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ACT American College Testing: Math Section Sample Questions:

1. The function m#n is equal to m 2 - n.
Which of the following is equivalent to m#(n#m)?

A) n 2 - m
B) (n 2 - m) 2 - m
C) (m 2 - n) 2 - n
D) m2+ m - n 2
E) -n

2. In the standard (x, y) coordinate plane, what is the slope of the line given by the equation 4x = 7y + 5?

A) 7
B) 4
C) -4/7
D) 7/4
E) 4/7

3. Which of the following equations represent the linear relationship between time, t, and velocity, v, shown in the table below?

A) v = 120t
B) v = 32t
C) v = 120t + 120
D) v = 120t + 32
E) v = 32t + 120

4. 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) 0.20
D) 0.04
E) 0.16

5. For which of the following conditions will the sum of integers m and n always be an odd integer?

A) m and n are both odd integers.
B) m is an odd integer and n is an even integer.
C) m is an odd integer.
D) n is an odd integer.
E) m and n are both even integers.

Solutions: