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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Integrating Essential Skills | 40–43% | - Logical reasoning and estimation - Rates, averages, and unit conversion - Problem-solving in real-world contexts - Multi-step arithmetic and pre-algebra |
| Topic 2: Modeling | Integrated throughout | - Create and interpret mathematical models - Apply models across all content domains - Refine and evaluate model solutions |
| Topic 3: Preparing for Higher Math | 57–60% | - Functions
|
ACT American College Testing: Math Section Sample Questions:
1. 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) 60°
B) 45°
C) 72°
D) 15°
E) 30°
2. The number of bonus points, B(p), a credit card holder receives is given by the function B(p) = 4p + 2, where p represents the number of purchases made.
If the number of purchases is increased by 8, by how much does the number of bonus points increase?
A) 4
B) 32
C) 8
D) 64
3. If
and
,
___.
A) x/y + x.
B) x/y + y.
C) x/y + 1.
D) y2 + x.
E) 2xy
4. Toby wants to find the volume of a solid toy soldier. He fills a rectangular container 8 cm long, 6 cm wide, and 10 cm high with water to a depth of 4 cm. Toby totally submerges the toy soldier in the water. The height of the water with the submerged toy soldier is 6.6 cm.
Which of the following is closest to the volume, in cubic centimeters, of the toy soldier?
A) 317
B) 156
C) 192
D) 208
E) 125
5. If the statement "No penguins live at the North Pole" is true, which of the following statements must also be true?
A) If Flipper is not a penguin, then he lives at the North Pole.
B) If Flipper is not a penguin, then he does not live at the North Pole.
C) If Flipper does not live at the North Pole, then he is a penguin.
D) If Flipper lives at the North Pole, then he is not a penguin.
E) All penguins live at the South Pole.
Solutions:
| Question # 1 Answer: E | Question # 2 Answer: B | Question # 3 Answer: A | Question # 4 Answer: E | Question # 5 Answer: D |
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