Download CBSE Class 10 Mathematics Sample Papers
Explore authentic exam practice materials through the CBSE Class 10 Mathematics Sample Paper Set 13. Tailored for Class 10 learners, utilizing these Mathematics sample papers ensures thorough preparation and strengthens time management skills before final CBSE evaluations.
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Access the complete sample paper PDF for Class 10 Mathematics below. Regular practice with these targeted mock exams builds familiarity with expected question patterns and chapter weightage to help secure higher marks.
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) 32/3 cm
(d) 31/3 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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Access structured sample papers for Class 10 Mathematics. Solving the CBSE Class 10 Mathematics Sample Paper Set 13 provided above helps students understand official exam blueprints and tackle anticipated question formats with confidence.
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Practicing this Mathematics paper helps in time management and identifying important topics. For Class 10, solving mock papers is the best way to gain confidence and reduce exam-day anxiety.
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