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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
| Statistics & Probability | 15% | - Bivariate data and scatterplots
- Measures of center and spread
- Data collection and representation
- Statistical inference
- Probability calculations
|
| Number & Quantity | 12% | - Vectors and matrices
- Real and complex number systems
- Quantities and units
- Integer and rational exponents
|
| Algebra | 20% | - Linear equations and inequalities
- Exponential relationships
- Rational and radical equations
- Systems of equations
- Quadratic equations and inequalities
|
| Geometry | 20% | - Trigonometry (sine, cosine, tangent)
- Quilaterals and polygons
- 3D shapes and volume
- Triangles (including right triangles)
- Coordinate geometry
- Lines, angles, and planes
- Circles and circular sectors
|
| Integrating Essential Skills | 20% | - Rates, percentages, and proportional relationships
- Average and median calculations
- Combining multiple skills in complex problems
- Area, surface area, and volume calculations
|
| Functions | 20% | - Modeling with functions
- Function definition and notation
- Exponential and logarithmic functions
- Function transformations
- Linear, quadratic, and polynomial functions
|
ACT American College Testing: Math Section Sample Questions:
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What is the value of

whenx = 2 and y = 5?
Answer:
4
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In the diagram above, lines K and L are parallel, and lines M and N are parallel. If b = 8, then a = ____.
Answer:
11
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The length of a rectangular prism is four times the height of the prism and one-third the width of the prism. If the volume of the prism is 384 in3, what is the width of the prism?
Answer:
24
A number cube is labeled with the numbers one through six, with one number on each side of the cube.
What is the probability of rolling either a number that is even or a number that is a factor of 9?
- A. 2/3
- B. 1
- C. 1/3
- D. 1/2
- E. 5/6
Answer: E