LCM and HCF

The product of 2 digit numbers is 2160 and their LCM is 180. Find the 2 numbers.

HCF

Find the HCF of 2923 and 3239

time and work

A certain number of men complete a piece of work in 60 days. if there were 8 men more, the work could be finished in 10 days less. How many men were there originally?

polygon

The sum measure of angles of a regular polygon is 68 rt angles. How many sides does this polygon have?

time and work

16 men can do a piece of work in 16 days. 4 days after they started the work, eight more men joined them. How many days will they take now to complete the work?

Average

The average age of 20 students in a class is 14 years. A student of age 16 leaves them and a new student joins them. Now their average age becomes 13.8 years. What is the age of the new boy?

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.

puzzle

In a debate the Professor's father's son was meeting with the Professor's son's father.
Will the Professor be a part of the meeting.

geometry

 
















I would appreciate receiving your solutions.

distance and speed

Nanu travels at 54 km/hr excluding stoppages and at 45 km/hr including stoppages. How many minutes of stoppage is there in an hour?

Answer:

Basis : 1 hour

let distance to be covered be 54 km

so, distance covered with stoppages = 45 km

shortfall in distance covered = 54 - 45 = 9 km

time taken to cover 9 km = 9/54 = 1/6 hour

so, minutes of stoppage per hour = 60 x 1/6 = 10 mins

making the subject - STD VII

position in class - STD VI

If in a class of 37 students the place of Nanu and Bhanu are 10th and 16th respectively, what
are their places from the last?

A. 27th and 22nd        B. 28th and 20th      C. 27th and 21st       D. 28th and 22nd

geometry - triangle

A triangle has a perimeter of 36 cm. The altitudes of the triangles are in the ratio of 1:2:3. Find the measure of each sides.

Geometry

geometry

geometry - Triangles

Geometry - triangle

Factorisation

Factorisation

Factorisation

Factorisation

IPM mega final - STD VI - 2015

IPM mega final - STD VI - 2015

STD VI IPM test paper 2015

IPM test papers STD VI -- 2015

Geometry triangles

IPM mega final last minute practice paper std VI

IPM mega final last minute practice paper

IPM mega final probable geometry question

problems of geometry

IPM mega final paper 2014

Thank you Mrs. Kulkarni, for the question paper. I am sure it will be of help to many.

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%

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?   
      

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

last minute guess paper of brihan-mumbai-ganit-adhyapak-mandal

click on:
http://ipm-mtse-olympiad-state-scholarship.blogspot.in/2015/03/ipm-mtse-mat-brihan-mumbai-std-viii.html

STD V IPM Mega Final

STD V            IPM Mega Final                     45 mins

exam date

Mega final Guess paper for STD VI

Mega final Guess paper for STD VI

Mega final Guess paper for STD VI

Mega final Guess paper for STD VI

Mega final Guess paper for STD VI

Mega final Guess paper for STD VI

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.

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

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

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

guys you need a break, with who else but LOBO

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

IPM mega final test paper for STD VII

IPM mega final test paper for STD VII

IPM mega finals practice paper STD VII

IPM mega finals practice paper STD VII

rotation

Rotation of number 4 counterclockwise by 90 degrees.

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

IPM Mega Final / MTSE/ MAT Practice Paper

IPM Mega Final / MTSE/ MAT Practice Paper
STD VIII
1 hour Paper

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?

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

MEGA FINAL MOCK TEST PAPER for STD VII

MEGA FINAL MOCK TEST PAPER for STD VII

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.

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

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

IPM mega final paper - 2009 - STD VI

IPM mega final paper - 2009 - STD VI

std VI mega final papers - 2008

std VI mega final papers - 2008

Mega final test paper for STD VII

Mega final test paper for STD VII

Mega final test paper for STD VIII

Mega final practice paper for STD VIII

Thank you so much Chhavi. I really appreciate your effort. It will help everyone.

you have been so kind.

I will certainly post all of them.

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

Mega Final IPM STD VII Practice Paper

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.

Problems on CLOCK

What is the angle between the minute arm and the hour arm at 10:30 pm?

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 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

algebra

Find the value of: (64 - 12)2 + 4 x 64 x 12 = ?
A. 5246	B. 4406
C. 5126	D. 5776

divisibility

How many 3 digit numbers are completely divisible 6 ?
A. 146	B. 148
C. 150	D. 152

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

IPM / MTSE Test Paper STD IX

IPM / MTSE Test Paper        STD IX

IPM / MTSE Test Paper STD VIII

IPM / MTSE Test Paper        STD VIII

IPM / MTSE / MAT - STD VI

IPM / MTSE / MAT - STD VI