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Last Updated: Jul 30, 2026

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ACT ACT-Math Exam Syllabus Topics:

SectionWeightObjectives
Topic 1: Number & Quantity12%- Integer and rational exponents
- Vectors and matrices
- Quantities and units
- Real and complex number systems
Topic 2: Geometry20%- Quilaterals and polygons
- Circles and circular sectors
- Triangles (including right triangles)
- Trigonometry (sine, cosine, tangent)
- 3D shapes and volume
- Coordinate geometry
- Lines, angles, and planes
Topic 3: Functions20%- Exponential and logarithmic functions
- Modeling with functions
- Function definition and notation
- Linear, quadratic, and polynomial functions
- Function transformations
Topic 4: Integrating Essential Skills20%- Rates, percentages, and proportional relationships
- Area, surface area, and volume calculations
- Combining multiple skills in complex problems
- Average and median calculations
Topic 5: Algebra20%- Exponential relationships
- Quadratic equations and inequalities
- Rational and radical equations
- Systems of equations
- Linear equations and inequalities
Topic 6: Statistics & Probability15%- Measures of center and spread
- Bivariate data and scatterplots
- Probability calculations
- Data collection and representation
- Statistical inference

ACT American College Testing: Math Section Sample Questions:

1. Let the function f be defined as f(x) = 5x 2 - 7(4x + 3).
What is the value of f(3)?

A) -33
B) -18
C) -26
D) -60
E) -75


2. FILL BLANK
Find the measure of


3. 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) 315
B) 350
C) 360
D) 336
E) 320


4. Simon plays a video game four times. His game scores are 18 points, 27 points, 1 2 points, and 15 points.
How many points must Simon score in his fifth game in order for the mean, median, and mode of the five games to equal each other?

A) 27 points
B) 21 points
C) 15 points
D) 1 2 points
E) 18 points


5. If g > 0 and h < 0, which of the following is always positive?

A) hg
B) g + h
C) g - h
D) g × h
E) |h| - |g|


Solutions:

Question # 1
Answer: D
Question # 2
Answer: Only visible for members
Question # 3
Answer: D
Question # 4
Answer: E
Question # 5
Answer: C

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