HOM
Triangles
Circles
Quads
Pot Pourri
100

This man is known for his formula that finds the inradius of cyclic quadrilateral.

Who is Brahmagupta?

100

The area of an isosceles triangle with two sides of lengths 8 and 4.

What is 4sqrt(15)?

100

What a circle is named by

What is the point in the center?

100

The area of the deck in square feet of a rectangular pool which measures 10 feet by 30 feet if it is surrounded by a concrete deck that reaches exactly 3 feet from the pool at all points.

What is 240 + 9pi?

100

The geometry topic tests at Mu Alpha Theta National Convention 2022

3D Geometry, Geometry, CPAV
200

The number of books in Euclid's Elements.

What is 13?

200

The sum of the lengths of the medians in an isosceles right triangle with a hypotenuse of length 2.

What is 1+sqrt(2)?

200

The ratio of the area enclosed by a triangle to the area enclosed by the hexagon if the equilateral triangle and a regular hexagon are inscribed in the same circle.

What is 1:2?

200

The perimeter of a rectangle if a square and the rectangle have equal areas, the length of the diagonal of the square is 5sqrt2, and the ratio of the width to the length of the rectangle is 1:9.

What is 100/3?

200

The years American Heritage Broward won the State and National Convention.

What is 2017 and 2018 for states and 2017 for nationals?

300

The famous Greek mathematician who discovered that the ratio of the volumes when the sphere is inscribed inside the cylinder of a sphere to the cylinder is 2:3

Who is Archimedes?
300

The area of the triangle created by joining 3 non-adjacent vertices of cube of side length 7.

What is 49sqrt(3)/2?

300

The radius of the circle if 2 parallel chords in the same circle are six inches and eight inches long, are 1 inch apart, and are on the same side of the center of the circle.

What is 5 inches?

300
The area of quadrilateral PERU if PE=7, ER=3, RU=6, UP=6, and <P is supplementary to <R.

What is 20sqrt2?

300

The number of seniors from American Heritage Broward that attended states this year.

What is seven?

400

The man who first calculated the circumference of the Earth

Who is Eratosthenes?

400

The area of the circumcircle of a triangle with side lengths that form both an arithmetic and geometric sequence if the triangle's inradius is 2. 

What is 16pi?

400

A circular region has a circumference of 180 cm. A 20 degree sector formed by a central angle and its intercepted arc is cut out of the circle, forming a Pac-Man type figure. This is the lateral surface area of the cone that would result of the two points at the end of the cut out arc are brought together. 

What is 7650/pi?
400

The area of the original rectangle if when the length of a rectangle that is 4 times as long as it is wide is increased by 4 inches and the width is decreased by 1 inch, the area becomes 60 square inches.

What is 64 square inches?

400

The year Dr. Santos graduated from American Heritage.

What is 1998?

500

Whom deduction in mathematics is dedicated to.

Who is Thales of Miletus?

500

Sin<DAE if AD is the median to the hypotenuse of triangle ABC with sides 3, 4, 5 and AE is an altitude.

What is 7/25?

500

The area of the square if a square is inscribed in a 60 degree sector of a circle with radius 6 such that two of its consecutive vertices lie on the arc of the sector.

What is 36(2-sqrt3)?

500

The volume of the solid generated when quadrilateral YETI is rotated around the y-axis if quadrilateral YETI has an interior bound by y=-|2x|+3 and y=|x|.

What is pi?

500
The color and type of car Ms. Fonseca and Dr. Santos drive.

What is a Blue Mini Cooper?