Test Paper Of Class 7 Maths Chapter 13 Exponents And Power

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Chapter 13 Test Paper (04**)**

## Class 7 Maths Chapter 13 Exponents And Power Test Paper Set-4 Text Form:-

**PGRMS EDUCATION**

**SAMPLE PAPER (04)**

** 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. For a non-zero rational number x, x^{8} Ć· x^{2} is equal to

(a) x^{4} (b) x^{6} (c) x^{10} (d) x^{16 }

2. amĆ an is equal to

(a) a^{2mn} (b) a^{mān }(c) a^{m+n }(d) a^{mn}

3. Which of the following is equal to 1?

(a) 2^{0} + 3^{0} + 4^{0} (b) 2^{0} Ć 3^{0 }Ć 4^{0}

(c) (3^{0} ā 2^{0}) Ć 4^{0} (d) (3^{0} ā 2^{0}) Ć (3^{0} +2^{0})

4. In standard form, the number 829030000 is written as K Ć 10^{8} where K is equal to

(a) 82903 (b) 829.03 (c) 82.903 (d) 8.2903

5. Which of the following has the largest value?

(a) 0.0001 (b) 1/10000 (c) 1/10^{6} (d) (1/10^{6})Ć· 0.1

**Section ā B**

6. Find the value of:

(i) 9^{3} (ii) 5^{4}

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

(a) 144 (b) 875

8. Simplify:

(i) 2^{4} Ć 3^{2} (ii) 3^{2} Ć 10^{4}

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

(i) (5^{2})^{2} Ć· 5^{3} (ii) 2^{5} Ć 5^{5}

**Section ā C**

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

(a) 9000 (b) 2025 (c) 800

11. Identify the greater number.

(a) 2^{6} or 6^{2} (b) 2^{9} or 9^{2 } (c) 5^{3} or 3^{5}

12. Simplify:

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

**Section ā D**

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

(a) 15^{4} x 18^{3}/3^{3} x 5^{2} x 12^{2 }

(b) 6^{4} x 9^{2} x 25^{3}/3^{2} x 4^{2} x 15^{6}

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

(a) The distance of the Sun from the centre of the Milky Way Galaxy is estimated to be 300,000,000,000,000,000,000 m.

(b) 60,230,000,000,000,000,000,000 molecules are contained in a drop of water weighing 1.8 gm.

(c) The earth has 1,353,000,000 cubic km of sea water.

(d) The population of India was about 1,027,000,000 in March, 2001.