Class 8 Maths Chapter 6 and 7 Test Paper Set-1 Pdf Download CBSE

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Chapter 6 & 7 Test Paper (01)

Class 8 Maths Chapter 6 & 7 Squares and Square Roots Cubes and Cube Roots Test Paper Set-1 Text Form:-

PGRMS Education (Worksheet)

SAMPLE PAPER (1)
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. Which of the following is the square of an odd number?

(a) 256 (b) 361

2. A perfect square can never have the following digit at ones place.

(a) 1 (b) 6

3. Which of the following will have 4 at the units place?

(a) 14² (b) 62² (c) 27² (d) 35²

4. A square board has an area of 144 square units. How long is each side of the board?

(a) 11 units (b) 12 units

5. The next two numbers in the number pattern 1, 4, 9, 16, 25 … are

(a)35, 48 (b) 36, 49

Section – B

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

(i) 81 (ii) 272

7. Which of the following numbers are not perfect cubes?

(i) 216 (ii) 128

8. The squares of which of the following would be odd numbers?

(i) 431 (ii) 2826

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

(i) 81 (ii) 128

Section – C

10. Find the square of the following numbers.

(i) 32

(ii) 35

(iii) 86

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

(i) 729

(ii) 400

(iii) 1764

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

(i) 252

(ii) 180

(iii) 1008

Section – D

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

(i) 402 (ii) 1989

(b) Find the least square number which is exactly divisible by 3, 4, 5, 6 and 8.

14. (a) A gardener has 1000 plants. He wants to plant these in such a way that the number of rows and the number of columns remain same. Find the minimum number of plants he needs more for this.

(b) There are 500 children in a school. For a P.T. drill they have to stand in such a manner that the number of rows is equal to number of columns. How many children would be left out in this arrangement.

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