HESI A2 Math Portion

HESI A2 Math Portion Related

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A bag contains 5 red marbles and 7 blue marbles. If you draw a marble without looking, what is the probability it will be red?

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

Rationale: The total number of marbles in the bag is 5 (red) + 7 (blue) = 12 marbles. The probability of drawing a red marble is the number of red marbles divided by the total number of marbles: 5/12. Simplifying 5/12 gives 1/3. Therefore, the correct probability of drawing a red marble is 1/3. Choice A (1/4) is incorrect because there are more red marbles than 1/4 of the total marbles. Choice C (1/2) is incorrect as it represents half of the total marbles. Choice D (2/3) is incorrect as it implies there are more red marbles than there actually are.

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Multiply: 25 4 = and express the result in decimal form.

  • A. 0.01
  • B. 0.1
  • C. 1
  • D. 10
Correct Answer: C

Rationale: To multiply 25 by 4, you get 100. To express the result in decimal form, you divide by 100. Therefore, the result is 1. Choice A (0.01) is incorrect as it represents 1/100, not the result of 25 4. Choice B (0.1) is incorrect as it represents 1/10. Choice D (10) is incorrect as it is the result before converting it to decimal form.

What is the result of dividing 152 by 2?

  • A. 0.0116
  • B. 0.116
  • C. 76
  • D. 11.6
Correct Answer: C

Rationale: To divide 152 by 2, you perform the division operation, which is 152 · 2 = 76. The correct answer is 76. Choices A, B, and D are incorrect. Choice A, 0.0116, is the result of dividing 1 by 152 instead of 152 by 2. Choice B, 0.116, is the result of dividing 1.52 by 2. Choice D, 11.6, is the result of multiplying 152 by 2.

What is 110% of 40?

  • A. 60
  • B. 50
  • C. 55
  • D. 44
Correct Answer: D

Rationale: To find 110% of a number, you multiply the number by 1.10. Therefore, 1.10 * 40 = 44. Since 110% of 40 is 44, the correct answer is D. Choice A (60) is the result of finding 150% of 40, not 110%. Choice B (50) is incorrect as it represents 125% of 40. Choice C (55) is not the correct answer as it corresponds to 137.5% of 40.

Relatively prime numbers share no common factors other than 1. Which of the following pairs of numbers are relatively prime?

  • A. 12 and 16
  • B. 15 and 17
  • C. 20 and 24
  • D. 28 and 36
Correct Answer: B

Rationale: Rationale:
- Relatively prime numbers are numbers that share no common factors other than 1.
- To determine if two numbers are relatively prime, we need to find the greatest common divisor (GCD) of the two numbers. If the GCD is 1, then the numbers are relatively prime.
- Let's calculate the GCD for each pair of numbers:
A) GCD(12, 16) = 4, not relatively prime
B) GCD(15, 17) = 1, relatively prime
C) GCD(20, 24) = 4, not relatively prime
D) GCD(28, 36) = 4, not relatively prime

Therefore, the pair of numbers 15 and 17 are relatively prime because their greatest common divisor is 1, meaning they share no common factors other than 1.

A child's toy block is a cube with side lengths of 5cm. What is its total surface area?

  • A. 25 sq cm
  • B. 50 sq cm
  • C. 125 sq cm
  • D. 150 sq cm
Correct Answer: D

Rationale: The surface area of a cube is calculated using the formula: 6 * (side length)^2. Substituting the side length of 5cm into the formula, we get: 6 * (5cm)^2 = 6 * 25cm^2 = 150 sq cm. Therefore, the total surface area of the toy block is 150 sq cm. Choices A (25 sq cm), B (50 sq cm), and C (125 sq cm) are incorrect as they do not correctly calculate the total surface area of the cube.

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