Study with ACT-Math Actual Test Questions
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Updated: Sep 02, 2025
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ACT American College Testing: Math Section Sample Questions:
1. The point (6, -3) could be the midpoint of which of the following lines?
A) a line with endpoints at (2, -3) and (6, 1)
B) a line with endpoints at (3, 3) and (12, -6)
C) a line with endpoints at (6, 0) and (6, -6)
D) a line with endpoints at (0, -1) and (12, -2)
E) a line with endpoints at (-6, 3) and (-6, -3)
2. The function m#n is equal to m 2 - n.
Which of the following is equivalent to m#(n#m)?
A) (m 2 - n) 2 - n
B) -n
C) n 2 - m
D) m2+ m - n 2
E) (n 2 - m) 2 - m
3. The Smith family is planning to build a 3-room cabin which consists of 2 bedrooms (BR) and 1 living room (LR). Shown below are the rectangular floor plan (left figure) and a side view of the cabin (right figure). In the side view, the roof forms an isosceles triangle (Δ ABC ), the walls are perpendicular to the level floor (
),
, F is the midpoint of
, and
.
During the week the Smiths plan to roof the cabin, there is 20% chance of rain each day.
Mr. and Mrs. Smith plan to roof the cabin on 2 consecutive days.
Assuming that the chance of rain is independent of the day, what is the probability that it will rain both days?
A) 0.40
B) 0.08
C) 0.16
D) 0.04
E) 0.20
4. When x = 4 and y = 6, by how much does the value of 3x 2 - 3y exceed the value of 2x 2 - 2y?
A) 5
B) 10
C) 20
D) 15
5. In parallelogram ABCD below,
is a diagonal, the measure of
is 40°, and the
measure of
is
57°.
What is the measure of
?
A) 57°
B) 83°
C) 77°
D) 97°
E) 40°
Solutions:
| Question # 1 Answer: C | Question # 2 Answer: D | Question # 3 Answer: D | Question # 4 Answer: B | Question # 5 Answer: B |
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