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ACT ACT-Math Exam Syllabus Topics:

ACT American College Testing: Math Section Sample Questions:

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

2. The number p is greater than 0, a multiple of 6, and a factor of 180.
How many possibilities are there for the value of p?

A) 9
B) 11
C) 10
D) 8
E) 7

3. FILL BLANK
If the distance from point (-2, m) to point (4, -1) is 10 units, what is the positive value of m?

4. FILL BLANK
If a number is chosen at random from a set that contains only the whole number factors of 24, what is the probability that the number is either a multiple of four or a multiple of six?

5. A bank contains one penny, two quarters, four nickels, and three dimes.
What is the probability of selecting a coin that is worth more than five cents but less than 30 cents?

A) 1/5
B) 1/4
C) 1/2
D) 9/10
E) 7/10

Solutions: