CBSE Class 10 Mathematics Sample Paper Set M

SECTION- A

1 n² -1 is divisible by8 if n is
(a) An integer
(b) a natural number
(c) an odd number
(d) an even number

2 If Sin²A = 2SinA, then A= ... º:
(a) 0
(b) 30
(c) 45
(d) 60 

3 The product of two irrational number is
(a) Always irrational
(b) Always rational
(c) rational or irrational
(d) one

4 The sum and product of zeroes of polynomial 9x² -5 respectively are
(a) 0, -9/5
(b) 0, 9/5
(c) 0, -5/9

5 Pair of linear equation x =0 and y =-6 has
(a) Unique solution
(b) no solution
(c) infinitely many solution
(d) only solution (0,0)

6 If the equation x² –mx +1 = 0does not possess real roots, then
(a) m>2
(b) m< -2
(c) -2<m<2
(d) -3<m<3

7 The distance of the point P(3, -4) from the origin is
(a) 7 units
(b) 5 units
(c) 4 units
(d) 3 units

8 The probability that a number selected at random from the numbers 1, 2, 3, ......, 15 is a multiple of 3 is
(a) 2/15
(b) 1/5
(c) 1/15
(d) 1/3

9 If M is the mid-point of PQ, if P is ( 4 ,x) M is ( y ,- 1) and Q is ( - 2 ,4) then x and y respectively are
(a) -6 and 1
(b) -6 and 2
(c) 6 and -1
(d) 6 and -2

10 If sin α = 1/2 and cosβ = 1/2 then the value of α+ β is
(a) 0°
(b) 30°
(c) 60°
(d) 90°

11 If x = rsinA and y = rcosA then x² + y² is
(a) r
(b) r²
(c) 1/r
(d) 1

12 The class mark of the classes 120 – 150 is
(a) 120
(b) 130
(c) 135
(d) 150

13 In fig. if TP and TQ are two tangents to a circle with centre O then ∠𝑃𝑇𝑄 is equal to 

(a) 50⁰
(b) 60⁰
(c) 70⁰
(d) 800 

14 Which of the following are not always similar:
(a) two circles
(b) two squares
(c) two equilateral triangles
(d) two rectangles

15 If the area of a circle is 154cm² then perimeter is
(a) 11cm
(b) 22cm
(c) 44cm
(d) 55cm

16 Which is equivalent to π
(a) Circumference /radius
(b) Circumference /diameter
(c) Circumference X diameter
(d) Circumference X radius

17 The radius of a sphere (in cm) whose volume is 12π cm², is
(a) 3 cm
(b) 3√3cm
(c) 3^2/3 cm
(d) 3^1/3 cm

18 The mean of the following frequency distributions 5. Then the value of p is:- 

(a) 4
(b) 6
(c) 7
(d) none of these

19 Assertion: The distance point P(2,3) from the x-axis is 3.
Reason: The distance from x-axis is equal to its ordinate
(a) Both assertion (A)and reason (R) are true and reason (R) is the correct explanation of assertion (A)
(b) Both assertion (A)and reason (R) are true and reason (R) is not the correct explanation of assertion (A)
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.

20 The HCF of two numbers is 5 and theirproduct is 150, then their LCM is 30 Reason : For any two positive integers a and b, HCF(a,b) = (LCM (a,b)= a X b
(a) Both assertion (A)and reason (R) are true and reason (R) is the correct explanation of assertion (A)
(b) Both assertion (A)and reason (R) are true and reason (R) is not the correct explanation of assertion (A)
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.

SECTION- B

21 Solve 2x + y = 5 and 3x + 2y = 8 by method of Elimination by equating the coefficient 

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