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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Integrating Essential Skills | 40–43% | - Problem-solving in real-world contexts - Logical reasoning and estimation - Rates, averages, and unit conversion - 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:
Question 1
A 12-piece chicken meal is ordered at a local KFC, but the family ordering has decided it will give the four chicken breasts included to a homeless person.
What are the chances one of the remaining pieces is a drumstick?
A. 1/16
B. 1/12
C. 1/8
D. 1/10
Question 2
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 ( ΔABC ), 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.
Mrs. Smith will install a ceiling fan in each room of the cabin and will place curtains over the 4 windows. Each of the ceiling fans has a price of $52.00. The price of curtains for each small window (S) is $39.50, and the price of curtains for the large window (L) is twice that for the small window.
Based on this information, which of the following values is closest to the total price Mrs. Smith will pay for curtains and ceiling fans?
A. $393
B. $262
C. $341
D. $354
E. $302
Question 3
If 3x - 1 = 11, what is the value of 3x + 1?
A. 11
B. 12
C. 10
D. 13
Question 4
If
anda and c are doubled, what happens to the value of d ?
A. The value of d is doubled.
B. The value of d is halved.
C. The value of d remains the same.
D. The value of d is four times smaller.
E. The value of d is four times greater.
Question 5
The average of five consecutive odd integers is -21.
What is the least of these integers?
A. -25
B. -23
C. -19
D. -17
E. -21
Solutions:
| Question 1 Answer: C | Question 2 Answer: D | Question 3 Answer: D | Question 4 Answer: C | Question 5 Answer: A |
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