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ACT ACT-Math Exam Syllabus Topics:

Section	Weight	Objectives
Topic 1: Statistics & Probability	15%	- Data collection and representation - Bivariate data and scatterplots - Statistical inference - Probability calculations - Measures of center and spread
Topic 2: Algebra	20%	- Linear equations and inequalities - Systems of equations - Quadratic equations and inequalities - Exponential relationships - Rational and radical equations
Topic 3: Integrating Essential Skills	20%	- Average and median calculations - Area, surface area, and volume calculations - Combining multiple skills in complex problems - Rates, percentages, and proportional relationships
Topic 4: Geometry	20%	- Trigonometry (sine, cosine, tangent) - Coordinate geometry - 3D shapes and volume - Circles and circular sectors - Triangles (including right triangles) - Quilaterals and polygons - Lines, angles, and planes
Topic 5: Number & Quantity	12%	- Integer and rational exponents - Vectors and matrices - Real and complex number systems - Quantities and units
Topic 6: Functions	20%	- Function definition and notation - Function transformations - Exponential and logarithmic functions - Modeling with functions - Linear, quadratic, and polynomial functions

ACT American College Testing: Math Section Sample Questions:

Question 1

Mikea, an intern with the Parks and Recreation Department, is developing a proposal for the new a trapezoidal Springdale Park. The figure below shows her scale drawing of the proposed park with 3 side lengths and radius of the merry-go-round given in inches. In Mikea's scale drawing, 1 inch represents
1.5 feet.

What is the area, in square inches, of the scale drawing of the park?

A. 672
B. 640
C. 448
D. 1,088
E. 544

Question 2

The number a is located at -2.5 on the number line below

One of the following number lines shows the location of a2.
Which number line is it?
A)

B)

C)

D)

E)

A. Option A
B. Option D
C. Option B
D. Option C
E. Option E

Question 3

Greg has nine paintings. The Hickory Museum has enough space to display three of them.
From how many different sets of three paintings does Greg have to choose?

A. 84
B. 504
C. 168
D. 56
E. 27

Question 4

In the diagram above, line AB is parallel to line CD, both lines are tangents to circle O and the diameter of circle O is equal in measure to the length of line OH.

If the diameter of circle O is 24 in, what is the measure of

?