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Number Theory
Geometry
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100

How many prime numbers under 50 are divisible by a Fibonacci number (besides 1)?

4 (2,3,5,13)

100

What is the ratio between the area and circumference of a circle in terms of r?

2:r

100

What is the measure of spread that tells how far the typical value is from the mean?

Standard Deviation

100
What is the difference between the max and min value of 4sinx is

3.75

100

Which of these numbers is the largest?

249, 335, 428, 521, 914?

428

200

How many zeros are at the end of 100! ?

24

200

How many more edges does a square have than vertices?

4

200

If three tests have been graded and the average is 80%, and the fourth test has a score of 95%, what is the new average of all four tests?

83.75%

200

What is the value independent of x in the expansion (2x + 3/x2)6?

2160

200

Is the magnitude of the vector (-1, i) or (1, 0) greater in the real and imaginary plane?

(-1, i)

300

What is the smallest integer x where x%7 = 3 and x%9 = 5?

59

300

This is the name for a three-dimensional shape with a circular base and a single vertex.

Cone

300

In the set of integers defined by 2n+1 where n is an integer between 0 and 9, what is the average of the terms?

100

300

What is the sum of the squares of the roots of the equation 2x2 + 5x + 1 = 0?

21/4

300

Why is everyone scared of 7?

Because 7 8 9.

400

A shop assistant is taking peaches from a box that can hold up to 500 peaches. If the peaches are taken from the box 2,3,4,5 or 6 at a time, one peach is always left over. If the peaches are removed 7 at a time, there are none left. How many peaches are in the box?

301
400

A triangle is inscribed in a circle such that one leg is the diameter of the circle. What is the length of the largest angle in this triangle?

90

400
There are three blue beans and two green beans in a jar. When drawing without replacement, what is the probability I draw three blue beans? 
1/10
400

What is the limit of 1/(2^x)*sin(x)+1 as x approaches -infinity?

DNE

400

For how many positive values of n is n! not divisible by 2005?

400

500

What is the natural number k such that (3k)! ends with exactly 20 zeros?

68

500

The name for the circle that passes through all vertices of a polygon.

Circumcircle

500

In a normal distribution, approximately this percentage of data falls within two standard deviations of the mean.

95%

500

if p = log base 2 of 3 and q = log base 3 of 5, then in terms of p and q, log base 6 of 5 =

(pq)/(1+p)
500

What is 457 (base 8) - 1B4 (base 12) in hexidecimal?

17