2015 AMC-8 prep
Hi, Thanks a lot for visiting my blog. E-mail me at thelinscorner@gmail.com if you want to join us who LOVE problem solving (and many other areas equally challenging and engaging.)Currently I'm running...
View ArticleOriginal Problem from a Student Problem Solver on Similar Triangles
An original problem on similar triangles from Varun (from FL)
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2013 Mathcounts State Prep : Geometry Quetsions
Find the sum of the area of the two shaded regions. (or lunes) Solution:The area of the two shaded regions (or lunes) combined = the area of the right triangleProof:If the base of a triangle in...
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2015 Mathcounts State Prep : Inscribed Cricle Radius and Similar Triangles
Question : \(\Delta\) ABC is an equilateral triangle. Circle "O" is the inscribed circle and it's radius is 15. What is the length of the radius of the smaller circle p which is tangent to circle "O"...
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Triangular Numbers & Word Problems: Chapter Level
Triangular Numbers: From Math is Fun. 1, 3, 6, 10, 15, 21, 28, 36, 45...Interesting Triangular Number Patterns: From NrichAnother pattern: The sum of two consecutive triangular numbers is a square...
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Mathcounts : Geometry -- Medians ; Squares in Isosceles Right Triangle,...
Check out Mathcounts here, the best competition math program for middle school students. Download this year's Mathcounts handbook here.This one appears at 91 Mathcounts National Target #4. It's...
View Article2015 unofficial AMC 8 problems and detailed solutions
You know, the most amazing thing about various competitions are the energy, the pleasure, the spontaneity, the camaraderie and the kindred spirits.Thanks a lot for those diligent, inquisitive boys and...
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2013 Mathcounts School and Chapter Harder Problems
You can now download and discuss with your friends this year's school and chapter problems.Here is the link to the official Mathcounts website. Some more challenging problems from this year's...
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2014 Mathcounts State Prep: Volume of a Regular Tetrahedron and Its...
How to find volume of a tetrahedron (right pyramid) with side length one.The above link gives you a visual interpretation of the relationship of a regular tetrahedron, itsrelationship with the cube...
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Dimentional Change Questions III: Similar Shapes
There are numerous similar triangle questions on Mathcounts.Here are the basics: If two triangles are similar, their corresponding angles are congruent and their corresponding sides will have the same...
View ArticleSequences and Series
From Mthcounts Mini: Sequences and SeriesEasier concepts:SequencesArithmetic sequence/determine the nth term Arithmetic and geometric sequencesMathcounts strategies : review some sums Note : Don't just...
View ArticleFor Mainly High School Students : Quest for USAJMO or USAMO
Good luck on your quest.AMC forum from AoPSAIME problems and solutions.AMC-10/12 A, B and AIME Math Jam Transcripts from AoPS 2012 , 2013, 2014 AMC-10/12 A, B harder questions and 2012 AIME I all...
View Article2016 Mathcounts State Prep : How to Avoid Making Careless Mistakes
Why Can Some Kids Handle Pressure While Others Fall Apart? from the New York TimesRelax! You'll Be More Productive from the New York TimesFirst, please read Mathcounts "Forms of Answers" carefully for...
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Mathcounts Strategy: Shoestring (or Shoelace) method of finding the area of...
Check out Mathcounts here, the best competition math program for middle school students. Download this year's Mathcounts handbook here. Shoelace formula from WikipediaMore on ShoelaceProblems:...
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The Grid Technique in Solving Harder Mathcounts Counting Problems : from Vinjai
The following notes are from Vinjai, a student I met online. He graciously shares and offers the tips here on how to tackle those harder Mathcounts counting problems. The point of the grid is to create...
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2013 Mathcounts Natinals Sprint # 28
2013 Mathcounts National Sprint #28 : In right triangle ABC, shown here, line AC = 5 units and line BC = 12 units. Points D and E lie on line AB and line BC respectively, so that line CD is...
View ArticleMathcounts Prep : Algebra Manipulation
Note that: \(\left( x+y\right) ^{2}-2xy= x^{2}+y^{2}\)\(\left( x-y\right) ^{2}+2xy= x^{2}+y^{2}\)\(\left(x-y\right) ^{3}+3xy\left( x-y\right) =x^{3}-y^{3}\)\(\left( x+y\right) ^{3}-3xy\left( x+y\right)...
View Article2015 Mathcounts State/National Prep
Harder concepts from Mathcounts Mini : Also try the follow-up problems with detailed solutions. Don't do every question. Just the ones you think is hard. Geometry : #27 : Area and Volume #30: Similar...
View Article2015 Mathcounts State Prep: Simon's Favorite Factoring Trick
Check out Mathcounts here, the best competition math program for middle school students. Download this year's Mathcounts handbook here.The most common cases of Simon's Favorite Factoring Trick are:I:...
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