Home->ACT Math

The coordinates of the vertices of MON are shown in the standard (x,y) coordinate plane below. Rectangle MPQR is shown shaded. Point P lies on , point Q lies on , and point R lies on .

What is the slope of MON?

(A) -2

(B) -

(C) 0

(D)

(E) 2

In the figure below, a cone is shown, with dimensions given in centimeters. What is the total surface area of this cone, in square centimeters? (Note: The total surface area of a cone is given by the expression πr² + πrs, where r is the radius and s is the slant height.)

（A）225π （B） 450π （C） 465π （D） 675π （E） 18,000π

Correct Answer: D

If and a, b, and x are integers greater than 1, what must x equal?

（A）11 （B） 154 （C） 252 （D） 1,134 （E） 3,528

Correct Answer: C

A circle is inscribed in a square, as shown below. If x is the distance from the center of the circle to a vertex of the square, then what is the length of the radius of the circle, in terms of x?

(A) 2x (B) x (C) x (D) (E) Cannot be determined from the information given

Correct Answer: D