NSEJS - exam paper

NSEJS - probability

IMO test paper - STD X

IMO test paper - STD X

ICSE mock test paper

ICSE mock test paper for STD X

ICSE mock test paper

ICSE mock test paper STD X

time and work

two pipes running together can fill up a cistern in 40/13 mins. If one pipe takes 3 mins more than the other to fill the cistern, find the time in which each time would fill the cistern?

distance and speed

Two trains leave the railway station at the same time. One train is travelling due north and the other due east. The first train is 5 km/hr faster than the second train. If after 2 hours, the trains are 50 km apart, what is the speed of each train?

circle

The sum of the areas of two circles is 116π cm2 (refer diagram below). the centre of the circles is 6 cm apart. find the radius of the circles.

profit and loss

A shopkeeper buys an article at a rebate of 20% on the printed price. He spends Rs 100 on the transportation of the article. After charging a sales tax of 6% on the printed price, he sells the article at Rs 1060. Find the profit percentage.

quadratic equation

in a positive fraction, the denominator is greater than the numerator by 3. If 1 is subtracted from both the numerator and denominator, the fraction is decreased by 1/14. Find the fraction.

time and work

Pipe A can fill a tank in 3 hours less than pipe B. they together can fill the tank in 6 hours and 40 mins. find the time each tank will take to fill the tank.

distance and speed

The speed of a boat in still water is 11 km/hr. It can go 12 km upstream and return downstream to the original point in 2 hours and 45 mins. Find the speed of the stream.

profit and loss

By selling an article for Rs 24 the profit percentage made is equal to the cost price of the article. Find the cost price of the article.

Answer: Rs 20.

remainder theorem

Without actually dividing prove that x⁴ + 2x³ – 2x² + 2x – 3 is exactly divisible by x² + 2x – 3 

ratio and proportion

ratio and proportion

coordinate geometry

Show that the lines x = 0 and y = 0 trisect the line segment formed by joining the points (-10, -4) and (5,8). Find the point of trisection.

trigonometry

If A, B and C are interior angles of a triangle ABC, show Tan (A + B – C)/2  = cot C

circle

In the diagram given below, if AD = DC and AB = AC, then show that AP = 1/4 AB

 

trigonometry