TEAS Test Practice Math

Correct Answer: B

Rationale: To find the distance in feet between the two points on the map, multiply the scale factor (60 ft/inch) by the map distance (10 inches). So, 60 ft/inch * 10 inches = 600 ft. Since 1 yard = 3 feet, divide 600 ft by 3 to convert to yards, which equals 200 yards. Therefore, the correct answer is B (600). The incorrect answers: A: 1800 - This is obtained by multiplying 60 ft by 10 inches without converting to yards. C: 200 - This is the result after converting 600 ft directly to yards without considering the scale factor. D: 2 - This answer is likely obtained by converting 10 inches directly to yards without considering the scale factor.

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: D

Rationale: To determine when Truck B becomes the better buy, we need to find the breakeven point where the total cost of owning and operating both trucks is the same. First, calculate the total cost for each truck by adding the initial cost to the cost of gasoline for the miles driven. For Truck A: $450 + ($4/mile * x miles), and for Truck B: $650 + ($4/mile * x miles). Set these two equations equal to each other and solve for x to find the breakeven point. By solving the equation, we find that Sally must drive 4375 miles for Truck B to be the better buy. The correct answer is D. Summary: A: 500 - Incorrect, too low of a mileage for Truck B to be the better buy. B: 7500 - Incorrect, too high of a mileage for Truck B to be the better buy. C: 1750 - Incorrect, not the correct mileage for Truck B to

Correct Answer: D

Rationale: To calculate the percentage difference, we need to find the percentage increase from City X to City Y. Let's assume City X has 100 staff members, with 40 females, making 40% female. In City Y, there are 120 staff members, with 60 females, making 50% female. The percentage difference is (50% - 40%) / 40% = 0.25 or 25%. Therefore, there are 25% more female staff in City Y compared to City X, which is equivalent to 20% of the female staff in City X. So, the correct answer is D (20%). Choice A (5%), B (10%), and C (15%) are incorrect as they do not accurately reflect the 20% increase in female staff members between the two cities.

Correct Answer: A

Rationale: To find the actual distance in miles, multiply the map distance by the scale factor. 3.2 inches * 45 miles/inch = 144 miles. Choice A is correct because it correctly applies the scale factor. Choices B, C, and D are incorrect because they do not properly calculate the actual distance using the scale provided on the map.