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ACT American College Testing: Math Section Sample Questions:

1. A line has a y-intercept of -6 and an x-intercept of 9.
Which of the following is a point on the line?

A) (6, 13)
B) (3, -8)
C) (1, 3)
D) (0, 9)
E) (-6, -10)

2. If x × y = 156, x + y = 43, and x < y, what is the value of x - y?

A) 0
B) -24
C) -35
D) 35

3. In Cherokee County, the fine for speeding is $17 for each mile per hour the driver is traveling over the posted speed limit. In Cherokee County, Kirk was fined $221 for speeding on a road with a posted speed limit of 30 mph.
Kirk was fined for traveling at what speed, in miles per hour?

A) 43
B) 47
C) 17
D) 60
E) 13

4. At the school carnival, Mike will play a game in which he will toss a penny, a nickel, and a dime at the same time. He will be awarded 3 points for each coin that lands with heads faceup. Let the random variable x represent the total number of points awarded on any toss of the coins.
What is the expected value of x?

A) 1
B) 9
C) 3/2
D) 9/2
E) 6

5. A sack contains red, blue, and yellow marbles. The ratio of red marbles to blue marbles to yellow marbles is 3:4:8.
If there are 24 yellow marbles in the sack, how many total marbles are in the sack?

A) 45
B) 144
C) 96
D) 72
E) 48

Solutions: