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ACT American College Testing: Math Section Sample Questions:

1. FILL BLANK
Point A of rectangle ABCD is located at (-3, 12) and point C is located at (9, 5).
What is the area of rectangle ABCD?

2. A line through the origin and (10, 4) is shown in the standard (x, y) coordinate plane below. The acute angle between the line and the positive x-axis has measure θ.

What is the value of

?

A)

B)

C) 2/5
D) 5/2
E)

3. The lengths of the 2 legs of right triangle ABC shown below are given in inches.

The midpoint of

is how many inches
from A?

A) 21
B) 40
C) 16
D) 20
E) 28

4. Membership fees for NetFilms streaming service include a one-time membership fee of $10 and ongoing monthly fees of $5.
How many months would you be able to buy with $120 after the membership fee is removed?

A) 22
B) 25
C) 24
D) 23

5. 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) 91.5
B) 90.0
C) 94.0
D) 94.5
E) 94.8

Solutions: