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 QuestionsMultiple Choice Questions

1.

The angle of depression of a car, standing on the ground, from the top of a 75 m high tower, is 30o. The distance of the car from the base of the tower (in m.) is

  • 25√3

  • 50√3

  • 75√3

  • 150


2.

The probability of getting an even number, when a die is thrown once, is

  • 12

  • 13

  • 16

  • 56


3.

A box contains 90 discs, numbered from 1 to 90. If one disc is drawn at random from the box, the probability that it bears a prime-number less than 23,is

  • 790

  • 1090

  • 445

  • 989


4.

If the difference between the circumference and the radius of a circle is 37cm, then using π = 227 , the circumference (in cm) of the circle is:

  • 154

  • 44

  • 14

  • 7


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5.

The common difference of AP 13q. 1-6q3q, 1-12q3q, ........ is;1 1 6q 1 12q, , 3q 3q 3q
... is:

  • q

  • -q

  • -2

  • 2


6.

In fig., a circle with centre O is inscribed in a quadrilateral ABCD such that, it touches the sides BC, AB, AD and CD at points P, Q, R and S respectively, If AB = 29 cm, AD = 23 cm, B = 90o and DS = 5 cm, then the radius of thecircle (in cm) is 

  • 11

  • 18

  • 6

  • 15


7.

In fig., PA and PB are two tangents drawn from an external point P to a circlewith centre C and radius 4 cm. If PA PB, then the length of each tangent is

  • 3

  • 4

  • 5

  • 6


8.

In fig., the area of triangle ABC (in sq. units) is

  • 15

  • 10

  • 7.5

  • 2.5


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 Multiple Choice QuestionsShort Answer Type

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9.

How many three-digit natural numbers are divisible by 7?


Three digit numbers divisible by 7 are 

105, 112, 119, .......994

This is an AP with first term (a) =105 and comman difference (d)= 7

an be the last term.an  = a+ (n - 1 )994 = 105 + (n - 1 ) ( 7 )7 ( n - 1 ) =889n - 1 = 127n = 128Thus, there are 128 three-digit natural terms that are divisible by 7.


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10.

Solve the following quadratic equation for x;43x2 + 5x - 23 = 0 


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