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HESI A2

HESI A2 Math Practice Test 2023

1. What is the result of adding 7/8 + 9/10 + 6/5?

Correct answer: A

Rationale: To add fractions, you need to find a common denominator. The common denominator for 8, 10, and 5 is 40. Then, convert each fraction: 7/8 = 35/40, 9/10 = 36/40, and 6/5 = 24/40. Now, add the fractions: 35/40 + 36/40 + 24/40 = 95/40, which simplifies to 2 15/40 or 2 3/8. Therefore, 7/8 + 9/10 + 6/5 = 3 & 39/40. Choice B is incorrect because it does not represent the correct addition of the fractions. Choice C is incorrect as it does not account for the whole number part. Choice D is incorrect as it is not the sum of the fractions and whole numbers.

2. Find x if 40:5 = 60:x.

Correct answer: B

Rationale: To find x in the proportion 40:5 = 60:x, set up the equation: 40/5 = 60/x. Cross-multiply to solve for x: 40x = 60 * 5 => 40x = 300. Divide by 40 to isolate x: x = 300 / 40 = 7.5. However, x should be a whole number since it represents a quantity, so x = 7. Therefore, the correct answer is 7 (B). Choices A, C, and D are incorrect as they do not satisfy the proportion equation.

3. The physician ordered 10 units of regular insulin, and 200 U/mL are on hand. How many milliliters will you give?

Correct answer: D

Rationale: To calculate the volume of insulin to be given, you can use the formula: Volume (mL) = (Ordered dose in units / Concentration of insulin in units/mL). Substituting the values, Volume (mL) = (10 units / 200 U/mL) = 0.05 mL. Therefore, the correct answer is 0.05 mL. Choices A, B, and C are incorrect because they do not match the calculated volume based on the provided information.

4. 81:X::9:27. Find X.

Correct answer: B

Rationale: To find X in the given proportion 81:X::9:27, you can set up the equation 81/X = 9/27. Cross-multiplying gives 81 * 27 = 9 * X, which simplifies to 2187 = 9X. Dividing both sides by 9 results in X = 27. Therefore, the correct answer is B. Choice A (3) is incorrect as it does not satisfy the proportion. Choice C (21) is incorrect as it is not the correct value to make the proportion valid. Choice D (9) is incorrect as it does not align with the proportion provided.

5. Subtract 17 2\3 - 8 5\9.

Correct answer: B

Rationale: Find a common denominator to subtract: 17 2\3 - 8 5\9 = 9 1\9.

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