Algebra
Geometry
Sequences, Series, and Vietas
Miscellaneous
100
Solve for x and y:
2x + 5y = 19
x - 2y = -4
(x, y) = (2, 3)
100
What type of triangle has side lengths 25, 60, 65?
Right triangle
100
What is the sum of the roots and product of roots of 3x^2 + 2x - 1.
Sum: -⅔, Product: -1/3
100
What does AIME stand for?
American Invitational Mathematics Examination
200
What is the sum of the prime factors of 2^16−1?
(2^4−1)(2^4+1)(2^8+1)=15⋅17⋅257=3⋅5⋅17⋅257
=282
200
In quadrilateral ABCD, angle A is 45 degrees, angle B is x degrees, angle C is x degrees, and angle D is x degrees. Find x.
x = 45 degrees
200
Find the sum of this series: 1 - 2 + 4 - 8 . . .
1/3
200
Why is our Math Honor Society called Mu Alpha Theta??
Μαθ = MATH
300
The infinite product
evaluates to a real number. What is that number?
sqrt(10)
300
Consider an equilateral triangle with side x with a circle inscribed inside of it. What is the ratio of the circumference of the circle to the area of the triangle?
8π/3x
300
The first four terms of an arithmetic sequence are 
, 
, 
, and 
. What is the 
term of this sequence?
8041
300
Name 5 famous mathematicians and what they contributed to math
answers may vary
400
If x - 1/x = 5
Find x4-1/x4
727
400
Consider an isosceles triangle with two sides of length one and interior angles of 36, 72, and 72 degrees. What is the length of the third side?
Extra credit: Use this answer to evaluate
sin(18 degrees)
Side length: (sqrt(5) - 1)/ 2
Sin(18) : (sqrt(5)-1)/4 = (side length)/ 2
400
The roots of the polynomial 
are the height, length, and width of a rectangular box (right rectangular prism). A new rectangular box is formed by lengthening each edge of the original box by 
units. What is the volume of the new box?
30
400
Name 10 Lowell Math Teachers
(answers vary)