Test Paper Of Class 7 Maths Chapter 13 Exponents And Power

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**Chapter 13 Test Paper (02)**

## Class 7 Maths Chapter 13 Exponents And Power Test Paper Set-2 Text Form:-

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**SAMPLE PAPER (02)**

**CLASS: 7 MAX. MARKS : 30 SUBJECT: MATHEMATICS TIME: 1:30 HOUR CH: 13 (Exponents and Powers)**

**General Instructions:**

I. All questions are compulsory.

II. This question paper contains 14 questions divided into four Sections A, B, C and D.

III. Section A has 5 questions of 1 mark each. Section B has 4 questions of 2 marks each. Section C has 3 questions of 3 marks each. and Section D has 2 questions of 4 marks each.

IV. Use of Calculators is not permitted.

**Section ā A**

**In Questions 1 to 5, there are four options, out of which one is correct. Write the correct answer.**

1. ( -7)^{5} x (-7)^{3} is equal to

(a) (-7)^{8 } (b) ā (7)^{8} (c) (-7)^{15} (d) (-7)^{2 }

2. For any two non-zero rational numbers x and y, x^{5 }y^{5} Ć· is equal to

(a) (xĆ·y)^{1} (b) (xĆ·y)^{0} (c) (xĆ·y)^{5} (d) (xĆ·y)^{10}

3. Value of 10^{22} + 10^{20} /10^{20 }is

(a) 10 (b) 10^{42} (c) 101 (d) 10^{22}

4. Square of (-2/3) is

(a) -2/3 (b) 2/3 (c) -4/9 (d) 4/9

5. Which of the following is not true?

(a) 3^{2} > 2^{3} (b) 4^{3} = 2^{6} (c) 3^{3} = 9 (d) 2^{5} > 5^{2}

**Section ā B**

6. Express the following numbers as a product of powers of prime factors: (i) 432 (ii) 16000

7. Simplify:

(i) 2^{3 }Ć 5 (ii) 3 Ć 4^{4}

8. Say true or false:

(i) 10 Ć 10^{11} = 100^{11} (ii) 2^{3} > 5^{2}

(iii) 2^{3} Ć 3^{2} = 6^{5} (iv) 3^{0} = (1000)^{0}

9. Using laws of exponents, simplify and write the answer in exponential form:

(iii) a^{3 }Ć a^{2 } (iv) 7 ^{x}Ć7^{2}

**Section ā C**

10. Express each of the following as product of powers of their prime factors:

(i) 648 (ii) 405 (iii) 540

11. Identify the greater number.

(i) 2^{8 } or 8^{2} (ii) 100^{2} or 2^{100 } (iii) 2^{10} or 10^{2}

12. Simplify:

(i) 3 Ć 4^{4} (ii) 0 Ć 10^{2} (iii) 5^{2 }Ć 3^{3}

**Section ā D**

13. Simplify and express each of the following in exponential form:

(a) 7^{8 }x a^{10} b^{7} c^{12}/7^{6} x a^{8} x b^{4} x c^{12}

(b) 5^{4} x 7^{4} x 2^{7}/8 x 49 x 5^{3}

14. Express the number appearing in the following statements in standard form.

(a) 76,47,000 (b) 8,19,00,000

(c) 5, 83,00,00,00,000 (d) 24 billion