Singapore Maths Olympiad

If it is known that the roots of the equation are all integers, how many distinct roots does the equation have?

x⁵ + 3x⁴ – 4044118x³ – 12132362x² – 12132363x - 2011² = 0

Singapore maths Olympiad

Singapore maths Olympiad

If x = 10000..................................0001000.............................00050
                      2011 times                              2012 times

Which of the following is a perfect square?

a) x - 75  b) x - 25   c) x + 25    d) x + 75

Singapore Maths Olympiad

Singapore maths Olympiad

Singapore Maths Olympiad, Algebra

Singapore maths Olympiad, algebra

 Singapore maths Olympiad

Singapore maths Olympiad algebra

If a, b, and c are real numbers and positive, and if 

a² + ab + b² = 25, 

b² + bc + c² = 49 and 

c² + ca + a² = 64 

Find the value of (a + b + c)^{2                                                        Singapore Maths Olympiad}

miscellaneous example

Find the integral  roots of the equation:

x³  +8x² + 13x + 6 = 0

show  { √5 + 2}^1/3 - { √5 - 2}^1/3 = 1

Find the integral roots of the equation:

Find the integral  roots of the equation:

x³  - 10x² + 27x - 18 = 0

Find the roots of the equation:

Find the roots of the equation:

y⁴  - 2y³ - 21y² +22y + 40 = 0

Find the integral roots of the equation:

Find the integral  roots of the equation:

x⁴  + 4x³ + 8x + 32 = 0

Finding the Rational roots for the equation:

Find the Rational roots for the equation:

32 y³ - 6y - 1 = 0

Rational roots for the equation

Find the Rational roots for the equation:

6y³ -11y² + 6y - 1 = 0

finding rational roots of polynomial

Find the Rational roots for the equation:

96y³ -16y² -6y + 1 = 0

finding rational roots of polynomial

Find the Rational roots for the equation:

y⁴ – (40/3)y³ + (130/3)y² -40y + 9 = 0

finding rational roots

Find the Rational roots for the equation:

24y³ -2y² -5y + 1 = 0

STD VIII - Mega final test paper

STD VIII - Mega final test paper

Maths Challenging questions

shoot me the answer of this question

Passengers are queuing  outside the Railway Station at a Constant Rate. If the railway authorities open up 3 gates, it takes 9 minutes to clear the queue. If instead the railway authorities were to open 5 gates, the queue would have got cleared in 5 minutes. How many minutes before opening of the gates did the first passenger arrive outside the station.

IPM Mega Final - STD VI - 2011

Mega Final - STD VI - 2011

IPM mega test papers - STD VI - 2010

IPM mega test papers - STD VI - 2010