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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Geometry | 20% | - Trigonometry (sine, cosine, tangent) - 3D shapes and volume - Quilaterals and polygons - Triangles (including right triangles) - Coordinate geometry - Circles and circular sectors - Lines, angles, and planes |
| Algebra | 20% | - Linear equations and inequalities - Rational and radical equations - Quadratic equations and inequalities - Systems of equations - Exponential relationships |
| Statistics & Probability | 15% | - Bivariate data and scatterplots - Measures of center and spread - Data collection and representation - Probability calculations - Statistical inference |
| Functions | 20% | - Function definition and notation - Modeling with functions - Function transformations - Exponential and logarithmic functions - Linear, quadratic, and polynomial functions |
| Number & Quantity | 12% | - Quantities and units - Integer and rational exponents - Vectors and matrices - Real and complex number systems |
| Integrating Essential Skills | 20% | - Rates, percentages, and proportional relationships - Area, surface area, and volume calculations - Combining multiple skills in complex problems - Average and median calculations |
ACT American College Testing: Math Section Sample Questions:
1. It takes six people eight hours to stuff 10,000 envelopes.
How many people would be required to do the job in three hours?
A) 24
B) 4
C) 16
D) 12
E) 18
2. If 2(x - 14) = 22, then x = ___.
A) 30
B) 25
C) 35
D) 20
3. If m = 6, then the expression
is equal to:
A) 22.
B) -12.
C) 12.
D) 6.
E) -2.
4. FILL BLANK
In the circle above, the measure of
is
80º and the length of arc AB is 28πunits.
What is the radius of the circle?
5. If the height of a cylinder is doubled and the radius of the cylinder is halved, the volume of the cylinder:
A) becomes four times smaller.
B) becomes half as large.
C) becomes four times larger.
D) becomes twice as large.
E) remains the same.
Solutions:
| Question # 1 Answer: C | Question # 2 Answer: B | Question # 3 Answer: E | Question # 4 Answer: Only visible for members | Question # 5 Answer: B |
