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ACT ACT-Math Exam Syllabus Topics:

ACT American College Testing: Math Section Sample Questions:

1. 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) 0.40
B) 0.20
C) 0.04
D) 0.08
E) 0.16

2. A dish is cooked with the secret ingredients A, B, and C mixed in the ratio 2:3:5, respectively, by weight.
How many pounds of secret ingredient A are in 4 2 pounds of the dish?

A) 8.4
B) 21
C) 12.6
D) 42

3. 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) 1.45
B) 1,450
C) 145
D) 14.5

4. 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) 46
B) 12
C) 37
D) 13
E) 50

5. Armin is trying to decide whether to buy a season pass to his college basketball team's 20 home games this season. The cost of an individual ticket is $14, and the cost of a season pass is $175. The season pass will admit Armin to any home basketball game at no additional cost.
What is the minimum number of home basketball games Armin must attend this season in order for the cost of a season pass to be less than the total cost of buying an individual ticket for each game he attends?

A) 20
B) 12
C) 8
D) 13
E) 9

Solutions: