CBSE 2026 Mathematics Standard Question Paper for Class 10

About this paper

This is the CBSE Class 10 Mathematics (Standard) board paper from 2026, Q.P. code 30/4/1 (Series 4MNKL, Set 1). It carries 80 marks over three hours, plus 15 minutes to read the paper, 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 a carom board. Calculators are not allowed, and π is to be taken as 22/7 where it is not given. This copy has questions only.

Exam

CBSE Class 10

Subject

Mathematics

Year

2026

Paper code

30/4/1

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

• Real numbers and quadratic equations
• Arithmetic progressions
• Triangles and circles
• Trigonometry
• Probability
• Coordinate geometry
• Surface areas and volumes

Questions from this paper

1. If the quadratic equation 9x² + 8kx + 16 = 0 has real and equal roots, then the value of k is 3, −3, −4 or 3/2.
2. Verify that the roots of (p − q)x² + (q − r)x + (r − p) = 0 are equal when q + r = 2p.
3. D is a point on side BC of triangle ABC such that angle CAB equals angle CDA. Show that CA² = CB × CD.
4. A bag contains 30 balls, of which m are blue. Find the probability of drawing a ball that is not blue, then find m if adding 6 blue balls multiplies that probability by 4/5.
5. Find the greatest number less than 10,000 which is exactly divisible by 48, 60 and 65.
6. A carom board is a square of side 65 cm with circular pockets in each corner. Ansh strikes a disc kept at position P.