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ACT ACT-Math Exam Syllabus Topics:

ACT American College Testing: Math Section Sample Questions:

1. The number a is located at -2.5 on the number line below

One of the following number lines shows the location of a2.
Which number line is it?
A)

B)

C)

D)

E)

A) Option C
B) Option A
C) Option D
D) Option B
E) Option E

2. A room has a rectangular floor that is 15 feet by 21 feet.
What is the area of the floor in square yards?

A) 24
B) 144
C) 105
D) 36
E) 35

3. If set M contains only the positive factors of 8 and set N contains only the positive factors of 16, then the union of sets M and N:

A) contains nine elements.
B) contains exactly the same elements that are in set N.
C) contains only the elements that are in both sets M and N.
D) contains only even elements.
E) contains four elements.

4. A pair of Jump sneakers costs $60 and a pair of Speed sneakers costs $45.
For the two pairs of sneakers to be the same price

A) the price of a pair of Jump sneakers must decrease by 33%.
B) the price of a pair of Speed sneakers must increase by 25%.
C) the price of a pair of Jump sneakers must decrease by 25%.
D) the price of a pair of Jump sneakers must decrease by 15%.
E) the price of a pair of Speed sneakers must increase by 15%.

5. 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) 0.16
B) 0.40
C) 0.08
D) 0.04
E) 0.20

Solutions: