ACT ACT-Math Exam : ACT American College Testing: Math Section

ACT-Math
  • Exam Code: ACT-Math
  • Exam Name: ACT American College Testing: Math Section
  • Updated: Nov 02, 2026
  • Q & A: 280 Questions and Answers

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ACT ACT-Math Exam Syllabus Topics:

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

ACT American College Testing: Math Section Sample Questions:

Question #1

FILL BLANK
Point A of rectangle ABCD is located at (-3, 12) and point C is located at (9, 5).
What is the area of rectangle ABCD?

Reveal Solution  Discussion  0

Correct Answer:

84

Question #2

A line through the origin and (10, 4) is shown in the standard (x, y) coordinate plane below. The acute angle between the line and the positive x-axis has measure θ.

What is the value of

?

  • A. 2/5
  • B.
  • C. 5/2
  • D.
  • E.
Reveal Solution  Discussion  0

Correct Answer: A  🗳️

Question #3

The lengths of the 2 legs of right triangle ABC shown below are given in inches.

The midpoint of

is how many inches
from A?

  • A. 21
  • B. 40
  • C. 16
  • D. 20
  • E. 28
Reveal Solution  Discussion  0

Correct Answer: D  🗳️

Question #4

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. 22
  • B. 25
  • C. 24
  • D. 23
Reveal Solution  Discussion  0

Correct Answer: A  🗳️

Question #5

The average of a list of 4 numbers is 90.0. A new list of 4 numbers has the same first 3 numbers as the original list, but the fourth number in the original list is 80, and the fourth number in the new list is 96.
What is the average of this new list of numbers?

  • A. 91.5
  • B. 90.0
  • C. 94.0
  • D. 94.5
  • E. 94.8
Reveal Solution  Discussion  0

Correct Answer: C  🗳️

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