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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Statistics & Probability | 15% | - Statistical inference - Probability calculations - Bivariate data and scatterplots - Measures of center and spread - Data collection and representation |
| Geometry | 20% | - Triangles (including right triangles) - Trigonometry (sine, cosine, tangent) - Circles and circular sectors - Quilaterals and polygons - Lines, angles, and planes - 3D shapes and volume - Coordinate geometry |
| Algebra | 20% | - Rational and radical equations - Systems of equations - Linear equations and inequalities - Quadratic equations and inequalities - Exponential relationships |
| Integrating Essential Skills | 20% | - Average and median calculations - Rates, percentages, and proportional relationships - Combining multiple skills in complex problems - Area, surface area, and volume calculations |
| Number & Quantity | 12% | - Integer and rational exponents - Vectors and matrices - Quantities and units - Real and complex number systems |
| Functions | 20% | - Function definition and notation - Linear, quadratic, and polynomial functions - Function transformations - Modeling with functions - Exponential and logarithmic functions |
ACT American College Testing: Math Section Sample Questions:
1. In the diagram above, what is the area of the rectangle?
A) 12ab square units
B) 9b 2 square units
C) 8ab square units
D) 16b square units
E) 6ab square units
2. Toby wants to find the volume of a solid toy soldier. He fills a rectangular container 8 cm long, 6 cm wide, and 10 cm high with water to a depth of 4 cm. Toby totally submerges the toy soldier in the water. The height of the water with the submerged toy soldier is 6.6 cm.
Which of the following is closest to the volume, in cubic centimeters, of the toy soldier?
A) 317
B) 156
C) 125
D) 192
E) 208
3. If y = -6, what is the value of (y3 - 40) / (y - 2)?
A) 0
B) 64
C) -32
D) 32
4. If 30% of r is equal to 75% of s, what is 50% of s if r = 30?
A) 9
B) 12
C) 4.5
D) 6
E) 15
5. If
, then when a = 8, b could be equal to:
A) 8
B) 6
C) 7
D) 4
E) -2
Solutions:
| Question # 1 Answer: C | Question # 2 Answer: C | Question # 3 Answer: D | Question # 4 Answer: D | Question # 5 Answer: B |
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