- Exam Code: ACT-Math
- Exam Name: ACT American College Testing: Math Section
- Certification Provider: ACT
- Corresponding Certification:ACT Mathematics Test
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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Statistics & Probability | 15% | - Data collection and representation - Statistical inference - Measures of center and spread - Probability calculations - Bivariate data and scatterplots |
| Integrating Essential Skills | 20% | - Area, surface area, and volume calculations - Rates, percentages, and proportional relationships - Average and median calculations - Combining multiple skills in complex problems |
| Number & Quantity | 12% | - Vectors and matrices - Quantities and units - Integer and rational exponents - Real and complex number systems |
| Geometry | 20% | - Triangles (including right triangles) - Coordinate geometry - Trigonometry (sine, cosine, tangent) - Lines, angles, and planes - Circles and circular sectors - Quilaterals and polygons - 3D shapes and volume |
| Functions | 20% | - Exponential and logarithmic functions - Linear, quadratic, and polynomial functions - Function definition and notation - Modeling with functions - Function transformations |
| Algebra | 20% | - Systems of equations - Quadratic equations and inequalities - Rational and radical equations - Exponential relationships - Linear equations and inequalities |
ACT American College Testing: Math Section Sample Questions:
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) 70
B) 42
C) 56
D) 28
2. FILL BLANK
DeDe and Mike both run the length of a two-mile field. If DeDe runs 5 mph and Mike runs 6 mph, how many more minutes does it take DeDe to run the field?
3. FILL BLANK
The length of a rectangular prism is four times the height of the prism and one-third the width of the prism. If the volume of the prism is 384 in3, what is the width of the prism?
4. The pie chart above shows the distribution of video rentals from Al's Video Vault for a single night.
If 250 videos were rented that night, how many more action movies were rented than horror movies?
A) 22
B) 10
C) 25
D) 20
E) 30
5. If
anda and c are doubled, what happens to the value of d ?
A) The value of d remains the same.
B) The value of d is doubled.
C) The value of d is halved.
D) The value of d is four times smaller.
E) The value of d is four times greater.
Solutions:
| Question # 1 Answer: A | Question # 2 Answer: Only visible for members | Question # 3 Answer: Only visible for members | Question # 4 Answer: C | Question # 5 Answer: A |
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