HESI A2
HESI A2 Math Portion
1. A plan for a shed is drawn on a 1:10 scale. If the roof of the real shed measures 4 feet by 5 feet, what were the measurements on the plan?
- A. 80 inches by 100 inches
- B. 40 inches by 50 inches
- C. 4.8 inches by 6 inches
- D. 4 inches by 5 inches
Correct answer: B
Rationale: When the real shed roof measures 4 feet by 5 feet, on a 1:10 scale plan, the measurements on the plan would be 1/10 of the real measurements. Therefore, the correct answer is 40 inches by 50 inches since it represents 1/10 of 4 feet by 5 feet. Choice A (80 inches by 100 inches) is incorrect because it is equivalent to the real shed measurements, not the scaled plan. Choice C (4.8 inches by 6 inches) is incorrect as it does not reflect the 1:10 scale reduction. Choice D (4 inches by 5 inches) is incorrect because it does not consider the scale factor of 1:10.
2. Write the date 2007 in Roman numerals.
- A. MMVII
- B. MDVII
- C. MMDII
- D. MMXD
Correct answer: A
Rationale: In Roman numerals, the date 2007 is correctly represented as MMVII. The Roman numeral M stands for 1000, and when repeated twice (MM), it represents 2000. The Roman numeral V represents 5, and when followed by II (two ones), it correctly represents 2007. Choice B (MDVII) is incorrect because D represents 500, and 2007 is greater than that. Choice C (MMDII) is incorrect because D represents 500, and there are two of them, making it 1000, not 2000. Choice D (MMXD) is incorrect as XD is an invalid Roman numeral combination.
3. Which of these dates is represented by the Roman numeral MDXVI?
- A. 1106
- B. 1116
- C. 1506
- D. 1516
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.
4. How many pints are in 56 ounces?
- A. 3.5 pints
- B. 4 pints
- C. 3 pints
- D. 4.5 pints
Correct answer: A
Rationale: To convert ounces to pints, you need to know that 1 pint is equivalent to 16 ounces. Therefore, to find how many pints are in 56 ounces, you divide 56 by 16, which equals 3.5 pints. Hence, the correct answer is 3.5 pints. Choice B, 4 pints, is incorrect because it doesn't account for the conversion factor of 16 ounces per pint. Choice C, 3 pints, is incorrect as it is less than the actual conversion result. Choice D, 4.5 pints, is incorrect as it overestimates the number of pints in 56 ounces.
5. Convert 2 teaspoons to milliliters.
- A. 4.3 milliliters
- B. 9 milliliters
- C. 9.86 milliliters
- D. 4 milliliters
Correct answer: C
Rationale: To convert teaspoons to milliliters, we use the conversion factor of 1 teaspoon = approximately 4.93 milliliters. Multiplying 2 teaspoons by 4.93 gives us 9.86 milliliters. Therefore, the correct answer is 9.86 milliliters. Choice A (4.3 milliliters) is incorrect as it doesn't align with the conversion factor. Choice B (9 milliliters) is incorrect because it doesn't consider the precise conversion factor. Choice D (4 milliliters) is incorrect as it doesn't account for the accurate conversion from teaspoons to milliliters.
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