If 
, what is the value of cos a?
(F) 
(G) 
(H) 
(J) 
(K) 
If x = -
and x = 
are the roots of the quadratic equation ax2 + bx + c = 0, then which of the following could represent the two factors of ax2 + bx + c?
(F) (3x + 2) and (4x - 1) (G) (3x + 1) and (4x - 2) (H) (3x - 1) and (4x + 2) (J) (3x - 2) and (4x + 1) (K) (3x - 2) and (4x - 1)
Correct Answer: F
In the following figure, O is the center of the circle, 
is tangent to the circle at D,and 
is tangent to the circle at E.Which of the following must be true?
(F) 
(G) 
is isosceles(H) 
(J) 
(K) 
is a square
Correct Answer: K
Whenever x and y are both integers, what is (6.0 × 10x)(5.0y × 10y)expressed in scientific notation?
(F) 30.0 × 100xy (G) 30.0 × 100xyy (H) 30.0 × 10xy (J) 3.0 × 10x + y + 1 (K) 3.0 × 10xy
Correct Answer: J
More ACT Math Exam Questions
- 1
If 0° ≤ x° ≤ 180° and 4cos2x = 1, then x= ?
- 2
The employees at Belinda's Paint Store are having a competition to see who can create the most new accounts over a period from January to June in a certain year. Data is missing because one of the employees began to erase it from the white board, thinking that the competition was over. The numbers in the chart below have been confirmed with the assistant manager's personal records.
Additional records are uncovered that show that Don's sales decreased 5% each month from January to May because his responsibilities in the store mounted and he could not seek out new accounts as frequently. Which of the following is closest to the number of new accounts Don created in May?
- 3
A painter needs to reach the top of a tall sign in the middle of a flat and level field. He uses a ladder of length x to reach a point on the sign 15 feet above the ground. The angle formed where the ladder meets the ground is noted in the figure below as θ. Which of the following relationships must be true?
- 4
In the spring semester of her math class, Katie's test scores were 108, 81, 79, 99, 85, and 82. What was her average test score in the spring semester?
- 5
The perimeter of a square is 36 inches. What is the area of the square, in square inches?