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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Functions | 20% | - Function definition and notation - Exponential and logarithmic functions - Linear, quadratic, and polynomial functions - Modeling with functions - Function transformations |
| Statistics & Probability | 15% | - Statistical inference - Bivariate data and scatterplots - Data collection and representation - Measures of center and spread - Probability calculations |
| Integrating Essential Skills | 20% | - Combining multiple skills in complex problems - Area, surface area, and volume calculations - Average and median calculations - Rates, percentages, and proportional relationships |
| Geometry | 20% | - Lines, angles, and planes - 3D shapes and volume - Trigonometry (sine, cosine, tangent) - Triangles (including right triangles) - Circles and circular sectors - Quilaterals and polygons - Coordinate geometry |
| Number & Quantity | 12% | - Vectors and matrices - Real and complex number systems - Quantities and units - Integer and rational exponents |
| Algebra | 20% | - Systems of equations - Rational and radical equations - Quadratic equations and inequalities - Linear equations and inequalities - Exponential relationships |
ACT American College Testing: Math Section Sample Questions:
1. If x 2 + 13 x = 90 and x > 0, what is the value of x ?
A) 10
B) 0
C) 5
D) -5
2. Given the following figure with one tangent and one secant drawn to the circle, what is the measure of
?
A) 25
B) 85
C) 60
D) 50
E) 110
3. The length of a rectangle is one greater than three times its width. If the perimeter of the rectangle is 26 feet, what is the area of the rectangle?
A) 13 ft 2
B) 78 ft 2
C) 24 ft 2
D) 100 ft 2
E) 30 ft 2
4. FILL BLANK
Find the measure of
5. In the diagram above, the length of a side of square ABCD is four units.
What is the area of the shaded region?
A) 16 - 4π
B) 16π
C) 4 - π
D) 4 - 4π
E) 4
Solutions:
| Question # 1 Answer: C | Question # 2 Answer: A | Question # 3 Answer: E | Question # 4 Answer: Only visible for members | Question # 5 Answer: C |
