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ACT ACT-Math Exam Syllabus Topics:

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

ACT American College Testing: Math Section Sample Questions:

Question 1

A circle in the standard ( x , y ) coordinate plane has center C (-1, 2) and passes through A (2, 6). Line segment

is a diameter of this circle. What
are the coordinates of point B?

A. (-4, -2)
B. (4, 2)
C. (-6, -2)
D. (5, 10)
E. (-5, -1)

Question 2

A banquet hall charges a base price of x dollars for one hour of rental time. A sales tax of a certain percentage is applied to the base price, and an untaxed deposit is added.
If the total amount is paid at the time of the purchase for one night is given by the expression 1.085x + 18, then what is the sales tax, expressed as a percentage of the base price?

A. 1.085%
B. 0.085%
C. 8.5%
D. 18%

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.

The length of the south side of the park is what percent of the length of the north side?

A. 112%
B. 124%
C. 175%
D.

E. 250%

Question 4

Toby wants to find the volume of a solid toy soldier. He fills a rectangular container 8 cm long, 6 cm wide, and 10 cm high with water to a depth of 4 cm. Toby totally submerges the toy soldier in the water. The height of the water with the submerged toy soldier is 6.6 cm.
Which of the following is closest to the volume, in cubic centimeters, of the toy soldier?

A. 156
B. 125
C. 317
D. 208
E. 192

Question 5

FILL BLANK
If

, then a = 3 when z = ___.