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HESI A2

HESI A2 Math 2024

1. Add and simplify: 4⅔ + 6½ =

Correct answer: C

Rationale: To add 4⅔ and 6½, we first need to convert the fractions to have the same denominator. Converting 4⅔ to 6ths gives us 8/6, and 6½ to 6ths gives us 7/2. Adding them together gives 15/2, which simplifies to 7½ or 9⅙. Therefore, the correct answer is 9⅙. Choices A, B, and D are incorrect as they do not represent the correct sum of the fractions after conversion and simplification.

2. Express 4/5 as a percent.

Correct answer: D

Rationale: To convert a fraction to a percentage, you multiply the fraction by 100. To express 4/5 as a percent, you perform the calculation 4/5 * 100 = 80%. Therefore, the correct answer is D, 80%. Choices A, B, and C are incorrect as they do not represent the correct conversion of 4/5 to a percentage.

3. 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.

4. What is the result of adding 5 2/9 and 1 2/9?

Correct answer: A

Rationale: To add mixed numbers with fractions, first add the whole numbers together: 5 + 1 = 6. Then add the fractions: 2/9 + 2/9 = 4/9. Combining the whole number and the fraction parts gives 6 4/9. Therefore, the correct answer is 6 4/9. Choice B (7 5/9) is incorrect as the fractions were not added correctly. Choice C (7) is incorrect as it does not account for the fractions. Choice D (5 2/9) is one of the original numbers and not the sum of both.

5. How many inches are in 3.5 yards?

Correct answer: A

Rationale: To convert yards to inches, we use the conversion factor that 1 yard is equal to 36 inches. Therefore, 3.5 yards is equal to 3.5 multiplied by 36, which equals 126 inches. The correct answer is 126 inches. Choices B (144 inches), C (132 inches), and D (120 inches) are incorrect because they do not correctly calculate the conversion from yards to inches using the conversion factor of 1 yard equals 36 inches.

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