Math Practice TEAS Test

Correct Answer: B

Rationale: To calculate the probability of consecutively pulling two more orange blocks, we first find the probability of pulling one orange block (3/12) and then the probability of pulling another orange block out of the remaining orange blocks (2/11). Multiplying these probabilities gives (3/12) * (2/11) = 6/132 = 3/55. Therefore, the correct answer is B. Choice A (3/12) is the probability of pulling one orange block, but it doesn't account for the second draw. Choice C (2/10) is incorrect as it doesn't consider the changing probabilities after the first draw. Choice D (1/3) is the probability of pulling one orange block only.

Correct Answer: B

Rationale: To find the total shifts for week 3, we add the shifts from each week. Cameron worked 5 shifts in week 1, 2 * 5 = 10 shifts in week 2, and added 4 more shifts in week 3. Thus, total shifts = 5 (week 1) + 10 (week 2) + 4 (week 3) = 19 shifts. Therefore, the correct answer is B: 14 shifts, as it correctly calculates the shifts for each week and provides the accurate total for week 3. Other choices are incorrect because they do not consider the shifts worked in week 2 or incorrectly calculate the total shifts for week 3.

Correct Answer: A

Rationale: The correct answer is A. In direct proportion, both quantities increase or decrease together. This means as one quantity increases, the other also increases by the same factor, and vice versa. This relationship is represented by a straight line passing through the origin in a graph. Choice B is incorrect because in direct proportion, both quantities do not decrease together; they either both increase or both decrease. Choice C is incorrect because in direct proportion, both quantities do not stay the same while the other increases; they both change together. Choice D is incorrect because in direct proportion, one quantity does not increase while the other decreases; they both increase or decrease together.

Correct Answer: B

Rationale: To calculate the total trip duration, first find the time taken for the first leg (305 miles at 65 mph = 305/65 = 4.69 hours). Then factor in the 15-minute stop (0.25 hours). Finally, calculate the time for the second leg (162 miles at 80 mph = 162/80 = 2.03 hours). Add all times together (4.69 + 0.25 + 2.03 = 6.97 hours), which is closest to choice B (6.69 hours). This is the correct answer as it considers the time for each leg and the stop accurately. Other choices are incorrect because they do not accurately calculate the total trip duration.

Correct Answer: B

Rationale: To find the approximate number of people who voted for the proposition, multiply the town's population by the percentage that voted: 51,623 * 9.5% = 51,623 * 0.095 ≈ 4905. Therefore, the closest choice to this calculated value is B: 5000. Choices A, C, and D are incorrect because they do not align with the calculation result and are significantly higher or lower than the estimated number of people who voted based on the given percentage.