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HESI A2

HESI A2 Math Practice Test 2022

1. What is the result of adding 12 1/21 and 3 1/3?

Correct answer: A

Rationale: To add 12 1/21 and 3 1/3, first add the whole numbers: 12 + 3 = 15. Then, add the fractions: 1/21 + 1/3. To find a common denominator, multiply 21 by 3 to get 63. Convert 1/21 to an equivalent fraction with a denominator of 63 by multiplying the numerator and denominator by 3, resulting in 3/63. Now add 3/63 (equivalent to 1/21) and 21/63 (equivalent to 1/3) to get 24/63. Simplifying 24/63 gives 8/21. Therefore, the sum is 15 8/21. Choices B, C, and D are incorrect because they do not result from the correct addition of the given numbers and fractions.

2. You need 4/5 cups of water for a recipe. You accidentally put 1/3 cups into the mixing bowl with the dry ingredients. How much more water in cups do you need to add?

Correct answer: A

Rationale: To find how much more water is needed, subtract 1/3 cup from 4/5 cup. First, find a common denominator: The least common denominator between 5 and 3 is 15. Convert the fractions: 4/5 = 12/15, 1/3 = 5/15. Now, subtract: 12/15 - 5/15 = 7/15. Therefore, you need to add 7/15 cups of water. Choice B (2/3 cups) is incorrect because it does not represent the correct amount of additional water needed. Choice C (1/3 cups) is incorrect because this is the amount of water that was accidentally added. Choice D (1/15 cups) is incorrect as it does not reflect the correct calculation of the additional water required.

3. If y = 4 and x = 3, solve y x³

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. A table top has dimensions of 75cm by 50cm. What is its perimeter if opposite sides are equal?

Correct answer: B

Rationale: Rationale: - Given that the table top has dimensions of 75cm by 50cm. - Since opposite sides are equal, the table top can be divided into two pairs of equal sides: 75cm and 50cm. - To find the perimeter, we add up all four sides: 75cm + 50cm + 75cm + 50cm = 250cm. - However, since opposite sides are equal, we only need to consider two sides: 75cm + 50cm = 125cm. - Therefore, the perimeter of the table top is 125cm + 125cm = 150cm. - Hence, the correct answer is B) 150cm.

5. Which of these dates is represented by the Roman numeral MDXVI?

Correct answer: D

Rationale: The Roman numeral MDXVI translates to 1516 in Arabic numerals. The Roman numeral 'M' represents 1000, 'D' represents 500, 'X' represents 10, and 'VI' represents 6, which adds up to 1516. Therefore, the correct answer is 1516. Choices A, B, and C are incorrect as they do not match the Roman numeral MDXVI.

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