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ACT American College Testing: Math Section Sample Questions:

1. The average of a list of 4 numbers is 90.0. A new list of 4 numbers has the same first 3 numbers as the original list, but the fourth number in the original list is 80, and the fourth number in the new list is 96.
What is the average of this new list of numbers?

A) 94.8
B) 90.0
C) 94.0
D) 91.5
E) 94.5

2. Ray

bisects

, the measure of

is 11x °, and the measure of

is
(4x + 18)°. What is the measure of

?

A) 42°
B) 66°
C)

D) 12°
E)

3. What is the tenth term of the sequence: 5, 15, 45, 135, ... ?

A) 5 10
B) (5 × 3) 9
C) 5 × 3 10
D) 5 × 3 9
E)

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

5. In the diagram above, ABCD is a square with an area of 100 cm 2 and lines BD and AC are the diagonals of ABCD.

If line EF is parallel to line BC and the length of line CF = 3√ 2 cm, which of the following is equal to the shaded area?

A) 78 cm2
B) 25 cm2
C) 64 cm2
D) 39 cm2
E) 89 cm2

Solutions: