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ACT American College Testing: Math Section Sample Questions:

1. If the statement "All students take the bus to school" is true, then which of the following must be true?

A) None of the above.
B) If Courtney is not a student, then she does not take the bus.
C) If Courtney takes the bus to school, then she is a student.
D) If Courtney does not take the bus to school, then she is not a student.
E) All of the above.

2. A meter is a measure of length, and 10 decimeters is equal in length to one meter.
How many decimeters are equal in length to 14.5 meters?

A) 145
B) 1.45
C) 14.5
D) 1,450

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 ( ΔABC ), 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.
Mrs. Smith will install a ceiling fan in each room of the cabin and will place curtains over the 4 windows. Each of the ceiling fans has a price of $52.00. The price of curtains for each small window (S) is $39.50, and the price of curtains for the large window (L) is twice that for the small window.
Based on this information, which of the following values is closest to the total price Mrs. Smith will pay for curtains and ceiling fans?

A) $262
B) $354
C) $393
D) $341
E) $302

4. If the lengths of the edges of a cube are decreased by 20%, the surface area of the cube will decrease by:

A) 40%.
B) 36%.
C) 51%.
D) 20%.
E) 120%.

5. Which of the following represents four times the sum of x and 8?

A) 4x
B) x + 8
C) 4x + 8
D) 4 × (x + 8)

Solutions: