NSEJS - trigonometry

NSEJS -polynomial

NSEJS - Arithmetic Progression

NSEJS - Arithmetic progression

numbers

How many 4 digit nos.are there that is divisible by 29 and the sum of digits are equal to 29.

STD IX - Algebra paper

Puzzle

There are a 1000 locks in closed position. 1000 children numbering 1 to 1000 approach the lock one by one. The rule is the child (say with number 'n') can open or close the lock numbering  in multiples of "n" only.
so the child in number one position can open all the locks. Child number 2 will be able to close all the locks in multiples of 2 (like 2, 4, 6 .... upto 1000). The other locks will remain as they are.
After all the 1000 children have had their chance, how many locks will be in open position.

Sets and Relations - Singapore Maths Olympiad

Suppose that a function M(n), where n is a +ve integer, is defined by
M(n) = n - 10 for n > 100
M(n) = M(M(n +11) for n ≤ 100
How many solutions does the equation M(n) = 91 have?

JMO / IPM mega / STD IX

Find the area enclosed by the egg. AB is the diameter. AB = BC = AD. O is the centre of the circle. consider the radius AO to be 1 unit.

Answer:

(3 - √2)π - 1

IPM / MTSE Test Paper STD IX

IPM / MTSE Test Paper        STD IX

IMO test Paper STD IX

IMO test Paper STD IX

IPM / MTSE / IMO test paper for STD IX

IPM / MTSE / IMO test paper for STD IX ( Answers are provided)

Arithmetic progression

In a Society, the houses are arranged in one line numbering 1 to 49. What is that value of 'x' for which the sum of the numbers of the houses preceding the house number 'x' is equal to the sum of the numbers of the houses following it.

Arithmetic Progression

 The sequence  p₁, p₂ ... and q₁, q₂ … are in arithmetic progressions such that p₁ + q₁ = 50 and p₁₁ − p₁₀ = q₉₉ − q₁₀₀. Find the sum of the first 100 terms of the progression, 

( p₁ + q₁),( p₂ + q₂) …

factorization

If, 2x⁴ + x³ – 11x² + x + 2 = 0, then find the value of (x + 1/x)

factorization

Factorize: y² – 4 – x² + 4x

factorization

Factorize:
9x2+24x
+34+24x-1+9x−2

15 Practice Questions for STD IX for IPM /IMO / MTSE with answers

15 Practice Questions for STD IX for IPM /IMO / MTSE  with answers

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

ICSE Mock test paper 2015

ICSE Mock test paper 2015