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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Integrating Essential Skills | 20% | - Area, surface area, and volume calculations - Combining multiple skills in complex problems - Average and median calculations - Rates, percentages, and proportional relationships |
| Geometry | 20% | - 3D shapes and volume - Quilaterals and polygons - Circles and circular sectors - Lines, angles, and planes - Triangles (including right triangles) - Trigonometry (sine, cosine, tangent) - Coordinate geometry |
| Number & Quantity | 12% | - Quantities and units - Integer and rational exponents - Real and complex number systems - Vectors and matrices |
| Functions | 20% | - Linear, quadratic, and polynomial functions - Modeling with functions - Function transformations - Exponential and logarithmic functions - Function definition and notation |
| Algebra | 20% | - Linear equations and inequalities - Quadratic equations and inequalities - Systems of equations - Rational and radical equations - Exponential relationships |
| Statistics & Probability | 15% | - Measures of center and spread - Data collection and representation - Probability calculations - Bivariate data and scatterplots - Statistical inference |
ACT American College Testing: Math Section Sample Questions:
Question 1
Mikea, an intern with the Parks and Recreation Department, is developing a proposal for the new a trapezoidal Springdale Park. The figure below shows her scale drawing of the proposed park with 3 side lengths and radius of the merry-go-round given in inches. In Mikea's scale drawing, 1 inch represents
1.5 feet.
The length of the south side of the park is what percent of the length of the north side?
A. 124%
B. 250%
C. 175%
D. 
E. 112%
Question 2
The diagonal of one face of a cube measures 4√2 in.
What is the volume of the cube?
A. 192 in 3
B. 128√2 in 3
C. 96 in 3
D. 64 in 3
E. 24√2 in 3
Question 3
Based on the diagram above, which of the following is true?
A. e + g + i = 180
B. i = e + f
C. e + f + g + h + i = 360
D. g + i = h + e
E. e + i = e + h
Question 4
If
anda = 4 and b = 8, which of the following could be true?
A. x < a
B. x > b
C. 4 < x < 8
D. a < x < b
E. None of the above
Question 5
If g × 1/4 = 16, then g × (-1/5):
A. 1/4
B. 4
C. 16/5
D. 8
E. 1/8
Solutions:
| Question 1 Answer: D | Question 2 Answer: D | Question 3 Answer: B | Question 4 Answer: A | Question 5 Answer: A |
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