TEAS Test Math Prep

Correct Answer: B

Rationale: To calculate the percentage increase, we subtract the original value from the new value (60 - 40 = 20), then divide this difference by the original value (20 / 40 = 0.5). Finally, multiply this result by 100 to get the percentage increase, which is 50%. Choice B is correct as it accurately represents the percentage increase from 40 to 60. Choices A, C, and D are incorrect because they do not provide the correct percentage increase calculation based on the given values.

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: The correct answer is A: Mean. The mean is calculated by summing all values and dividing by the number of values. Outliers can significantly skew the mean because they have a greater impact on the total sum. The median (B) is less affected by outliers since it is the middle value when data is sorted. The mode (C) is the most frequent value and is not affected by outliers. Choice D is incorrect as outliers can impact the mean in a small sample set.

Correct Answer: C

Rationale: To find the width, we first calculate the total length of the rectangle by multiplying the length by 2 (since there are 2 lengths in a rectangle). 12 cm x 2 = 24 cm. Subtracting this from the total perimeter of 36 cm gives us 36 cm - 24 cm = 12 cm. Since the width is divided into 2 sides, we divide 12 cm by 2 to get the width of 6 cm. Therefore, the correct answer is C: 6 cm. Choice A (3 cm) is incorrect because it does not account for the total perimeter. Choice B (12 cm) is incorrect as it represents the length, not the width. Choice D (8 cm) is incorrect as it does not align with the calculations based on the given information.

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.