Test Paper Of Class 7 Maths Chapter 13 Exponents And Power

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Chapter 13 Test Paper (03**)**

## Class 7 Maths Chapter 13 Exponents And Power Test Paper Set-3 Text Form:-

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**SAMPLE PAPER (03)**

** CLASS: 7 MAX. MARKS :30 SUBJECT: MATHEMATICS TIME: 1:30 HOUR CH: 12 (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. [(-3)^{2}]^{3 }is equal to

(a) (-3)^{8} (b) (-3)^{6} (c) (-3)^{5} (d) 9-3)^{23}

2. The standard form of the number 12345 is

(a) 1234.5 Ć 10^{1} (b) 123.45 Ć 10^{2}

(c) 12.345 Ć 10^{3} (d) 1.2345 Ć 10^{4}

3. Cube of -1/4 is

(a) ā1/12 (b) 1/16 (c) -1/64 (d) 1/64

4. In standard form 72 crore is written as

(a) 72 Ć 10^{7} (b) 72 Ć 10^{8} (c) 7.2 Ć 10^{8} (d) 7.2 Ć 10^{7}

5. x is a non-zero rational number. Product of the square of x with the cube of x is equal to the

(a) second power of x (b) third power of x

(c) fifth power of x (d) sixth power of x

**Section ā B**

6. Find the value of:

(i) 2^{6} (ii) 11^{2}

7. Express each of the following numbers using exponential notations:

(a) 1024 (b) 1029

8. Simplify:

(i) 0 Ć 10^{2} (ii) 5^{2} Ć 3^{3}

9. Express the following numbers in standard form:

(i) 39087.8 (ii) 3908.78

**Section ā C**

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

(i) 405 (ii) 540 (iii) 3,600

11. Identify the greater number.

(a) 2^{9} or 9^{2} (b) 7.9 Ć 10^{4} or 5.28 Ć 10^{5 } (c) 2^{6} or 6^{2}

12. Simplify:

(i) (ā3) Ć (ā2)^{3} (ii) (ā3)^{2} Ć (ā5)^{2} (iii) (ā2)^{3 }Ć (ā10)^{3}

**Section ā D**

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

(a) 125 x 5^{2} x a^{7}/10^{3} x a^{4 }

(b) 3^{4} x 12^{3} x 36/2^{5} x 6^{3}

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

(a) The distance between Earth and Moon is 384,000,000 m.

(b) Speed of light in vacuum is 300,000,000 m/s.

(c) Diameter of the Earth is 1,27,56,000 m.

(d) Diameter of the Sun is 1,400,000,000 m

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