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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Integrating Essential Skills | 20% | - Rates, percentages, and proportional relationships - Area, surface area, and volume calculations - Average and median calculations - Combining multiple skills in complex problems |
| Statistics & Probability | 15% | - Data collection and representation - Statistical inference - Probability calculations - Bivariate data and scatterplots - Measures of center and spread |
| Number & Quantity | 12% | - Quantities and units - Real and complex number systems - Integer and rational exponents - Vectors and matrices |
| Algebra | 20% | - Quadratic equations and inequalities - Exponential relationships - Rational and radical equations - Systems of equations - Linear equations and inequalities |
| Functions | 20% | - Function transformations - Function definition and notation - Modeling with functions - Exponential and logarithmic functions - Linear, quadratic, and polynomial functions |
| Geometry | 20% | - 3D shapes and volume - Coordinate geometry - Trigonometry (sine, cosine, tangent) - Quilaterals and polygons - Circles and circular sectors - Lines, angles, and planes - Triangles (including right triangles) |
ACT American College Testing: Math Section Sample Questions:
Question 1
If b3 = -64, then b 2 - 3b - 4 =:
A. -6.
B. 28.
C. -4.
D. 24.
E. 0.
Question 2
The sum of 2 positive numbers is 151. The lesser number is 19 more than the square root of the greater number.
What is the value of the greater number minus the lesser number?
A. 91
B. 121
C. 19
D. 85
E. 66
Question 3
The ABC Book Club charges a $40 monthly fee, plus $ 2 per book read in that month. The Easy Book Club charges a $35 monthly fee, plus $3 per book read in that month.
For each club, how many books must be read in 1 month for the total charges from each club to be equal?
A. 4
B. 5
C. 75
D. 6
E. 1
Question 4
The average of five consecutive odd integers is -21.
What is the least of these integers?
A. -19
B. -21
C. -25
D. -23
E. -17
Question 5
If y = -6, what is the value of (y3 - 40) / (y - 2)?
A. 32
B. 64
C. 0
D. -32
Solutions:
| Question 1 Answer: D | Question 2 Answer: A | Question 3 Answer: B | Question 4 Answer: C | Question 5 Answer: A |
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