TEAS Test Math Prep

Correct Answer: C

Rationale: Step 1: Identify the integer closest to 4.6, which is 5. Step 2: Determine the distance between 4.6 and both neighboring integers: 4 (0.6 away) and 5 (0.4 away). Step 3: Since 4.6 is closer to 5, rounding to the nearest integer gives us 5, making choice C the correct answer. Summary: Choice A is incorrect as it is the integer below 4.6. Choice B is incorrect as it is not the closest integer to 4.6. Choice D is incorrect as it is greater than 4.6.

Correct Answer: D

Rationale: To find the number of nights Sarah needs to read 140 pages, we first calculate her rate: 21 pages / 4 nights = 5.25 pages/night. Then, we divide 140 pages by her rate: 140 pages / 5.25 pages/night ≈ 26.67 nights. Since she can't read a fraction of a night, she would need 27 nights to read 140 pages. A: Incorrect. 6 nights is too short based on the rate calculation. B: Incorrect. 26 nights is close, but rounding up is necessary. C: Incorrect. 8 nights is too short based on the rate calculation.

Correct Answer: B

Rationale: To find the ratio of faculty to students, add the number of teachers and teaching assistants (15+20 = 35). Then, divide the total faculty by the number of students (35:200). Simplify the ratio to its simplest form, which is 4:17. This is the correct answer because it represents the relationship between the faculty and students accurately. Incorrect choices: A: 3:20 - Incorrect because it doesn't accurately represent the ratio of faculty to students. C: 3:02 - Incorrect because the ratio must be in terms of whole numbers. D: 7:40 - Incorrect as it doesn't reflect the actual ratio between faculty and students.

Correct Answer: C

Rationale: To find the circumference of a circle, we use the formula C = 2πr, where r is the radius. Given r = 3 inches, C = 2π(3) ≈ 18.85 inches. The closest estimate is C: 18 inches. Choice A is too small, B is slightly closer but still underestimated, and D is too large. Therefore, C is the best estimate based on the calculated circumference using the given radius.

Correct Answer: A

Rationale: To convert miles to kilometers, we use the conversion factor 1 mile = 1.60934 km. Therefore, to convert 67 miles to kilometers, we multiply 67 miles by 1.60934 km/mile = 107.67178 km. Rounding to three significant digits gives us 107 km, which is the correct answer. Choice B (106 km) is incorrect as it does not account for the correct rounding of the conversion. Choice C (33 km) is incorrect as it significantly underestimates the conversion. Choice D (85 km) is also incorrect as it does not reflect the accurate conversion from miles to kilometers.