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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Geometry | 20% | - Triangles (including right triangles) - Trigonometry (sine, cosine, tangent) - Coordinate geometry - Circles and circular sectors - Lines, angles, and planes - Quilaterals and polygons - 3D shapes and volume |
| Topic 2: Algebra | 20% | - Exponential relationships - Linear equations and inequalities - Quadratic equations and inequalities - Systems of equations - Rational and radical equations |
| Topic 3: Functions | 20% | - Function definition and notation - Linear, quadratic, and polynomial functions - Function transformations - Exponential and logarithmic functions - Modeling with functions |
| Topic 4: Statistics & Probability | 15% | - Bivariate data and scatterplots - Statistical inference - Probability calculations - Measures of center and spread - Data collection and representation |
| Topic 5: Integrating Essential Skills | 20% | - Area, surface area, and volume calculations - Combining multiple skills in complex problems - Average and median calculations - Rates, percentages, and proportional relationships |
| Topic 6: Number & Quantity | 12% | - Real and complex number systems - Vectors and matrices - Integer and rational exponents - Quantities and units |
ACT American College Testing: Math Section Sample Questions:
Question 1
The lengths of the 2 legs of right triangle ABC shown below are given in inches.
The midpoint of
is how many inches
from A?
A. 40
B. 20
C. 28
D. 16
E. 21
Question 2
If n = 8 and 16 × 2 m = 4 n - 8 , then m = ___.
A. 1
B. 8
C. 0
D. -4
E. -2
Question 3
In the diagram above, line AB is parallel to line CD,
measures 140º and
measures 55º.
What is the measure of
?
A. 55º
B. 95º
C. 40º
D. 135º
E. 85º
Question 4
A rectangle with a perimeter of 30 centimeters is twice as long as it is wide.
What is the area of the rectangle in square centimeters?
A. 40
B. 20
C. 50
D. 30
Question 5
If
and
,
___.
A. x/y + x.
B. x/y + y.
C. 2xy
D. y2 + x.
E. x/y + 1.
Solutions:
| Question 1 Answer: B | Question 2 Answer: D | Question 3 Answer: E | Question 4 Answer: C | Question 5 Answer: A |


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