Find the CBSE Class 10 Mathematics Sample Paper Set 20 right below. We offer standard Class 10 Mathematics sample papers packed with detailed solutions for the 2026-27 term, following rules set by CBSE, NCERT, and KVS. Practice these model tests to build confidence and understand fresh marking trends.
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Want to know which chapters carry high marks? Working through our Class 10 Mathematics model papers helps you learn chapter weightage and expected test difficulty. Solving these guess papers enables Class 10 students to find weak spots and practice better time management. We also recommend checking our previous years' Class 10 Mathematics Question Papers for extra practice.
Mathematics Sample Papers for Class 10 (2026-27)
SECTION – A
1. If the distance between the points (4,p) and (1,0) is 5, then value of p is
(a) 4 only
(b) ±4
(c) -4 only
(d) 0
Answer: B
2. If p and q are positive integers such that p = a3b2 and q = a2b, where ‘a’ and ‘b’ are prime numbers, then the LCM ( p, q) is
(a) ab
(b) a2b2
(c) a3b2
(d) a3b3
Answer: C
3. 108 can be expressed as a product of its primes as ……………..
(a) 23 x 32
(b) 23 x 33
(c) 22 x 32
(d) 22 x 33
Answer: D
4. Two dice are thrown at the same time and the product of numbers appearing on them is noted.
The probability that the product is a prime number is
(a) 1/3
(b) 1/6
(c) 1/5
(d) 5/6
Answer: B
5. The pair of equations x + 2y + 5 = 0 and –3x – 6y + 1 = 0 have
(a) a unique solution
(b) exactly two solutions
(c) Infinitely many solutions
(d) no solution
Answer: D
6. If p and q are the zeroes of the quadratic polynomial f(x) = 2x2 – 7x + 3, find the value of p + q – pq is
(a) 1
(b) 2
(c) 3
(d) None of these
Answer: B
7. If sin 2A = 1/2 tan² 45° where A is an acute angle, then the value of A is
(a) 60°
(b) 45°
(c) 30°
(d) 15°
Answer: D
8. In ΔABC right angled at B, if cotC = √3 , then then cos A sin C + sin A cos C =
(a) –1
(b) 0
(c) 1
(d) √3 / 2
Answer: C
9. If θ is an acute angle and tanθ + cotθ = 2, then the value of sin3 + cos3 is
(a) 1
(b) 1/2
(c) √2/2
(d) √2
Answer: C
10. A girl walks 200m towards East and then 150m towards North. The distance of the girl from the starting point is
(a) 350m
(b) 250m
(c) 300 m
(d) 325 m
Answer: B
11. In ABC, DE || AB, If CD = 3 cm, EC = 4 cm, BE = 6 cm, then DA is equal to
(a) 7.5 cm
(b) 3 cm
(c) 4.5 cm
(d) 6 cm
Answer: C
12. If angle between two radii of a circle is 130⁰, the angle between the tangents at the ends of the radii is :
(a) 90⁰
(b) 50⁰
(c) 70⁰
(d) 40⁰
Answer: B
13. The relationship between mean, median and mode for a moderately skewed distribution is
(a) mode = median – 2 mean
(b) mode = 3 median – 2 mean
(c) mode = 2 median – 3 mean
(d) mode = median – mean
Answer: B
14. For the following distribution: 
(a) 10 – 20
(b) 20 – 30
(c) 30 – 40
(d) 50 – 60
Answer: C
15. The area of a quadrant of a circle, whose circumference is 22 cm, is
(a) 11/8 cm2
(b) 77/8 cm2
(c) 77/2 cm2
(d) 77/4 cm2
Answer: B
16. If the quadratic equation x2 + 4x + k = 0 has real and equal roots, then
(a) k < 4
(b) k > 4
(c) k = 4
(d) k ≥ 4
Answer: C
17. Volumes of two spheres are in the ratio 64 : 27. The ratio of their surface areas is
(a) 3 : 4
(b) 4 : 3
(c) 9 : 16
(d) 16 : 9
Answer: D
18. The area of the square that can be inscribed in a circle of radius 8 cm is
(a) 256 cm²
(b) 128 cm²
(c) 64√2 cm²
(d) 64 cm²
Answer: B
DIRECTION: In the question number 19 and 20, a statement of Assertion (A) is followed by a statement of Reason (R).
Choose the correct option
19. Assertion (A): If HCF ( 90, 144) = 18, then LCM (90, 144) = 720
Reason (R): HCF (a, b) x 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 but 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.
Answer: A
20. Assertion (A): The point (0, 4) lies on y -axis.
Reason (R): The x co-ordinate on the point on y -axis is zero.
(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.
Answer: A
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Free study material for Mathematics
Exam Preparation Sample Paper for Class 10 Mathematics CBSE Class 10 Mathematics Sample Paper Set 20
Download Sample Paper: CBSE Class 10 Mathematics Sample Paper Set 20 (Class 10 Mathematics)
Easily download the CBSE Class 10 Mathematics Sample Paper Set 20 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 20
- Exclusive Questions: Explore novel practice items for Mathematics designed to challenge your understanding.
- Syllabus Mapping: Learn chapter priorities and question styles prevalent in current Class 10 guidelines.
- Performance Review: Analyze test results to isolate difficult areas in Class 10 Mathematics for remedial study.
- Speed Enhancement: Solving mixed format questions for Class 10 Mathematics guarantees improved speed and timely paper completion.
What should you do after solving CBSE Class 10 Mathematics Sample Paper Set 20?
- 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
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Yes, CBSE Class 10 Mathematics Sample Paper Set 20 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.
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