TEAS Test Math Prep

Correct Answer: C

Rationale: The sequence is an arithmetic progression with a common difference of 1. To find the sixth number, we add 1 successively to each number. Starting from 5, we add 1 five times to get the sixth number, which is 5 + 5 = 10. Therefore, the correct answer is B. Choice A is incorrect because it is the fourth number in the sequence. Choice C is incorrect as it is the seventh number. Choice D is incorrect as it is the eighth number in the sequence.

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.

Correct Answer: D

Rationale: Failed to generate a rationale after 5 retries.

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 calculate the sum of numbers from 1 to 6, we use the formula for the sum of an arithmetic series: n/2 * (first term + last term). In this case, n=6, first term=1, last term=6. So, 6/2 * (1 + 6) = 3 * 7 = 21. Therefore, the correct answer is B: 21. Explanation for other choices: A (30): Incorrect, as it is not the sum of numbers from 1 to 6. C (15): Incorrect, this is the sum of numbers from 1 to 5, not 1 to 6. D (13): Incorrect, this is the sum of numbers from 1 to 4, not 1 to 6.