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ICSE/ISC / Mathematics Questions

Total Questions 141
Is there any difference between selling price and sale price?
three cubes of silver 6 cm, 8 cm and 12 cm are melted and recasted into a cube.find (i)the length of each edge of the cube. (ii)the lateral surface area of new cube formed.
If the internal dimensions of a closed box made of wood 1.5 cm thick are 24 cm,18 cm and 12 cm. Find the volume of wood in box.
A circular track has outside circumference of 484m. If the width of the track is 7m, what is its inside circumference.
There is a path of uniform width 3.5m around and inside a garden of circular shape of diameter 105m. Find the area of the path.
what is the meaning of equilateral triangle?
(2x-5)(2x+3) = ?
what is simple interest?
Find the equation of a line whose x-intercept is 3 and y-intercept is -4.
A(8,0),B(0,-8) and C(-16,0) are the vertices of a triangle ABC. If P is in AB and Q is in AC such that AP : PB = AQ : QC = 3 : 5; show that : 8PQ = 3 BC.
If A + B = 90. prove that: (i) cos A/sin B + sin A/cos B = 2 (ii) cos A sin B + sin A cos B=1
The following data have been arranged in ascending order: 29,32,33,,36,39,x,42,45,47 and 50. (i) Find the value of x, if the median is 40. (ii) In the above data,if 50 is changed to 38,find the new median.
Marbles spherical in shape, of diameter 1.4 cm are dropped into a beaker containing some water and fully submerged. The diameter of the beaker is 7 cm. Find how many marbles have been dropped in it,if the water rises by 5.6 cm.
The angle subtended by an arc at its center is complementary of the angle subtended by it at any of the remaining circle. Find the angle at the center.
Two circles intersect each other at points A and B. A line PAQ cuts the two circles at points P and Q.The tangents at points P and Q intersect each other at point T. Prove that P,B,Q and T are con cyclic points.
The expression 4x3-bx2+x-c leaves remainder 0 and 30 when divided by (x+1) and (2x-3) respectively. Calculate the values of b and c hence factorise the given expression completely.
The catalogue price of an article is Rs. 7250. It is available at a discount of 10%. The shopkeeper gives a further discount of 2% on cash payment, but charges a sales-tax on the balance of the article. Find the final price paid by the customer in cash. Answer correct to the nearest rupee.
A right triangle whose sides are 15 cm and 20 cm, is made to revolve about its hypotenuse.Find the volume and the surface are of the double cone formed.(Take pie=3.14)
What is Pythagorean triplets?
What is Heron's Formula?