Geometry
Algebra
Number Theory
Sequences
Math Trivia
100
What is the hypotenuse of a right triangle with legs 20 and 21?
29
100
Evaluate log3(34*93)
10
100
For an input integer n, the Euler Totient Function gives the total number of smaller integers which are relatively prime to n. What function in number theory would give 1 for F of n and all the selected integers which satisfy this condition?
Greatest Common Factor
100
What is the sum of the infinite geometric series with first term 3 and second term 9/5?
15/2 or 7.5
100
This self-taught mathematician, widely regarded as one of the greatest of all time, often said that his discoveries "came to [him] in a dream."
Who is Srinivasa Ramanujan
200
The keystone arch shown below is made of nine congruent isosceles trapezoids forming a 180 degree arc. What is the degree measure of the larger interior angles of a trapezoid?
100
200
What is the coefficient of the x2y term when the quantity (3x+2y)3 is expanded?
54
200
Which of the following numbers is not divisible by 9?
4869, 10152, 30330, or 6735?
6735
200
A finite arithmetic series starts with first term 1, has a common difference of 3, and is 100 terms long. What is the sum of every term in this series?
14,900
200
These numbers are equal to their aliquot sums, and have a close mathematical relationship to Mersenne primes
What are "perfect numbers"
300
What is the area of a regular octagon with side length 5?
50 + 50sqrt2
300
What are the coordinates of the point (3,2) after it is rotated counterclockwise 90 degrees about the point (5,4)?
(7,2)
300
What is 101 * 294 + 70 mod 9?
1
300
What proportion of the numbers in the Fibonacci sequence are odd? (The Fibonacci sequence is the sequence that starts 0, 1, 1, 2 , 3...)
2/3
300
This Taylor series expansion of sine, cosine and arctangent, was discovered in the 14th century at the Kerala School of Astronomy and Mathematics in Kerala, India.
What is the Madhava Series?
400
A circle is inscribed within a hexagon, which is inscribed within another circle. What is the ratio of the area of the greater circle to the smaller circle?
4/3
400
If the roots of the polynomial x2-kx+24 are both positive, what is the sum of all possible values of k?
60
400
What is the last digit of 4444-4343?
9
400
Find the next term in the sequence:
6, 15, 35, 77, ?
143
400
in Conways game of life, one of the three types of patterns is:
possible answers include:
500
An equilateral triangle of side 6 is cut parallel to its base such that the two resulting pieces are equal in volume. What is the difference in perimeter?
18-12sqrt2
500
Find the solution to the system of equations x+y=4, 2y+z=12, and 2x+z=8.
x=1, y=3, and z=6
500
Write .55959595... as a fraction in simplest form
277/495
500
Find the next term in the sequence:
1/2, 1/2, 3/8, 1/4, 5/32, ?
3/32
500
The quadrivium consisted of these four subjects:
What are algebra, geometry, astronomy, and music?