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ACT American College Testing: Math Section Sample Questions:

1. Mikea, an intern with the Parks and Recreation Department, is developing a proposal for the new a trapezoidal Springdale Park. The figure below shows her scale drawing of the proposed park with 3 side lengths and radius of the merry-go-round given in inches. In Mikea's scale drawing, 1 inch represents 1.5 feet. Mikea's proposal includes installing a fence on the perimeter of the park.

What is the perimeter, in feet, of the park?

A) 126
B) 84
C) 104
D) 156
E) 88

2. FILL BLANK
If point A is at (-1, 2) and point B is at (11, -7), what is length of line AB?

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 (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, Smith plans to build a 3-foot-wide walkway around the outside of the cabin, as shown in the floor plan.
What will be the area, in square feet, of the top surface of the walkway?

A) 324
B) 171
C) 360
D) 396
E) 720

4. FILL BLANK
If

, then a = 3 when z = ___.

5. An empty crate weighs 8.16 kg and an orange weighs 220 g.
If Jon can lift 11,000 g, how many oranges can he pack in the crate before lifting it onto his truck?

A) 37
B) 46
C) 50
D) 12
E) 13

Solutions: