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.

CBSE Class 10 Mathematics Solved Question Paper 2016

Short Answer Type

11.

In Fig. , O is the centre of a circle such that diameter AB = 13 cm and AC = 12 cm. BC is joined. Find the area of the shaded region. (Take π = 3.14)

12242 Views

12.

In Fig., a tent is in the shape of a cylinder surmounted by a conical top of the same diameter. If the height and diameter of cylindrical part are 2.1 m and 3 m respectively and the slant height of conical part is 2.8 m, find the cost of canvas needed to make the tent if the canvas is available at the rate of Rs. 500/sq. metre. (use π = 22/7)

4302 Views

13.

If the point P(x, y) is equidistant from the points A(a + b, b – a) and B(a – b,a + b). Prove that bx = ay.

4390 Views

14.
In Fig. find the area of the shaded region, enclosed between two concentric circles of radii 7 cm and 14 cm where ∠AOC = 40°. (use π =22/7)

In the given figure

Area of the region ABCD = Area of sector AOC-Area of sector BOD
$equals fraction numerator 40 degree over denominator 360 degree end fraction x 22 over 7 x space 14 space x space 14 minus fraction numerator 40 degree over denominator 360 degree end fraction x 22 over 7 space x space 7 space space x space 7 equals space 1 over 9 x 22 space x 14 space x 2 minus 1 over 9 space x space 22 space x space 7 space x space 1 equals 22 over 9 space x space left parenthesis 28 minus 7 right parenthesis equals 22 over 9 space x space 21 equals 154 over 3 equals 51.33 space c m squared A r e a space o f space c i r c u l a r space r i n g space equals space 22 over 7 x space 14 space x space 14 minus 22 over 7 space x space 7 space space x space 7 equals 22 space x space 14 space x space 2 minus 22 space x space 7 space x 1 equals space 22 space x space left parenthesis 28 minus 7 right parenthesis equals space 22 space x space 21 equals space 462 space c m squared T h e r e f o r e comma space r e q u i r e d space s h a d e d space r e g i o n equals A r e a space o f space c i r c u l a r space r i n g minus A r e a space o f space r e g i o n space A B D C equals space 462 minus 51.33 equals 410.67 space c m squared T h u s comma space t h e space a r e a space o f s h a d e d space r e g i o n space i s space 410.67 space c m squared$

5015 Views

15.

If the ratio of the sum of first n terms of two A.P’s is (7n +1): (4n + 27), find the ratio of their m^th terms.

2275 Views

16.

Solve for x:
$fraction numerator 1 over denominator left parenthesis straight x minus 1 right parenthesis left parenthesis straight x minus 2 right parenthesis end fraction plus fraction numerator 1 over denominator left parenthesis straight x minus 2 right parenthesis left parenthesis straight x minus 3 right parenthesis end fraction space equals 2 over 3 comma space straight x not equal to 1 comma 2 comma 3$

3303 Views

17.

A conical vessel, with base radius 5 cm and height 24 cm, is full of water. This water is emptied into a cylindrical vessel of base radius 10 cm. Find the height to which the water will rise in the cylindrical vessel. (π = 22/7)

6476 Views

18.

A sphere of diameter 12 cm, is dropped in a right circular cylindrical vessel, partly filled with water. If the sphere is completely submerged in water, the water level in the cylindrical vessel rises by $3 5 over 9 cm$ . Find the diameter of the cylindrical vessel.

2477 Views

19.

A man standing on the deck of a ship, which is 10 m above water level, observes the angle of elevation of the top of a hill as 60° and the angle of depression of the base of a hill as 30°. Find the distance of the hill from the ship and the height of the hill.

3152 Views