Class 7 Mathematics
Annual Examination – Model Question Paper
Time: 3 Hours | Maximum Marks: 80
Based on NCERT Pattern – With Detailed Answers
SECTION A: MCQs (1 × 10 = 10 Marks)
Q1. What is the value of 2⁴?
A. 8 B. 12 C. 16 D. 4
Answer: C
Explanation: 2⁴ = 2 × 2 × 2 × 2 = 16
Q2. How many edges does a cube have?
A. 6 B. 8 C. 10 D. 12
Answer: D
Q3. Which triangle has no line of symmetry?
A. Isosceles B. Equilateral C. Scalene D. Right
Answer: C
Q4. What is 10³?
A. 30 B. 300 C. 1000 D. 10
Answer: C
Q5. Which is a 3D shape?
A. Square B. Circle C. Cube D. Triangle
Answer: C
SECTION B: Very Short Answer (2 × 10 = 20 Marks)
Q6. Write 5 × 5 × 5 in exponential form.
Answer: 5³
Q7. How many lines of symmetry does a square have?
Answer: 4 lines
Q8. Name any one rational number.
Answer: 3/4
Q9. What is the value of 7⁰?
Answer: 1
Q10. Name a solid shape with no edges.
Answer: Sphere
SECTION C: Short Answer (4 × 10 = 40 Marks)
Q11. Simplify: 3² × 3³
Step 1: Use law of exponents
3² × 3³ = 32+3
Step 2: 3⁵ = 243
Q12. How many faces, edges, and vertices does a cube have?
Faces = 6
Edges = 12
Vertices = 8
Q13. Explain line symmetry with an example.
Line symmetry means dividing a figure into two equal mirror halves.
Example: A rectangle has 2 lines of symmetry.
Q14. Differentiate between 2D and 3D shapes.
| 2D Shapes | 3D Shapes |
|---|---|
| Length & Breadth | Length, Breadth & Height |
| Square | Cube |
SECTION D: Long Answer (5 × 2 = 10 Marks)
Q15. Explain the laws of exponents.
- am × an = am+n
- am ÷ an = am−n
- (am)n = am×n
Q16. Explain rotational symmetry with examples.
A figure has rotational symmetry if it looks the same after rotation.
Example: Square (order 4)
Shaktimatha CBSE Learning
Class 7 Mathematics – Annual Exam Model Paper with Answers
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