Home->ACT Math

To increase the mean of 5 numbers by 3, by how much would the sum of the 5 numbers need to increase?

(A)3

(B) 6

(C) 9

(D) 15

(E) 18

The graph of y = f(x) is shown in the standard (x,y) coordinate plane below with points V, W, X, Y, and Z labeled.

The y-intercept of the graph of y = f(x) is located at which of the following points?

(A) V (B) W (C) X (D) Y (E) Z

Correct Answer: E

Lines p, q, r, and s are shown in the figure below and the set of all angles that are supplementary to x is {1,3,8,11}. Which of the following is the set of all lines that must be parallel?

（A）{q,r} （B） {q,s} （C） {r,s} （D） {p,q} （E） {q,r,s}

Correct Answer: B

What is the maximum number of distinct diagonals that can be drawn in the hexagon shown below?

（A）12 （B） 9 （C） 6 （D） 5 （E） 4

Correct Answer: B