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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Statistics & Probability | 15% | - Probability calculations - Data collection and representation - Statistical inference - Measures of center and spread - Bivariate data and scatterplots |
| Functions | 20% | - Function definition and notation - Function transformations - Exponential and logarithmic functions - Modeling with functions - Linear, quadratic, and polynomial functions |
| Geometry | 20% | - Circles and circular sectors - Quilaterals and polygons - Coordinate geometry - Trigonometry (sine, cosine, tangent) - Lines, angles, and planes - Triangles (including right triangles) - 3D shapes and volume |
| Algebra | 20% | - Systems of equations - Linear equations and inequalities - Rational and radical equations - Exponential relationships - Quadratic equations and inequalities |
| Number & Quantity | 12% | - Real and complex number systems - Quantities and units - Vectors and matrices - Integer and rational exponents |
| Integrating Essential Skills | 20% | - Rates, percentages, and proportional relationships - Area, surface area, and volume calculations - Average and median calculations - Combining multiple skills in complex problems |
ACT American College Testing: Math Section Sample Questions:
1. Gil drives five times farther in 40 minutes than Warrick drives in 30 minutes.
If Gil drives 45 miles per hour, how fast does Warrick drive?
A) 1 2 mph
B) 15 mph
C) 30 mph
D) 9 mph
E) 6 mph
2. Drag and drop
is equivalent to:
A) 
B) 
C) 
D) 
E) 
3. The 35-member History Club is meeting to choose a student government representative. The members decide that the representative, who will be chosen at random, CANNOT be any of the 3 officers of the club.
What is the probability that Hiroko, who is a member of the club but NOT an officer, will be chosen?
A) 0
B) 1/35
C) 1/32
D) 4/35
E) 1/3
4. What is the period of the function f(x) = csc(4x)?
A) 2π
B) π/2
C) 4π
D) π
E) π/4
5. The scatter plot above shows how many eggs were found in a hunt over time.
Which of the labeled points represents a number of eggs found that is greater than the number of minutes that has elapsed?
A) E
B) B
C) D
D) C
E) A
Solutions:
| Question # 1 Answer: A | Question # 2 Answer: B | Question # 3 Answer: C | Question # 4 Answer: B | Question # 5 Answer: A |
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