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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Geometry | 20% | - 3D shapes and volume - Circles and circular sectors - Coordinate geometry - Triangles (including right triangles) - Lines, angles, and planes - Quilaterals and polygons - Trigonometry (sine, cosine, tangent) |
| Algebra | 20% | - Quadratic equations and inequalities - Linear equations and inequalities - Rational and radical equations - Systems of equations - Exponential relationships |
| Statistics & Probability | 15% | - Data collection and representation - Probability calculations - Bivariate data and scatterplots - Measures of center and spread - Statistical inference |
| Integrating Essential Skills | 20% | - Average and median calculations - Rates, percentages, and proportional relationships - Combining multiple skills in complex problems - Area, surface area, and volume calculations |
| Number & Quantity | 12% | - Real and complex number systems - Integer and rational exponents - Vectors and matrices - Quantities and units |
| Functions | 20% | - Exponential and logarithmic functions - Modeling with functions - Function transformations - Function definition and notation - Linear, quadratic, and polynomial functions |
ACT American College Testing: Math Section Sample Questions:
1. 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?
2. If 4x + 5 = 15, then 10x + 5 =:
A) 25.
B) 30.
C) 22.5.
D) 15.
E) 2.5.
3. The fluctuation of water depth at a pier is shown in the figure below.
One of the following values gives the positive difference, in feet, between the greatest water depth and the least water depth shown in this graph.
Which value is it?
A) 6
B) 12
C) 19
D) 9
E) 3
4. Which of the following is equivalent to (12x 2 + 4x + 5y) + (3x 2 - 2x + 3y) = 15x 2 + 2x + 8y?
A) 17x 2 + 4x - 8y
B) 17x 2 + 4x + 8y
C) 17x 2 - 4x + 8y
D) 8 y - 4 x + 17 x 2
5. If
, then ( h ^ g ) ^ h =:
A) 2h
B)
C)
D) 4h
Solutions:
| Question # 1 Answer: Only visible for members | Question # 2 Answer: B | Question # 3 Answer: A | Question # 4 Answer: B | Question # 5 Answer: B |







