TEAS Test Sample Math Questions

Correct Answer: C

Rationale: To find what fraction the fourth person pays, we first calculate the sum of fractions paid by the first three people: 1/5 + 1/3 + 1/12 = 12/60 + 20/60 + 5/60 = 37/60. The total bill is 1, so the fourth person pays 1 - 37/60 = 23/60. Therefore, the correct answer is C (47/60). Choice A (1/4) is incorrect as it does not consider the fractions paid by the first three people. Choice B (13/60) is incorrect as it is the sum of the fractions paid by the first three people, not what the fourth person pays. Choice D (1/4) is a duplicate of choice A and is also incorrect.

Correct Answer: B

Rationale: To find out how much paint Shawna has left, subtract the amount she used from the total amount she bought. 5.0 gallons - 2.5 gallons = 2.5 gallons left. So, the correct answer is B: 2.5 gallons. Choice A (2.0 gallons) is incorrect as it does not account for the amount used. Choice C (3.0 gallons) is incorrect as it overestimates the amount left. Choice D (1.5 gallons) is incorrect as it underestimates the amount left.

Correct Answer: B

Rationale: To add 1/6 and 1/2, find a common denominator which is 6. Then, 1/6 + 1/2 = (1/6) + (3/6) = 4/6. Simplifying 4/6 gives 2/3, which is the reduced form of the sum. Choice B is correct. Choices A, C, and D are incorrect because they do not represent the correct result of adding 1/6 and 1/2 in reduced form. Option A simplifies to 9/7, Option C simplifies to 31/36, and Option D simplifies to 3/5, none of which are the correct answer.

Correct Answer: B

Rationale: To find the sum of 0.75 and 0.625, you add the two numbers together: 0.75 + 0.625 = 1.375. Therefore, the correct answer is B. Choice A (0.875) is incorrect because it is the sum of 0.75 and 0.125. Choice C (1.625) is incorrect because it is the sum of 0.75 and 0.875. Choice D (0.125) is incorrect as it is the sum of 0.75 and -0.625.

Correct Answer: D

Rationale: To express 8 3/7 as an improper fraction, we multiply the whole number (8) by the denominator of the fraction (7), then add the numerator (3) to get the numerator of the improper fraction. So, 8 * 7 + 3 = 59. The denominator remains the same, so the improper fraction is 59/7. Explanation of other choices: A: 11/7 - Incorrect. This is the sum of the whole number and fraction as a mixed number, not an improper fraction. B: 21/8 - Incorrect. This doesn't represent 8 3/7 as an improper fraction. C: 5/3 - Incorrect. This is a completely different fraction and does not represent 8 3/7.