ratio and proportion 61024x
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HESI A2

HESI A2 Math Practice Test 2024

1. Ratio and proportion: 6:10=24:x

Correct answer: A

Rationale: To solve for x, use cross-multiplication: 6x = 10 x 24 6x = 240 Now, divide both sides by 6 to find x: x = 240 / 6 = 40 Therefore, the correct answer is A. 40. Choice B, 25, is incorrect because it does not satisfy the proportion. Choice C, 240, is incorrect because it represents the value that is given in the proportion and not the value of x. Choice D, 4, is incorrect as it does not align with the correct calculation for x.

2. A woman received a bottle of perfume as a present. The bottle contains 1/2 oz of perfume. How many milliliters is this?

Correct answer: A

Rationale: 1/2 oz of perfume is equal to approximately 15 mL. To convert ounces to milliliters, we need to know that 1 oz is approximately 30 mL. Therefore, half an ounce, which is 1/2 oz, would be half of 30 mL, which equals 15 mL. Choice B, 20 mL, is incorrect as it does not correspond to the conversion factor of 1 oz to 30 mL. Choice C, 10 mL, is incorrect as it is half of the actual value. Choice D, 50 mL, is incorrect as it is the value of 1 oz rather than half an ounce.

3. Add: 1.332 + 0.067

Correct answer: A

Rationale: To find the sum of 1.332 and 0.067, add the two numbers correctly: 1.332 + 0.067 = 1.399. Therefore, the correct answer is A. Choice B (1.4) is incorrect because it rounds down the sum, not considering the precise value. Choice C (1.402) is incorrect as it results from adding 1.332 and 0.070 instead of 0.067. Choice D (1.5) is not the correct sum of the given numbers.

4. Solve for x: 3(x - 4) = 18.

Correct answer: A

Rationale: To solve the equation, begin by distributing the 3 on the left side: 3x - 12 = 18. Next, add 12 to both sides to isolate x: 3x = 30. Finally, divide by 3 to determine the value of x: x = 10. Therefore, the correct answer is x = 10. Choice B, x = 12, is incorrect as the correct value of x is 10, not 12. Choice C, x = 5, is incorrect as it does not satisfy the equation after substitution. Choice D, x = 3, is incorrect as it does not fulfill the equation when substituted back.

5. If a person consumes 500 calories per meal, how many calories will they consume in 3 meals?

Correct answer: B

Rationale: To find the total calories consumed in 3 meals, you multiply the number of meals by the calories per meal: 3 meals x 500 calories/meal = 1500 calories. Therefore, the correct answer is 1500 calories. Choice A (1000 calories) is incorrect because it miscalculates the total calories. Choice C (2000 calories) is incorrect as it overestimates the total calories. Choice D (500 calories) is incorrect as it represents the calories consumed in a single meal, not in 3 meals.

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