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ACT American College Testing: Math Section Sample Questions:

1. Monica sells pretzels in the cafeteria every school day for a week. She sells 14 pretzels on Monday, 12 pretzels on Tuesday, 16 pretzels on Wednesday, and 12 pretzels on Thursday. Then, she calculates the mean, median, and mode of her sales.
If she sells 13 pretzels on Friday, then:

A) the median will decrease.
B) the mean will increase.
C) the mode will increase.
D) the mean will stay the same.
E) the median will stay the same.

2. The line y = -2x + 8 is:

A) perpendicular to the line 1/2y = -2x - 8.
B) perpendicular to the line 2y = -1/2x + 8.
C) parallel to the line y = 1/2x + 8.
D) parallel to the line 1/2y = -x + 3.
E) perpendicular to the line y = 2x - 8.

3. FILL BLANK
What is the distance from the point where the line given by the equation 3y = 4x + 24 crosses the x-axis to the point where the line crosses the y-axis?

4. If x 2 + 16x = 161, and x > 0, what is the value of x?

A) 11
B) 15
C) 7
D) 3

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

Solutions: