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ACT ACT-Math Exam Syllabus Topics:

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

ACT American College Testing: Math Section Sample Questions:

Question #1

In the diagram above,

is
congruent to

, and

is congruent to

.

If the ratio of the length of AB to the length of EB is 5:1, and the area of triangle BED = 5 a 2 + 10, what is area of triangle ABC?

A. 125a 2 + 250
B. 25a 2 + 50
C. 5a 2 + 10
D. Cannot be determined.
E. 25a 2 + 100

Reveal Solution Discussion 0

Correct Answer: A 🗳️

Question #2

If 30% of r is equal to 75% of s, what is 50% of s if r = 30?

A. 4.5
B. 9
C. 12
D. 15
E. 6

Reveal Solution Discussion 0

Correct Answer: E 🗳️

Question #3

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. Mikea's proposal includes installing a fence on the perimeter of the park.

What is the perimeter, in feet, of the park?