HESI A2
HESI A2 Math Practice Test 2022
1. Reduce 5 & 3/4 divided by 1/2.
- A. 5 & 1/2
- B. 2 & 3/8
- C. 18
- D. 11 & 1/2
Correct answer: D
Rationale: To divide mixed numbers, convert them to improper fractions. 5 & 3/4 = 23/4 and 1/2 = 2/1. So, 23/4 ÷ 2/1 = 23/4 * 1/2 = 23/8 = 2 & 7/8. Therefore, 5 & 3/4 divided by 1/2 reduces to 11 & 1/2. Choices A, B, and C are incorrect because they do not represent the correct result of dividing 5 & 3/4 by 1/2.
2. How many inches are in 2 yards?
- A. 36 inches
- B. 48 inches
- C. 60 inches
- D. 72 inches
Correct answer: D
Rationale: To convert yards to inches, remember that there are 36 inches in a yard. Therefore, when you have 2 yards, multiplying 36 inches by 2 results in 72 inches. Choice A, 36 inches, is the number of inches in 1 yard, not 2 yards. Choice B, 48 inches, and Choice C, 60 inches, are incorrect calculations based on the conversion factor of 36 inches per yard.
3. If y = 4 and x = 3, solve y x³
- A. -108
- B. 108
- C. 27
- D. 4
Correct answer: B
Rationale: With y = 4 and x = 3, the expression is y × x³. Substituting the values, we get 4 × 3³ = 4 × 27 = 108. Therefore, the correct answer is 108. Option A (-108) is incorrect because the negative sign is not part of the result. Option C (27) is incorrect as it only represents x³ without considering the value of y. Option D (4) is incorrect as it represents the initial value of y, not the result of y × x³.
4. An IV drip delivers 40 drops per minute, each containing 1mg of medication. How many milligrams are administered in 3 hours (180 minutes)?
- A. 360mg
- B. 720mg
- C. 7,200mg
- D. 14,400mg
Correct answer: C
Rationale: In this scenario, to find the total amount of medication administered in 3 hours, we first calculate the total drops administered by multiplying the drops per minute by the total minutes. This gives us 40 drops/minute * 180 minutes = 7200 drops. Then, we convert the drops to milligrams by multiplying the total drops by the amount of medication in each drop, which is 1mg. Therefore, 7200 drops * 1mg/drop = 7200mg. The correct answer is 7,200mg. Choice A is incorrect as it miscalculates the total amount. Choice B is incorrect as it doubles the correct answer. Choice D is incorrect as it quadruples the correct answer.
5. Farmer Juan has 14 acres with an average yield of 17460 eggs per acre. The profit per egg is $1.65. What profit should Farmer Juan expect?
- A. $403,326
- B. $148,145.45
- C. $244,440
- D. $2,057.79
Correct answer: A
Rationale: To calculate Farmer Juan's profit, multiply the number of acres (14) by the yield per acre (17460 eggs) and by the profit per egg ($1.65): 14 acres * 17460 eggs * $1.65 = $403,326. Therefore, Farmer Juan should expect a profit of $403,326. Choice A is correct as it accurately calculates the total profit based on the given information. Choices B, C, and D are incorrect as they do not correctly compute the total profit from the provided data.
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