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Answer to one mathleague quesiton from AoPS
Question is here.You have two congruent triangles. 17-same angle and- x (SAS)Using distance formula, the two green lines are of the same length. \(\left( a-25\right) ^{2}+\left( 20-15\right)...
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Dimensional Change
There are lots of questions on dimensional change and this is a very common one.Make sure you understand the relationship among linear, 2-D (area) and 3-D (volume) ratio.There are many similar...
View ArticleThis Week's Work : Week 26 - for Inquisitive Young Mathletes
Relationships Between a Box's Dimensions, Volume and Surface from Mathcounts MiniYou can skip the tedious method and start watching at 9: 45.Using Similarity to Solve Geometry Problems from Mathcounts...
View ArticleThis Week's Work : Week 40 - for Inquisitive Young Mathletes
Keep reviewing just acquired concepts : sequences, similar triangles, dimensional changes.Concept-based homework will be sent out through e-mail.For this week's work. learn to get all the sides fast...
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2013 Mathcounts State Harder Problems
You can download this year's Mathcounts state competition questions here.Trickier 2013 Mathcounts State Sprint Round questions : Sprint #14: From Varun: Assume the term "everything" refers to all...
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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...
View Article2014 Mathcounts State/National/AMC Prep : More Counting and Probability...
From Mathcounts Mini : Video tutorials on counting and probability for Mathcounts state prepCounting the Number of Subsets of a SetConstructive CountingMore Constructive Counting Probability and...
View ArticleThis Week's Work : Week 41 - for Inquisitive Young Mathletes
Links to review for this week (applicable problems have been sent home through e-mail) :Beginning level : Complementary Counting I Complementary Counting IISimilar trianglesCounting and probability :...
View ArticleFor Mainly High School Students : Quest for USAJMO or USAMO
AMC-10/12 A, B and AIME Math Jams Transcripts from AoPS AMC problems and solutions2010 AMC-10/12 A Math Jams 2010 AMC-10/12 B Math Jams 2010 AIME I Math Jams2010 AIME II Math Jams2011 AMC-10/12 A Math...
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2012 Mathcounts School Round Harder Questions
Check out Mathcounts here, the best competition math program for middle school students. Download this year's Mathcounts handbook here. 2012 Mathcounts Sprint: #29: The difference of the squares of...
View Article2014 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...
View ArticleAMC Counting and Probability question
2011 AMC-10A #18 Bernardo randomly picks distinct numbers from the set (1,2,3,4,5,6,7,8,9) and arranges them in descending order to form a 3-digit number. Silvia randomly picks distinct numbers from...
View Article2010 Mathcounts School Sprint harder questions
Solutions are below; however, refrain yourself from reading them too soon.Happy problem solving!!#22: A bag contains exactly three red marbles, five yellow marbles and two blue marbles. If three...
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Three Pole Problems : Similar triangles
Question: If you know the length of x and y, and the whole length of \(\overline {AB}\),A: what is the ratio of a to b and B: what is the length of z. Solution for question A: \(\Delta\)ABC and...
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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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2014 Mathcounts State Prep: Mathcounts State Harder Questions
Check out Mathcounts here, the best competition math program for middle school students. Download this year's Mathcounts handbook here.Question:2010 Mathcounts State Team Round #10: A square and...
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2014 Mathcounts State Prep : Inscribed Circle Radius and Circumscribed Circle...
#1: P is the interior of equilateral triangle ABC, such that perpendicular segments from P to each of the sides of triangle ABC measure 2 inches, 9 inches and 13 inches. Find the number of square...
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2014 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"...
View Article2014 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 ArticleProblem Solving is Fun
There is a goat, says the question. The goat is tethered to one edge of a barn, on a rope 10 meters long. If the barn is 9 meters long and 5 meters wide, and the goat cannot enter the barn, what is the...
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