which of the following is true

ATI TEAS 7

TEAS Test Practice Math

1. Which of the following statements is true?

A. The mean is less than the median
B. The mode is greater than the median
C. The mode is less than the mean, median, and range
D. The mode is equal to the range

Correct answer: A

Rationale: The mean is the average of a set of numbers, while the median is the middle value when the numbers are arranged in order. If a set of numbers is skewed to one side with some outliers, the mean can be influenced by these extreme values, causing it to be greater or less than the median. In cases of skewed distribution, the mean typically shifts towards the direction of the outliers, making it less than the median. Choice B is incorrect because the mode, which is the most frequent number in a dataset, may or may not be greater than the median. Choice C is incorrect because the mode can be greater than the mean or median, depending on the data. Choice D is incorrect because the mode, representing the most frequent value, has no direct relationship with the range, which is the difference between the highest and lowest values in a dataset.

2. If a train travels 60 miles per hour for 2 hours, how far does the train travel?

A. 60 miles
B. 100 miles
C. 120 miles
D. 200 miles

Correct answer: C

Rationale: To find the distance traveled by the train, we use the formula Distance = Speed x Time. Given that the train travels at 60 miles per hour for 2 hours, the calculation would be 60 miles/hour x 2 hours = 120 miles. Therefore, the correct answer is 120 miles. Choice A (60 miles) is incorrect because it only represents the speed of the train, not the total distance traveled. Choice B (100 miles) is incorrect as it does not account for the full 2 hours of travel. Choice D (200 miles) is incorrect as it overestimates the distance by multiplying the speed by the time incorrectly.

3. What number is 6 equal to 30% of?

A. 18
B. 20
C. 24
D. 26

Correct answer: A

Rationale: To find the number that is 30% of 6, you can set up the equation 0.3x = 6. Solving for x gives x = 6 / 0.3 = 20. Therefore, 6 is equal to 30% of 20. Choice B, 20, is incorrect as it is the result of the calculation. Choice C, 24, and Choice D, 26, are incorrect as they are not the numbers that 6 is equal to 30% of.

4. Adam is painting the outside of a 4-walled shed. The shed is 5 feet wide, 4 feet deep, and 7 feet high. Which of the following is the amount of paint Adam will need for the four walls?

A. 80 ftÂ²
B. 126 ftÂ²
C. 140 ftÂ²
D. 560 ftÂ²

Correct answer: B

Rationale: To find the amount of paint needed for the four walls of the shed, calculate the total area of the four walls. The shed has two pairs of identical walls. The area of one pair of walls is 5 feet (width) x 7 feet (height) + 4 feet (depth) x 7 feet (height) = 35 ftÂ² + 28 ftÂ² = 63 ftÂ². Since there are two pairs of walls, the total area for the four walls is 2 x 63 ftÂ² = 126 ftÂ². Therefore, Adam will need 126 ftÂ² of paint for the four walls. Choice A, 80 ftÂ², is incorrect as it does not account for the total surface area of all four walls. Choice C, 140 ftÂ², is incorrect as it overestimates the area required. Choice D, 560 ftÂ², is incorrect as it significantly overestimates the amount of paint needed for the shed.

5. If the price of a shirt was originally $30 and it is now being sold at a 20% discount, what is the sale price of the shirt?

A. $24
B. $25
C. $26
D. $28

Correct answer: A

Rationale: To find the discount amount, calculate 20% of $30: 0.20 Ã— $30 = $6. Subtract the discount from the original price to get the sale price: $30 - $6 = $24. Therefore, the correct answer is $24. Choices B, C, and D are incorrect as they do not reflect the correct calculation of applying a 20% discount to the original price of $30.