Class 7 Mathematics

Model Question Paper – SET 1

Time: 3 Hours | Maximum Marks: 80

NCERT Based | Fully Solved | Student Friendly

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SECTION A: MCQs (1 × 10 = 10 Marks)

Q1. What is the value of 4²?

A. 8   B. 12   C. 16   D. 4

Answer: C

Explanation: 4² = 4 × 4 = 16

Q2. How many vertices does a cube have?

A. 6   B. 8   C. 10   D. 12

Answer: B

Q3. Which number is a rational number?

A. √2   B. π   C. 3/5   D. √5

Answer: C

Q4. How many lines of symmetry does a rectangle have?

A. 1   B. 2   C. 3   D. 4

Answer: B

Q5. Which is a 3D shape?

A. Circle   B. Square   C. Triangle   D. Cube

Answer: D

SECTION B: Very Short Answer (2 × 10 = 20 Marks)

Q6. Write 6 × 6 × 6 in exponential form.

Answer: 6³

Q7. What is the value of 9⁰?

Answer: 1

Q8. Name any one 3D shape.

Answer: Sphere

Q9. How many faces does a cube have?

Answer: 6

Q10. Write one example of a rational number.

Answer: 5/7

SECTION C: Short Answer (4 × 10 = 40 Marks)

Q11. Simplify: 5² × 5³

Step 1: Use law of exponents
5² × 5³ = 5²⁺³
Step 2: 5⁵ = 3125

Q12. How many faces, edges, and vertices does a cuboid have?

Faces = 6
Edges = 12
Vertices = 8

Q13. What is line symmetry? Give one example.

Line symmetry means dividing a figure into two equal mirror halves.
Example: Square

Q14. Differentiate between rational and irrational numbers.

Rational numbers can be written as p/q.
Example: 2/3
Irrational numbers cannot be written as p/q.
Example: √2

SECTION D: Long Answer (5 × 2 = 10 Marks)

Q15. Explain laws of exponents with examples.

• a^m × aⁿ = a^m+n
• a^m ÷ aⁿ = a^m−n
• (a^m)ⁿ = a^m×n

Q16. Explain rotational symmetry with one example.

A figure has rotational symmetry if it looks the same after rotation.
Example: Square (order 4)

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Class 7 Mathematics – Model Question Paper SET 1

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