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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| 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 |
| Number & Quantity | 12% | - Integer and rational exponents - Vectors and matrices - Quantities and units - Real and complex number systems |
| Algebra | 20% | - Quadratic equations and inequalities - Rational and radical equations - Systems of equations - Exponential relationships - Linear equations and inequalities |
| Statistics & Probability | 15% | - Bivariate data and scatterplots - Probability calculations - Measures of center and spread - Data collection and representation - Statistical inference |
| Geometry | 20% | - Trigonometry (sine, cosine, tangent) - Coordinate geometry - Triangles (including right triangles) - 3D shapes and volume - Lines, angles, and planes - Circles and circular sectors - Quilaterals and polygons |
| Functions | 20% | - Linear, quadratic, and polynomial functions - Function definition and notation - Function transformations - Exponential and logarithmic functions - Modeling with functions |
ACT American College Testing: Math Section Sample Questions:
Question 1
A book receives 30 reviews on Amazon as judged by a 5-star scale. Sixty percent gave the book 5 out of 5 Stars.
How many reviewers gave it this rating?
A. 12
B. 6
C. 18
D. 24
Question 2
FILL BLANK
In the diagram above, lines K and L are parallel, and lines M and N are parallel. If b = 8, then a = ____.
Question 3
One of the following graphs in the standard ( x , y ) coordinate plane is the graph of y = sin 2 x + cos 2 x over the domain -π/2 ≤ x ≤ π/2.
Which one?
A)
B)
C)
D)
E)
A. Option C
B. Option F
C. Option D
D. Option A
E. Option E
F. Option B
Question 4
If
anda and c are doubled, what happens to the value of d ?
A. The value of d is four times smaller.
B. The value of d is doubled.
C. The value of d is halved.
D. The value of d remains the same.
E. The value of d is four times greater.
Question 5
In the following equation, what is the value of x?
1/2x + 4 = 3/4x - 5
A. 9
B. 8
C. 27
D. 36
Solutions:
| Question 1 Answer: C | Question 2 Answer: Only visible for members | Question 3 Answer: A | Question 4 Answer: D | Question 5 Answer: D |


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