1. The fourth power of a positive integer is equal to four times its square. Find that number!
2. What is XLII in Arabic numerals?
3. A spider finds it easier to work in base eight rather than base ten. What is the decimal equivalent of a spider's 52?
4. Back to binary. 1100001 - (1011 x 101) = ? Give the answer in binary.
5. Divide the number of days in a leap year by the number of feet in a yard, then subtract the product of the number of ounces in a pound and the number of cents in a nickel.
6. The famous Pythagorean Theorem, which states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse, is actually a special case of what theorem/law?
(a) Prime Number Theorem
(c) Cosine Law
(b) Sine Law
(d) Euclid's Theorem
7. Limits - everyone's favourite! This rule/theorem uses derivatives to calculate limits of indeterminate forms (that of the form 0/0 or infinity/infinity). This is known as...
(a) Cauchy's Mean Value Theorem
(c) Cramer's Rule
(b) Limit Rule
(d) L'Hôpital's Rule
8. A very important thing to do, especially in mathematics, is to read your question(s) carefully. With that said, check out this integral: "the integral with limits from -1 to 1 of (1/x) dx." What, if anything, is wrong with this integral?
(a) Nothing is wrong with the integral - the answer is 0
(b) The function has a discontinuity within the given limits
(c) The differential is missing
(d) The antiderivative of 1/x does not exist
9. Here is an equation: (x,y,z) = (1,2,5) + t1(2,0,0) + t2(0,1,-2) What does this equation represent?
(a) Line passing through the point (1,2,5), parallel to the vectors (2,0,0) and (0,1,-2)
(b) Plane passing through the point (1,2,5), parallel to the vectors (2,0,0) and (0,1,-2)
(c) Plane passing through the points (2,0,0) and (0,1,-2), parellel to the vector (1,2,5)
(d) Line passing through the points (2,0,0) and (0,1,-2), parallel to the vector (1,2,5)

10. The suffix -gon means side and is a part of the words pentagon, octagon, dodecagon. How many sides does each of these figures have?
(a) five, six, and seven (b) six, eight, and twelve
(c) five, seven, and ten (d) five, eight, and twelve
11. The prefix nano- is used for one billionth. What does nano mean in Greek?
(a) midget (b) elf (c) dwarf (d) pygmy
12. The capital sigma is used to denote the summation of a series of numbers. On the other hand, which Greek letter is used to denote the product of a series of numbers?
(a) Omega (b) Tau (c) Kappa (d) Pi
13. What is the set of positive numbers that results in whole numbers when raised to the power of one-half?
(a) Pentagonal (b) Triangular (c) Square (d) Cubic
14. The numbers 3, 7, 31, and 127 are what?
(a) Fermat Primes
(c) Leibniz Primes
(b) Newton Primes
(d) Mersenne Primes
15. The number 12 has 6 factors: 1, 2, 3, 4, 6, and 12. If you add up those factors you will get 28. Because of this fact, and the special properties of 6 and 28, the number
12 is called a _________________ number.
16. What is extremely special about these two numbers: 220 and 284?
They are ______________ pairs.