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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Statistics & Probability | 15% | - Probability calculations - Bivariate data and scatterplots - Measures of center and spread - Data collection and representation - Statistical inference |
| Algebra | 20% | - Linear equations and inequalities - Quadratic equations and inequalities - Systems of equations - Exponential relationships - Rational and radical equations |
| Geometry | 20% | - 3D shapes and volume - Lines, angles, and planes - Trigonometry (sine, cosine, tangent) - Circles and circular sectors - Triangles (including right triangles) - Quilaterals and polygons - Coordinate geometry |
| Number & Quantity | 12% | - Integer and rational exponents - Real and complex number systems - Quantities and units - Vectors and matrices |
| Functions | 20% | - Modeling with functions - Function definition and notation - Exponential and logarithmic functions - Function transformations - Linear, quadratic, and polynomial functions |
| Integrating Essential Skills | 20% | - Average and median calculations - Rates, percentages, and proportional relationships - Area, surface area, and volume calculations - Combining multiple skills in complex problems |
ACT American College Testing: Math Section Sample Questions:
1. If
, then a = ___.
A) 
B) 
C) 
D) 6
E) 5
2. Which of the following statements must be true whenever n, a, b, and c are positive integers such that n < a, c > a, and b > c?
A) a < n
B) b < n
C) b - n > a - n
D) n + b = a + c
E) 2n > a + b
3. The ratio of the number of cubic units in the volume of a cube to the number of square units in the surface area of the cube is 2:3.
What is the surface area of the cube?
A) 64 square units
B) 144 square units
C) 24 square units
D) 96 square units
E) 16 square units
4. A car departs Little Rock, Ark., traveling to a baseball game located nine miles east and 12 miles north of the departure point. About how many miles is the game from the departure point?
A) 63
B) 21
C) 3
D) 15
5. The graph of y = |x - 6| is in the standard (x, y) coordinate plane.
Which of the following transformations, when applied to the graph of y = | x |, results in the graph of y = |x - 6|?
A) Reflection across the line x = 6
B) Translation to the right 6 coordinate units
C) Translation down 6 coordinate units
D) Translation up 6 coordinate units
E) Translation to the left 6 coordinate units
Solutions:
| Question # 1 Answer: C | Question # 2 Answer: C | Question # 3 Answer: D | Question # 4 Answer: D | Question # 5 Answer: B |
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