mathcounts notes

2012 Mathcounts State Sprint #30: In rectangle ABCD, shown here, point M is the midpoint of side BC, and point N lies on CD such that DN:NC ...

Check out Mathcounts here, the best competition math program for middle school students. Download this year's Mathcounts handbook her...

Some of the harder/hardest questions at Mathcounts can be tackled at ease using mass point geometry so spend some time understanding it. ...

Geometric mean of a right triangle : Video tutorial  Notes Practice I  Practice II : focus on the height (or altitude) Practice II...

From Mathcounts Mini : Maximum area of inscribed rectangles and triangles \(\Delta EHI\sim\Delta EFG\) \(\rightarrow\) \(\dfrac {a} {...

An original problem on similar triangles from Varun (from FL)

The height of a square based pyramid of equal edges is half of its base diagonal.  You should be able to figure out the volume as well ...

Mathcounts problems : state/nationals level

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  ...

Question #1 : The area ratio of two equilateral triangles are 4 to 9 and the sum of their perimeter is 30 √  3 . What is the area of the a...

How to find volume of a tetrahedron (right pyramid) with side length one. The above link gives you a visual interpretation of the relation...

Check out Mathcounts here, the best competition math program for middle school students. Download this year's Mathcounts handbook her...

Question : \(\Delta\) ABC is an equilateral triangle. Circle "O" is the inscribed circle and it's radius is 15.  What ...

Harder concepts from Mathcounts Mini : Also try the follow-up problems with detailed solutions. Don't do every question. Just the ones ...

For this week's work : Try 2013 Mathworks Math Contest problems from Texas State University Answer key and statistics can be viewed...

#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 in...

Folding paper questions are not too bad so here are two examples:   Question #1:  The two side lengths of rectangle ABCD is "a"...

Question is here. You have two congruent triangles. 17-same angle and- x (SAS) Using distance formula, the two green lines are of the s...

Find the area of the football shape, or the petal shape. The below Mathcounts mini presents two methods. Circle and area revisited from M...

For Mathcounts advanced group -- harder  Mathcounts State/National problem on 3-D geometry.                       From Mathcounts Mini : ...