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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 - Rates, percentages, and proportional relationships - Area, surface area, and volume calculations |
| Topic 2: Functions | 20% | - Linear, quadratic, and polynomial functions - Function definition and notation - Function transformations - Modeling with functions - Exponential and logarithmic functions |
| Topic 3: Geometry | 20% | - Circles and circular sectors - Trigonometry (sine, cosine, tangent) - Coordinate geometry - 3D shapes and volume - Quilaterals and polygons - Lines, angles, and planes - Triangles (including right triangles) |
| Topic 4: Statistics & Probability | 15% | - Data collection and representation - Probability calculations - Bivariate data and scatterplots - Statistical inference - Measures of center and spread |
| Topic 5: Algebra | 20% | - Quadratic equations and inequalities - Rational and radical equations - Linear equations and inequalities - Systems of equations - Exponential relationships |
| Topic 6: Number & Quantity | 12% | - Quantities and units - Vectors and matrices - Integer and rational exponents - Real and complex number systems |
ACT American College Testing: Math Section Sample Questions:
1. FILL BLANK
In Marie's fish tank, the ratio of guppies to platies is 4:5. She adds nine guppies to her fish tank and the ratio of guppies to platies becomes 5:4.
How many guppies are in the fish tank now?
2. The expression
is equivalent to:
A)
B)
C)
D)
E) 
3. The average of five consecutive odd integers is -21.
What is the least of these integers?
A) -19
B) -25
C) -21
D) -23
E) -17
4. The product of
:
A) a
B) 1/a
C) a4/b4
D) a3/b4
E) a5/b4
5. FILL BLANK
The graph above shows the sales by month for the Greenvale and Smithtown branches of SuperBooks. From January through May, how much more money did the Smithtown branch gross in sales than the Greenvale branch?
Solutions:
| Question # 1 Answer: Only visible for members | Question # 2 Answer: A | Question # 3 Answer: B | Question # 4 Answer: E | Question # 5 Answer: Only visible for members |



