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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Integrating Essential Skills | 20% | - Rates, percentages, and proportional relationships - Combining multiple skills in complex problems - Area, surface area, and volume calculations - Average and median calculations |
| Statistics & Probability | 15% | - Measures of center and spread - Probability calculations - Bivariate data and scatterplots - Statistical inference - Data collection and representation |
| Functions | 20% | - Modeling with functions - Function transformations - Exponential and logarithmic functions - Function definition and notation - Linear, quadratic, and polynomial functions |
| Number & Quantity | 12% | - Integer and rational exponents - Real and complex number systems - Vectors and matrices - Quantities and units |
| Algebra | 20% | - Exponential relationships - Linear equations and inequalities - Quadratic equations and inequalities - Rational and radical equations - Systems of equations |
| 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 |
ACT American College Testing: Math Section Sample Questions:
1. In the diagram above, if line AB is parallel to line CD, and line EF is perpendicular to lines AB and CD, all of the following are true EXCEPT:
A) a + h + f = b + g + d.
B) a + h = g.
C) c + b = g.
D) e = a + b + 90.
E) a + b + d = 90.
2. The average of five consecutive odd integers is -21.
What is the least of these integers?
A) -17
B) -23
C) -19
D) -21
E) -25
3. Let the function f be defined as f(x) = 5x 2 - 7(4x + 3).
What is the value of f(3)?
A) -75
B) -60
C) -26
D) -18
E) -33
4. If 40% of j is equal to 50% of k, then j is:
A) 20% larger than k.
B) 15% larger than k.
C) 80% larger than k.
D) 10% larger than k.
E) 25% larger than k.
5. FILL BLANK
Matt weighs 3/5 of Paul's weight. If Matt were to gain 4.8 pounds, he would weigh 2/3 of Paul's weight.
What is Matt's weight in pounds?
Solutions:
| Question # 1 Answer: C | Question # 2 Answer: E | Question # 3 Answer: B | Question # 4 Answer: E | Question # 5 Answer: Only visible for members |
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