Progressively Difficult Quantitative Mathematics 1

4 Responses | Created by merviedz |

Mostly what it says on the tin. Pencil and paper is assumed, but calculators are not allowed. I believe a typical score for the average person able to read this test is 35 percent. sqrt() stands for the square root, e and pi stand for the famous mathematical constants, and ^ is an exponential.

  1. 1

    What number is sixteen more than fifteen?

  2. 2

    How many real numbers are there where multiplying by itself and adding to itself result in the same number?

  3. 3

    What integer has the property that the square of its cosine is an integer?

  4. 4

    What is the area of a triangle with sides 5, 12, and 13?

  5. 5

    A cube with side lengths of 1 holds the largest sphere it can possibly contain. What is the minimum distance between the sphere's surface and the cube's corner?

  6. 6

    Suppose the chance that one aces this quiz is .000001, but .0001 if they are a math teacher. Also, 1 in 1000 people are math teachers. What is the chance that one who aces this quiz is a math teacher?

  7. 7

    What is the trace of the reduced row echelon form of the four by four matrix whose elements are all negative one?

  8. 8

    Which of these are a term in the solution of the differential equation y'' - 2y'/x + 2y/x = 0?

  9. 9

    Calculate the real part of (3i)^i, where i is the imaginary unit.

  10. 10

    What happens to the Laplacian of the 2-d polar function f(r,theta) = e^theta, "theta" being the azimuthal angle, as the positive distance from the origin is tripled?

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