Class 7 Maths Chapter 13 Test Paper Set-3 Pdf Download CBSE

Test Paper Of Class 7 Maths Chapter 13 Exponents And Power

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Chapter 13 Test Paper (03)

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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 – 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 × 10¹                                    (b) 123.45 × 10²     

(c) 12.345 × 10³                                    (d) 1.2345 × 10⁴

3. Cube of -1/4 is

(a) –1/12               (b) 1/16                   (c) -1/64                    (d) 1/64

4. In standard form 72 crore is written as

(a) 72 × 10⁷          (b) 72 × 10⁸             (c) 7.2 × 10⁸              (d) 7.2 × 10⁷

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 – B

6. Find the value of:

(i) 2⁶                                                     (ii) 11²

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

(a) 1024                                               (b) 1029

8. Simplify:

(i) 0 × 10²                                             (ii) 5² × 3³

9. Express the following numbers in standard form:

(i) 39087.8                                           (ii) 3908.78

Section – 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) 2⁹ or 9²                     (b) 7.9 × 10⁴ or 5.28 × 10⁵           (c) 2⁶ or 6²

12. Simplify:

(i) (–3) × (–2)³                        (ii) (–3)² × (–5)²                   (iii) (–2)³ × (–10)³

Section – D

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

(a) 125 x 5² x a⁷/10³ x a⁴  

(b) 3⁴ x 12³ x 36/2⁵ x 6³

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