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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Integrating Essential Skills | 20% | - Rates, percentages, and proportional relationships - Area, surface area, and volume calculations - Combining multiple skills in complex problems - Average and median calculations |
| Topic 2: Statistics & Probability | 15% | - Bivariate data and scatterplots - Data collection and representation - Measures of center and spread - Probability calculations - Statistical inference |
| Topic 3: Number & Quantity | 12% | - Real and complex number systems - Vectors and matrices - Integer and rational exponents - Quantities and units |
| Topic 4: Geometry | 20% | - 3D shapes and volume - Circles and circular sectors - Lines, angles, and planes - Trigonometry (sine, cosine, tangent) - Coordinate geometry - Quilaterals and polygons - Triangles (including right triangles) |
| Topic 5: Algebra | 20% | - Exponential relationships - Linear equations and inequalities - Quadratic equations and inequalities - Systems of equations - Rational and radical equations |
| Topic 6: Functions | 20% | - Linear, quadratic, and polynomial functions - Exponential and logarithmic functions - Function transformations - Function definition and notation - Modeling with functions |
ACT American College Testing: Math Section Sample Questions:
Question 1
A building built on a level field casts a shadow seven feet long and stands 35 feet tall. A nearby building casts a shadow 14 feet long.
How tall is the building?
A. 28
B. 70
C. 56
D. 42
Question 2
In the diagram above, side OB
side OC.
Which of the following is the measure of minor arc BC?
A. 27.5º
B. 45º
C. 110º
D. 55º
E. 70º
Question 3
In the following equation, what is the value of x?
1/2x + 4 = 3/4x - 5
A. 8
B. 36
C. 9
D. 27
Question 4
Which of the following is true?
A. Zero is the smallest prime number.
B. Zero is a negative number.
C. The largest factor of 4 2 is 14.
D. The sum of a positive number and its correlating negative is always zero.
Question 5
A company offers early bird pricing of $15 on a new product if there are 10 or fewer orders. The price goes down to $12.50 if it is ordered by more than 10. Twenty ends up ordering at the $15 amount.
How much does the company end up offering as rebate?
A. $100
B. $50
C. $75
D. $25
Solutions:
| Question 1 Answer: B | Question 2 Answer: E | Question 3 Answer: B | Question 4 Answer: D | Question 5 Answer: B |
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