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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Number & Quantity | 12% | - Integer and rational exponents - Real and complex number systems - Vectors and matrices - Quantities and units |
| Topic 2: Functions | 20% | - Exponential and logarithmic functions - Function transformations - Linear, quadratic, and polynomial functions - Modeling with functions - Function definition and notation |
| Topic 3: Algebra | 20% | - Quadratic equations and inequalities - Exponential relationships - Linear equations and inequalities - Systems of equations - Rational and radical equations |
| Topic 4: Statistics & Probability | 15% | - Data collection and representation - Bivariate data and scatterplots - Statistical inference - Measures of center and spread - Probability calculations |
| Topic 5: 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 |
| Topic 6: Geometry | 20% | - Circles and circular sectors - Trigonometry (sine, cosine, tangent) - Quilaterals and polygons - Lines, angles, and planes - 3D shapes and volume - Coordinate geometry - Triangles (including right triangles) |
ACT American College Testing: Math Section Sample Questions:
1. What is the degree measure of the obtuse angle formed by the hands of a 12-hour clock that reads exactly one o'clock?
A) 120°
B) 135°
C) 150°
D) 165°
2. It takes six people eight hours to stuff 10,000 envelopes.
How many people would be required to do the job in three hours?
A) 24
B) 12
C) 18
D) 16
E) 4
3. In the diagram above of f(x), for how many values does f(x) = -1?
A) 3
B) 2
C) 1
D) 4
E) 0
4. Laura plans to paint the 8-foot-high rectangular walls of her room, and before she buys paint she needs to know the area of the wall surface to be painted. Two walls are 10 feet wide, and the other 2 walls are 15 feet wide. The combined area of the 1 window and the 1 door in her room is 60 square feet.
What is the area, in square feet, of the wall surface Laura plans to paint?
A) 400
B) 340
C) 200
D) 360
E) 390
5. The point (2, 1) is the midpoint of a line with endpoints at (-5, 3) and:
A) (-7, 2)
B) (7, 1)
C) (-10, 3)
D) (9, -1)
E) (-3, 4)
Solutions:
| Question # 1 Answer: C | Question # 2 Answer: D | Question # 3 Answer: B | Question # 4 Answer: B | Question # 5 Answer: D |
