Geometry - triangle
Wednesday, December 2, 2015
Saturday, July 25, 2015
IPM mega final paper 2014
Thank you Mrs. Kulkarni, for the question paper. I am sure it will be of help to many.
Friday, July 24, 2015
problems on percentage
Q as a percentage of P is equal to P as a percentage of (P + Q). Find Q as a percentage of P.
| |
A. 62%
|
B. 50%
|
C. 75%
|
D. 66%
|
Thursday, July 23, 2015
percentage
Two students appear in an examination. One of them secured 9 marks more than the
other and his marks was 56% of the sum of their marks. What are the marks obtained by them?
other and his marks was 56% of the sum of their marks. What are the marks obtained by them?
A. 42, 33
|
B. 42, 36 C. 44, 33 D. 44, 36
|
Problems on Percentage STD VII
A student has to obtain 33% of the total marks to pass. He has got 125 marks and has failed by 40 marks. The maximum marks for the exam are:
A. 600 B. 500 C. 400 D. 300
Tuesday, July 21, 2015
Sunday, July 19, 2015
Friday, July 17, 2015
Teaser on area
ABCD is a rectangle. The area of shaded region is 15 cm2. find the area of rectangle ABCD
Teaser on Area
If ABCD is a Rectangle, and AF = FB. The area of rectangle ABCD = 100 cm2
Find the area of triangle AEF.
area question STD VII
Question on area:
If ABCD is a Rect . The area of the shaded region is 10 cm2. What is the area of rectangle ABCD.
If ABCD is a Rect . The area of the shaded region is 10 cm2. What is the area of rectangle ABCD.
Mega final practice paper for IPM / MTSE / JMO STD VI
Mega final practice paper for IPM / MTSE / JMO STD VI
Mega final practice paper for IPM / MTSE / JMO STD VI
Mega final practice paper for IPM / MTSE / JMO STD VI
Monday, July 13, 2015
Another Teaser on Area
Find the Area of rectangle ABCD
given area of triangle AOC = 40 m2
and area of triangle BOD = 30% of area of Rectangle ABCD
given area of triangle AOC = 40 m2
and area of triangle BOD = 30% of area of Rectangle ABCD
Teaser on Area
Find the Area of rectangle ABCD
given area of triangle AOC = 60 m2
and area of triangle AOB = 40% of area of Rectangle ABCD
given area of triangle AOC = 60 m2
and area of triangle AOB = 40% of area of Rectangle ABCD
Friday, July 10, 2015
scratch your brains guys....this is interesting
Nanu's Grandfather's age is a 2 digit number and her father's age is reverse of her grandfather's age. Nanu's age is 4 times the difference in age between her grandfather and her father. What is Nanu's age.
answer 9 years
answer 9 years
Wednesday, July 8, 2015
Friday, July 3, 2015
Saturday, June 27, 2015
politics at college
Speech written for an aspiring politician invited for a motivational speech for college passouts.
I am honoured to be with you on this august occasion.
You stand at the cusp of time when patterns will give away to uncertainty, don’t worry throw open
the window and see the world as it unfolds. There will be no syllabus to limit you, in-fact a
lot of people get paid for thinking (some call them ideators). The Barometer that you got used to as
yardstick to measure your performance in class will change. Performance will be measured by
effectiveness and not efficiency. It will be measured by your ability to out-think your competition,
yes it will be true “survival of the fittest”.
You cannot connect the dots going forward you can only do it looking backwards....... So trust your
instincts......out of chaos emerges order. When you decide to do something, the world conspires to
make it happen; yes the roads may be uncharted but then if you follow the beaten part you will
reach where others have reached before...... so don’t fear to take the plunge...... dream because if you
can’t then how will your dreams come true.
Steve jobs used to walk 7 miles to the Hare Krishna Temple to get a free meal, and he preferred to
stay hungry (pun intended) till the last day of his life. Bill Gates was negotiating with a giant like IBM for PC when he didn’t even have the blueprint of the PC he would like to sell them. When our own Infosys was going through difficult times the founders wanted to sell Infosys for a Million Dollars......NRN put his feet down saying that if that has to happen then he would buy it. Seeing NRN’s confidence in the company nobody ever talked of walking out any more, and we have Infosys where it stands today.
Don’t try to be sure of everything that you do or intent to do. This is real life not your college; all or
most of creativity and innovation comes out of restlessness to find something. So, stay hungry.
Don’t do what you like rather like what you do. Yes you may end up with a hard landing sometimes,
but don’t lose faith. Please remember your work is going to be a large part of your life, and so if you
don’t enjoy doing whatever you are doing the journey will be painful, boring and tiresome.
I wish you all the best in this new journey. Look good, stay bright and keeping asking yourself every
day, have I learnt something new. The insatiable desire to learn will lead you to explore new horizons and go where no Mangalorian has ever gone before.
Bon Voyage
I am honoured to be with you on this august occasion.
You stand at the cusp of time when patterns will give away to uncertainty, don’t worry throw open
the window and see the world as it unfolds. There will be no syllabus to limit you, in-fact a
lot of people get paid for thinking (some call them ideators). The Barometer that you got used to as
yardstick to measure your performance in class will change. Performance will be measured by
effectiveness and not efficiency. It will be measured by your ability to out-think your competition,
yes it will be true “survival of the fittest”.
You cannot connect the dots going forward you can only do it looking backwards....... So trust your
instincts......out of chaos emerges order. When you decide to do something, the world conspires to
make it happen; yes the roads may be uncharted but then if you follow the beaten part you will
reach where others have reached before...... so don’t fear to take the plunge...... dream because if you
can’t then how will your dreams come true.
Steve jobs used to walk 7 miles to the Hare Krishna Temple to get a free meal, and he preferred to
stay hungry (pun intended) till the last day of his life. Bill Gates was negotiating with a giant like IBM for PC when he didn’t even have the blueprint of the PC he would like to sell them. When our own Infosys was going through difficult times the founders wanted to sell Infosys for a Million Dollars......NRN put his feet down saying that if that has to happen then he would buy it. Seeing NRN’s confidence in the company nobody ever talked of walking out any more, and we have Infosys where it stands today.
Don’t try to be sure of everything that you do or intent to do. This is real life not your college; all or
most of creativity and innovation comes out of restlessness to find something. So, stay hungry.
Don’t do what you like rather like what you do. Yes you may end up with a hard landing sometimes,
but don’t lose faith. Please remember your work is going to be a large part of your life, and so if you
don’t enjoy doing whatever you are doing the journey will be painful, boring and tiresome.
I wish you all the best in this new journey. Look good, stay bright and keeping asking yourself every
day, have I learnt something new. The insatiable desire to learn will lead you to explore new horizons and go where no Mangalorian has ever gone before.
Bon Voyage
IPM Mega Final / MTSE/ MAT Practice Paper
IPM Mega Final / MTSE/ MAT Practice Paper
STD VIII
1 hour Paper
STD VIII
1 hour Paper
Thursday, June 25, 2015
Coordinate Geometry - Singapore Maths Olympiad
Let A and B be points that lie on the parabola y = x2
such that both are at a distance of 8√2 units from the line y = -x – 4. Find
the square of distance between A and B
Geometry
Given an equilateral triangle, what is the ratio of the area of circumscribed circle to the are of its inscribed circle?
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?
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?
REQUEST
REQUEST
Dear Parents
if you have maths competition question papers of any Std, please share for the benefit of all. you may send it on what's app on 9820808161.
Thank you
Dear Parents
if you have maths competition question papers of any Std, please share for the benefit of all. you may send it on what's app on 9820808161.
Thank you
Tuesday, June 23, 2015
Request
Will some of you like to please share the question papers of maths competitive exams like IPM, MTSE, IMO etc. that you have.
It will benefit all including you sometime in future.
It will benefit all including you sometime in future.
Saturday, June 20, 2015
Singapore maths Olympiad
Let a,b,c,d be real numbers such that a2 + b2
+ 2a – 4b + 4 = 0 and c2 + d2 – 4c + 4d + 4 = 0.
Let m and M be minimum and Maximum value of (a – c)2
+ (b – d)2 respectively. What is m x M.
Singapore maths olympiad, number
If a1, a2, a3,
.............. a2011 are positive integers such that (a1
+ a2 + .....a2011) = a1.a2.....a2011
Then find the max value of (a1 + a2 +
.....a2011)
Singapore maths Olympiad
Find the largest positive integer ‘n’ such that (n + 10) is
a divisor of n3 + 2011
Singapore maths Olympiad, Numbers
Let 'n' be the smallest positive integer such that the sum of its digits is 2011. how many digits does 'n' have?
Probability, Singapore Maths Olympiad
A fair dice is thrown 3 times. the results of the first, second and the third throw are recorded as x, y and z respectively. Suppose x + y = z. What is the probability that one of x,y,z is atleast 2?
Singapore Maths Olympiad
Singapore Maths Olympiad
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
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 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
Saturday, June 13, 2015
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 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
Friday, June 12, 2015
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
Thursday, June 4, 2015
Monday, June 1, 2015
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.
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.
Wednesday, May 27, 2015
Thank you so much Chhavi. I really appreciate your effort. It will help everyone.
you have been so kind.
Dear sir,
I would like to contribute to your blog the IPM megafinal question papers for class 6 of the years 2008,2009,2010,2011. And sir, I request you to post some class 7 Ipm MEGAFINAL past years question papers as I really need them. I would forever be thankful for this help of yours.
THANKING YOU,
CHHAVI G.
Thank you Chhavi for your kind words.
Dear Sir,
I am a student of class 7 and I was deeply impressed by your blog. It contains all what a student needs to prepare for maths competitive examinations.I myself found your practice questions and papers useful. But sir, I think the no. of class 7 IPM megafinal papers is very less. I would be very pleased if you could kindly post some IPM megafinal past question papers of class 7 like you've done for class 4. It would be very helpful for me.
THANKYOU!!!!!
YOURS SINCERELY, Chhavi Gupta
Tuesday, May 26, 2015
Problem on CLOCK
The clock gets slower by a minute in one hour. The clock is adjusted to correct time at 7 am. What is the standard time when the clock shows 12 noon.
Problem on CLOCK
At what time will the hour arm and the minute arm coincide. The hour arm is between 7 and 8.
Problems on CLOCK
At what time will the hour arm be diametrically opposite to the minute arm. The hour arm is between 7 and 8.
Problems on CLOCK
At what times is the angle between the hour arm and the minute arm at 60 degree. The hour arm is between 6 and 7.
Problems on CLOCK
When is the first time, the angle between the minute arm and the hour arm equal to 30o. The hour arm is between 3 and 4.
Sunday, May 3, 2015
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:
Answer:
(3 - √2)Ï€ - 1
IPM mega final STD VII practice paper
IPM Mega final Question Paper (STD VII)
- What is value of the digits in the units place of the following:
1 x 3 x 5 x 7 x 9 x 11 x 13 x .............. 2007 x 2009
- nanu and Shruti are running on a circular track. Nanu is at point A and Shruti is at point B. AB represents the diameter of the circular path. If they run in the same direction it will take them 280 secs to meet and if they run in the opposite direction it will take them 40 secs to meet. What is the ratio of speed of Nanu and Shruti.
- If a and b are whole numbers, then find a and b for the following expression:
3a + 8b = 47
- Between 1 and 2009, how many numbers are multiple of 5 or 7 and 5 and 7?
- Nanu travels from Thane to Mumbai at a constant speed of 20 m/s and then returns from Mumbai to thane at 40/3 m/s. What was the average speed of the vehicle for the whole journey?
- Find the value of 20082009 x 20092008 - 20082008 x 20092009
- How many 3 digit numbers have the sum of the digits equal to 4.
- If nanu travels at 60 km/hr she arrives at 3:00 pm. If she travels at 80 km/hr she arrives at 1:00 pm. What should be her speed if she wishes to arrive at 2:00 pm?
- In the figure given below E and F are the midpoints of AD and DC respectively. ABCD is a rectangle. Find the area of the shaded region.
- The distance between 2 points A and B is decreasing by 10% per sec. WHat is the distance remaining in percentage after 3 secs
- At 10% rate of interest per annum, the difference between compound interest and simple interest is Rs 100 for a period of 2 years.What is the Principal?
Answers:
5, 4:3, a = 5, b = 4, 630 and 57, 57.6 km/hr, 10000, 10, 68 4/7 km/hr, 110 cm2 , 72.9%, Rs 10000
Monday, April 20, 2015
Profit and loss
A reduction of 10% in the price of a pen enabled a trader to purchase 9 more for Rs.540. What is the reduced price of the pen?
| |
A. 8
|
B. 6
|
C. 5
|
D. 4
|
Monday, April 6, 2015
Saturday, April 4, 2015
Wednesday, March 25, 2015
Saturday, March 21, 2015
Friday, March 20, 2015
Questions on indices for IPM, MTSE, IMO for STD VII
Questions on indices for IPM, MTSE, IMO for STD VII
Saturday, March 14, 2015
Sunday, March 8, 2015
puzzle, JMO
There are three temples and one pond before each temple. One person carries some flowers and dips it in the first pond. Number of flowers become 100 times. He then offers some flowers in the first temple.He goes with the balance to second pond and takes a dip. Again the number of flowers increases by 100 times. He offers the same number of flowers at second temple and leaves with the balance flowers to the third pond. There after the dip the number of flowers increase by 100 times. He offers same number of flowers at temple 3 and nothing remains with him afterwards. So how many flowers did he have in the beginning.
Monday, March 2, 2015
Saturday, February 21, 2015
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