ICSE-X-Mathematics
Previous Year Paper year:2009
- #ICSE Board
Class X mathematics
(Two hours and a half)
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.
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. Omission of essential working will result in the loss of marks.
The intended marks for questions or parts of questions are given in brackets [ ].
Mathematical tables are provided.
- # [40]Section : A(Attempt all questions from this Section)
- #1
- #1-a [3]Mr. Dubey borrows Rs. 1,00,000 from State Bank of India at 11% per annum compound interest. He repays Rs. 41,000 at the end of the first year and Rs. 47,700 at the end of the second year. Find the amount outstanding at the beginning of the third year.Ans :
- #1-bA dice is thrown once. What is the probability that theAns :
- #1-b-inumber is even
- #1-b-ii [3]number is greater than 2?
- #1-cFind the HCF and LCM of the following polynomials:
``3x^3-27x^2+60x`` and ``x^2 -16``
Note- out of present syllabus
- #2
- #2-a [3]Find x and y if
$$ \begin{bmatrix} 2x & x \\ y & 3y \\\end{bmatrix} \cdot \begin{bmatrix} 3 \\ 2 \\\end{bmatrix} = \begin{bmatrix} 16 \\ 9 \\\end{bmatrix} $$Ans :
- #2-b [3]What least number must be added to each of the numbers 5, 11,19 and 37 so that they are in proportion?Ans :
- #2-c [4]Given that x + 2 and x + 3 are factors of
``2x^3+ ax^2+7x-b``. Determine the values of a and b.Ans :
- #3
- #3-a [3]Solve the inequation and represent the solution set on the number line. $$-3+x \le \frac{8x}{3} +2 \le \frac{14}{3} + 2x , where x \epsilon I$$Ans :
- #3-b [3]Find the value of p for which the lines ``2x + 3y - 7 = 0`` and ``4y -px -12 = 0`` are perpendicular to each other.Ans :
