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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Integrating Essential Skills | 20% | - Combining multiple skills in complex problems - Area, surface area, and volume calculations - Rates, percentages, and proportional relationships - Average and median calculations |
| Geometry | 20% | - Circles and circular sectors - Trigonometry (sine, cosine, tangent) - Triangles (including right triangles) - Coordinate geometry - 3D shapes and volume - Quilaterals and polygons - Lines, angles, and planes |
| Number & Quantity | 12% | - Vectors and matrices - Integer and rational exponents - Quantities and units - Real and complex number systems |
| Statistics & Probability | 15% | - Bivariate data and scatterplots - Statistical inference - Measures of center and spread - Data collection and representation - Probability calculations |
| Functions | 20% | - Function definition and notation - Function transformations - Linear, quadratic, and polynomial functions - Modeling with functions - Exponential and logarithmic functions |
| Algebra | 20% | - Linear equations and inequalities - Rational and radical equations - Quadratic equations and inequalities - Exponential relationships - Systems of equations |
ACT American College Testing: Math Section Sample Questions:
1. In triangle DEF, the length of
is
√30inches, and the length of
is 3inches. If it can
be determined, what is the length, in inches, of
?
A) Cannot be determined from the given information.
B) 3
C) 
D) 
E) 
2. FILL BLANK
In the diagram above, lines K and L are parallel, and lines M and N are parallel. If b = 8, then a = ____.
3. FILL BLANK
Point A of rectangle ABCD is located at (-3, 12) and point C is located at (9, 5).
What is the area of rectangle ABCD?
4. If g > 0 and h < 0, which of the following is always positive?
A) g + h
B) g - h
C) g × h
D) |h| - |g|
E) hg
5. What is the difference between 1.8 and
? (Note: A bar indicates a digit pattern that is repeated.)
A) 
B) 
C) 
D) 
E) 
Solutions:
| Question # 1 Answer: A | Question # 2 Answer: Only visible for members | Question # 3 Answer: Only visible for members | Question # 4 Answer: B | Question # 5 Answer: D |
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