continued fraction

 

continued fraction

                                                                                                                                           



   

number, division --- JMO

 

numbers / Division - JMO

JMO questions STD V / STD VI

1.       You are given that 47658 x 39876 = 1900410408. Without directly multiplying, use the given information to solve the following question:

52.342 x 0.60124

2.       Find the value of 19999 x 299999 using the information 19999 = 20000 – 1 and 299999 = 300000 – 1.

3.       Consider the number 12345.....11121314........566. Find the 500^th digit.

                                                                                                                                  

Find 4 fractions which lie between 2/3 and 3/4  such that they divide the fractions in 5 equal parts.                           

information

https://sites.google.com/site/tripuramathematicalsociety/olympiad

This site carries a lot of information on reference books for Olympiad.

IMO test papers for STD V

IMO test papers for STD V

IMO test papers for STD IV

IMO test papers for STD IV

IMO test paper --- STD III

IMO test paper --- STD III

STD II IMO test paper

STD II --- IMO test paper

series

fill in the next numbers:
2, 7, 10, 22, 18, 37, 26,........

pipes and cistern

A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4 liters a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 24 hours. How many liters does the cistern hold?

pipes and cisterns

Three pipes A, B and C can fill a tank in 6 hours. All the three pipes are kept open for 2 hours, C is then closed and A and B fills the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is ................

pipes and cisterns

A tank is filled in 10 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?

pipes and cisterns

Three pipes A, B and C can fill up a tank from empty to full in 10 minutes, 20 minutes, and 30 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P,Q and R respectively. What is the proportion of the solution P in the liquid in the tank after 6 minutes?

numbers, JMO

If x ε N in f(x) = 6x + 1 and g(x) = 6x – 1. Then the Venn diagram representation for f(x), g(x) and prime numbers P is given by:

  

JMO / MTSE / IPM Practice paper

JMO

How to construct a 3 x 3 or 5 x 5 or 7 x 7 magic square

Magic square

This is a nice video on Magic square. Do not forget to click on the link that appears at the end of the video. That tells you how to construct a magic square 

Magic square

This is a nice tutorial on Magic Square

http://mathforum.org/alejandre/magic.square/adler/adler4.html