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 |
|---|---|---|
| Topic 1: Algebra | 20% | - Linear equations and inequalities - Rational and radical equations - Exponential relationships - Quadratic equations and inequalities - Systems of equations |
| Topic 2: Integrating Essential Skills | 20% | - Combining multiple skills in complex problems - Average and median calculations - Rates, percentages, and proportional relationships - Area, surface area, and volume calculations |
| Topic 3: Statistics & Probability | 15% | - Statistical inference - Measures of center and spread - Data collection and representation - Probability calculations - Bivariate data and scatterplots |
| Topic 4: Geometry | 20% | - Trigonometry (sine, cosine, tangent) - Lines, angles, and planes - Circles and circular sectors - 3D shapes and volume - Quilaterals and polygons - Triangles (including right triangles) - Coordinate geometry |
| Topic 5: Number & Quantity | 12% | - Vectors and matrices - Real and complex number systems - Quantities and units - Integer and rational exponents |
| Topic 6: Functions | 20% | - Exponential and logarithmic functions - Linear, quadratic, and polynomial functions - Modeling with functions - Function definition and notation - Function transformations |
ACT American College Testing: Math Section Sample Questions:
FILL BLANK
There are 750 students in the auditorium for an assembly. When the assembly ends, the students begin to leave. If 32% of the students have left so far, how many students are still in the auditorium?
Correct Answer:
510
A box in the shape of a cube has an interior side length of 18 inches and is used to ship a right circular cylinder with a radius of 6 inches and a height of 1 2 inches. The interior of the box not occupied by the cylinder is filled with packing material.
Which of the following numerical expressions gives the number of cubic inches of the box filled with packing material?
- A. 18 3 - π(6) 2 (12)
- B. 18 3 - π(12) 3
- C. 6(18) 2 - 2π(6)(12)
- D. 18 3 - π(6)(12) 2
- E. 6(18) 2 - 2π(6)(12) - 2π(6) 2
Correct Answer: A 🗳️
In the diagram above, lines EF and GH are parallel, and line AB is perpendicular to lines EF and GH.
What is the length of line AB?
- A.
- B.
- C. 5
- D.
- E.
Correct Answer: B 🗳️
The Smith family is planning to build a 3-room cabin which consists of 2 bedrooms (BR) and 1 living room (LR). Shown below are the rectangular floor plan (left figure) and a side view of the cabin (right figure). In the side view, the roof forms an isosceles triangle (Δ ABC ), the walls are perpendicular to the level floor (
),
, F is the midpoint of
, and
.
During the week the Smiths plan to roof the cabin, there is 20% chance of rain each day.
Mr. and Mrs. Smith plan to roof the cabin on 2 consecutive days.
Assuming that the chance of rain is independent of the day, what is the probability that it will rain both days?
- A. 0.16
- B. 0.20
- C. 0.40
- D. 0.08
- E. 0.04
Correct Answer: E 🗳️
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