HESI A2 Math 2024

HESI A2 Math 2024 Related

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Temperature Conversion & Interpretation: A patient's body temperature is 102°F. Convert this to °C and assess if it indicates a fever.

  • A. 37°C (Normal)
  • B. 39°C (Low-grade fever)
  • C. 39°C (Fever)
  • D. 42°C (Hyperthermia)
Correct Answer: C

Rationale: Rationale:
1. To convert Fahrenheit to Celsius, you can use the formula: °C = (°F - 32) x 5/9.
2. Given that the patient's body temperature is 102°F, we can calculate the equivalent temperature in Celsius:
°C = (102 - 32) x 5/9
°C = 70 x 5/9
°C = 350/9
°C ≈ 38.9°C, which can be rounded to 39°C.
3. A body temperature of 39°C is considered to indicate a fever. Normal body temperature typically ranges from 36.1°C to 37.2°C, so a temperature of 39°C is higher than the normal range and suggests a fever.
4. Options A and B are incorrect as they do not reflect the conversion of 102°F to °C

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A landscaping plan is drawn on a 1:50 scale. If a deck in the plan measures 12 cm by 10 cm, how large is the deck in real life?

  • A. 12 m by 10 m
  • B. 6 m by 5 m
  • C. 5 m by 2 m
  • D. 4 m by 3 m
Correct Answer: B

Rationale: Since the landscaping plan is drawn on a 1:50 scale, the real-life dimensions of the deck can be calculated by multiplying the dimensions on the plan by the scale factor. The dimensions given are 12 cm by 10 cm. Multiplying these dimensions by the scale factor of 50 gives us 600 cm by 500 cm, which is equivalent to 6 m by 5 m in real life. Choice A is incorrect as it doesn't consider the scale factor. Choice C and Choice D are incorrect as they are not the result of multiplying the dimensions by the scale factor.

A solution is 60% alcohol. If 200ml of the solution is used, how much pure alcohol is present?

  • A. 100ml
  • B. 120ml
  • C. 140ml
  • D. 160ml
Correct Answer: B

Rationale: If the solution is 60% alcohol, it means that 60% of the solution is alcohol. Therefore, in 200ml of the solution, the amount of alcohol present is: 200ml * 60% = 200ml * 0.60 = 120ml. So, when 200ml of the solution is used, there are 120ml of pure alcohol present. Choice A, 100ml, is incorrect because it does not account for the correct percentage of alcohol in the solution. Choice C, 140ml, and Choice D, 160ml, are incorrect as they overestimate the amount of pure alcohol present in the solution.

What is the result of the addition: 34 + 4 + 234?

  • A. 70.2
  • B. 230.72
  • C. 234.74
  • D. 272
Correct Answer: D

Rationale: Adding the given numbers together: 34 + 4 + 234 = 272. The correct sum is 272. Choice A, 70.2, is incorrect as it does not reflect the accurate addition of the numbers. Choice B, 230.72, is incorrect as well. Choice C, 234.74, is also incorrect since the correct sum is 272, not 234.74.

Later he spends $20 on bus tokens. How much is left from his original $100?

  • A. $49.30
  • B. $69.30
  • C. $79.30
  • D. $89.30
Correct Answer: D

Rationale: If he spends $20 on bus tokens from his original $100, then the amount left is $100 - $20 = $80. The remaining 90% of $80 is calculated as $80 + 0.90 * $80 = $80 + $72 = $89.30. Therefore, the correct answer is $89.30. Choices A, B, and C are incorrect as they do not represent the correct calculation of the remaining amount after spending $20.

Divide: 5,117 · 31 =

  • A. 109 r3
  • B. 115 r14
  • C. 133 r5
  • D. 165 r2
Correct Answer: D

Rationale: When dividing 5,117 by 31, the quotient is 165 with a remainder of 2. The correct answer is 165 r2. Choices A, B, and C are incorrect as they do not reflect the correct division result. Choice A is close but has the wrong remainder. Choices B and C have incorrect quotients and remainders, making them inaccurate. Therefore, the correct answer is D, 165 r2.

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