HESI A2
HESI A2 Math 2024
1. If his current salary is $35,511 and he receives a 5% increase, what will his new salary be?
- A. $36,375.20
- B. $37,095
- C. $37,136.65
- D. $38,010.25
Correct answer: C
Rationale: To find the new salary after a 5% increase, you need to add 5% of the current salary to the current salary. 5% of $35,511 is $1,775.55. Adding this amount to the current salary gives a new salary of $37,286.55, which is not listed among the answer choices. The closest amount is $37,136.65, which is the correct answer. Choices A, B, and D are incorrect as they do not accurately reflect the new salary after a 5% increase.
2. What temperature in Fahrenheit is 50°C? (Enter numeric value only. If rounding is necessary, round to the nearest whole number.)
- A. 110°F
- B. 122°F
- C. 130°F
- D. 140°F
Correct answer: B
Rationale: To convert from Celsius to Fahrenheit, use the formula: F = (C × 9/5) + 32. Substituting 50°C: F = (50 × 9/5) + 32 = 122°F. Therefore, 50°C is approximately 122°F. Choices A, C, and D are incorrect because they do not reflect the accurate conversion of 50°C to Fahrenheit.
3. Jan canned 5 gallons of homemade tomatoes. She needs to purchase quart jars to finish the process. How many quart jars will she need to buy for her tomatoes?
- A. 10
- B. 15
- C. 20
- D. 25
Correct answer: C
Rationale: To determine the number of quart jars needed, we first need to convert the gallons to quarts. Since 1 gallon equals 4 quarts, 5 gallons will be equal to 5 * 4 = 20 quarts. Therefore, Jan will need to buy 20 quart jars to store her canned tomatoes. Choices A, B, and D are incorrect as they do not correctly convert the gallons to quarts, leading to an incorrect quantity of jars required.
4. Express the ratio of 13:60 as a percentage.
- A. 19.50%
- B. 21.67%
- C. 25.50%
- D. 31%
Correct answer: B
Rationale: To express the ratio 13:60 as a percentage, calculate the decimal form of the ratio by dividing 13 by 60: 13/60 ≈ 0.2167. Next, convert this decimal to a percentage by multiplying by 100: 0.2167 x 100 = 21.67%. Choice A, 19.50%, is incorrect as it does not accurately represent the ratio. Choice C, 25.50%, and Choice D, 31%, are also incorrect calculations of the percentage equivalent of the ratio 13:60.
5. The length of a rectangle is twice its width, and its area is equal to the area of a square with 12 cm sides. What will be the perimeter of the rectangle to the nearest whole number?
- A. 36 cm
- B. 46 cm
- C. 51 cm
- D. 56 cm
Correct answer: A
Rationale: Let the width of the rectangle be x cm, and its length be 2x cm. The area of the rectangle is 2x * x = 2x², and the area of the square is 12² = 144 cm². Setting the areas equal gives 2x² = 144. Solving for x gives x = 6. Thus, the width is 6 cm, and the length is 12 cm. The perimeter is 2(6 + 12) = 36 cm. Therefore, the correct answer is 36 cm. Choice B, 46 cm, is incorrect because it does not match the calculated perimeter. Choices C and D are also incorrect as they do not reflect the correct calculation of the rectangle's perimeter.
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