CBSE 2025 Mathematics Standard Question Paper for Class 10

About this paper

This is the CBSE Class 10 Mathematics (Standard) board paper from 2025, Q.P. code 30/5/3 (Series EH5GF, Set 3). It carries 80 marks over three hours, plus 15 minutes to read, and has 38 compulsory questions in five sections. Section A is twenty one-mark items, eighteen multiple-choice and two assertion-reason. Sections B, C and D are very short, short and long answers of 2, 3 and 5 marks. Section E has three case studies of 4 marks each, including boarding stairs and rows of small equilateral triangles. Calculators are not allowed, and π is 22/7 where it is not given. This copy has questions only.

Exam

CBSE Class 10

Subject

Mathematics

Year

2025

Paper code

30/5/3

Maximum marks

80

Time allowed

3 hours

Questions

38

Pages

24

Answers included

No, questions only

Paper pattern

• Section A

  20 marks

  Questions 1–18 are multiple-choice and questions 19–20 are assertion-reason, 1 mark each

• Section B

  10 marks

  Questions 21–25, very short answers, 2 marks each; internal choice in two

• Section C

  18 marks

  Questions 26–31, short answers, 3 marks each; internal choice in two

• Section D

  20 marks

  Questions 32–35, long answers, 5 marks each; internal choice in two

• Section E

  12 marks

  Questions 36–38, case studies, 4 marks each, with an internal choice in the 2-mark part

Topics covered

• Circles and tangents
• Trigonometry
• Heights and distances
• Probability
• Quadratic equations and polynomials
• Coordinate geometry
• Real numbers

Questions from this paper

1. Which statement is false: infinitely many tangents to a circle, infinitely many tangents from an outside point, infinitely many secants from an outside point, or the angle between a tangent and a diameter at the point of contact is 90°?
2. PA and PB are tangents to a circle with centre O, and the figure shows 210°. The measure of angle APB is 210°, 150°, 105° or 30°.
3. An observer 1.8 m tall stands 38.2 m from a chimney. The angle of elevation of the top from the observer’s eyes is 45°. Find the height of the chimney.
4. The probability of getting a composite number greater than 3 on throwing a die is asked, and a later question removes all aces and kings from a pack of 52 cards.
5. Prove that √3 is an irrational number, and find the zeroes of p(x) = 6x² − 5x − 1.
6. In an equilateral triangle of side 10 cm, equilateral triangles of side 1 cm are arranged in rows of 1, 3, 5 and so on. How many triangles are in the bottom row?