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Lesson Posted on 27/08/2019 Learn Math Olympiad

Methods to Solve a Functional Equations

Parul M Patel

Teaching is my passion, I believe in holding classes in a smaller batch ,so I can give more individual...

A function is a mapping between a set of inputs and a set of outputs with the property that eachInput is related to. In other words, a function is a mapping between two sets A and B.

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Comments Answered on 23/06/2019 Learn Math Olympiad

Anusree

Maths and Science tutor at south kolkata

3 months, 15K

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Answers 9 Comments 1 Answered on 22/03/2019 Learn Math Olympiad

Jane

The answer is 360km. May i know how to derive the answer? Thanks!

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Answers 3 Comments Learn Math Olympiad from the Best Tutors

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Lesson Posted on 05/07/2018 Learn Math Olympiad

Tips to Crack Maths Olympiad IMO Class 1-7

Topup Classes

Topup Classes is personalized tuition, Coaching for Olympiad examination preparation for Maths, English...

Mathematics Olympiad is a quite interesting way to test one’s mathematical prowess and further explore the universe of number tricks and crunching. It is also a forever regular debate among math enthusiasts and is not an easy task to clear. It has a national and international level and requires... read more

**Mathematics Olympiad** is a quite interesting way to test one’s mathematical prowess and further explore the universe of number tricks and crunching. It is also a forever regular debate among math enthusiasts and is not an easy task to clear. It has a national and international level and requires some tricks and strategies to excel. Prepare notes, quick facts for revision – While preparing for exam do remember to create notes and quick points to remember and do a quick revision before exams. Quick facts could be useful enough for future references and revisions. It helps in learning faster. Solve **Quizzes & Puzzles for Maths** – Practice is the key, solve a lot of maths puzzles and practice as many questions as you can. Practising will increase the retention and help in quick revival of concepts in the exam hall. Fix time and place – Make sure when you study, there is no disturbance. Move away from your study place when you need to take breaks. Take frequent breaks by structuring your schedule. Whenever you feel fresh, study the problematic or tedious subjects first for a few minutes and then move on to easy ones.

**Some Key Tips to Crack Maths Olympiad**

- Focus on learning the concepts well and on acquiring the necessary skills needed to solve problems.

Practice mathematics regularly. Make sure that you are solving as many different types of problems as possible. You can practice lots of questions on various topics on the Internet.

Identify the areas of your strength and weakness and focus on weak areas to get better results.

- Solve model and mock papers and understand the pattern of previous years’ papers. This will help you to get acquainted with the pattern and structure of the test.

- Learn shortcuts to solve various types of questions. Keep these points on your fingertips to save time and work efficiently.

- Read questions thoroughly. Olympiad problems are known for their complexity, which means you have to take an extra effort.

- During the exam do not waste time in solving difficult questions; instead try some short and easy questions first.

- Do a lot of practice covering each topic. After that take mock tests, analyse your result, and make an assessment report for your current score.

- Prepare your notes and relevant facts to remember and do a quick revision before exams. It helps in learning faster.

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Comments Lesson Posted on 23/05/2018 Learn Math Olympiad

Pulkit

I have rich experience of a decade of guiding and mentoring students across the country who are aspiring...

JEE 2011 Question on Logarithm Let (x0,y0) be the solution of the following equations: (2x)ln2 = (3y)ln3 3lnx = 2lnyThen x0 is(A)1 6(B)1 3(C)1 2(D) 6Answer and Comments: (C). We can treat the data as a system of equations in the unknowns lnx and lny instead of x and y. This is permissible because a... read more

JEE 2011 Question on Logarithm

Let (x0,y0) be the solution of the following equations: (2x)ln2 = (3y)ln3 3lnx = 2lny

Then x0 is

(A)

1 6

(B)

1 3

(C)

1 2

(D) 6

Answer and Comments: (C). We can treat the data as a system of equations in the unknowns lnx and lny instead of x and y. This is permissible because a (positive) real number is uniquely determined by its logarithm. So, taking logarithms, we get

(ln2)2 + (ln2)(lnx) = (ln3)2 + (ln3)(lny) (1) (ln3)(lnx) = (ln2)(lny) (2)

which can be treated as a system of linear equations in the unknowns lnx and lny. Eliminating lny from the two equations gives (ln2)3 + (ln2)2(lnx)−(ln3)2(ln2) = (ln3)2(lnx) (3)

5

which simpliï¬?es to [(ln3)2 −(ln2)2](lnx) =−(ln2)[(ln3)2 −(ln2)2] (4) As (ln3)6= ±(ln2), we cancel the bracketed factor and get lnx = −ln2 (5) which gives x = 1/2. Once the key idea strikes, viz. to take lnx and lny as the variables, the problem is straightforward. The properties of logarithms needed are elementary and standard. Nowhere we have to convert logarithms w.r.t. one base to those w.r.t. another.

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Comments Answered on 04/05/2018 Learn Math Olympiad

Kusum Chugh

Tutor

Parents must ensure the following qualities in the home tutor for their child's benefit - 1. A verified teacher- The tutor should have a valid ID proof and address proof. It ensures safety of child. 2. Educational background and experience - The tutor should be qualified to teach the concerned subject. 3.... read more

Parents must ensure the following qualities in the home tutor for their child's benefit -

1. A verified teacher- The tutor should have a valid ID proof and address proof. It ensures safety of child.

2. Educational background and experience - The tutor should be qualified to teach the concerned subject.

3. Compatibility - There should be a perfect level of understanding between the tutor and the student. This can be checked by taking a free trial class.

4. Communication skills - The tutor should have language proficiency and communication skills.

5. Passion and attitude - The tutor should have a passion for teaching and should have a positive attitude towards education.

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Answers 42 Comments 4 Learn Math Olympiad from the Best Tutors

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Lesson Posted on 04/04/2018 Learn Math Olympiad

Maths Online Tutor, Hindi Online Tutor

Nisha T.

Real time two-way audio and video interactive classes on white board using digital pen tablet. I am...

Real time two-way audio and video interactive classes on whiteboard using digital pen tablet.I am a highly qualified and experienced online tutor, teaching Maths and Hindi. I have taught more than 7000 sessions too and have more than 100 students worldwide. I teach home schooling students also. I teach... read more

Real time two-way audio and video interactive classes on whiteboard using digital pen tablet.

I am a highly qualified and experienced online tutor, teaching Maths and Hindi. I have taught more than 7000 sessions too and have more than 100 students worldwide. I teach home schooling students also. I teach students of all ages from 3 years to 99 years old.

I teach all topics in Maths including Basic maths, pre algebra, algebra, arithmetic, geometry, pre calculus, calculus, probability, statistics etc.

I also teach any curriculum including CBSE, ICSE, IGCSE, IB, KS1, KS2, KS3 etc.

I teach Hindi language (beginner, intermediate, advanced levels).

Teaching and learning on digital whiteboard gives you the benefit of real time interaction. You can write, draw, chat, audio, video etc. in real time. Scheduling of classes can be flexible.

All your sessions are recorded which enables you to review any time at any place.

So, to have a friendly, interactive and encouraging learning experience for Maths and Hindi, Please contact me.

Contacts

Name NISHA THAKUR

Mobile: +91-9821940507

Skype nishathakur4

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Fee Structure

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Comments Lesson Posted on 05/03/2018 Learn Math Olympiad

Soumi Roy

I am an experienced, qualified tutor with over 8 years of experience in teaching maths and Science across...

1. ABCD is a parallelogram in which ∠A = 110°. Find the measure of each of the angles ∠B, ∠C and ∠D. 2. Two adjacent angles of a parallelogram are equal. What is the measure of each of these angles? 3. Two adjacent angles of a parallelogram are in the ratio 4 : 5. Find the measure... read more

1. ABCD is a parallelogram in which ∠A = 110°. Find the measure of each of the angles ∠B, ∠C and ∠D.

2. Two adjacent angles of a parallelogram are equal. What is the measure of each of these angles?

3. Two adjacent angles of a parallelogram are in the ratio 4 : 5. Find the measure of each of its angles.

4. Two adjacent angles of a parallelogram are (3x - 4)° and (3x + 16)°. Find the value of x and hence find the measure of each of its angles.

5. The sum of two opposite angles of a parallelogram is 130°. Find the measure of each of its angles.

6. Two sides of a parallelogram are in the ratio 5 : 3. If its perimeter is 64 cm, find the lengths of its sides.

7. The perimeter of a parallelogram is 140 cm. If one of the sides is longer than the other by 10 cm, find the length of each of its sides.

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Comments Lesson Posted on 06/02/2018 Learn Math Olympiad

Find The Ratio AE: EC (Important For NTSE Olympiad)

Sujoy D.

1. Strong concept building classes. 2. Weekly tests in weak areas for students to improve their confidence. 3....

Question given below: Solution 1: Solution 2: Solution 3: Solution 4: Draw a line from D... read more

Question given below:

Solution 1:

Solution 2:

Solution 3:

Solution 4:

Draw a line from D parallel to BE cutting AC at P.

CDP and CBE are similar.

EP/EC = BD/BC = 3:5

Also, AFE and ADP are similar.

AE/EP = AD/FD = 2:1

Multiply both the equation from the top, so AE/EC = 6:5.

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Lesson Posted on 19/09/2017 Learn Math Olympiad

Subtraction Of Numbers In An Easy Method

Mamta Mund

I have more than 5 years of experience in teaching maths. Now I m working as subject matter expert for...

As we know in decimal system ten digits are used. I.e 0 - 9. Subtracting a number from base 10, 100, 1000. An easy way to calculate is just subtracting all digits of a digit from 9 and last digit by 10.For an example, subtracting 56 from 100: 100 - 56 = (9 - 5) | (10 - 6) = 44Let's check it using... read more

As we know in decimal system ten digits are used. I.e 0 - 9. Subtracting a number from base 10, 100, 1000. An easy way to calculate is just subtracting all digits of a digit from 9 and last digit by 10.

For an example, subtracting 56 from 100:

100 - 56 = (9 - 5) | (10 - 6) = 44

Let's check it using our conventional method, in units place it is 6 there. So carry from tens place, there also 0, so so take carry from hundred places, I.e in units place has value 10 so subtracting 6 from 10 we get 4 and now in tens place there is digit 9. Now subtract 5 from 9 we get 9 - 5 = 4. So our answer is 44. So lengthy using carry.

If we use the first method we have to do just only subtract 9 from all digits and last digit from 10. This is one of the powerful sutra "All From 9 And Last From 10" Of Vedic Mathematics. We also know that complement of 56 is 44. As if we add 56 with 44 we get 100.

Next, try for subtracting 65 from 10000:

10000 - 65 = 10000 - 0065 = 9935.

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