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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Integrating Essential Skills | 20% | - Combining multiple skills in complex problems - Average and median calculations - Area, surface area, and volume calculations - Rates, percentages, and proportional relationships |
| Topic 2: Geometry | 20% | - Coordinate geometry - Triangles (including right triangles) - Quilaterals and polygons - Lines, angles, and planes - Trigonometry (sine, cosine, tangent) - Circles and circular sectors - 3D shapes and volume |
| Topic 3: Algebra | 20% | - Exponential relationships - Linear equations and inequalities - Quadratic equations and inequalities - Systems of equations - Rational and radical equations |
| Topic 4: Number & Quantity | 12% | - Real and complex number systems - Quantities and units - Vectors and matrices - Integer and rational exponents |
| Topic 5: Statistics & Probability | 15% | - Bivariate data and scatterplots - Measures of center and spread - Data collection and representation - Probability calculations - Statistical inference |
| Topic 6: Functions | 20% | - Function definition and notation - Exponential and logarithmic functions - Modeling with functions - Function transformations - Linear, quadratic, and polynomial functions |
ACT American College Testing: Math Section Sample Questions:
Question #1
What is the perimeter, in feet, of a rectangle with width 10 feet and length 20 feet?
A. 60
B. 120
C. 90
D. 30
Question #2
The Smith family is planning to build a 3-room cabin which consists of 2 bedrooms (BR) and 1 living room (LR). Shown below are the rectangular floor plan (left figure) and a side view of the cabin (right figure). In the side view, the roof forms an isosceles triangle (ABC), the walls are perpendicular to the level floor (
),
, F is the midpoint of
, and
.
During the week the Smiths plan to roof the cabin, there is 20% chance of rain each day.
Mr, Smith plans to build a 3-foot-wide walkway around the outside of the cabin, as shown in the floor plan.
What will be the area, in square feet, of the top surface of the walkway?
A. 171
B. 396
C. 720
D. 324
E. 360
Question #3
FILL BLANK
For any whole number x > 0, how many elements are in the set that contains only the numbers that are multiples AND factors of x?
Question #4
For what value of x is the equation 22x + 7 = 215 true?
A. 44
B. 11
C. 16
D. 4
E. 2
Question #5
It takes six people eight hours to stuff 10,000 envelopes.
How many people would be required to do the job in three hours?
A. 18
B. 24
C. 16
D. 4
E. 12
Solutions:
| Question #1 Correct Answer: A | Question #2 Correct Answer: E | Question #3 Correct Answer: Only visible for members | Question #4 Correct Answer: D | Question #5 Correct Answer: C |







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