TEAS Test Math Prep

TEAS Test Math Prep Related

Review TEAS Test Math Prep related questions and content

In Jim's school, there are 3 girls for every 2 boys. There are 650 students in total. Using this information, how many students are girls?

  • A. 260
  • B. 130
  • C. 65
  • D. 390
Correct Answer: A

Rationale: To find the number of girls in Jim's school, we first establish the ratio of girls to boys as 3:2. This ratio implies that out of every 5 students (3 girls + 2 boys), 3 are girls and 2 are boys. Since there are a total of 650 students, we can divide them into 5 equal parts based on the ratio. Each part represents 650 divided by 5, which is 130. Therefore, there are 3 parts of girls in the school, totaling 3 multiplied by 130, which equals 390. Hence, there are 390 girls in Jim's school. Choice A, 260, is incorrect as it does not consider the correct ratio and calculation. Choice B, 130, is incorrect as it only represents one part of the total students, not the number of girls. Choice C, 65, is incorrect as it ignores the total number of students and the ratio provided.

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How many kilometers is 4382 feet?

  • A. 1.336 kilometers
  • B. 14.376 kilometers
  • C. 1.437 kilometers
  • D. 13.336 kilometers
Correct Answer: A

Rationale: To convert feet to kilometers, you need to divide the number of feet by 3280.84 (the number of feet in a kilometer). Therefore, 4382 feet is equal to 4382/3280.84 ≈ 1.336 kilometers. Choice B, 14.376 kilometers, is incorrect as it seems to be a miscalculation. Choice C, 1.437 kilometers, is also incorrect, as it is slightly off from the correct conversion. Choice D, 13.336 kilometers, is significantly higher than the correct answer and does not align with the conversion factor.

A certain exam has 30 questions. A student gets 1 point for each question answered correctly and loses half a point for each question answered incorrectly; no points are gained or lost for questions left blank. If x represents the number of questions a student answers correctly and y represents the number of questions left blank, which of the following expressions represents the student's score on the exam?

  • A. x - y/2
  • B. x - y
  • C. 30 - (x + y)
  • D. 30 - x - y/2
Correct Answer: A

Rationale: The student's score is calculated by adding the points earned for correct answers (x) and subtracting the points lost for incorrect answers (y/2). Therefore, the expression for the student's score on the exam is x - y/2. Option A is correct because it accurately represents this calculation. Option B (x - y) is incorrect as it does not account for the penalty of losing half a point for each incorrect answer. Option C (30 - (x + y)) is incorrect as it subtracts the total number of questions from the sum of correct and blank answers, which does not represent the scoring system. Option D (30 - x - y/2) is also incorrect as it incorrectly subtracts x from 30 and then deducts y divided by 2, which is not the correct scoring method for the exam.

If a car travels 150 miles in 3 hours, what is the car's average speed in miles per hour?

  • A. 45 mph
  • B. 50 mph
  • C. 55 mph
  • D. 60 mph
Correct Answer: B

Rationale: To calculate the average speed, use the formula: Average speed = Total distance / Total time. In this case, Average speed = 150 miles / 3 hours = 50 mph. Therefore, the car's average speed is 50 miles per hour. Choice A (45 mph), Choice C (55 mph), and Choice D (60 mph) are incorrect as they do not match the correct calculation based on the given distance and time values.

Simplify the following expression: 5/9 15/36

  • A. 5/36
  • B. 8/27
  • C. 10/17
  • D. 15/27
Correct Answer: A

Rationale: To simplify the given expression, multiply the numerators together and the denominators together.
5/9 15/36 = (5 15) / (9 36) = 75 / 324.
Now, simplify the resulting fraction by finding the greatest common divisor (GCD) of 75 and 324, which is 3. Divide both the numerator and denominator by 3 to get the simplified fraction: 75 · 3 / 324 · 3 = 25 / 108.
Therefore, the simplified form of 5/9 15/36 is 25/108, which is equivalent to 5/36.
Choice A, 5/36, is the correct answer.
Choice B, 8/27, is incorrect as it does not match the simplified form of the expression.
Choice C, 10/17, is unrelated and does not result from the given multiplication.
Choice D, 15/27, does not correspond to the simplification of the given expression.

Which of the following numbers has the greatest value?

  • A. 1.4378
  • B. 1.07548
  • C. 1.43592
  • D. 0.89409
Correct Answer: B

Rationale: To determine the number with the greatest value among the options, focus on the digit in the tenths place. In this case, 1.07548 has the highest value as it has the digit 7 in the tenths place. Comparing this to the other numbers, 1.4378, 1.43592, and 0.89409 have 4, 3, and 8 in the tenths place, respectively. Therefore, 1.07548 is the number with the greatest value as it has the highest digit in the tenths place.

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