- Exam Code: ACT-Math
- Exam Name: ACT American College Testing: Math Section
- Certification Provider: ACT
- Corresponding Certification:ACT Mathematics Test
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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Functions | 20% | - Modeling with functions - Function transformations - Linear, quadratic, and polynomial functions - Function definition and notation - Exponential and logarithmic functions |
| Algebra | 20% | - Rational and radical equations - Linear equations and inequalities - Quadratic equations and inequalities - Exponential relationships - Systems of equations |
| Number & Quantity | 12% | - Real and complex number systems - Vectors and matrices - Integer and rational exponents - Quantities and units |
| Geometry | 20% | - Triangles (including right triangles) - Circles and circular sectors - 3D shapes and volume - Lines, angles, and planes - Coordinate geometry - Quilaterals and polygons - Trigonometry (sine, cosine, tangent) |
| Integrating Essential Skills | 20% | - Area, surface area, and volume calculations - Average and median calculations - Rates, percentages, and proportional relationships - Combining multiple skills in complex problems |
| Statistics & Probability | 15% | - Bivariate data and scatterplots - Data collection and representation - Measures of center and spread - Statistical inference - Probability calculations |
ACT American College Testing: Math Section Sample Questions:
1. The list of numbers 41, 35, 30, X, Y, 15 has a median of 25. The mode of the list of numbers is 15.
To the nearest whole number, what is the mean of the list?
A) 27
B) 25
C) 20
D) 30
E) 26
2. Which of the following is the equation of a parabola whose vertex is at (5, -4)?
A) y = (x - 5) 2 + 4
B) y = (x + 5) 2 - 4
C) y = (x - 5) 2 - 4
D) y = x 2 - 29
E) y = (x + 5) 2 + 4
3. In the diagram above, if
measures 110º, what is the
measure of arc AC?
A) 55º
B) 40º
C) Cannot be determined.
D) 20º
E) 80º
4. Which of the following is the vertex of the parabola which is the graph of the equation y = (x + 1)2 + 2?
A) (1, -2)
B) (2, -1)
C) (-1, 2)
D) (1, 2)
E) (-1, -2)
5. If the surface area of a cube is 384 cm2, what is the volume of the cube?
A) 115 2 cm3
B) 4096 cm3
C) 51 2 cm3
D) 64 cm3
E) 256 cm3
Solutions:
| Question # 1 Answer: E | Question # 2 Answer: C | Question # 3 Answer: B | Question # 4 Answer: C | Question # 5 Answer: C |
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