Subject

Mathematics

Class

ICSE Class 12

Pre Boards

Practice to excel and get familiar with the paper pattern and the type of questions. Check you answers with answer keys provided.

Sample Papers

Download the PDF Sample Papers Free for off line practice and view the Solutions online.
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 Multiple Choice QuestionsShort Answer Type

1.

If A = 3175, find the values of x and y such that A2 + xI2 = yA


2.

Find the eccentricity and the coordinates of foci of the hyperbola 25x2 - 9y2 = 225


3.

Evaluate: tan2tan-112 - cot-13


4.

Using L'Hospital's Rule, evaluate: limx0 1 +xcotx


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5.

Evaluate: ex(2 +sin2xcos2xdx


ex(2 +sin2xcos2xdx

ex 2cos2x + 2sinxcosxcos2xdx

ex2sec2x + 2sinxcosxdx

ex2sec2x +2tanx dx

2exsec2xdx +tanxdx

We have exf'(x) + f(x)dx = exf(x) + c

exsec2x + tanxdx = extanx + c

2tanxex + c


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6.

Using properties of definite integrals, evaluate: 0π/2sinxsinx + cosxdx


7.

For the given lines of regression, 3x - 2y = 5, and x - 4y = 7, Find:

(i) regression coefficient byx and bxy

(ii) coefficient of correlation r(x, y)


8.

Express the complex number 1 + 3i23 - i in the form of a + ib. Hence, find the modulus and argument of the complex number.


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9.

A bag contains 20 balls numbered from 1 to 20. One ball is drawn at random from the bag. What is the probability that the ball drawn is marked with a number which is multiple of 3 or 4?


10.

Solve the differential equation:

x +1dy - 2xydx = 0


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