HESI A2
HESI A2 Math Portion
1. A plan for a shed is drawn on a 1:10 scale. If the roof of the real shed measures 4 feet by 5 feet, what were the measurements on the plan?
- A. 80 inches by 100 inches
- B. 40 inches by 50 inches
- C. 4.8 inches by 6 inches
- D. 4 inches by 5 inches
Correct answer: B
Rationale: When the real shed roof measures 4 feet by 5 feet, on a 1:10 scale plan, the measurements on the plan would be 1/10 of the real measurements. Therefore, the correct answer is 40 inches by 50 inches since it represents 1/10 of 4 feet by 5 feet. Choice A (80 inches by 100 inches) is incorrect because it is equivalent to the real shed measurements, not the scaled plan. Choice C (4.8 inches by 6 inches) is incorrect as it does not reflect the 1:10 scale reduction. Choice D (4 inches by 5 inches) is incorrect because it does not consider the scale factor of 1:10.
2. What is the probability of rolling an even number on a six-sided die?
- A. 50%
- B. 16.70%
- C. 25%
- D. 33.30%
Correct answer: A
Rationale: The correct answer is A, 50%. A standard six-sided die has three even numbers (2, 4, 6) out of six possible outcomes. The probability of rolling an even number is therefore 3 out of 6, which simplifies to 50%. Choices B, C, and D are incorrect because they do not accurately reflect the probability of rolling an even number on a six-sided die.
3. How many liters are in 300 milliliters?
- A. 0.03 liters
- B. 3 liters
- C. 0.3 liters
- D. 0.003 liters
Correct answer: C
Rationale: To convert milliliters to liters, you need to divide by 1000 since there are 1000 milliliters in 1 liter. Therefore, 300 milliliters รท 1000 = 0.3 liters. Choice A, 0.03 liters, is the result of dividing by 10 instead of 1000. Choice B, 3 liters, is the result of multiplying instead of dividing. Choice D, 0.003 liters, is the result of dividing by 1000 twice, which is incorrect.
4. Solve for y if y = 3: 4y + 21 / y.
- A. 7.7
- B. 19
- C. 23/3
- D. 11
Correct answer: B
Rationale: To solve for y, substitute y = 3 into the equation: 4(3) + 21 / 3 = 12 + 7 = 19. Therefore, the correct answer is 19. Choice A (7.7) is incorrect as it does not result from the substitution. Choice C (23/3) is incorrect as it does not match the calculated value. Choice D (11) is incorrect, as it is not the result of the provided equation.
5. How many ounces are there in 4 cups?
- A. 16 ounces
- B. 24 ounces
- C. 28 ounces
- D. 32 ounces
Correct answer: A
Rationale: To find out how many ounces are in 4 cups, you need to multiply 8 ounces (the number of ounces in 1 cup) by 4 cups. This calculation results in 32 ounces. However, the question asks for the number of ounces in 4 cups, not the total ounces in 4 cups. Therefore, there are 16 ounces in 4 cups. Choices B, C, and D are incorrect as they do not represent the correct conversion of ounces in 4 cups.
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