Algebra
Geometry
Misc.
100

A line with slope  intersects a line with slope  at the point . What is the distance between the -intercepts of these two lines? 


What is 10?

100

A particular convex pentagon has two congruent, acute angles. The measure of each of the other interior angles is equal to the sum of the measures of the two acute angles. What is the common measure of the large angles, in degrees?

What is 135?

100

Name the first 7 Fibonacci numbers?

What is 1,1,2,3,5,8,13?

200

If , then what is ?

What is 2?

200

The bottom, side, and front areas of a rectangular box are known. The product of these areas is equal to:

What is D?

200

What is the full name of the x,y,z coordinate plane? (3 words)

What is Cartesian Coordinate Plane?

300

David drives from his home to the airport to catch a flight. He drives  miles in the first hour, but realizes that he will be  hour late if he continues at this speed. He increases his speed by  miles per hour for the rest of the way to the airport and arrives  minutes early. How many miles is the airport from his home?

What is 210?

300

When two congruent equilateral triangles share a common centre, their union can be a star, as shown. If their overlap is a regular hexagon with an area of 60 sq.units, what is the area of one of the original equilateral triangles?

What is 90?

300

What is  in base 7?

What is 12007?

400

Suppose that real number  satisfies What is the value of ?

What is 8?

400

A triangle has vertices ,  and . What is the area, in square units, of triangle ?

What is 12?

400

A very large number  is equal to . What is the smallest positive integer that, when multiplied with , produces a product that is a perfect square?

What is 105?

500

A function  is defined recursively by  and for all integers . What is ?

What is 2017?

500

Triangle  is isosceles with . Medians  and  are perpendicular to each other, and . What is the area of


What is 96?

500


The fourth degree polynomial equation  has four real roots, , ,  and . What is the value of the sum ? Express your answer as a common fraction.

What is 7/4?