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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Integrating Essential Skills | 40–43% | - Logical reasoning and estimation - Multi-step arithmetic and pre-algebra - Rates, averages, and unit conversion - Problem-solving in real-world contexts |
| Topic 2: Modeling | Integrated throughout | - Refine and evaluate model solutions - Create and interpret mathematical models - Apply models across all content domains |
| Topic 3: Preparing for Higher Math | 57–60% | - Geometry
|
ACT American College Testing: Math Section Sample Questions:
What is the degree measure of the acute angle formed by the hands of a 12-hour clock that reads exactly 1 o'clock?
- A. 72°
- B. 30°
- C. 45°
- D. 60°
- E. 15°
Correct Answer: B 🗳️
In the diagram above, ABCD is a square with an area of 100 cm 2 and lines BD and AC are the diagonals of ABCD.
If line EF is parallel to line BC and the length of line CF = 3√ 2 cm, which of the following is equal to the shaded area?
- A. 89 cm2
- B. 39 cm2
- C. 25 cm2
- D. 64 cm2
- E. 78 cm2
Correct Answer: B 🗳️
For what value of x is the equation 8/x = 6/12?
- A. 8
- B. 24
- C. 16
- D. 12
Correct Answer: C 🗳️
The fluctuation of water depth at a pier is shown in the figure below.
One of the following values gives the positive difference, in feet, between the greatest water depth and the least water depth shown in this graph.
Which value is it?
- A. 6
- B. 9
- C. 19
- D. 3
- E. 12
Correct Answer: A 🗳️
(4.8 × 10 -7 ) / (1.6 × 10 -11 )
- A. 3.0 × 10-18
- B. 3.0 × 10-4
- C. 3.2 × 104
- D. 3.0 × 104
- E. 3.2 × 1018
Correct Answer: D 🗳️
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