circle

find the coordinates of point of contact between the bigger and the smaller circle.

circle

The 2 circles of radius "r" are resting on a horizontal plan. A smaller circle is housed in the gap of the two bigger circles as shown. What is the radius of the smaller circle?

geometry

ABCD is a square. With centre B and C and radius equal to the side of the square, circles are drawn to cut one another at E inside the square. What is the measure of angle BDE?

geometry

ABCD is a square. P is a point in the square such that triangle ABP is equilateral. What is the measure of angle PCB

trigonometry

Circle

A circle with radius 2 cm is placed against a right angle. Another small circle is placed in the gap between the circle and the right angle. What is the radius of the smaller circle?

simple equations

Three friends returning from a movie, stopped to eat at a restaurant. After the dinner, they paid their bill and noticed a bowl of mints at the front counter. Shikha took 1/3^rd of the mints, but returned four because she had a momentary pang of guilt. Farah then took ¼ of what was remaining but returned three for similar reasons. Aditi then took half of the remaining but threw back two into the bowl. The bowl had only 17 mints left when the raid was over. How many mints were originally in the bowl?

counting

In a network of railways, a small island has 15 stations. Find the number of different tickets to be printed for each class, if every station must have tickets for the other station.

LCM and HCF

Three wheels can complete 60, 36 and 24 rpm respectively. There is a red spot on each wheel that touches the ground at time zero. After how much time, all these spots will simultaneously touch the ground again?

geometry STD X

P, Q, S and R are points on the circumference of a circle of radius  "r". such that PQR is an equilateral triangle and PS is the diameter of the circle. What is the perimeter of the quadrilateral PQRS?

indices

 

15 Practice questions for Std VII

15 Practice questions for Std VII (you may choose to refer to the answers under the respective labels)

IMO Test Paper for STD VIII

IMO Test Paper for STD VIII

15 questions for STD VII ---- IPM, MTSE, and IMO, MAT

15 questions for STD VII ---- IPM, MTSE, and IMO, MAT

((you may choose to refer to the answers under the respective labels))

IMO test paper for STD IV

IMO test paper for STD IV

IMO test papers for STD. III

IMO test papers for STD. III

IMO test paper for STD II

IMO test paper for STD II

IMO test paper for STD I

IMO test paper for STD I

polynomials

if f(x) is a polynomial satisying P( x + 3/2) = P (x), for all real values of x. If P(5) = 2002, then find the Value of P(8)

time and work

A tank can be filled by one tap in 20 mins and by another tap in 25 mins.Both the taps are kept open for 5 mins and then the second tap is turned off. In how many minutes more is the tank completely filled?