ICSE 2018 Mathematics Solved Paper for Class 10

About this paper

This is the ICSE Class 10 Mathematics paper from the 2018 board examination, with a worked answer after each part. Two and a half hours are allowed for writing after 15 minutes of reading, and mathematical tables are provided. Section A is 40 marks and Questions 1 to 4 are compulsory. Section B is 40 marks, and any four of Questions 5 to 11 are to be attempted. All working must be shown. The questions include matrices, a recurring deposit, probability, volume of a cylinder, an arithmetic progression, a cyclic quadrilateral, the factor theorem, a trigonometric identity, a histogram, inequations, straight lines, a quadratic equation, shares, similarity, a scale drawing and an ogive. No board paper code is printed on this copy.

Exam

ICSE Class 10

Subject

Maths

Year

2018

Maximum marks

80

Time allowed

2 hours 30 min + 15 min reading

Questions

11

Pages

19

Answers included

Yes

Paper pattern

• Section A

  40 marks

  Questions 1–4, all compulsory, ten marks each, with worked answers

• Section B

  40 marks

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

Topics covered

• Matrices
• Banking and recurring deposits
• Probability
• Mensuration
• Arithmetic and geometric progressions
• Circles
• Factor and remainder theorem
• Trigonometry
• Statistics
• Linear inequations
• Shares and dividends
• Similarity and constructions

Questions from this paper

1. Cards bearing the numbers 2, 4, 6, 8, 10, 12, 14, 16, 18 and 20 are kept in a bag. A card is drawn at random. Find the probability of getting a prime number, a number divisible by 4, a multiple of 6, and an odd number.
2. The circumference of the base of a cylindrical vessel is 132 cm and its height is 25 cm. Find the radius and the volume of the cylinder. Take π = 22/7.
3. If (k − 3), (2k + 1) and (4k + 3) are three consecutive terms of an arithmetic progression, find the value of k.
4. Solve x² + 7x = 7 and give your answer correct to two decimal places.
5. The 4th term of a geometric progression is 16 and the 7th term is 128. Find the first term and the common ratio.
6. ₹7,500 were divided equally among a certain number of children. Had there been 20 fewer children, each would have received ₹100 more. Find the original number of children.