If 
,what is the value of a– b?
(A) 1
(B) –1
(C) 2
(D) 
(E) 
The figure below is a pentagon (5-sided figure). Suppose a second pentagon were overlaid on this pentagon. At most, the two figures could have how many points of intersection?
(A) 1 (B) 2 (C) 5 (D) 10 (E) Infinitely many
Correct Answer: E
In 
XYZ, shown below, 
= 30. Which of the following represents the length of 
?
(Note: For a triangle with sides of lengths x, y, and z, and respective opposite angles measuring X, Y, and Z, it will be true that: 
, according to the law of sines.)
（A）
（B） 
（C） 
（D） 
（E） 
Correct Answer: C
Which of the following values of x does NOT satisfy the inequality |x-3|≥12?
(F) -15 (G) -12 (H) -9 (J) 9 (K) 15
Correct Answer: J
More ACT Math Exam Questions
- 1
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 
.
Which of the following is closest to the perimeter, in coordinate units, of
MON? - 2
If
, then y= - 3
In the figure below, ray
was constructed starting from rays 
and 
. By using a compass D and G were marked equidistant from E on rays and . The compass was then used to locate a point F, distinct from E, so that F is equidistant from D and G. For all constructions defined by the above steps, the measures of ∠DEF and ∠GEF:
- 4
For all t > 0, f(t) =
. Which of the following is true about f(t) ? - 5
An integer, x, is subtracted from 6. That difference is then multiplied by 3. This product is 15 more than half the original integer. Which of the following equations represents this relationship?