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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Functions | 20% | - Modeling with functions - Function definition and notation - Linear, quadratic, and polynomial functions - Function transformations - Exponential and logarithmic functions |
| Number & Quantity | 12% | - Quantities and units - Vectors and matrices - Integer and rational exponents - Real and complex number systems |
| Algebra | 20% | - Systems of equations - Quadratic equations and inequalities - Rational and radical equations - Linear equations and inequalities - Exponential relationships |
| Geometry | 20% | - Circles and circular sectors - Quilaterals and polygons - Lines, angles, and planes - 3D shapes and volume - Trigonometry (sine, cosine, tangent) - Coordinate geometry - Triangles (including right triangles) |
| Statistics & Probability | 15% | - Probability calculations - Statistical inference - Measures of center and spread - Bivariate data and scatterplots - Data collection and representation |
| Integrating Essential Skills | 20% | - Average and median calculations - Area, surface area, and volume calculations - Rates, percentages, and proportional relationships - Combining multiple skills in complex problems |
ACT American College Testing: Math Section Sample Questions:
1. Rob has six songs on his portable music player.
How many different four-song orderings can Rob create?
A) 120
B) 60
C) 30
D) 360
E) 720
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) 18%
C) 8.5%
D) 0.085%
3. ABC Cabs and Tary Taxicabs both have an initial fare of a whole number of dollars for 1 passenger. The fare increases a whole number of dollars at each whole number of miles traveled. The graphs below show the 1-passenger fares, in dollars, for both cab companies for trips up to 6 miles.
When the fares of the 2 cab companies are compared, what is the cheaper fare for a 5-mile trip?
A) $12
B) $9
C) $11
D) $10
E) $8
4. In parallelogram ABCD below,
is a diagonal, the measure of
is 40°, and the
measure of
is
57°.
What is the measure of
?
A) 77°
B) 40°
C) 97°
D) 57°
E) 83°
5. If
, then a = ___.
A) 
B) 
C) 5
D) 
E) 6
Solutions:
| Question # 1 Answer: D | Question # 2 Answer: C | Question # 3 Answer: B | Question # 4 Answer: E | Question # 5 Answer: D |
