Exam Name: ACT American College Testing: Math Section
Certification Provider: ACT
Corresponding Certification: ACT Mathematics Test
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Updated: Sep 09, 2026
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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Integrating Essential Skills | 20% | - Combining multiple skills in complex problems - Area, surface area, and volume calculations - Average and median calculations - Rates, percentages, and proportional relationships |
| Topic 2: Algebra | 20% | - Quadratic equations and inequalities - Rational and radical equations - Exponential relationships - Systems of equations - Linear equations and inequalities |
| Topic 3: Geometry | 20% | - 3D shapes and volume - Circles and circular sectors - Quilaterals and polygons - Triangles (including right triangles) - Coordinate geometry - Lines, angles, and planes - Trigonometry (sine, cosine, tangent) |
| Topic 4: Number & Quantity | 12% | - Real and complex number systems - Quantities and units - Integer and rational exponents - Vectors and matrices |
| Topic 5: Statistics & Probability | 15% | - Bivariate data and scatterplots - Probability calculations - Data collection and representation - Statistical inference - Measures of center and spread |
| Topic 6: Functions | 20% | - Modeling with functions - Function definition and notation - Function transformations - Exponential and logarithmic functions - Linear, quadratic, and polynomial functions |
ACT American College Testing: Math Section Sample Questions:
At the school carnival, Mike will play a game in which he will toss a penny, a nickel, and a dime at the same time. He will be awarded 3 points for each coin that lands with heads faceup. Let the random variable x represent the total number of points awarded on any toss of the coins.
What is the expected value of x?
- A. 1
- B. 9
- C. 3/2
- D. 9/2
- E. 6
Correct Answer: D 🗳️
If 30% of r is equal to 75% of s, what is 50% of s if r = 30?
- A. 15
- B. 9
- C. 4.5
- D. 12
- E. 6
Correct Answer: E 🗳️
Membership fees for NetFilms streaming service include a one-time membership fee of $10 and ongoing monthly fees of $5.
How many months would you be able to buy with $120 after the membership fee is removed?
- A. 24
- B. 22
- C. 25
- D. 23
Correct Answer: B 🗳️
What is the perimeter, in feet, of a rectangle with width 10 feet and length 20 feet?
- A. 60
- B. 90
- C. 30
- D. 120
Correct Answer: A 🗳️
Let the function f be defined as f(x) = 5x 2 - 7(4x + 3).
What is the value of f(3)?
- A. -75
- B. -26
- C. -33
- D. -60
- E. -18
Correct Answer: D 🗳️
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