Grade 7 Mathematics Question Paper
Chapter: Exponents and Powers
Total Marks: 25
Time: 1 Hour
Section A: Very Short Answer Questions (1 mark each)
1. Evaluate: 23.
2. Express 512 as a power of 2.
3. Simplify: 50 × 31.
4. Write 0.0005 in standard form (using exponents).
5. Simplify and express with a positive exponent: (2/5)-4.
Section B: Short Answer I (2 marks each)
6. Simplify: (24 × 32) / (22 × 3).
7. Find m if 5m ÷ 5-3 = 55.
8. Express 405 as a product of its prime factors in exponential form.
9. Compare 210 and 102. Which is greater?
10. Expand 3005.008 using exponents.
Section C: Short Answer II (3 marks each)
11. Simplify: ((52)3 × 54) / 57.
12. A bacteria culture doubles every hour. Starting with 1000 bacteria, how many will there be after 6 hours? Write your answer in exponential form.
13. If a = 2 and b = 3, evaluate: (ab + ba) / (a-b + b-a).
Section D: Application-Based Question (3 marks)
14. The distance between Earth and Mars is approximately 2.25 × 108 km. If a spacecraft travels at 5 × 104 km/h, how many hours will it take to reach Mars?
Answer Key
Section A
1. 8
2. 29
3. 3
4. 5 × 10-4
5. (5/2)4 = 625/16 or 39.0625
Section B
6. 12
7. m = 2
8. 34 × 51
9. 210 > 102
10. 3 × 103 + 5 × 100 + 8 × 10-3
Section C
11. 125
12. 1000 × 26 = 6.4 × 104
13. 72
Section D
14. 4.5 × 103 hours