Read and download the CBSE Class 10 Mathematics Sample Paper Set 13, designed by expert teachers according to the latest 2026-27 curriculum and examination pattern issued by CBSE, NCERT, and KVS. These Class 10 Mathematics sample papers include detailed step-by-step solutions, helping students to practice and evaluate their performance against the most recent marking schemes.
CBSE Class 10 Mathematics Sample Question Papers
Try these Class 10 Mathematics model papers to master exam difficulty levels and plan your time wisely. Solving these papers helps Class 10 learners track their progress easily. Don't forget to practice our previous years' Class 10 Mathematics Question Papers for complete exam readiness.
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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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How to download CBSE Class 10 Mathematics Sample Paper Set 13 in PDF?
Easily download the CBSE Class 10 Mathematics Sample Paper Set 13 online to strengthen your final preparations. Mastering the official paper structure is vital for Class 10 students seeking higher marks. We recommend solving these updated Mathematics sample papers to practice anticipated question formats. Download the PDF format for flexible offline drills, ensuring you practice under true test conditions.
Key Advantages of Solving CBSE Class 10 Mathematics Sample Paper Set 13
- Original Question Sets: Provides diverse practice questions for Mathematics to expand your problem-solving range.
- Exam Structure Mastery: Understand exact mark allocations and question architectures relevant to Class 10 evaluations.
- Gap Analysis: Check your accuracy levels to identify challenging Class 10 Mathematics concepts requiring deeper review.
- Exam Completion Skills: Routine problem sets for Class 10 Mathematics train you to manage test duration efficiently without stress.
What should you do after solving CBSE Class 10 Mathematics Sample Paper Set 13?
- Verify Answers: Compare your responses against professional teacher solutions provided in the Mathematics Sample Paper PDF.
- Error Analysis: Class 10 learners must review incorrect answers carefully to understand underlying mistakes.
- Concept Reinforcement: Review difficult topics using the official NCERT book for Class 10 Mathematics before re-attempting problems.
- Consistent Drills: Complete multiple Mathematics sample sets online to solidify confidence ahead of CBSE examinations.
FAQs
You can download the complete PDF for CBSE Class 10 Mathematics Sample Paper Set 13 for free from StudiesToday.com. Our resources for Class 10 Mathematics are updated for the latest academic session and follow the official exam pattern.
Yes, CBSE Class 10 Mathematics Sample Paper Set 13 comes with detailed, teacher-verified solutions. We have provided step-by-step answers for Mathematics to help students of Class 10 understand correct methodology and marking scheme.
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.
Yes, all our study materials for Class 10 Mathematics are provided in a mobile-friendly PDF format. You can easily download CBSE Class 10 Mathematics Sample Paper Set 13 on your mobile device.