Subject

Mathematics

Class

CBSE Class 10

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

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1.

The probability of selecting a rotten apple randomly from a heap of 900 apples is 0.18. What is the number of rotten apples in the heap?


Let the total number of rotten apples in a heap = n

Total number of apples in a heap = 900

probability of selecting a rotten apple from a heap = 0.18

Now.

P(selecting a rotten apple) = Number of rotten applesTotal number of apples0.18 = n900n = 0.18 x 900n = 162Hence, the number of rotten apples is 162.


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2.

If a tower 30 m high, casts a shadow 10 3m long on the ground, then what is the angle of elevation of the sun?


3.

If the angle between two tangents drawn from an external point P to a circle of radius a and centre O, is 60°, then find the length of OP.


4.

What is the common difference of an A.P. in which a21- a7= 84?


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5.

A circle touches all the four sides of a quadrilateral ABCD. Prove that 

AB + CD = BC + DA


6.

Prove that the tangents drawn at the end points of a chord of a circle make equal angles with the chord.


7.

A line intersects the y-axis and x-axis at the points P and Q respectively. If (2, -5) is the mid-point of PQ, then find the coordinates of P and Q.


8.

If the distances of P(x, y) from A(5, 1) and B(-1, 5) are equal, then prove that  3x = 2y.


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 Multiple Choice QuestionsLong Answer Type

9.

Find the value of p, for which one root of the quadratic equation px2 – 14x + 8= 0 is 6 times the other.


10.

For what value of n, are the nth terms of two A.Ps.  63, 65, 67,…. and 3, 10, 17,….. equal?


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