TEAS Test Practice Math

Correct Answer: B

Rationale: To find the square root of 1296, we look for a number that, when multiplied by itself, equals 1296. The square root of 1296 is 36 because 36 * 36 = 1296. Choice A (24) is incorrect since 24 * 24 is not equal to 1296. Choice C (31) and Choice D (12) are also incorrect as neither of them results in the square of 1296 when multiplied by themselves. Therefore, the correct answer is B (36).

Correct Answer: A

Rationale: To find average speed, we use the formula: Total Distance / Total Time. For the morning trip: 45 miles / 1.17 hours = 38.46 mph. For the evening trip: 45 miles / 1.5 hours = 30 mph. Total distance = 45 miles + 45 miles = 90 miles. Total time = 1.17 hours + 1.5 hours = 2.67 hours. Average speed = 90 miles / 2.67 hours = 33.71 mph, which rounds to 30 mph (Choice A). Other choices are incorrect because they do not match the calculated average speed for the round trip.

Correct Answer: A

Rationale: To find the number of hours for which Courtney and Kendra's charges are equal, we need to set their equations equal to each other. For Courtney: Cost = $12 + $2x, where x is the number of hours. For Kendra: Cost = $10 + $5x. Setting the two equations equal: $12 + $2x = $10 + $5x. Solving for x gives x = 2. This means after 2 hours, both charges are equal. Option A is correct as it correctly represents the situation. Option B has the fee and hourly rates swapped for Courtney and Kendra. Option C has the hourly rates incorrectly applied to the fee. Option D has the fees and hourly rates swapped for Courtney and Kendra.

Correct Answer: C

Rationale: To determine the number of prizes for fifth-grade students, we need to allocate the prizes proportionally based on the number of students in each grade. 1. Calculate the total number of students in the school: 35 (Grade 1) + 38 (Grade 2) + 38 (Grade 3) + 33 (Grade 4) + 36 (Grade 5) = 180 students. 2. Calculate the proportion of students in fifth grade: 36 (Grade 5 students) / 180 (total students) = 0.2 or 20%. 3. Apply this proportion to the total number of prizes (20 prizes): 20 (total prizes) * 0.2 = 4 prizes for fifth-grade students. Therefore, the correct answer is B: 4 prizes for fifth-grade students. Other choices are incorrect because they do not accurately reflect the proportional allocation based on the number of students in each grade.

Correct Answer: C

Rationale: To find the total number of clients secured in a given time, we divide the total clients by the clients secured in one period. 24 clients ÷ 3 clients/8 months = 8 periods. To find the total time, we multiply the periods by the time for one period. 8 periods × 8 months = 64 months. Therefore, Robert has secured 24 new clients after 64 months. The other choices are incorrect because they do not align with the correct calculation.