Class 10th Maths CBSE Annual Exam 2026

Class 10 CBSE Mathematics Modal Test Paper 2025 with PDF Notes

Are you preparing for Class 10 CBSE Mathematics Board Exam 2025? Here we bring you a full-length Modal Test Paper along with detailed notes, solutions, and a free PDF download for practice.

Why Solve Modal Test Papers?

• Gives clear idea of exam pattern and marking scheme.
• Helps with speed, accuracy, and time management.
• Boosts practice and confidence before final exams.

Exam Pattern Overview (CBSE 2025)

• Total Marks: 80
• Time: 3 Hours
• Sections: A (1 mark), B (2 marks), C (3 marks), D (4 marks)

Section A – 1 Mark Questions

1. Find the roots of the equation: \(2x^2 - 7x + 3 = 0\).
2. Write the 12th term of the AP: 7, 10, 13, …
3. Find centroid coordinates of triangle (2,3), (4,5), (6,7).
4. Evaluate: \(\sin60^\circ \cos30^\circ + \cos60^\circ \sin30^\circ\).
5. State Euclid’s Division Lemma in your own words.

Section B – 2 Mark Questions

6. Sum of first 25 terms of AP: 5, 9, 13,…
7. Find HCF and LCM of 196 and 38220 using prime factorisation.
8. Probability of drawing a red card from a deck of 52 cards.
9. A card drawn at random. Probability of (i) face card (ii) non-face card.
10. Construct pair of tangents to a circle of radius 5 cm, inclined at 60°.

Section C – 3 Mark Questions

11. Solve \(x^2 - 4x - 21 = 0\) using quadratic formula.
12. ₹2000 invested at 10% per year. Find CI after 2 years.
13. Find mode of this distribution:

    Class Interval	0-10	10-20	20-30	30-40	40-50
    Frequency	5	10	12	8	5

14. If 7 times 7th term = 11 times 11th term in an AP, find 18th term.
15. Find ratio in which x-axis divides line from (2,3) to (4,5).

Section D – 4 Mark Questions

16. A train covers 360 km. Speed increased by 5 km/hr reduces time by 48 min. Find original speed.
17. Daily wages distribution. Prepare CF table and draw ‘Less than’ Ogive:

    Wages	0-100	100-200	200-300	300-400	400-500
    Workers	12	14	8	6	10

18. A boat speed in still water is 18 km/h. Takes 1 hr more upstream for 24 km than downstream. Find stream speed.
19. Marks distribution (Step Deviation Method – find mean):

    Marks	0-10	10-20	20-30	30-40	40-50
    Students	5	10	15	20	10

20. Plot graphs of: x+y=5, x–y=3. Find intersection point.

Download Full PDF Notes & Solutions

For complete solutions, formulas, and extra practice sets, download the PDF below:

📘 Download PDF Notes

Tips for Students

• Use first 15 minutes for reading the paper carefully.
• Attempt known questions first.
• Review final answers in last 10 minutes.
• Revise key formulas daily.

© 2025 Mains Education | Class 10 CBSE Modal Test Paper with PDF Notes