ICSE 2017 Mathematics Solved Paper for Class 10

About this paper

This is the ICSE Class 10 Mathematics paper from the 2017 board examination, with answers written under the questions. The printed paper is divided into Section A and Section B of 40 marks each. All of Questions 1 to 4 are compulsory, and any four of Questions 5 to 11 are to be attempted. The work covers mean proportion, a quadratic equation, chords of a circle, trigonometry, matrices, compound interest, sales tax, the factor theorem, mensuration, shares and dividend, probability, constructions, a savings-bank account, statistics, similarity and heights and distances. Several parts are left without a solution, with a printed note that the answer is not given because of a change in the syllabus. The opening instructions giving the time limit are not on this copy.

Exam

ICSE Class 10

Subject

Maths

Year

2017

Maximum marks

80

Questions

11

Pages

16

Answers included

Yes

Paper pattern

• Section A

  40 marks

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

• Section B

  40 marks

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

Topics covered

• Ratio and proportion
• Quadratic equations
• Circles
• Trigonometry
• Matrices
• Compound interest
• Sales tax
• Factor theorem
• Shares and dividends
• Probability
• Statistics
• Heights and distances

Questions from this paper

1. If b is the mean proportional between a and c, show that (a⁴ + a²b² + b⁴)/(b⁴ + b²c² + c⁴) = a²/c².
2. Solve the equation 4x² − 5x − 3 = 0 and give your answer correct to two decimal places.
3. AB and CD are two parallel chords of a circle such that AB = 24 cm and CD = 10 cm. If the radius of the circle is 13 cm, find the distance between the two chords.
4. What must be subtracted from 16x³ − 8x² + 4x + 7 so that the resulting expression has 2x + 1 as a factor?
5. How much should a man invest in ₹50 shares selling at ₹60 to obtain an income of ₹450, if the rate of dividend declared is 10%? Also find his yield percent, to the nearest whole number.
6. A(−1, 3), B(4, 2) and C(3, −2) are the vertices of a triangle. Find the coordinates of the centroid G, and the equation of the line through G parallel to AC.