2008 ICSE Mathematics Question paper
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
(a) The simple interest on a sum of money for 2 years at 4% per annum is Rs.340. Find
the sum of money and
the compound interest on this sum for one year payable half yearly at the same rate.  (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.
(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. 
(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.
(a) David opened a Recurring Deposit Account in a bank and deposited Rs.300 per month for two years. If he received Rs.7725 at the time of maturity, find the rate of interest per annum.
(c) Use a graph paper for this question (Take 1 cm = 1 unit on both the axes). Plot the points A (-2, 0), B (4, 0), C (1, 4) and D (-2, 4).
(i) Draw the line of symmetry of ?ABC. Name it L1.
(ii) Point D is reflected about the Line L1 to get the image E. Write the coordinates of E.
(iii) Name the, figure ABED.
(iv) Draw all the lines of symmetry of the figure ABED.
(a) Without using tables, evaluate:
In the above figure, AB is parallel to Find:
(c) Mr. Dhoni has an account in the Union Bank of India. The following entries are from his pass book:
Jan 3, 07
Calculate the interest from January 2007 to June 2007 at the rate of 4% per annum.
SECTION B (40 Marks)
Attempt any four questions from this Section.
(a) A function in x is defined , find:
(ii) f (x - 1)
(iii ) x if f(x)=1.
(b) Prove the identity: 
(c) If A= (-4, 3) and B = (8, -6)
(i) find the length of AB
(ii) In what ratio is the line joining AB, divided by the x-axis?
(a) Solve the following quadratic equation for x and give your answer correct to two decimal places: 5x (x + 2) = 3
(b) In the figure given below are tangents to the circle with centre O. Calculate the values of:
(c) A company with 4000 shares of nominal value of Rs. l10 each declares an annual dividend of I5%. Calculate:
(i) The total amount of dividend paid by the company.
(ii) The annual income of Shah Rukh who holds 88 shares in the company.
(iii) If he received only l0% on his investment, find the price Shah Rukh paid for each share.
(a) The income of Mr. Bachhan was as follows:
Basic Salary : Rs.20,000 Per month
Dearness Allowance : Rs.12,000 per month
Interest from Bank : Rs.16,000 for the whole year.
. Contribution towards Provident Fund l5% of Basic salary
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