ACT ACT-Math Questions & Answers - in .pdf
- Total Q&A: 280
- Update: Oct 21, 2026
- Price: $59.99
- Vendor: ACT
- Exam Code: ACT-Math
- Exam Name: ACT American College Testing: Math Section
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ACT ACT-Math Q&A - Testing Engine
- Total Q&A: 280
- Update: Oct 21, 2026
- Price: $59.99
- Vendor: ACT
- Exam Code: ACT-Math
- Exam Name: ACT American College Testing: Math Section
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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
| Number & Quantity | 12% | - Integer and rational exponents
- Real and complex number systems
- Vectors and matrices
- Quantities and units
|
| Geometry | 20% | - Circles and circular sectors
- Lines, angles, and planes
- 3D shapes and volume
- Triangles (including right triangles)
- Quilaterals and polygons
- Trigonometry (sine, cosine, tangent)
- Coordinate geometry
|
| Algebra | 20% | - Systems of equations
- Quadratic equations and inequalities
- Rational and radical equations
- Linear equations and inequalities
- Exponential relationships
|
| Integrating Essential Skills | 20% | - Area, surface area, and volume calculations
- Rates, percentages, and proportional relationships
- Combining multiple skills in complex problems
- Average and median calculations
|
| 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
- Function transformations
- Linear, quadratic, and polynomial functions
- Modeling with functions
- Exponential and logarithmic functions
|
ACT American College Testing: Math Section Sample Questions:
Question #1
How does the area of a rectangle change if both the base and the height of the original rectangle are tripled?
A. The area is tripled.
B. The area is six times larger.
C. The area remains the same.
D. The area is nine times larger.
E. The area cannot be determined.
Question #2
A music store offers customized guitars. A buyer has four choices for the neck of the guitar, two choices for the body of the guitar, and six choices for the color of the guitar.
The music store offers:
A. 36 different guitars.
B. 1 2 different guitars.
C. 48 different guitars.
D. 24 different guitars.
E. 16 different guitars.
Question #3
The expression

is equivalent to:
A. x + 5
B. -5 / (2x - 7)
C. (2x - 15) / (4x - 21)
D. (x + 5) / (x + 7)
E. 5/7
Question #4
FILL BLANK
The length of a room is three more than twice the width of the room. The perimeter of the room is 66 feet.
What is the length of the room?
Question #5
One of the following graphs in the standard ( x , y ) coordinate plane is the graph of y = sin 2 x + cos 2 x over the domain -π/2 ≤ x ≤ π/2.
Which one?
A)

B)

C)

D)

E)

A. Option A
B. Option F
C. Option E
D. Option D
E. Option C
F. Option B
Solutions:
Question #1 Correct Answer: D | Question #2 Correct Answer: C | Question #3 Correct Answer: D | Question #4 Correct Answer: Only visible for members | Question #5 Correct Answer: E |
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