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ACT American College Testing: Math Section Sample Questions:

1. What is the sum of the solutions of the 2 equations below?
8 x = 12
2 y + 10 = 22

A)

B)

C) 10
D) 9
E)

2. Given the following figure with one tangent and one secant drawn to the circle, what is the measure of

?

A) 60
B) 85
C) 25
D) 110
E) 50

3. 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 25%.
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 33%.
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%.

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

5. 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.

The length of the south side of the park is what percent of the length of the north side?

A) 250%
B)

C) 124%
D) 175%
E) 112%

Solutions: