ATI TEAS 7
TEAS Practice Math Test Questions
Question 1 of 5
On a floor plan drawn at a scale of 1:100, the area of a rectangular room is 30 cm². What is the actual area of the room?
Correct Answer: D
Rationale: On a 1:100 scale drawing, each centimeter represents one meter. The area of the room in the scale drawing is 30 cm², which means the actual area is 30 m².
Choice A (30,000 cm²) is incorrect as it doesn't account for the scale conversion.
Choice B (300 m²) is incorrect because it multiplies the scale area directly by 10,000, which is not the correct conversion.
Choice C (3,000 m²) is also incorrect as it applies the scale factor incorrectly.
Question 2 of 5
Chan receives a bonus from his job. He pays 30% in taxes, donates 30% to charity, and uses another 25% to pay off an old debt. He has $600 remaining. What was the total amount of Chan's bonus?
Correct Answer: D
Rationale: Chan has used 30% + 30% + 25% = 85% of his bonus, which leaves 15% remaining. Since 15% of his bonus is $600, you can find the total bonus amount by dividing $600 by 15% (or multiplying by 100/15), which equals $4,000.
Therefore, the correct answer is $4,000. The other choices are incorrect because they do not accurately represent the total remaining amount after the specified deductions.
Question 3 of 5
A patient requires a 30% decrease in their medication dosage. Their current dosage is 340 mg. What will their dosage be after the decrease?
Correct Answer: B
Rationale:
To calculate a 30% decrease of 340 mg, multiply 340 by 0.30 to get 102. Subtracting 102 from 340 gives a new dosage of 238 mg.
Choice A (70 mg) is incorrect as it represents a 80% decrease, not 30%.
Choice C (270 mg) is incorrect as it does not reflect a decrease but rather the original dosage.
Choice D (340 mg) is incorrect as it is the original dosage and not reduced by 30%.
Question 4 of 5
Dr. Lee observed that 30% of all his patients developed an infection after taking a certain antibiotic. He further noticed that 5% of that 30% required hospitalization to recover from the infection. What percentage of Dr. Lee's patients were hospitalized after taking the antibiotic?
Correct Answer: A
Rationale:
To find the percentage of Dr. Lee's patients hospitalized after taking the antibiotic, we need to calculate 30% of 5%. First, convert 30% and 5% to decimals: 30% = 0.30 and 5% = 0.05. Multiply 0.30 by 0.05 to get 0.015.
To convert 0.015 to a percentage, multiply by 100, resulting in 1.5%.
Therefore, only 1.50% of Dr. Lee's patients were hospitalized after taking the antibiotic.
Choice A is correct.
Choice B (5%) is incorrect as it represents the percentage of patients who developed an infection and not those hospitalized.
Choices C (15%) and D (30%) are also incorrect percentages as they do not accurately reflect the proportion of hospitalized patients in this scenario.
Question 5 of 5
The table below shows the number of books checked out from a library over the course of 4 weeks. Which equation describes the relationship between the number of books (b) and weeks (w)?
Correct Answer: B
Rationale: The relationship between the number of books and weeks is best described by the equation b = 5w + 10. This is because the initial value of books checked out is 10, which indicates that even with 0 weeks, there are already 10 books checked out. The rate at which books are checked out per week is 5, as indicated by the coefficient of w.
Therefore, the correct equation should be b = 5w + 10.
Choices A, C, and D are incorrect because they do not represent the correct initial value or rate of increase for the given scenario.