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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 |
| Functions | 20% | - Function transformations - Linear, quadratic, and polynomial functions - Modeling with functions - Function definition and notation - Exponential and logarithmic functions |
| Algebra | 20% | - Systems of equations - Rational and radical equations - Exponential relationships - Linear equations and inequalities - Quadratic equations and inequalities |
| Geometry | 20% | - Triangles (including right triangles) - Circles and circular sectors - Quilaterals and polygons - Coordinate geometry - 3D shapes and volume - Lines, angles, and planes - Trigonometry (sine, cosine, tangent) |
| Integrating Essential Skills | 20% | - Combining multiple skills in complex problems - Average and median calculations - Rates, percentages, and proportional relationships - Area, surface area, and volume calculations |
| Statistics & Probability | 15% | - Measures of center and spread - Bivariate data and scatterplots - Probability calculations - Data collection and representation - Statistical inference |
ACT American College Testing: Math Section Sample Questions:
1. In the diagram above, lines EF and GH are parallel, and line AB is perpendicular to lines EF and GH.
What is the length of line AB?
A) 
B) 
C) 
D) 
E) 5
2. FILL BLANK
For any whole number x > 0, how many elements are in the set that contains only the numbers that are multiples AND factors of x?
3. What is the sum of the solutions of the 2 equations below?
8 x = 12
2 y + 10 = 22
A) 9
B) 10
C) 
D) 
E) 
4. Which of the following is equivalent to (2 x + 6) / 4 times (6 x - 36) / (3 x + 9)?
A) x - 6
B) (12x 2 - 216) / (12x + 36)
C) (x - 6) / 4
D) (8x - 30) / (3x + 13)
5. In the diagram above, what is the sum of the measures of the
,
and
?
A) Cannot be determined.
B) 180º
C) 360
D) 720º
E) 540º
Solutions:
| Question # 1 Answer: B | Question # 2 Answer: Only visible for members | Question # 3 Answer: E | Question # 4 Answer: A | Question # 5 Answer: C |
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