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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
| Number & Quantity | 12% | - Vectors and matrices
- Integer and rational exponents
- Quantities and units
- Real and complex number systems
|
| Integrating Essential Skills | 20% | - Rates, percentages, and proportional relationships
- Combining multiple skills in complex problems
- Average and median calculations
- Area, surface area, and volume calculations
|
| Algebra | 20% | - Quadratic equations and inequalities
- Systems of equations
- Rational and radical equations
- Linear equations and inequalities
- Exponential relationships
|
| Geometry | 20% | - Triangles (including right triangles)
- Quilaterals and polygons
- Lines, angles, and planes
- Circles and circular sectors
- 3D shapes and volume
- Coordinate geometry
- Trigonometry (sine, cosine, tangent)
|
| Statistics & Probability | 15% | - Data collection and representation
- Measures of center and spread
- Bivariate data and scatterplots
- Probability calculations
- Statistical inference
|
| Functions | 20% | - Function definition and notation
- Modeling with functions
- Function transformations
- Linear, quadratic, and polynomial functions
- Exponential and logarithmic functions
|
ACT American College Testing: Math Section Sample Questions:
Question 1
What two values are not in the domain of

?
A. 9, 36
B. -6, 36
C. 3, -12
D. -6, 6
E. -3, 12
Question 2
FILL BLANK
DeDe and Mike both run the length of a two-mile field. If DeDe runs 5 mph and Mike runs 6 mph, how many more minutes does it take DeDe to run the field?
Question 3
Drag and drop

A. 1
B. 3
C. 4
D. 2
Question 4
There are seven vocalists, four guitarists, four drummers, and two bassists in Glen Oak's music program, while there are five vocalists, eight guitarists, two drummers, and three bassists in Belmont's music program.
If a band comprises one vocalist, one guitarist, one drummer, and one bassist, how many more bands can be formed in Belmont?
A. 10
B. 18
C. 16
D. 4
E. 26
Question 5
If x 2 + 13 x = 90 and x > 0, what is the value of x ?
A. -5
B. 0
C. 5
D. 10
Solutions:
Question 1 Answer: E | Question 2 Answer: Only visible for members | Question 3 Answer: C | Question 4 Answer: C | Question 5 Answer: C |