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ACT ACT-Math Exam Syllabus Topics:

Section

Weight

Objectives

Integrating Essential Skills

40–43%

- Problem Solving

1. Multi-step word problems
2. Applied reasoning with arithmetic and algebra

- Graphical Interpretation

1. Reading and analyzing graphs and charts

- Mathematical Modeling

1. Translating real-world problems into equations
2. Interpreting algebraic and graphical representations

Preparing for Higher Math

57–60%

- Number & Quantity

1. Real and complex number systems
2. Vectors and matrices (basic concepts)

- Statistics & Probability

1. Data interpretation
2. Descriptive statistics (mean, median, mode)
3. Probability fundamentals

- Functions

1. Domain and range
2. Function notation and evaluation
3. Linear, quadratic, and piecewise functions

- Geometry

1. Plane geometry (triangles, circles, polygons)
2. Coordinate geometry
3. Transformations and symmetry

- Algebra

1. Quadratic expressions and functions
2. Polynomials and factoring
3. Linear equations and inequalities

ACT American College Testing: Math Section Sample Questions:

1. In the diagram above, if line AB is parallel to line CD, and line EF is perpendicular to lines AB and CD, all of the following are true EXCEPT:

A) a + h + f = b + g + d.
B) a + h = g.
C) e = a + b + 90.
D) a + b + d = 90.
E) c + b = g.

2. Which of the following expressions, when evaluated, equals an irrational number?

A)

B)

C)

D)

E)

3. In the diagram above, if

measures 110º, what is the
measure of arc AC?

A) Cannot be determined.
B) 20º
C) 40º
D) 55º
E) 80º

4. In Cherokee County, the fine for speeding is $17 for each mile per hour the driver is traveling over the posted speed limit. In Cherokee County, Kirk was fined $221 for speeding on a road with a posted speed limit of 30 mph.
Kirk was fined for traveling at what speed, in miles per hour?

A) 43
B) 60
C) 13
D) 17
E) 47

5. The scatterplot above shows the speeds of different runners over time.

Which of the following could be the equation of the line of best fit?