ICSE Class 10 Mathematics Question Paper 2024 with Solutions

About this paper

This is the ICSE Class 10 Mathematics paper for the 2024 board examination, code T24 511. It is marked out of 80, with two and a half hours to write the answers after 15 minutes for reading. Section A, worth 40 marks, is compulsory: Question 1 has fifteen one-mark multiple-choice items, and Questions 2 and 3 are longer questions on mensuration, progressions, trigonometry, circles and graphs. Section B is another 40 marks, and candidates answer any four of Questions 4 to 10. The school supplies mathematical tables and graph paper, and all working has to be shown. This copy is the question paper only, without solutions.

Exam

ICSE Class 10

Subject

Maths

Year

2024

Paper code

T24 511

Maximum marks

80

Time allowed

2½ hours + 15 min reading

Questions

10

Pages

12

Answers included

No, questions only

Paper pattern

• Section A

  40 marks

  Questions 1–3, all compulsory. Question 1 has 15 one-mark multiple-choice items; Questions 2 and 3 are structured questions

• Section B

  40 marks

  Questions 4–10; attempt any four

Topics covered

• GST
• Polynomials
• Quadratic equations
• Banking and recurring deposits
• Arithmetic and geometric progressions
• Shares and dividends
• Statistics, mean and ogives
• Coordinate geometry
• Circles and tangents
• Similarity of triangles
• Mensuration
• Heights and distances

Questions from this paper

1. What must be subtracted from the polynomial x³ + x² − 2x + 1 so that the result is exactly divisible by (x − 3)?
2. The median of 27, 31, 46, 52, x, x + 4, 71, 79, 85, 90, arranged in ascending order, is 64. Find x.
3. Suresh deposits ₹2000 per month in a recurring deposit account at 8% per annum. If the interest at maturity is ₹1040, find the time in years for which the account was held.
4. Solve 2x² − 10x + 5 = 0, giving the roots correct to three significant figures.
5. The angles of elevation of the top of a 100 m tree from two points A and B on opposite sides of the tree are 52° and 45°. Find the distance AB to the nearest metre.
6. Mr Gupta invested ₹33000 in ₹100 shares at a 10% premium. The company declares a 12% dividend. Find the number of shares he bought and his annual dividend.