ICSE 2015 Mathematics Question Paper for Class 10

About this paper

This is the ICSE Class 10 Mathematics paper, code T15 511, for the 2015 board examination. Two and a half hours are allowed for writing after 15 minutes of reading, and mathematical tables are provided. All working must be shown. Section A is 40 marks: Questions 1 to 4 are compulsory. Section B is 40 marks, and any four questions from Questions 5 to 11 are to be attempted. The paper includes sales tax and VAT, a linear inequation, trigonometry without tables, matrices, population growth, coordinate geometry, circles and a tangent, a recurring-deposit account, a quadratic equation, constructions, reflection, banking, mensuration, probability, shares and dividends, and an ogive. This copy is questions only.

Exam

ICSE Class 10

Subject

Maths

Year

2015

Paper code

T15 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

• Sales tax and VAT
• Linear inequations
• Trigonometry
• Matrices
• Banking and recurring deposits
• Quadratic equations
• Coordinate geometry and reflection
• Circles and tangents
• Statistics
• Mensuration
• Probability
• Shares and dividends

Questions from this paper

1. A shopkeeper bought an article for ₹3,450. He marks the price 16% above the cost price. The rate of sales tax is 10%. Find the marked price of the article and the price paid by a customer who buys it.
2. The present population of a town is 2,00,000. It increases by 10% in the first year and by 15% in the second year. Find the population at the end of the two years.
3. Find the value of k for which x = 3 is a solution of the quadratic equation (k + 2)x² − kx + 6 = 0. Hence find the other root.
4. Two solid spheres of radii 2 cm and 4 cm are melted and recast into a cone of height 8 cm. Find the radius of the cone so formed.
5. A bag contains 5 white balls, 6 red balls and 9 green balls. A ball is drawn at random. Find the probability that the ball drawn is green.
6. A wholesaler buys a TV from the manufacturer for ₹25,000. He marks the price 20% above his cost price and sells it to a retailer at a 10% discount on the marked price. If the rate of VAT is 8%, find the marked price.