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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Geometry | 20% | - Lines, angles, and planes - Quilaterals and polygons - Trigonometry (sine, cosine, tangent) - Circles and circular sectors - Coordinate geometry - Triangles (including right triangles) - 3D shapes and volume |
| Topic 2: Functions | 20% | - Exponential and logarithmic functions - Modeling with functions - Linear, quadratic, and polynomial functions - Function definition and notation - Function transformations |
| Topic 3: Algebra | 20% | - Rational and radical equations - Linear equations and inequalities - Exponential relationships - Systems of equations - Quadratic equations and inequalities |
| Topic 4: Integrating Essential Skills | 20% | - Average and median calculations - Combining multiple skills in complex problems - Area, surface area, and volume calculations - Rates, percentages, and proportional relationships |
| Topic 5: Statistics & Probability | 15% | - Probability calculations - Statistical inference - Bivariate data and scatterplots - Data collection and representation - Measures of center and spread |
| Topic 6: Number & Quantity | 12% | - Vectors and matrices - Integer and rational exponents - Quantities and units - Real and complex number systems |
ACT American College Testing: Math Section Sample Questions:
1. In the standard (x, y) coordinate plane, what is the slope of the line given by the equation 4x = 7y + 5?
A) 4/7
B) 7/4
C) -4/7
D) 4
E) 7
2. FILL BLANK
There are 750 students in the auditorium for an assembly. When the assembly ends, the students begin to leave. If 32% of the students have left so far, how many students are still in the auditorium?
3. Based on the diagram above, which of the following is true?
A) e + f + g + h + i = 360
B) e + g + i = 180
C) g + i = h + e
D) i = e + f
E) e + i = e + h
4. Melissa runs the 50-yard dash five times, with times of 5.4 seconds, 5.6 seconds, 5.4 seconds, 6.3 seconds, and 5.3 seconds.
If she runs a sixth dash, which of the following would change the mean and mode of her scores, but not the median?
A) 5.4 seconds
B) 6.3 seconds
C) 5.3 seconds
D) 5.6 seconds
E) 5.5 seconds
5. FILL BLANK
In the diagram above, the radius of the circle is 20 units and the length of arc AB is 15π units.
What is the measure in degrees of
?
Solutions:
| Question # 1 Answer: A | Question # 2 Answer: Only visible for members | Question # 3 Answer: D | Question # 4 Answer: C | Question # 5 Answer: Only visible for members |
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Natalie 
Ira 
Odelia 
Kirk 
Evelyn 
Meroy 
Adela 
Felix 
Candice 
Burton 
Hilary 
Warner 
Vita 
