ATI TEAS 7
Practice Math TEAS TEST
1. What is the area of a square that measures 3.1m on each side?
- A. 12.4m²
- B. 9.61m²
- C. 6.2m²
- D. 9.1m²
Correct answer: B
Rationale: To find the area of a square, you square the length of one side. In this case, the side length is 3.1m. So, Area = side² = 3.1m × 3.1m = 9.61m². Therefore, the correct answer is 9.61m². Choice A (12.4m²) is incorrect as it is the result of multiplying 3.1m by 4 instead of squaring it. Choice C (6.2m²) is incorrect as it is half of the correct answer. Choice D (9.1m²) is incorrect as it is the result of squaring the wrong value (3.1²).
2. A rectangular field has an area of 1452 square feet. If the length is three times the width, what is the width of the field?
- A. 22 feet
- B. 44 feet
- C. 242 feet
- D. 1452 feet
Correct answer: A
Rationale: To find the width of the rectangular field, use the formula for the area of a rectangle: A = length × width. Given that the length is three times the width, you have A = 3w × w. Substituting the given area, 1452 = 3w^2. Solving for w, you get 484 = w^2. Taking the square root gives ±22, but since the width must be positive, the width of the field is 22 feet. Choice B, 44 feet, is incorrect because it represents the length, not the width. Choice C, 242 feet, is incorrect as it is not a factor of the area. Choice D, 1452 feet, is incorrect as it represents the total area of the field, not the width.
3. Which decimal is the smallest?
- A. 2.22
- B. 2.02
- C. 2.002
- D. 2.2
Correct answer: C
Rationale: To determine the smallest decimal, we look at the digits after the decimal point. In this case, 2.002 is the smallest because it has the least value in the thousandths place. Choice A, 2.22, has a higher value in the hundredths place making it larger. Choice B, 2.02, has a higher value in the hundredths place compared to 2.002. Choice D, 2.2, is larger than 2.002 as it has a higher value in the tenths place.
4. In a class of 30 students, with 60% boys and 40% girls, how many girls are in the class?
- A. 18 girls
- B. 12 girls
- C. 15 girls
- D. 10 girls
Correct answer: B
Rationale: To find the number of girls in the class, we need to calculate 40% of the total number of students, which is 30. 40% of 30 is 0.40 * 30 = 12 girls. Therefore, there are 12 girls in the class. Choice A, 18 girls, is incorrect as it miscalculates the percentage. Choice C, 15 girls, is incorrect as it misrepresents the correct calculation. Choice D, 10 girls, is incorrect as it underestimates the number of girls in the class.
5. A taxi service charges $50 for the first mile, $50 for each additional mile, and 20¢ per minute of waiting time. Joan took a cab from her place to a flower shop 8 miles away, where she bought a bouquet, then another 6 miles to her mother's place. The driver had to wait 9 minutes while she bought the bouquet. What was the fare?
- A. $650
- B. $710
- C. $701.80
- D. $650
Correct answer: C
Rationale: To calculate the fare, first, determine the cost for the distance traveled. Joan traveled a total of 14 miles (8 miles to the flower shop + 6 miles to her mother's place). The first mile costs $50, and the remaining 13 miles cost $50 each, totaling $700 for the distance. Additionally, the driver waited for 9 minutes, which incurs an additional cost of $1.80 (9 minutes x $0.20 per minute). Therefore, the total fare is calculated as: Cost for distance + Cost for waiting time = $50 + $650 + $1.80 = $701.80. Choice A, $650, is incorrect as it does not consider the waiting time cost. Choice B, $710, is incorrect as it does not accurately calculate the total fare. Choice D, $650, is incorrect for the same reason as Choice A. The correct total fare is $701.80.
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