Read and download the CBSE Class 10 Mathematics Sample Paper Set 19, 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.
Practice Model Papers for Class 10 Mathematics
Our Class 10 Mathematics model papers are important for understanding the weightage of different chapters and the difficulty level of expected questions. By solving these guess papers Class 10 students can identify weak areas and improve time management. We also suggest referring to our Class 10 Mathematics Question Papers of previous years to further strengthen your exam preparation.
Class 10 Mathematics Model Paper PDF Download
SECTION – A
1. The vertices of a parallelogram in order are A(1, 2), B(4, y), C(x, 6) and D(3, 5). Then (x, y) is:
(a) (6, 3)
(b) (3, 6)
(c) (5, 6)
(d) (1, 4)
Answer: A
2. The ratio of LCM and HCF of the least composite and the least prime numbers is:
(a) 1: 2
(b) 2: 1
(c) 1: 1
(d) 1: 3 1
Answer: B
3. The value of k for which the lines 5x + 7y = 3 and 15x + 21y = k coincide is:
(a) 9
(b) 5
(c) 7
(d) 18
Answer: A
4. Write a quadratic polynomial whose sum of zeroes is -1/4 and product of zeroes is 1/4 .
(a) 4x2 + x + 1
(b) x2 + 4x – 1
(c) 2x2 + 3x – 1
(d) x2 – 2x + 1
Answer: A
5. ΔABC~ΔPQR. If AM and PN are altitudes of ΔABC and ΔPQR respectively and AB2: PQ2 = 4: 9, then AM: PN =
(a) 16: 81
(b) 4: 9
(c) 3: 2
(d) 2: 3
Answer: D
6. In ΔABC right angled at B, if tanA = √3 , then then cosA cosC – sinAsinC =
(a) –1
(b) 0
(c) 1
(d) √3 / 2
Answer: B
7. If 2sin2 β – cos2 β = 2, then β is:
(a) 0°
(b) 90°
(c) 45°
(d) 30° 1
Answer: B
8. If LCM(x, 18) = 36 and HCF(x, 18) = 2, then x is:
(a) 2
(b) 3
(c) 4
(d) 5 1
Answer: C
9. ABCD is a trapezium with AD ∥ BC and AD = 4cm. If the diagonals AC and BD intersect each other at O such that AO/OC = DO/OB =1/2, then BC =
(a) 6cm
(b) 7cm
(c) 8cm
(d) 9cm
Answer: C
10. In the figure, if DE || BC, AD = 3 cm, BD = 4 cm and BC = 14 cm, then DE equals : 
(a) 7 cm
(b) 6 cm
(c) 4 cm
(d) 3 cm
Answer: B
11. In the given figure, PA and PB are tangents to the circle with centre O. If ∠APB = 60°, then ∠OAB is 
(a) 30°
(b) 60°
(c) 90°
(d) 15°
Answer: A
12. If the difference of Mode and Median of a data is 24, then the difference of median and mean is
(a) 8
(b) 12
(c) 24
(d) 36
Answer: B
13. A horse is tied to a pole with 28 m long rope. The perimeter of the field where the horse can graze is (Take π = 22/7)
(a) 60 cm
(b) 85 cm
(c) 124 cm
(d) 176 cm
Answer: D
14. Two dice are thrown at the same time. The probability of getting not doublet is
(a) 1/3
(b) 1/6
(c) 1/5
(d) 5/6
Answer: D
15. For the following distribution: 
the sum of lower limits of the median class and modal class is
(a) 15
(b) 25
(c) 30
(d) 35
Answer: B
16. If 5 tan θ = 4, then the value of 5sinθ - 3 cosθ/ 5sinθ + 2cosθ
(a) 1/6
(b) 1/7
(c) 1/4
(d) 1/5
Answer: A
17. The ratio of the volumes of two spheres is 8 : 27. The ratio between their surface areas is
(a) 2 : 3
(b) 4 : 27
(c) 8 : 9
(d) 4 : 9
Answer: D
18. The area of the circle that can be inscribed in a square of 6cm is
(a) 36π cm2
(b) 18π cm2
(c) 12 π cm2
(d) 9π cm2
Answer: D
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): The point (–1, 6) divides the line segment joining the points (–3, 10) and (6, –8) in the ratio 2 : 7 internally.
Reason (R): Given three points, i.e. A, B, C form an equilateral triangle, then AB = BC = AC.
(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: B
20. Assertion (A): The number 6n, n being a natural number, ends with the digit 5.
Reason (R): The number 9n cannot end with digit 0 for any natural number n.
(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: D
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How to download CBSE Class 10 Mathematics Sample Paper Set 19 in PDF?
Easily download the CBSE Class 10 Mathematics Sample Paper Set 19 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 19
- Fresh Practice Material: Access unique questions for Mathematics crafted beyond standard previous year papers.
- Blueprint Understanding: Gain a clear view of chapter weightage rules and question trends across Class 10.
- Self-Assessment: Evaluate scores per set to pinpoint weak zones in Class 10 Mathematics that require focused revision.
- Pacing & Precision: Working through Class 10 Mathematics objective and descriptive formats enhances response speed and test accuracy.
Maximizing Results After Solving CBSE Class 10 Mathematics Sample Paper Set 19
- 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 19 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 19 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 19 on your mobile device.