ICSE Class 10 2013 Question Paper Mathematics 2. Students can download the last year question papers using the link below. Free download of examination question papers with solutions. Last 10 year question papers should be practised to get better marks in examinations.
MATHEMATICS
(Two hours and a half)
Attempt all questions from Section A and any four questions from Section B. All working, including rough work, must be clearly shown and must be done on the same sheet as the rest of the answer.
Section A
Question 1
(a) Find the value of a and b if x –1 and x– 2 are factors of x3 –ax –b .
(b) On a certain sum of money, the difference between the compound interest for a year, payable half yearly, and the simple interest for a year is Rs 16. Find the sum lent out, if the rate of interest in both cases is 8 %
Question 2
A point P(a, b) is reflected in the Y-axis to P1 (-3, 1)
Write down the values of a and b.
P11 is the image of P when reflected in the X axis.
Write down the coordinates of P11.
P111 is the image of P when reflected in the line X = 5.
Write down the coordinates of P111.
Question 3
(a) Mr. Jacob has a two years recurring deposit account in State Bank of India and deposits Rs.1500 per month. If he receives Rs.37,875 at the time of maturity, find the rate of interest.
(b) Calculate the arithmetic mean, correct to one decimal place, for the following frequency distribution of marks obtained in a Geometry test.
Marks 0-10 10-20 20-30 30-40 40-50
No of students 7 13 15 12 3
SECTION B
Question 4
A man bought 200 shares each of face value Rs.10 at Rs. 12 per share. At the end of the year, the company from which he bought the shares declares a dividend of 15%. Calculate:
(i) the amount of money invested by the man
(ii) the amount of dividend he received
(iii) the percentage return on his outlay.
Question 5
(a) Solve the following quadratic equation for x and give your answer correct to three significant figures:
2x2-4x-3 = 0
(b) An integer is chosen at random from 1 to 50. Find the probability that the number is:
(i) divisible by 5
(ii) a perfect cube
(iii) a prime number.
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