As per your request, I am giving you question paper of the mathematics subject for class 10th of ICSE board.

a) A shopkeeper bought an article for Rs. 3,450. He marks the price of the article 16%
above the cost price. The rate of sales tax charged on the article is 10%
Find the:
(i) market price of the article.
(ii) price paid by a customer who buys the article. [3]

(b) Solve the following inequation and write the soluti
on set: 13x – 5 < 15x + 4 < 7x + 12, x ε R Represent the solution on a real number line. [3]

Question 2

The present population of town is 2,00,000. The population is increased by 10% in
the first year and 15% in the second year. Find the population of the town at the end
of two years.

Three vertices of parallelogram ABCD taken in order are A(3, 6), B(5, 10) and C(3, 2)
(i) the coordinate of the fourth vertex D
(ii) length of diagonal BD
(iii) equation of the side AD of the parallelogra

Katrina opened a recurring deposit account with a Nationalised Bank for a period of 2
years. If the bank pays interest at the rate 6% per annum and the monthly instalment is
Rs. 1,000, find the:
(i) Interest earned in 2 years.
(ii) Matured value [3]

Find the value of ‘K’ foe which x = 3 is a solution of the quadratic equation, (K + 2)x 2
– Kx + 6 = 0. Thus find the other root of the equation. [3]

Construct a regular hexagon of side 5 cm. Construct a circle circumscribing the hexagon.
All traces of construction must be clearly shown.

In the given figure ABC is a triangle and BC is parallel to the y – axis. AB and AC intersect the y–axis at P and Q respectively.
(i) Write the coordinates of A.
(ii) Find the length of AB and AC.
(iii) Find the ratio in which Q divides AC.
(iv) Find the equation of the line AC [4]

Two solid spheres of radii 2 cm and 4 cm are melted and recast into a cone of height 8
cm. Find the radius of the cone so formed. [3]


ICSE Board Class X Mathematics Question paper