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

  • Exam Code: ACT-Math
  • Exam Name: ACT American College Testing: Math Section
  • Updated: Sep 03, 2026
  • Q & A: 280 Questions and Answers

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ACT ACT-Math Exam Syllabus Topics:

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

ACT American College Testing: Math Section Sample Questions:

Question 1

Ray

bisects

, the measure of

is 11x °, and the measure of

is
(4x + 18)°. What is the measure of

?

A.

B. 12°
C.

D. 42°
E. 66°


Question 2

A sack contains red, blue, and yellow marbles. The ratio of red marbles to blue marbles to yellow marbles is 3:4:8.
If there are 24 yellow marbles in the sack, how many total marbles are in the sack?

A. 72
B. 96
C. 45
D. 144
E. 48


Question 3

What is the equation of a line that contains the point (2, 10) and has a y-intercept of 6?

A. y = 2x + 6
B. y = x + 6
C. y = 1/2x + 6
D. y = 4x + 6


Question 4

A store prices a coat at $85. During a sale, the coat is sold at 20% off. After the sale, the store raises the price of the coat 10% over its sale price.
What is the price of the coat now?

A. $74.80
B. $68.00
C. $61.20
D. $93.50
E. $18.70


Question 5

If

anda = 4 and b = 8, which of the following could be true?

A. 4 < x < 8
B. a < x < b
C. None of the above
D. x > b
E. x < a


Solutions:

Question 1
Answer: E
Question 2
Answer: C
Question 3
Answer: A
Question 4
Answer: A
Question 5
Answer: E

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