Class 8 Maths Chapter 6 and 7 Test Paper Set-3 Pdf Download CBSE

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Chapter 6 & 7 Test Paper (03)

Class 8 Maths Chapter 6 & 7 Squares and Square Roots Cubes and Cube Roots Test Paper Set-3 Text

PGRMS Education (Worksheet)

SAMPLE PAPER (3)
CLASS: 6 MAX. MARKS :30
SUBJECT: MATHEMATICS TIME: 1:30 HOUR
CH: 6,7 (Squares and Square Roots)

(Cubes and Cube Roots)
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 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 10, there are four options, out of which one is correct. Write the correct answer.

1. How many natural numbers lie between 18² and 19²?

(a) 30 (b) 37

2. Which of the following is a square of an even number?

(a) 144 (b) 169 (c) 441 (d) 625

3. Which of the following cannot be a perfect square?

(a) 841 (b) 529

4. Which of the following numbers is a perfect cube?

(a) 243 (b) 216 (c) 392 (d) 8640

5. A perfect square can never have the following digit in its ones place.

(a) 1 (b) 8

Section – B

6. What will be the unit digit of the squares of the following numbers?

(i) 1234 (ii) 26387

7. Find the smallest number by which each of the following numbers must be multiplied to obtain a perfect cube.

(i) 243 (ii) 256

8. (a) Express 49 as the sum of 7 odd numbers.

(b) Express 121 as the sum of 11 odd numbers.

9. State true

or false.

(a) Cube of any odd number is even.

(b) A perfect cube does not end with two zeros.

Section – C

10. Using prime factorisation, find the square roots of

11. Find the square roots of the following numbers by the Prime Factorisation Method.

(i) 5929

(ii) 9216

(iii) 529

12. For each of the following numbers, find the smallest whole number by which it should be divided so as to get a perfect square. Also find the square root of the square number so obtained.

(i) 252

(ii) 2925

(iii) 396

Section – D

13. (a) Find the least number which must be added to each of the following numbers so as to get a perfect square. Also find the square root of the perfect square so obtained.

(i) 525 (ii) 1750

(b) Find the smallest square number that is divisible by each of the numbers 8, 15 and 20.

14. (a) The students of Class VIII of a school donated Rs. 2401 in all, for Prime Minister’s to get a perfect square. Also find the square root of the perfect square so obtained.in the class.

(b) Difference of two perfect cubes is 189. If the cube root of the smaller of the two numbers is 3, find the cube root of the larger number.