ATI TEAS 7
Math Practice TEAS Test
1. Margery plans a vacation with costs for airfare, hotel (5 nights), sightseeing, and meals. If she receives a 10% discount on additional hotel nights, what will she spend?
- A. 1328.35
- B. 1373.5
- C. 1381.4
- D. 1417.6
Correct answer: A
Rationale: To calculate Margery's total cost, we first need to find the cost without the discount. Let's say the original cost is x. With a 10% discount, she saves 10% of the cost of additional hotel nights. Since she is staying for 5 nights, the discount applies to 4 additional nights (5 - 1 night already included). Therefore, she saves 10% of 4 nights' cost. If x is the cost of 1 night, the total cost without discount is 5x. With the 10% discount, she saves 0.1 * 4x = 0.4x. So, the cost after discount is 5x - 0.4x = 4.6x. Given that the total cost is 5x for 5 nights, we can equate 5x to 4.6x to find x. Solving for x, we get x = Total cost / 5 = 5x / 5 = 4.6x / 5. Therefore, x = 4.6x / 5, which simplifies to x = 0.92 * 5x. This means 1 night's cost is 0.92 times the total cost for 5 nights. Given the total cost is $1328.35, we find the cost for 1 night is $1328.35 / 5 = $265.67. So, Margery will spend $1328.35 for her vacation.
2. Which of the following is the correct decimal placement for the product of 1.6 * 0.93?
- A. 14.88
- B. 0.1488
- C. 1.488
- D. 0.001488
Correct answer: C
Rationale: To find the product of 1.6 * 0.93, you multiply these two numbers to get 1.488. Therefore, the correct decimal placement for the product is 1.488. Choice A, 14.88, is incorrect as it incorrectly places the decimal two spots to the right. Choice B, 0.1488, is incorrect as it incorrectly places the decimal one spot to the right. Choice D, 0.001488, is incorrect as it incorrectly places the decimal three spots to the right.
3. Which is larger, feet or meters? What is the correct conversion factor between feet and meters?
- A. Feet are larger; 1 foot is 0.3048 meters
- B. Meters are larger; 1 meter is 3.28 feet
- C. Feet are smaller; 1 foot is 0.5 meters
- D. Meters are smaller; 1 meter is 2 feet
Correct answer: A
Rationale: The correct answer is A. Feet are larger than meters. The conversion factor between feet and meters is 1 foot = 0.3048 meters. Choice B is incorrect as it states that meters are larger than feet, which is the opposite of the truth. Choice C is incorrect as it provides an incorrect conversion factor of 1 foot = 0.5 meters, which is inaccurate. Choice D is also incorrect as it suggests that meters are smaller than feet, which is not true.
4. A quantity increases from 40 to 60. Express this increase as a percentage.
- A. 26%
- B. 50%
- C. 35%
- D. 12%
Correct answer: B
Rationale: To calculate the percentage increase, use the formula: Percentage Increase = ((New Value - Original Value) / Original Value) x 100 Substitute the values: ((60 - 40) / 40) x 100 = (20 / 40) x 100 = 0.5 x 100 = 50% Therefore, the correct answer is 50%. Choice A (26%) is incorrect as the percentage increase is not 26%. Choice C (35%) is incorrect as the percentage increase is not 35%. Choice D (12%) is incorrect as the percentage increase is not 12%.
5. What is the best estimate in meters for the average width of a doorway?
- A. 0.5
- B. 1
- C. 10
- D. 3
Correct answer: B
Rationale: The correct answer is B: 1. The average width of a doorway typically ranges from 0.8 to 1.2 meters, making 1 meter a reasonable estimate. Choice A (0.5) is too narrow for a standard doorway. Choice C (10) is too wide for a typical doorway. Choice D (3) is also wider than the standard width of a doorway.
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