HESI Mathematics

HESI Mathematics Related

Review HESI Mathematics related questions and content

A mailman delivers mail to 540 households. Yesterday he delivered a total of 5,400 pieces of mail on his route. What was the average number of pieces he delivered to each household? (Enter numeric value only. Round to whole number.)

  • A. 10
  • B. 12
  • C. 14
  • D. 8
Correct Answer: D

Rationale: Correct Answer: D (8)

Rationale:
1. Total pieces delivered = 5,400
2. Number of households = 540
3. Average pieces per household = Total pieces delivered / Number of households
4. Average = 5,400 / 540 = 10
5. Therefore, the average pieces delivered per household is 10, so choice D (8) is the correct answer.

Summary:
A: 10 - Incorrect. This is the calculated average, not the answer.
B: 12 - Incorrect. This is not the correct average based on the given information.
C: 14 - Incorrect. This is not the correct average based on the given information.

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How many liters are in 5000 milliliters? (Enter numeric value only.)

  • A. 0.5L
  • B. 50L
  • C. 5L
  • D. 500L
Correct Answer: C

Rationale: Correct Answer: C (5L)

Rationale:
1. 1 liter = 1000 milliliters.
2. To convert 5000 milliliters to liters, divide 5000 by 1000.
3. 5000 ml ÷ 1000 = 5 liters.
4. Therefore, there are 5 liters in 5000 milliliters.

Summary:
- A (0.5L): Incorrect, as dividing 5000 ml by 1000 equals 5L, not 0.5L.
- B (50L): Incorrect, as the conversion from milliliters to liters is 1:1000.
- D (500L): Incorrect, as dividing 5000 ml by 1000 equals 5L, not 500L.

What is the missing value in the ratio and proportion 15:2000::x:200?

  • A. 1.5
  • B. 7.777
  • C. 0.15
  • D. 15
Correct Answer: A

Rationale: To find the missing value x, we set up a proportion: 15/2000 = x/200. Cross multiplying, we get 15 * 200 = 2000x. Solving for x, x = (15 * 200) / 2000 = 1.5. Therefore, the correct answer is A, 1.5, which represents the missing value in the proportion. The ratio 15:2000 can be simplified to 3:400 by dividing both numbers by 5, making the proportion easier to work with. By setting up the proportion correctly and solving for x, we obtain the missing value as 1.5, which completes the proportion 15:2000::1.5:200.

Multiply: 2/3 x 3/5 =

  • A. 3/4
  • B. 1/3
  • C. 2/5
  • D. 11/9
Correct Answer: C

Rationale: To multiply fractions, multiply the numerators and the denominators: (2 x 3) / (3 x 5) = 6/15. Simplifying gives 2/5. Thus, the correct answer is C) 2/5.

Convert to metric: 7 grams = x mg =

  • A. 0.007 mg
  • B. 7,000 mg
  • C. 0.0007 mg
  • D. 700 mg
Correct Answer: B

Rationale: To convert grams to milligrams, you need to multiply by 1,000 because there are 1,000 milligrams in a gram. Therefore, 7 grams = 7 * 1,000 = 7,000 milligrams. The correct answer is 7,000 mg. Remember, when converting between grams and milligrams, the conversion factor is 1 gram = 1,000 milligrams. In this case, 7 grams multiplied by 1,000 gives you the correct answer of 7,000 milligrams.

Evaluate ab²-ac if a=c, b=-4, and c=-5

  • A. 56
  • B. -80
  • C. -23
  • D. -5
Correct Answer: B

Rationale: To evaluate ab²-ac, substitute a=c, b=-4, and c=-5 into the expression: (-4)(-5)² - (-4)(-5). This simplifies to (-4)(25) - (-4)(-5) = -100 + 20 = -80. Therefore, the correct answer is -80, which corresponds to choice B. It is crucial to substitute the values correctly and follow the correct order of operations to arrive at the accurate result.

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