ICSE Class 10 Mathematics Question Paper 2023 with Solutions

About this paper

This is the ICSE Class 10 Mathematics paper, code T23 511, for the 2023 board examination. It is marked out of 80 and allows two and a half hours for writing after 15 minutes of reading. Mathematical tables and graph paper are provided, and essential working must be shown. Section A is compulsory and worth 40 marks. It opens with 15 multiple-choice parts, then two longer questions on the factor theorem, a recurring deposit, circle angles, a quadratic equation, an identity and a reflection graph. Section B is worth 40 marks, and any four of Questions 4 to 10 are to be attempted. Later questions cover GST, similarity, a histogram, arithmetic progressions, probability, mensuration, constructions, heights and distances and an ogive. This copy is questions only.

Exam

ICSE Class 10

Subject

Maths

Year

2023

Paper code

T23 511

Maximum marks

80

Time allowed

2 hours 30 min + 15 min reading

Questions

10

Pages

11

Answers included

No, questions only

Paper pattern

• Section A

  40 marks

  Questions 1–3, all compulsory, including 15 one-mark multiple-choice parts

• Section B

  40 marks

  Questions 4–10, ten marks each; any four to be attempted

Topics covered

• Multiple-choice revision across the syllabus
• Factor theorem
• Banking and recurring deposits
• Circles and tangents
• Quadratic equations
• Trigonometric identities
• Coordinate geometry and reflection
• GST
• Statistics
• Arithmetic progressions
• Probability
• Heights and distances

Questions from this paper

1. Solve the quadratic equation x² + 4x − 8 = 0. Give your answer correct to one decimal place.
2. Salman deposits ₹1,000 every month in a recurring deposit account for 2 years. If he receives ₹26,000 on maturity, find the total interest he earns and the rate of interest.
3. A bag contains 25 cards, numbered 1 to 25. A card is drawn at random. Find the probability that the number is a multiple of 5, a perfect square, and a prime number.
4. A man covers 100 km at a uniform speed of x km/h. Had the speed been 5 km/h more, the journey would have taken 1 hour less. Find x.
5. Which term of the arithmetic progression 15, 30, 45, 60, … is 300? Hence find the sum of all the terms of the progression.
6. From the top of a tower 100 m high, the angles of depression of two ships A and B, on opposite sides of the tower, are 45° and 38°. Find the distance between the ships to the nearest metre.