ATI TEAS 7
TEAS Test Math Questions
1. What is the mode of the data set: 2, 3, 3, 4, 4, 4, 5?
- A. 2
- B. 3
- C. 4
- D. 5
Correct answer: C
Rationale: The mode of a data set is the value that appears most frequently. In this data set (2, 3, 3, 4, 4, 4, 5), the number 4 appears three times, which is more frequent than any other number in the set. Therefore, the correct answer is 4. Choice A (2), B (3), and D (5) do not appear as frequently as 4 in the data set, so they are not the mode.
2. What are all the factors of 12?
- A. 12, 24, 36
- B. 1, 2, 4, 6, 12
- C. 12, 24, 36, 48
- D. 1, 2, 3, 4, 6, 12
Correct answer: D
Rationale: The factors of 12 are numbers that divide evenly into 12 without leaving a remainder. The correct factors of 12 are 1, 2, 3, 4, 6, and 12. Choice A (12, 24, 36) is incorrect as only 12 is a factor of 12. Choice B (1, 2, 4, 6, 12) includes all the correct factors of 12. Choice C (12, 24, 36, 48) is incorrect as 24, 36, and 48 are not factors of 12.
3. Which of the following describes a proportional relationship?
- A. Johnathan opens a savings account with an initial deposit of $150 and deposits $125 per month
- B. Bruce pays his employees $12 per hour worked during the month of December, as well as a $250 bonus
- C. Alvin pays $28 per month for his phone service plus $0.07 for each long-distance minute used
- D. Kevin drives 65 miles per hour
Correct answer: A
Rationale: A proportional relationship is one in which two quantities vary directly with each other. In choice A, the amount deposited per month is directly proportional to the initial deposit. The relationship can be represented as y = 125x + 150, where x is the number of months and y is the total amount in the account. Choices B and C involve additional fixed amounts or variable costs that do not maintain a constant ratio, making them non-proportional relationships. Choice D refers to a constant speed of driving, which is not a proportional relationship as it does not involve varying quantities that change in direct proportion.
4. How many kilometers is 4382 feet?
- A. 1.336 kilometers
- B. 14.376 kilometers
- C. 1.437 kilometers
- D. 13.336 kilometers
Correct answer: A
Rationale: To convert feet to kilometers, you need to divide the number of feet by 3280.84 (the number of feet in a kilometer). Therefore, 4382 feet is equal to 4382/3280.84 ≈ 1.336 kilometers. Choice B, 14.376 kilometers, is incorrect as it seems to be a miscalculation. Choice C, 1.437 kilometers, is also incorrect, as it is slightly off from the correct conversion. Choice D, 13.336 kilometers, is significantly higher than the correct answer and does not align with the conversion factor.
5. Veronica decided to celebrate her promotion by purchasing a new car. The base price for the car was $40,210. She paid an additional $3,015 for a surround sound system and $5,218 for a maintenance package. What was the total price of Veronica’s new car?
- A. $50,210
- B. $48,443
- C. $43,225
- D. $40,210
Correct answer: B
Rationale: To find the total price of Veronica's new car, add the base price, the cost of the surround sound system, and the cost of the maintenance package. Calculation: $40,210 (base price) + $3,015 (sound system) + $5,218 (maintenance package) = $48,443. Therefore, the correct answer is $48,443. Choice A, $50,210, is incorrect as it does not include the maintenance package cost. Choice C, $43,225, is incorrect as it only considers the base price and the maintenance package but omits the sound system cost. Choice D, $40,210, is the base price alone and does not account for the additional costs of the sound system and maintenance package.
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