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ICSE/ISC->Std 10 Questions

Total Questions 428
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)
WHO APPOINTS THE JUDGES OF SUPREME AND HIGH COURT?
WHAT IS AN AIR SCRUBBER?
A stone of mass 'm' is dropped from a height 'h' m downward. (i) Calculate the kinetic energy with which it reaches the ground? (ii) Name the principle you applied to get the answer?
A moving body weighing 400N possess a 500J of kinetic energy. Calculate the velocity with which the body is moving.(g=10m s-2)
what is dialisis?
A solid consisting of a right circular cone,standing on a hemisphere,is placed upright,in a right circular cylinder,full of water,and touches the bottom. Find the volume of water left in the cylinder,having given that the radius of the cylinder is 3 cm and its height is 6 cm; the radius of the hemisphere is 2 cm and the height of the cone is 4 cm. Give your answer correct to the nearest centimetre. (Take pie=3 1/7).
A motor boat, whose speed is 15 km/hour in still water,goes 30 km downstream and comes back in a total of 4 hours 30 minutes. Find the speed of the stream.
Prove that the locus of a point equidistant from two given points in the perpendicular bisector of the line joining two points.
The line segment joining the points (5,-4) and (2,2) is divided by the point P in the ratio 1:2.Does the line x-2y=0 contain P?
Show that any four vertices of a regular pentagon form a cyclic quadilateral.
Prove that: tan A/1-cot A + cot A/1-tan A =1+tan A+ cot A
what is the name of the compound formed from iron,phospherous,hydrogen and oxygen?
what is the differnce between basic praportionality therom and midpoint therom?
who was the first viceroy of india ?