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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Modeling | Integrated throughout | - Create and interpret mathematical models - Refine and evaluate model solutions - Apply models across all content domains |
| Integrating Essential Skills | 40–43% | - Logical reasoning and estimation - Multi-step arithmetic and pre-algebra - Rates, averages, and unit conversion - Problem-solving in real-world contexts |
| Preparing for Higher Math | 57–60% | - Number & Quantity
|
ACT American College Testing: Math Section Sample Questions:
Question 1
The ratio of the number of cubic units in the volume of a cube to the number of square units in the surface area of the cube is 2:3.
What is the surface area of the cube?
A. 144 square units
B. 64 square units
C. 16 square units
D. 96 square units
E. 24 square units
Question 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. 1.45
B. 14.5
C. 1,450
D. 145
Question 3
FILL BLANK
There are seven students on the trivia team. Mr. Randall must choose four students to participate in the trivia challenge.
How many different groups of four students can Mr. Randall form?
Question 4
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.
B. 250%
C. 124%
D. 175%
E. 112%
Question 5
The average of 5 distinct scores has the same value as the median of the 5 scores. The sum of the 5 scores is 420.
What is the sum of the 4 scores that are NOT the median?
A. 336
B. 350
C. 320
D. 315
E. 360
Solutions:
| Question 1 Answer: D | Question 2 Answer: D | Question 3 Answer: Only visible for members | Question 4 Answer: A | Question 5 Answer: A |




