which of these dates is represented by the roman numeral mmxv
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HESI A2

HESI A2 Math Practice Test

1. Which of these dates is represented by the Roman numeral MMXV?

Correct answer: B

Rationale: The Roman numeral MMXV represents the year 2015. In Roman numerals, M represents 1000, X represents 10, and V represents 5. Therefore, by converting the Roman numeral MMXV into its numerical equivalent (1000 + 10 + 5), it corresponds to the year 2015. Choice A (2001) is incorrect as it would be represented as MM + I, choice C (2051) would be represented as MM + LI, and choice D (2105) would be represented as MMCV in Roman numerals, making them all inaccurate representations of MMXV.

2. A farmer wants to plant trees around the outside boundaries of his rectangular field with dimensions of 650 meters × 780 meters. Each tree requires 5 meters of free space all around it from the stem. How many trees can he plant?

Correct answer: C

Rationale: To determine the number of trees, reduce the field dimensions by 10 meters (5 meters of space on each side). The effective area is 640 meters × 770 meters. Each tree occupies 10 meters × 10 meters. Dividing the effective area by the space for each tree gives: (640 × 770) ÷ (10 × 10) = 286 trees. Choice A, B, and D are incorrect because they do not consider the reduction in field dimensions and the space required for each tree.

3. Jeff needed a 6 ft. rope. He found 2 pieces of rope and thought maybe he could tie them together. One rope was 40 inches and the other was 36 inches. How long would the rope be, and would he have enough rope if he ties them together?

Correct answer: B

Rationale: To convert 6 feet to inches, we multiply 6 by 12 (1 foot = 12 inches), giving us 72 inches needed. By adding the lengths of the two ropes (40 inches + 36 inches), Jeff would have a total of 76 inches, which is more than the 72 inches required. Therefore, he would have enough rope if he ties them together. Choice A and D are incorrect because they misinterpret the conversion from feet to inches. Choice C is incorrect as it does not consider the actual combined length of the two ropes.

4. What is 54% of $789.56?

Correct answer: A

Rationale: To calculate 54% of $789.56, you multiply 0.54 by 789.56, which equals $426.36. Therefore, choice A, $426.36, is the correct answer. Choice B, $426.37, is incorrect as it is a slightly higher value. Choice C, $363.20, is incorrect as it is significantly lower than the correct answer. Choice D, $526.38, is incorrect as it is higher than the correct calculation result.

5. Which of these percentages equals 1.25?

Correct answer: D

Rationale: To convert 1.25 to a percentage, multiply by 100. Therefore, 1.25 equals 125%. The correct answer is D because 125% is the percentage that represents 1.25. Choices A, B, and C are incorrect. A (1250%) is 10 times greater than the correct answer, B (25%) is 100 times smaller, and C (50%) is 2 times smaller than the correct percentage equivalent of 1.25.

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