8th CBSE Maths Sample Questions

1. Number by which 19602 be divided, So that the quotient is a perfect square is

(a) 2 (b) 9 (c) 3 (d) 4

Sol: (a)

2. If x + 1/x = 4, then the value of x²+1/x ²  is

(a) 12 (b) 16   (c) 14 (d) 20

Sol: (c)

3. The sum of the powers of the prime factors in 108  192 is

(a) 5 (b) 7 (c) 8 (d) 12

Sol: (d)

4. The factors of x⁴ + y⁴ +x²y² are

(a) (x² + y²)(x² + y² - xy) (b) (x² + y²)(x² - y²)

(c) (x² + y² + xy)(x² + y² -xy) (d) Factorization is not possible

Sol: (c)

5. A square of maximum size is inscribed in a circle with centre O and radius r. Find area excluding area of square?

(a) r² (p - 2)          (b) 2r² (2 - p )  (c) p (r² - 2)     (d) 8r² – 8r

Sol: (a)

6. A is the father of C and D is the son of B.E is the brother of A. If C is the sister of D, how is B related to E?

(a) Daughter (b) Brother-in-law (c) Husband (d) Sister-in-law

Sol:(d)

7. The perimeter of a square is twice the perimeter of a circle and their areas are AS and AC respectively then

(a) AS> AC (b) AC > AS   (c) AS = 2AC (d) AS = AC

Sol: (a)

8. Two poles, 15 m and 30m height, stand upright in a playground. If their feet be 36m  apart. The distance between their tops is :

(a) 21 m (b) 39 m   (c) 41 m (d) 36m

Sol: (b)

9. A  44m x 11m sheet is rolled along length to form a cylinder.  Find the volume of the cylinder

(a) 773 m³   (b) 773.5 m³   (c) 775.3 m³   (d) 753.5 m³  

Sol: (b)

10.If in a quadrilateral, diagonals are equal, then it cannot be a :

(A) Square (B) Parallelogram (C) Rhombus (D) Rectangle

Sol: (c)