If the least common multiple of 9, 10, 12, and vis 540, which of the following could be v?
(A) 18
(B) 24
(C) 27
(D) 36
(E) 45
The expression 23fg - 6f(5f +3g) is equivalent to:
(F) 5fg - 30f2 (G) 25fg (H) 3g - 7fg (J) 41fg - 30f2 (K) 30f2 - 5fg
Correct Answer: F
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 value of cos (
MON)?
(A) 
(B) 
(C) 2
(D) 
(E) 
Correct Answer: B
Doug, who runs track for his high school, was challenged to a race by his younger brother, Matt. Matt started running first, and Doug didn’t start running until Matt had finished a quarter-mile lap on the school track. Doug passed Matt as they both finished their sixth lap. If both boys ran at a constant speed, with Doug running 2 miles an hour faster than Matt, what was Matt’s speed?
(F) 10.5 miles per hour(G) 10 miles per hour(H) 9 miles per hour(J) 8 miles per hour(K) 7.5 miles per hour
Correct Answer: G
More ACT Math Exam Questions
- 1In the figure below, square ABCD has a side length of 6 inches, and squares AEFG and CHIJ each have a side length of 1 inch. What is the area, in square inches, of the shaded pentagon DGFIJ?
- 2Jonathan, Ellery, and 3 other groomsmen are rehearsing for a wedding by walking down an aisle one at a time, one groomsman in front of the other. Each time all 5 walk down the aisle, the groom tells them to walk in a different order from first to last. What is the greatest number of times the groomsmen can walk down the aisle without walking in the same order twice?
- 3Two values of msatisfy the equation |5m– 11| – 3m= 9. What is the result when you multiply these two values together?
- 4
Greg is making a triangular sail for a boat, shaped like a right triangle and shown below.
To determine how much trim to buy for the sail, Greg calculated the sail's perimeter. What is the sail's perimeter, in feet?
- 5
What is the value of x if
?