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ICSE Guess > ICSE Papers > Question Bank > Class X > 2008 >Mathematics

Answers to this Paper must be written on the paper provided separately.
You will not be allowed to write during the first 15 minutes.
This time is to be spent in reading the Question Paper.
The time given at the head of this Paper is the time allowed for writing the answers.

Section I is compulsory. Attempt any four questions from Section II
The intended marks for questions or the parts of questions given in brackets [ ].

SECTION I (40 Marks)
Attempt all questions from this Section

Question 1

(a) The simple interest on a sum of money for 2 years at 4% per annum is Rs.340. Find

1. the sum of money and
2. the compound interest on this sum for one year payable half yearly at the same rate. [3]

(b)
(c) If (x − 2) is a factor of 2 x3− x2− px−2

(i) find the value of p.

(ii) with the value of p, factorize the above expression completely.[4]

Question 2

(a) Solve the given inequation and graph the solution on the number line.

(b) In the given figure, find the area of the unshaded portion within the rectangle. [3]

(c) A shopkeeper buys a camera at a discount of 20% from the wholesaler, the printed price of the camera being Rs.1600 and the rate of sales tax is 6%. The shopkeeper sells it to the buyer at the printed price and charges tax at the same rate. Find:

(i) The price at which the camera can be bought.

(ii) The VAT (Value Added Tax) paid by the shopkeeper.[4]