ICSE 2014 Mathematics Question Paper for Class 10

About this paper

This is the ICSE Class 10 Mathematics paper from the 2014 board examination, with a worked solution printed under each question. 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 all four questions are compulsory. Section B is 40 marks, and any four of its seven questions are to be attempted. The questions move through compound interest, an inequation on the whole numbers, probability on a numbered die, trigonometry, the remainder and factor theorems, mensuration, statistics, circles, graphs, sales tax, shares, matrices, constructions and heights and distances. No separate paper code is printed on this copy. Essential working has to be shown, or marks are lost.

Exam

ICSE Class 10

Subject

Maths

Year

2014

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 solutions

• Section B

  40 marks

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

Topics covered

• Compound interest
• Linear inequations
• Probability
• Trigonometric identities
• Remainder and factor theorem
• Mensuration
• Statistics
• Circles
• Coordinate geometry
• Shares and dividends
• Matrices
• Constructions

Questions from this paper

1. Ranbir borrows ₹20,000 at 12% per annum compound interest. If he repays ₹8,400 at the end of the first year and ₹9,680 at the end of the second year, find the amount of loan outstanding at the beginning of the third year.
2. The numbers 6, 8, 10, 12, 13 and x are arranged in ascending order. If the mean of the observations is equal to the median, find the value of x.
3. Using the Remainder and Factor Theorems, factorise the polynomial x³ + 10x² − 37x + 26.
4. A two-digit positive number is such that the product of its digits is 6. If 9 is added to the number, the digits interchange their places. Find the number.
5. Prove the identity (sin θ + cos θ)(tan θ + cot θ) = sec θ + cosec θ.
6. A shopkeeper bought a washing machine at a discount of 20% from a wholesaler, the printed price being ₹18,000. He sells it to a consumer at a discount of 10% on the printed price. If the rate of sales tax is 8%, find the VAT paid by the shopkeeper and the total amount the consumer pays.