TEAS Test Math Questions

TEAS Test Math Questions Related

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Half of a circular garden with a radius of 11.5 feet needs weeding. Find the area in square feet that needs weeding. Round to the nearest hundredth. Use 3.14 for π.

  • A. 207.64
  • B. 415.27
  • C. 519.08
  • D. 726.73
Correct Answer: B

Rationale: The area of a circle is given by the formula A = π r², where r is the radius. Since only half of the garden needs weeding, we calculate half the area.

Using the given value of π (3.14) and a radius of 11.5 feet:

A = 0.5 3.14 (11.5)²
A = 0.5 3.14 132.25
A = 0.5 415.27
A = 207.64 square feet.

Thus, the area that needs weeding is approximately 207.64 square feet, making option B the correct answer.

Choice A (207.64) is incorrect as it represents the total area of the circular garden, not just half of it. Choice C (519.08) and Choice D (726.73) are also incorrect as they do not reflect the correct calculation for finding the area of half the circular garden.

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What is the mode of the data set: 2, 3, 3, 4, 4, 4, 5?

  • A. 2
  • B. 3
  • C. 4
  • D. 5
Correct Answer: C

Rationale: The mode of a data set is the value that appears most frequently. In this data set (2, 3, 3, 4, 4, 4, 5), the number 4 appears three times, which is more frequent than any other number in the set. Therefore, the correct answer is 4. Choice A (2), B (3), and D (5) do not appear as frequently as 4 in the data set, so they are not the mode.

Write 290% as a fraction.

  • A. 29/10
  • B. 58/20
  • C. 145/50
  • D. 290/100
Correct Answer: D

Rationale: To convert a percentage to a fraction, you write the percentage as the numerator of the fraction over 100. Therefore, 290% is equivalent to 290/100, which simplifies to 29/10. Choices A, B, and C are incorrect because they do not represent 290% as a fraction by placing the percentage value over 100.

What is the result of multiplying 3/5 by 5/7?

  • A. 3/7
  • B. 1
  • C. 2
  • D. 4
Correct Answer: A

Rationale: To multiply fractions, multiply the numerators together and the denominators together. Multiplying 3/5 by 5/7 gives (3*5)/(5*7) = 15/35. This fraction simplifies to 3/7 by dividing the numerator and denominator by their greatest common factor, which is 5. Therefore, the correct answer is 3/7. Choices B, C, and D are incorrect as they do not result from multiplying 3/5 by 5/7.

Solve the system of equations.
Equation 1: 2x + y = 0
Equation 2: x - 2y = 8

  • A. (1.8, 3.6) and (-1.8, -3.6)
  • B. (1.8, -3.6) and (-1.8, 3.6)
  • C. (1.3, 2.6) and (-1.3, -2.6)
  • D. (-1.3, 2.6) and (1.3, -2.6)
Correct Answer: B

Rationale: From Equation 1: 2x + y = 0. Solve for y: y = -2x. Substitute y = -2x into Equation 2: x - 2(-2x) = 8. Simplify to x + 4x = 8, then 5x = 8, and x = 8 · 5 = 1.6. Substitute x = 1.6 back into y = -2x to find y = -3.2. Therefore, one solution is (1.6, -3.2). To find the second solution, use -1.6 for x to get (-1.6, 3.2). Thus, the correct answer is B, representing the solutions (1.8, -3.6) and (-1.8, 3.6). Choices A, C, and D contain incorrect values that do not match the solutions derived from solving the system of equations.

Solve |x| = 10.

  • A. -10, 10
  • B. -11, 11
  • C. -12, 12
  • D. -13, 13
Correct Answer: A

Rationale: The absolute value of x is equal to 10 when x is either -10 or 10. Therefore, the correct answer is A. Choices B, C, and D are incorrect because they do not satisfy the equation |x| = 10. For choice B, -11 and 11 do not satisfy the condition. Choices C and D also do not provide solutions that meet the equation's requirement.

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