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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Number & Quantity | 12% | - Quantities and units - Integer and rational exponents - Real and complex number systems - Vectors and matrices |
| Functions | 20% | - Function definition and notation - Exponential and logarithmic functions - Linear, quadratic, and polynomial functions - Modeling with functions - Function transformations |
| Algebra | 20% | - Rational and radical equations - Exponential relationships - Linear equations and inequalities - Quadratic equations and inequalities - Systems of equations |
| Geometry | 20% | - 3D shapes and volume - Coordinate geometry - Trigonometry (sine, cosine, tangent) - Quilaterals and polygons - Triangles (including right triangles) - Circles and circular sectors - Lines, angles, and planes |
| Integrating Essential Skills | 20% | - Rates, percentages, and proportional relationships - Area, surface area, and volume calculations - Combining multiple skills in complex problems - Average and median calculations |
| Statistics & Probability | 15% | - Statistical inference - Data collection and representation - Measures of center and spread - Bivariate data and scatterplots - Probability calculations |
ACT American College Testing: Math Section Sample Questions:
1. If x × y = 144, x + y = 30, and x > y, what is the value of x/y?
A) 8
B) 4
C) 16
D) 32
2. Drag and drop
A) 1
B) 2
C) 4
D) 3
3. A pair of Jump sneakers costs $60 and a pair of Speed sneakers costs $45.
For the two pairs of sneakers to be the same price
A) the price of a pair of Jump sneakers must decrease by 15%.
B) the price of a pair of Speed sneakers must increase by 25%.
C) the price of a pair of Jump sneakers must decrease by 25%.
D) the price of a pair of Speed sneakers must increase by 15%.
E) the price of a pair of Jump sneakers must decrease by 33%.
4. If g × 1/4 = 16, then g × (-1/5):
A) 16/5
B) 8
C) 1/4
D) 1/8
E) 4
5. If x is more than one-third the value of y, which of the following expresses the value of y in terms of x?
A) y = 3 × (x - 2)
B) y = (x + 2) / 3
C) y = 3 × (x - 6)
D) y = (x - 2) / 3
Solutions:
| Question # 1 Answer: B | Question # 2 Answer: C | Question # 3 Answer: C | Question # 4 Answer: C | Question # 5 Answer: A |
