ATI TEAS 7
TEAS Math Questions Questions
Question 1 of 9
Which of the following equations correctly models the relationship between x and y when y is three times x?
Correct Answer: A
Rationale: The correct equation that models the relationship between x and y when y is three times x is y = 3x. This equation represents that y is equal to three times x. Choice B (x = 3y) incorrectly reverses the relationship, stating that x is equal to three times y. Choice C (y = x + 3) and Choice D (y = x / 3) do not correctly represent a relationship where y is three times x, making them incorrect choices.
Question 2 of 9
What is the range in the number of flights made per month by the flight attendant?
Correct Answer: C
Rationale: The range is calculated by finding the difference between the highest and lowest values. In this case, the highest number of flights made per month is 32, and the lowest is 3. Therefore, the range is 32 - 3 = 29. Choice C, '29', is the correct answer. Choice A, '20', Choice B, '25', and Choice D, '32', are incorrect as they are individual data points and do not represent the range, which is a measure of spread between the highest and lowest values.
Question 3 of 9
What percentage of the staff is certified and available to work in the neonatal unit during the holiday if 35% are on vacation and 20% of the remainder are certified?
Correct Answer: A
Rationale: After 35% of the staff are on vacation, 65% remain. Since 20% of the remaining staff are certified, you multiply 0.20 by 65% (0.20 * 65% = 0.13 or 13%). Therefore, the correct answer is 0.13 or 13%. Choices C and D are incorrect as they do not represent the correct calculation for the percentage of certified staff available. Choice B is incorrect because it incorrectly states the calculated percentage as 0.13 instead of 0.07.
Question 4 of 9
A container holds 10 liters of water. If 25% of the water is used, how many liters are left?
Correct Answer: A
Rationale: To find the amount of water left after 25% is used, you need to calculate 75% of the total water. 75% of 10 liters is 7.5 liters, which means that 7.5 liters of water are left. Therefore, the correct answer is A. Choice B (8 liters) is incorrect because this would be the total water remaining if 20% was used, not 25%. Choice C (6.5 liters) is incorrect as it does not account for the correct percentage of water left. Choice D (8.5 liters) is incorrect as it miscalculates the amount of water remaining after 25% is used.
Question 5 of 9
If the population of a city increases by 5% annually, what will the population be next year if the current population is 1,000?
Correct Answer: A
Rationale: To calculate the population increase, multiply the current population by 1 plus the percentage increase. So, 1,000 * 1.05 = 1,050 people. Therefore, the correct answer is A. Choice B (1,200 people) is incorrect because it represents a 20% increase from the current population, not 5%. Choice C (1,100 people) is incorrect as it reflects a 10% increase, not a 5% increase. Choice D (1,300 people) is incorrect, showing a 30% increase, which is not the scenario given.
Question 6 of 9
A study was conducted where patients were divided into three groups: 1/2 in Group Alpha, 1/3 in Group Beta, and 1/6 in Group Gamma. Which group is the smallest?
Correct Answer: C
Rationale: The smallest group is Group Gamma, which had 1/6 of the total number of patients. To determine the smallest group, compare the fractions representing the portions of patients in each group. 1/6 is smaller than 1/3 and 1/2, making Group Gamma the smallest. Group Alpha and Group Beta have larger fractions of patients, making them larger groups compared to Group Gamma.
Question 7 of 9
A car travels 60 miles in 1 hour. How long will it take to travel 180 miles at the same speed?
Correct Answer: A
Rationale: To find the time needed to travel 180 miles at the same speed of 60 miles per hour, you divide the total distance by the speed. 180 miles · 60 mph = 3 hours. Therefore, it will take 3 hours to travel 180 miles at the given speed. Choice B, 4 hours, is incorrect as it does not align with the calculation. Choice C, 2.5 hours, is incorrect as it underestimates the time needed for the distance. Choice D, 5 hours, is incorrect as it overestimates the time required based on the given speed.
Question 8 of 9
A study divides patients into 3 groups with fractions: 1/2, 1/3, and 1/6. Which group has the largest number of patients?
Correct Answer: A
Rationale: Group Alpha has the largest number of patients because it represents 1/2 of the total population, which is the highest fraction among the groups. Group Beta represents 1/3 of the population, and Group Gamma represents 1/6 of the population, making them smaller fractions in comparison. Group Delta is not mentioned in the question and is therefore unrelated to the comparison of the groups.
Question 9 of 9
University Q has an extremely competitive nursing program. Historically, 3/4 of the students in each incoming class major in nursing, but only 1/3 of those who major in nursing actually complete the program. If this year's incoming class has 100 students, how many students will complete the nursing program?
Correct Answer: C
Rationale: Out of 100 students, 3/4 major in nursing, which is 75 students (100 * 3/4 = 75). Among these 75 students, only 1/3 will complete the program. Therefore, 1/3 of 75 is 25. Hence, 25 students will complete the nursing program. Choice A (75) is incorrect because this represents the number of students majoring in nursing, not completing the program. Choices B (20) and D (5) are incorrect as they do not align with the calculation based on the given fractions and total number of students.