Recently Active Class Vii X Mathematics Questions

Prove that 2 is algebraic (For extreme beginners :D) Also prove that 2 + 3 is algebraic ...

10001000 or 1001999 ...

1+x+x^2+....x^{n-1} is a prime.... Prove 'n' is a prime. ...

HEY, PLEASE SOLVE THIS PROBLEM: Todd's bike has a combination lock. To unlock his bike Todd has a secret number that is greater than 100 but less than 1000. Todd's secret number is a square number and the cube root of his sec ...

IN TRIANGLE PQR,S IS ANY POINT ON THE SIDE QR.SHOW THAT PQ+QR+RP>2PS HELP SOLVING IT! ...

IF THE BISECTORS OF ANGLES,<ABC AND ACB OF A TRIANGLE ABC MEET AT POINT O THEN SHOW THAT <BOC =90+1/2<BAC. HELP IN SOLVING IT! ...

Without calculating, which is greater? \frac{361254001}{722508003} or \frac{361254002}{722508005} If I remember correctly, this is one of the first things i learnt from Hall & Knight Edit: Hint: if A/B< C/D, what can you s ...

Prove that n/3+n2/2+n3/6 is an integer for all integers n! ...

There is a square of side 4 units... There are 17 points in the square. Prove that there will be 2 points such that the distance between them is less than equal to √2 (Think of where the number 17 could have come from!) ...

Find the roots of the equation x4+x3-4x2+x+1=0 Hint: Think of (x+1/x) ...

A circle is inscribed in a regular hexagon of side 2 3 cm.Find (i) circumference of the inscribed circle. (ii)area of the inscribed circle. ...

I want to toast Nishant Sir for opening a section for 9th-10th students. It is a superb move and should prove pretty useful I had proposed some such thing in goiit.com and it was totally ignored. The Olympiad section is anywa ...

if a and b are two integers such that 7 divides a2+b2, prove that 49 divides a2+b2. HINT: try using euclid's division algorithm i must admit if presently i were in class ix-x, i would not even know how to approach it! ...

For those of you who have done Euclid's algorithm you could try: Prove that gcd (2a-1, 2b-1) = 2gcd(a,b)-1 [Isnt the result beautiful?!] ...

On my calculator screen, the number 2659 can be read upside down as 6952.The digitsthat can be read upside down are 0,1,2,5,6,8,9 and are read as 0.1.2.5.9.8.6 respectively.Starting with 1, the fifth number that can be read u ...

THEOREMS ON PRIME NUMBERS ...

how to know the simalarity of a triangle?how to prove tht two triangles are similar? ...