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ACT ACT-Math Exam Overview:
| Certification Vendor: | ACT (American College Testing) |
|---|---|
| Exam Name: | ACT Math Section |
| Exam Number: | ACT-Math |
| Exam Format: | Multiple Choice |
| Real Exam Qty: | 45 |
| Available Languages: | English |
| Related Certifications: | ACT Reading Section ACT Science Section (Optional) ACT Writing Section (Optional) ACT English Section |
| Certificate Validity Period: | Scores valid for college admission cycles |
| Exam Price: | $68 (Core: English, Math, Reading) |
| Passing Score: | Scaled score 1-36 |
| Exam Duration: | 50 minutes |
| Sample Questions: | ACT ACT-Math Sample Questions |
| Exam Way: | Paper-based or Computer-based testing at designated test centers |
| Pre Condition: | High school mathematics through Algebra II and Trigonometry |
| Official Syllabus URL: | https://www.act.org/content/act/en/products-and-services/the-act.html |
ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Statistics & Probability | 15% | - Bivariate data and scatterplots - Data collection and representation - Statistical inference - Measures of center and spread - Probability calculations |
| Topic 2: Integrating Essential Skills | 20% | - Rates, percentages, and proportional relationships - Average and median calculations - Combining multiple skills in complex problems - Area, surface area, and volume calculations |
| Topic 3: Algebra | 20% | - Quadratic equations and inequalities - Systems of equations - Exponential relationships - Rational and radical equations - Linear equations and inequalities |
| Topic 4: Number & Quantity | 12% | - Integer and rational exponents - Vectors and matrices - Real and complex number systems - Quantities and units |
| Topic 5: Geometry | 20% | - 3D shapes and volume - Lines, angles, and planes - Triangles (including right triangles) - Trigonometry (sine, cosine, tangent) - Circles and circular sectors - Quilaterals and polygons - Coordinate geometry |
| Topic 6: Functions | 20% | - Modeling with functions - Linear, quadratic, and polynomial functions - Function transformations - Function definition and notation - Exponential and logarithmic functions |
ACT American College Testing: Math Section Sample Questions:
Question 1
The expression
is equivalent to:
A. -5 / (2x - 7)
B. (x + 5) / (x + 7)
C. x + 5
D. (2x - 15) / (4x - 21)
E. 5/7
Question 2
If x 2 + 13 x = 90 and x > 0, what is the value of x ?
A. 10
B. 5
C. -5
D. 0
Question 3
A circle in the standard ( x , y ) coordinate plane has center C (-1, 2) and passes through A (2, 6). Line segment
is a diameter of this circle. What
are the coordinates of point B?
A. (-4, -2)
B. (4, 2)
C. (5, 10)
D. (-5, -1)
E. (-6, -2)
Question 4
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. 56
C. 70
D. 42
Question 5
FILL BLANK
If the distance from point (-2, m) to point (4, -1) is 10 units, what is the positive value of m?
Solutions:
| Question 1 Answer: B | Question 2 Answer: B | Question 3 Answer: A | Question 4 Answer: C | Question 5 Answer: Only visible for members |
By Lorraine
