month due to 
increase in price. Find the percentage decrease in consumption. 
  
15. Write the rational form of the decimal and represent it on a number line: 
(i) -0.25   (ii) 0.8  
  
16. Find AB, if the area of the triangle ABC is 48 m
2
 and the height CD is 12 m. 
 
  
17. Simplify: 3(a + b) - 2(2a - b) + 4a - 7.  
  
 
CBSE VII | Mathematics 
Sample Paper 1 
 
     
18. If 5
2x + 1
 25 = 125, find the value of x.  
 
19. Give an example of an alphabet which has 2 lines of symmetry as well as rotational 
symmetry of order 2.  
  
20. Count the number of unit cubes in the following solid. 
  
  
21. Complete the following images whose one half and axis of symmetry is given. 
  
  
22. Express the following numbers in exponent form. 
(i) 343000  (ii)   2048  
  
23. A farmer sold 
3
5
 of his 
1
56
2
 tons of hay. How many tons of hay did he sell? 
 
24. In the figure below, lines m and p are parallel; t is a transversal. 
If ? ? ?
o
a 57 , then find z. 
 
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FAQs on Class 7 Math: CBSE Sample Question Paper Term II - 1

1. What topics are covered in the CBSE Class 7 Maths Term II sample question paper?
Ans. The CBSE Class 7 Mathematics Term II sample paper typically includes integers, fractions, decimals, rational numbers, simple equations, lines and angles, triangles, symmetry, data handling, and basic geometry concepts. Students should review algebraic expressions, perimeter and area calculations, and probability fundamentals. Refer to mind maps and flashcards to organize these key areas before attempting the full sample paper.
2. How do I solve word problems on simple equations in Class 7 Maths?
Ans. Word problems require identifying the unknown variable, translating the problem statement into an algebraic equation, and solving step-by-step. Read carefully to extract numerical information and relationships between quantities. Practice converting everyday language into mathematical expressions first. Using worksheets with progressive difficulty helps strengthen this translational skill before attempting exam-style questions.
3. What's the difference between rational numbers and integers in CBSE Class 7?
Ans. Integers include all whole numbers and their negatives (...-2, -1, 0, 1, 2...), whereas rational numbers are any numbers expressible as fractions where numerator and denominator are integers and denominator isn't zero. All integers are rational numbers, but not all rational numbers are integers-fractions like 3/4 are rational but not integers. This distinction is crucial for Number System questions.
4. How should I approach geometry questions on lines, angles, and triangles for this sample paper?
Ans. Geometry questions demand identifying angle relationships (vertically opposite, linear pairs, corresponding angles) and triangle properties (angle sum, congruence, types). Draw diagrams accurately and label all measurements. Understand angle classifications and triangle inequality before solving. Practise with visual worksheets showing geometric configurations to build spatial reasoning essential for scoring well on construction and identification questions.
5. What formulas do I need to memorize for Class 7 Maths Term II sample questions?
Ans. Essential formulas include perimeter of shapes (rectangle, square, triangle), area calculations (rectangle, triangle, circle), volume basics, and algebraic identities. Memorize the relationship between fractions, decimals, and percentages. Data handling requires mean, median, and mode definitions. Rather than rote memorization, understand derivations using flashcards and PPTs that explain why each formula works, ensuring retention and application accuracy.
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