Class 7 Mathematics

Model Question Paper with Answers

Based on NCERT Pattern | For Practice & Understanding

                                           

SECTION A: MCQs (1 × 5 = 5 Marks)

Q1. What is the value of 3²?

A. 6    B. 9    C. 12    D. 3

Answer: B

Explanation:
3² means 3 × 3 = 9

Q2. How many faces does a cube have?

A. 4    B. 5    C. 6    D. 8

Answer: C

Explanation:
A cube has 6 flat faces.

SECTION B: Very Short Answer (2 × 5 = 10 Marks)

Q3. Write 10 × 10 × 10 in exponential form.

Answer:
10 is multiplied 3 times.
So, 10³

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

Answer:
A rectangle has 2 lines of symmetry.

SECTION C: Short Answer (3 × 5 = 15 Marks)

Q5. Simplify: 2³ × 2²

Step 1: Use law of exponents

2³ × 2² = 2³⁺²

Step 2: Add powers

2⁵ = 32

Final Answer: 32

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Q6. How many edges and vertices does a cube have?

Answer:

• Edges = 12
• Vertices = 8

SECTION D: Long Answer (5 × 3 = 15 Marks)

Q7. Explain line symmetry with examples.

Answer:
Line symmetry means a figure can be divided into two equal mirror halves.

• Square – 4 lines of symmetry
• Rectangle – 2 lines of symmetry
• Circle – infinite lines of symmetry

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Q8. Differentiate between 2D and 3D shapes.

Answer:

2D Shapes	3D Shapes
Have length & breadth	Have length, breadth & height
Example: Square	Example: Cube

SECTION E: Case Study / Application (5 Marks)

Q9. A dice is used in a game.

(a) Name the shape of dice
(b) Number of faces
(c) Number of vertices

Answer:

• (a) Cube
• (b) 6 faces
• (c) 8 vertices

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Class 7 Mathematics – Model Question Paper with Answers

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