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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Number & Quantity | 12% | - Quantities and units - Vectors and matrices - Integer and rational exponents - Real and complex number systems |
| Topic 2: Algebra | 20% | - Systems of equations - Exponential relationships - Quadratic equations and inequalities - Rational and radical equations - Linear equations and inequalities |
| Topic 3: Integrating Essential Skills | 20% | - Area, surface area, and volume calculations - Average and median calculations - Rates, percentages, and proportional relationships - Combining multiple skills in complex problems |
| Topic 4: Statistics & Probability | 15% | - Data collection and representation - Probability calculations - Statistical inference - Bivariate data and scatterplots - Measures of center and spread |
| Topic 5: Functions | 20% | - Function transformations - Modeling with functions - Function definition and notation - Exponential and logarithmic functions - Linear, quadratic, and polynomial functions |
| Topic 6: Geometry | 20% | - Lines, angles, and planes - Coordinate geometry - Trigonometry (sine, cosine, tangent) - Circles and circular sectors - Quilaterals and polygons - 3D shapes and volume - Triangles (including right triangles) |
ACT American College Testing: Math Section Sample Questions:
Question 1
Armin is trying to decide whether to buy a season pass to his college basketball team's 20 home games this season. The cost of an individual ticket is $14, and the cost of a season pass is $175. The season pass will admit Armin to any home basketball game at no additional cost.
What is the minimum number of home basketball games Armin must attend this season in order for the cost of a season pass to be less than the total cost of buying an individual ticket for each game he attends?
A. 20
B. 9
C. 8
D. 13
E. 12
Question 2
In the diagram above, lines NO and PQ are parallel to each other and perpendicular to lines JK and LM. Line JK is parallel to line LM. If
is 70º, what is the measure of
?
A. 110º
B. 20º
C. 70º
D. 90º
E. 10º
Question 3
Greg has nine paintings. The Hickory Museum has enough space to display three of them.
From how many different sets of three paintings does Greg have to choose?
A. 168
B. 504
C. 84
D. 27
E. 56
Question 4
A circle has a circumference of 16π feet.
What is the radius of the circle, in feet?
A.
B. 4
C. 16
D. 8
E. 32
Question 5
FILL BLANK
Stephanie buys almonds at the grocery store for $1.00 per pound. If she buys 4 pounds of almonds and pays a 5% tax on her purchase, what is Stephanie's total bill?
Solutions:
| Question 1 Answer: D | Question 2 Answer: B | Question 3 Answer: C | Question 4 Answer: D | Question 5 Answer: Only visible for members |
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