ICSE 2019 Mathematics Question Paper for Class 10

About this paper

This is the ICSE Class 10 Mathematics paper, code T19 511, for the 2019 board examination. Two and a half hours are allowed for writing after 15 minutes of reading, and mathematical tables are provided. Omission of essential working loses marks. Section A is 40 marks, with Questions 1 to 4 compulsory, and Section B is 40 marks, with any four of Questions 5 to 11 to be attempted. The paper includes an inequation on the whole numbers, shares and dividend, a frequency distribution, the factor theorem, a trigonometric identity, an arithmetic progression, mensuration of a sphere and a cylinder, constructions of tangents, probability, a recurring deposit, reflection, similarity, a geometric progression and an ogive. This copy has the questions only.

Exam

ICSE Class 10

Subject

Maths

Year

2019

Paper code

T19 511

Maximum marks

80

Time allowed

2 hours 30 min + 15 min reading

Questions

11

Pages

8

Answers included

No, questions only

Paper pattern

• Section A

  40 marks

  Questions 1–4, all compulsory, ten marks each

• Section B

  40 marks

  Questions 5–11, ten marks each; any four to be attempted

Topics covered

• Linear inequations
• Shares and dividends
• Statistics
• Factor theorem
• Trigonometric identities
• Arithmetic and geometric progressions
• Mensuration
• Constructions
• Probability
• Banking and recurring deposits
• Coordinate geometry and reflection
• Heights and distances

Questions from this paper

1. Solve 11x − 4 < 15x + 4 ≤ 13x + 14, x ∈ W, and represent the solution on a real number line.
2. In an arithmetic progression the fourth and sixth terms are 8 and 14 respectively. Find the first term, the common difference and the sum of the first 20 terms.
3. A solid metallic sphere of radius 6 cm is melted and made into a solid cylinder of height 32 cm. Find the radius of the cylinder and its curved surface area.
4. There are 25 discs numbered 1 to 25. A disc is drawn at random. Find the probability that the number on the disc is odd, and the probability that it is divisible by both 2 and 3.
5. The first and last terms of a geometric progression are 3 and 96 respectively. If the common ratio is 2, find the number of terms and their sum.
6. The product of two consecutive natural numbers which are multiples of 3 is equal to 810. Find the two numbers.