ATI TEAS 7
Math Practice TEAS Test
1. How many quarts are in 1 liter?
- A. 1 quart
- B. 1.06 quarts
- C. 2 quarts
- D. 0.5 quarts
Correct answer: B
Rationale: To convert liters to quarts, you can use the conversion factor 1 liter ≈ 1.06 quarts. Therefore, 1 liter is approximately 1.06 quarts. Choice A is incorrect because 1 quart is not equivalent to 1 liter. Choice C is incorrect as 2 quarts is more than 1 liter. Choice D is incorrect as 0.5 quarts is half of 1 liter.
2. What is the result when the number 1 is raised to ANY power?
- A. One
- B. Itself
- C. Zero
- D. Two
Correct answer: A
Rationale: The correct answer is A: 'One.' When the number 1 is raised to any power, the result is always 1. This is a fundamental mathematical property where any number raised to the power of 0 equals 1. Choices B, C, and D are incorrect. Choice B 'Itself' is vague and does not provide a clear mathematical result. Choice C 'Zero' is incorrect as 1 raised to any power is not zero. Choice D 'Two' is incorrect as the result of raising 1 to any power is always 1, not 2.
3. The owner of a newspaper has noticed that print subscriptions have gone down 40% while online subscriptions have gone up 60%. Print subscriptions once accounted for 70% of the newspaper’s business, and online subscriptions accounted for 25%. What is the overall percentage growth or decline in business?
- A. 13% decline
- B. 15% decline
- C. 28% growth
- D. 8% growth
Correct answer: A
Rationale: To calculate the decline in business, start with the 40% decline in the 70% share of print subscriptions: 40% of 70% = 0.40 × 0.70 = 0.28 = 28% decline. Next, calculate the growth from the 60% increase in the 25% share of online subscriptions: 60% of 25% = 0.60 × 0.25 = 0.15 = 15% growth. To find the overall change, sum the decline and growth percentages: 28% decline + 15% growth = -0.28 + 0.15 = -0.13 = 13% decline. Therefore, the overall percentage change in the newspaper's business is a 13% decline. Option A is the correct answer. Option B is incorrect because it doesn't consider the correct calculations for both the decline and growth. Option C is incorrect as it misinterprets the net change in business. Option D is incorrect as it miscalculates the overall percentage growth or decline.
4. Identify the positioning of decimal places after the decimal point in this number: 0.08573
- A. 0 in the first decimal place
- B. 8 in the first decimal place
- C. 5 in the second decimal place
- D. 3 in the third decimal place
Correct answer: C
Rationale: In the number 0.08573, the digits are positioned after the decimal point as follows: 0.08573. The correct answer is '5 in the second decimal place' because 5 is the second digit after the decimal point. Choice A is incorrect as there is no '0' after the decimal point. Choice B is incorrect as '8' is the first digit after the decimal point. Choice D is incorrect as '3' is the fourth digit after the decimal point.
5. Jeremy put a heavy chalk mark on the tire of his bicycle. His bike tire is 27 inches in diameter. When he rolled the bike, the chalk left marks on the sidewalk. Which expression can be used to best determine the distance, in inches, the bike rolled from the first mark to the fourth mark?
- A. 3(27π)
- B. 4π(27)
- C. (27 ÷ 3)π
- D. (27 ÷ 4)π
Correct answer: A
Rationale: The distance traveled by the bike in one complete roll of the tire is equal to the circumference, which can be calculated using the formula C = πd, where d is the diameter. Given that the diameter of the bike tire is 27 inches, the circumference is obtained by multiplying the diameter by π. As the tire rolls from the first mark to the fourth mark, it completes three full rotations (one complete roll plus two more). Therefore, the total distance rolled is 3 times the circumference, which results in 3(27π). Choice A is correct. Choice B is incorrect as it incorrectly multiplies the diameter by 4π instead of multiplying the circumference by 4. Choices C and D are incorrect as they involve dividing the diameter by a number, which is not applicable in this context.
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