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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Integrating Essential Skills | 20% | - Average and median calculations - Combining multiple skills in complex problems - Area, surface area, and volume calculations - Rates, percentages, and proportional relationships |
| Statistics & Probability | 15% | - Data collection and representation - Bivariate data and scatterplots - Probability calculations - Statistical inference - Measures of center and spread |
| Geometry | 20% | - Quilaterals and polygons - Trigonometry (sine, cosine, tangent) - Coordinate geometry - 3D shapes and volume - Triangles (including right triangles) - Lines, angles, and planes - Circles and circular sectors |
| Algebra | 20% | - Exponential relationships - Linear equations and inequalities - Rational and radical equations - Systems of equations - Quadratic equations and inequalities |
| Functions | 20% | - Linear, quadratic, and polynomial functions - Function transformations - Exponential and logarithmic functions - Modeling with functions - Function definition and notation |
| Number & Quantity | 12% | - Real and complex number systems - Vectors and matrices - Quantities and units - Integer and rational exponents |
ACT American College Testing: Math Section Sample Questions:
1. What is the value of the expression below?
A) 18
B) 0
C) 2
D) -18
E) -2
2. An empty crate weighs 8.16 kg and an orange weighs 220 g.
If Jon can lift 11,000 g, how many oranges can he pack in the crate before lifting it onto his truck?
A) 37
B) 12
C) 50
D) 13
E) 46
3. The graph of f(x) is shown above.
How many values can be found for f(3)?
A) 4
B) 0
C) 2
D) 1
E) Cannot be determined.
4. What is the probability that a number selected at random from the set {2, 4, 5, 7, 9, 10, 12, 13, 18, 20, 60, 124} will be divisible by both 2 and 5?
A) 2/12
B) 3/4
C) 1/4
D) 1/12
5. The measures of the length, width, and height of a rectangular prism are in the ratio 2:6:5.
If the volume of the prism is 1,620 mm3, what is the width of the prism?
A) 6 mm
B) 18 mm
C) 3 mm
D) 9 mm
E) 27 mm
Solutions:
| Question # 1 Answer: C | Question # 2 Answer: B | Question # 3 Answer: D | Question # 4 Answer: C | Question # 5 Answer: B |

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