JMO STD V and STD VI

Show that a =  2 + 4 + 6 ...... 4002 + 2002 is a perfect square

JMO STD V and STD VI

  

STD V IPM, JMO, numbers

***Find the value of x and y

     2   3   X  Y

     X  Y   2   3

+   X  Y   X  Y

  1   1  4  1   3

***If A, B, C and D are non zero digits such that

                                         A      B

                                         B      C

                                +       C      A

                                         D      D

Find the value of
   

                                         A      B     C

                                         B      C     A

                                +       C      A     B

                                         

Science olympiad -- STD V

NSO - STD V -- 2014

IMO - STD V ---- 2014

IMO - STD V ---- 2014

JMO - STD V and STD VI - test paper 2012

JMO - STD V and STD VI - test paper 2012

Junior Maths Olympiad STD V and VI test paper - 2011

JMO -- STD V and VI

PRADNYA test paper --- prelims -for junior Olympiad for STD V and VI

PRADNYA --- prelims -for junior Olympiad

MTSE STD V - 2014 question Paper

MTSE STD V  - 2014 question Paper

square of numbers STD VIII

If a = 11²⁰¹² + 22²⁰¹² + ........99²⁰¹²

Then ‘a’ is not a perfect square

STD 8

If f(x) = x³ - mx² - 3x + m – 2, where m Ɛ R.

Find S(m) = x₁³ + x₂³+ x₃³, where x₁, x₂, and x₃ are the roots of the polynomial

STD. 8 JMO

If f(x) = ax³ + bx² + cx + d, where a,b,c and d Ɛ R. Find a,b,c and d such that

f(1) + f(2) + f(3) +................f(n) = n⁴

Where n Ɛ N.

Puzzle

A man who recently died, left a sum of Rs 8,000,000 to be divided among his widow, 5 sons and 4 daughters. His Will stated that every son should receive 3 times as much as a daughter, and that every daughter should have twice as much as their mother. How much was the widow's share?

Questions (with answers) on HCF and LCM

1. Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
2. The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:
3. Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:
4. The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:  
5. The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is: 
6. The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is
   
   answers

Tutorial - how to deal with brackets

6 to 7 years of schooling

http://www.youtube.com/watch?feature=player_embedded&v=eHqdcz4pjwE

tutorial - complete the perfect square

for students with 6-7 years of schooling

http://www.youtube.com/watch?feature=player_embedded&v=5WBXhszflR8

tutorial -multiplying 2 binomials

for students with 6-7 years of schooling

http://www.youtube.com/watch?feature=player_embedded&v=pBFIXFwneoM

Tutorials - how to multiply several terms at a time

for students with 6-7 years of schooling

http://www.youtube.com/watch?feature=player_embedded&v=zs6IymmSRrA

tutorials - how to multiply monomials

for students with 6-7 years of schooling

http://www.youtube.com/watch?feature=player_embedded&v=3NgJ1pW8CAY

Tutorial - adding and subtraction of monomials

for students with 6-7 years of schooling

http://www.youtube.com/watch?feature=player_embedded&v=1tfVF9nirEM