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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Number & Quantity | 12% | - Real and complex number systems - Quantities and units - Integer and rational exponents - Vectors and matrices |
| Statistics & Probability | 15% | - Data collection and representation - Probability calculations - Statistical inference - Measures of center and spread - Bivariate data and scatterplots |
| Algebra | 20% | - Quadratic equations and inequalities - Rational and radical equations - Systems of equations - Exponential relationships - Linear equations and inequalities |
| Functions | 20% | - Function definition and notation - Function transformations - Linear, quadratic, and polynomial functions - Exponential and logarithmic functions - Modeling with functions |
| Integrating Essential Skills | 20% | - Area, surface area, and volume calculations - Combining multiple skills in complex problems - Average and median calculations - Rates, percentages, and proportional relationships |
| Geometry | 20% | - Triangles (including right triangles) - 3D shapes and volume - Quilaterals and polygons - Coordinate geometry - Circles and circular sectors - Lines, angles, and planes - Trigonometry (sine, cosine, tangent) |
ACT American College Testing: Math Section Sample Questions:
1. A rectangle with a perimeter of 30 centimeters is twice as long as it is wide.
What is the area of the rectangle in square centimeters?
A) 200
B) 
C) 50
D) 
E) 15
2. FILL BLANK
If -6 b + 2 a - 25 = 5 and
, what is the value of
?
3. FILL BLANK
DeDe and Mike both run the length of a two-mile field. If DeDe runs 5 mph and Mike runs 6 mph, how many more minutes does it take DeDe to run the field?
4. For which of the following conditions will the sum of integers m and n always be an odd integer?
A) m and n are both odd integers.
B) m is an odd integer.
C) m is an odd integer and n is an even integer.
D) n is an odd integer.
E) m and n are both even integers.
5. 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) 
B) 175%
C) 250%
D) 124%
E) 112%
Solutions:
| Question # 1 Answer: C | Question # 2 Answer: Only visible for members | Question # 3 Answer: Only visible for members | Question # 4 Answer: C | Question # 5 Answer: A |
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