ACT ACT-Math Questions & Answers - in .pdf
- Vendor: ACT
- Exam Code: ACT-Math
- Exam Name: ACT American College Testing: Math Section
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- Vendor: ACT
- Exam Code: ACT-Math
- Exam Name: ACT American College Testing: Math Section
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ACT ACT-Math Exam Overview:
| Certification Vendor: | ACT (American College Testing) |
|---|---|
| Exam Name: | ACT Math Section |
| Exam Number: | ACT-Math |
| Certificate Validity Period: | Scores valid for college admission cycles |
| Real Exam Qty: | 45 |
| Passing Score: | Scaled score 1-36 |
| Exam Format: | Multiple Choice |
| Available Languages: | English |
| Related Certifications: | ACT Writing Section (Optional) ACT English Section ACT Reading Section ACT Science Section (Optional) |
| Exam Price: | $68 (Core: English, Math, Reading) |
| 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: Algebra | 20% | - Exponential relationships - Rational and radical equations - Linear equations and inequalities - Systems of equations - Quadratic equations and inequalities |
| Topic 2: Geometry | 20% | - Triangles (including right triangles) - Lines, angles, and planes - Quilaterals and polygons - Circles and circular sectors - Trigonometry (sine, cosine, tangent) - 3D shapes and volume - Coordinate geometry |
| Topic 3: Number & Quantity | 12% | - Vectors and matrices - Quantities and units - Real and complex number systems - Integer and rational exponents |
| Topic 4: Functions | 20% | - Function transformations - Modeling with functions - Exponential and logarithmic functions - Linear, quadratic, and polynomial functions - Function definition and notation |
| Topic 5: Statistics & Probability | 15% | - Bivariate data and scatterplots - Data collection and representation - Measures of center and spread - Probability calculations - Statistical inference |
| Topic 6: Integrating Essential Skills | 20% | - Area, surface area, and volume calculations - Combining multiple skills in complex problems - Rates, percentages, and proportional relationships - Average and median calculations |
ACT American College Testing: Math Section Sample Questions:
Question #1
In the diagram above, line OA is congruent to line OB.
What is the measure of arc CD?
A. 125º
B. 27.5º
C. 110º
D. 55º
E. 70º
Question #2
If f(x) = 8x 2 - 10x + 5, then f(-4) = ?
A. 50
B. -3
C. 173
D. -173
Question #3
For what value of x is the equation 8/x = 6/12?
A. 12
B. 16
C. 8
D. 24
Question #4
What is the tenth term of the sequence: 5, 15, 45, 135, ... ?
A. 5 10
B.
C. 5 × 3 9
D. (5 × 3) 9
E. 5 × 3 10
Question #5
A sack contains red, blue, and yellow marbles. The ratio of red marbles to blue marbles to yellow marbles is 3:4:8.
If there are 24 yellow marbles in the sack, how many total marbles are in the sack?
A. 48
B. 96
C. 72
D. 45
E. 144
Solutions:
| Question #1 Correct Answer: E | Question #2 Correct Answer: C | Question #3 Correct Answer: B | Question #4 Correct Answer: C | Question #5 Correct Answer: D |
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