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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Algebra | 20% | - Exponential relationships - Systems of equations - Rational and radical equations - Quadratic equations and inequalities - Linear equations and inequalities |
| Topic 2: Functions | 20% | - Exponential and logarithmic functions - Linear, quadratic, and polynomial functions - Function definition and notation - Function transformations - Modeling with functions |
| Topic 3: Geometry | 20% | - Triangles (including right triangles) - 3D shapes and volume - Trigonometry (sine, cosine, tangent) - Quilaterals and polygons - Circles and circular sectors - Coordinate geometry - Lines, angles, and planes |
| Topic 4: Integrating Essential Skills | 20% | - Average and median calculations - Rates, percentages, and proportional relationships - Area, surface area, and volume calculations - Combining multiple skills in complex problems |
| Topic 5: Number & Quantity | 12% | - Integer and rational exponents - Vectors and matrices - Real and complex number systems - Quantities and units |
| Topic 6: Statistics & Probability | 15% | - Measures of center and spread - Statistical inference - Probability calculations - Data collection and representation - Bivariate data and scatterplots |
ACT American College Testing: Math Section Sample Questions:
In the diagram above, ABDE is a square and BCD is an equilateral triangle.
If FC = 6√3 cm, what is the perimeter of ABCDE?
- A.
cm - B.
cm - C.
cm - D. 60 cm
- E. 84 cm
Correct Answer: D 🗳️
FILL BLANK
In Marie's fish tank, the ratio of guppies to platies is 4:5. She adds nine guppies to her fish tank and the ratio of guppies to platies becomes 5:4.
How many guppies are in the fish tank now?
Correct Answer:
25
Which of the following expressions is equivalent to x2/3?
- A.
- B.
- C.
- D.
- E.
Correct Answer: C 🗳️
What is the greatest common factor of 52, 156, and 260?
- A. 4
- B. 18
- C. 52
- D. 36
Correct Answer: C 🗳️
The point (2, 1) is the midpoint of a line with endpoints at (-5, 3) and:
- A. (-7, 2)
- B. (-3, 4)
- C. (9, -1)
- D. (-10, 3)
- E. (7, 1)
Correct Answer: C 🗳️
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