Class 8 Maths Chapter 6 and 7 Test Paper Set-4 Pdf Download CBSE

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Chapter 6 & 7 Test Paper (04)

Class 8 Maths Chapter 6 & 7 Squares and Square Roots Cubes and Cube Roots Test Paper Set-4 Text

PGRMS Education (Worksheet)

SAMPLE PAPER (4)
CLASS: 8 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. Which of the following is not a perfect square?

(a) 361 (b) 1156

2. A number ending in 9 will have the units place of its square as

(a) 3 (b) 9

3. The one’s digit of the cube of 23 is

(a) 6 (b) 7

4. The hypotenuse of a right triangle with its legs of lengths 3x and 4x is

(a) 5x (b) 7x

5. Which of the following numbers is not a perfect cube?

(a) 216 (b) 567

Section – B

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

(a) 52698 (b) 99880

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

(a) 72 (b) 675

8. How many numbers lie between squares of the following numbers?

(a) 12 and 13 (b) 25 and 26

9. State true or false.

(i) If square of a number ends with 5, then its cube ends with 25.

(ii) There is no perfect cube which ends with 8.

Section – C

10. Using prime factorisation, find the cube roots of

(a)512

(b) 2197

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

(i) 1764

(ii) 9604

(iii) 8100

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) 2645

(ii) 2800

(iii) 1620

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) 252 (ii) 1825

(b) Find the smallest square number that is divisible by each of the numbers 4, 9 and 10.

14. (a) Rahul walks 12m north from his house and turns west to walk 35m to reach his friend’s house. While returning, he walks diagonally from his friend’s house to reach back to his house. What distance did he walk while returning?

(b) Three numbers are in the ratio 2:3:4. The sum of their cubes is

0.334125. Find the numbers.