Line segments 
, 
, and 
are parallel and intersect line segments 
and as shown in the figure below. The ratio of the perimeter of ΔFJK to the perimeter of ΔFLM is 3:5, and the ratio of 
to is 1:5. What is the ratio of 
to 
?
(F) 1:05
(G) 1:03
(H) 1:02
(J) 2:01
(K) 5:03
If 
a5 for a ≠ 0, which of the following statements must be true?
(F) x ≠ 0 and y ≠ 0
(G) x + y = 5
(H) x - y = 5
(J) xy = 5
(K) 
= 5
Correct Answer: H
For which of the following values of a will there be exactly one real solution to the equation 2x2 - ax + 8 = 0?
（A）2 
（B） 4
（C） 4
（D） 6
（E） 8
Correct Answer: E
In ΔABC, shown below, the measure of 
b is 40°, the measure of c is 35°, and 
is 27 units long. Which one of the following is an expression of the length, in units, of 
?
(Note:
The law of sines states that for any triangle, the ratio between the
sine of an angle and the length of the side opposite that angle is the
same for all of the interior angles in the triangle.)
（A）
（B） 
（C） 
（D） 
（E） 
Correct Answer: B
More ACT Math Exam Questions
- 1
If -9(y - 13) = 16, then y = ?
- 2
Hannah is 5 years younger than Nora, who is x years old. Which of the following is an expression for Hannah's age in 2 years?
- 3
MicroCorp will hold its annual company picnic next week and will assign 3 planning duties to its employees. One person selected will reserve a venue, another will arrange catering, and a third will plan activities. There are 10 employees eligible to fulfill these duties, and no employee can be assigned more than one duty. How many different ways are there for duties to be assigned to employees?
- 4
If
, then n! =? - 5
Among the following arithmetic operations, which could the emoticon
represent given that the equation (8 2)3 - (4 1)2 = 48 is true?I. Subtraction
II. Multiplication
III. Division