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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Statistics & Probability | 15% | - Probability calculations - Bivariate data and scatterplots - Data collection and representation - Measures of center and spread - Statistical inference |
| Topic 2: Number & Quantity | 12% | - Real and complex number systems - Quantities and units - Vectors and matrices - Integer and rational exponents |
| Topic 3: Functions | 20% | - Function definition and notation - Function transformations - Exponential and logarithmic functions - Linear, quadratic, and polynomial functions - Modeling with functions |
| Topic 4: Integrating Essential Skills | 20% | - Rates, percentages, and proportional relationships - Combining multiple skills in complex problems - Average and median calculations - Area, surface area, and volume calculations |
| Topic 5: Geometry | 20% | - Lines, angles, and planes - Quilaterals and polygons - Coordinate geometry - Triangles (including right triangles) - 3D shapes and volume - Circles and circular sectors - Trigonometry (sine, cosine, tangent) |
| Topic 6: Algebra | 20% | - Systems of equations - Linear equations and inequalities - Exponential relationships - Rational and radical equations - Quadratic equations and inequalities |
ACT American College Testing: Math Section Sample Questions:
Question 1
A company offers early bird pricing of $15 on a new product if there are 10 or fewer orders. The price goes down to $12.50 if it is ordered by more than 10. Twenty ends up ordering at the $15 amount.
How much does the company end up offering as rebate?
A. $100
B. $25
C. $50
D. $75
Question 2
In the diagram above, lines EF and GH are parallel, and line AB is perpendicular to lines EF and GH.
What is the length of line AB?
A. 
B. 5
C. 
D. 
E. 
Question 3
Which of the following could be equal to
?
A. 4/12
B. 0.20
C. 5/20
D. -1/4
E. 0/4
Question 4
FILL BLANK
What is the value of
whenx = 2 and y = 5?
Question 5
What is the equation of a line that contains the point (2, 10) and has a y-intercept of 6?
A. y = 2x + 6
B. y = 1/2x + 6
C. y = 4x + 6
D. y = x + 6
Solutions:
| Question 1 Answer: C | Question 2 Answer: D | Question 3 Answer: C | Question 4 Answer: Only visible for members | Question 5 Answer: A |
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