HESI A2 Math Portion

HESI A2 Math Portion Related

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Rebecca is able to paint 12 pickets on her picket fence in an hour. Her fence is 72 feet long, with 2 pickets per foot. How long will it take her to paint the fence?

  • A. 2.4 hours
  • B. 6 hours
  • C. 12 hours
  • D. 16.4 hours
Correct Answer: B

Rationale: Rebecca can paint 12 pickets in 1 hour, which means she can paint 12 * 2 = 24 pickets in an hour. Since the fence is 72 feet long with 2 pickets per foot, she needs to paint a total of 72 * 2 = 144 pickets. If she paints 24 pickets per hour, it will take her 144 / 24 = 6 hours to paint the entire fence. Choice A (2.4 hours) is incorrect because it does not consider the total number of pickets on the fence. Choice C (12 hours) is incorrect as it overestimates the time needed based on her painting rate. Choice D (16.4 hours) is incorrect as it miscalculates the time required to paint the entire fence.

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What time is 6:30 A.M. in military time?

  • A. 0630
  • B. 6030
  • C. 1503
  • D. 1530
Correct Answer: A

Rationale: Military time uses a 24-hour clock format where the hours range from 00 to 23. In this format, 6:30 A.M. is expressed as 0630. Choice B (6030) and Choice C (1503) are incorrect as they do not follow the 24-hour clock format. Choice D (1530) represents 3:30 P.M., not 6:30 A.M.

Write the date 1776 in Roman numerals.

  • A. MDCCLXXVI
  • B. MDDLXXI
  • C. MCCDLXVI
  • D. MCMLXXVI
Correct Answer: A

Rationale: In Roman numerals, 1776 is correctly written as MDCCLXXVI. Here's the breakdown: M (1000) + D (500) + CCC (300) + L (50) + XX (20) + VI (6) = 1776. Therefore, the correct Roman numeral representation of the date 1776 is MDCCLXXVI. Choice A is correct because it follows the correct Roman numeral rules for representing 1776. Choices B, C, and D are incorrect as they do not add up to 1776 according to Roman numeral conventions.

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.

What is 110% of 40?

  • A. 60
  • B. 50
  • C. 55
  • D. 44
Correct Answer: D

Rationale: To find 110% of a number, you multiply the number by 1.10. Therefore, 1.10 * 40 = 44. Since 110% of 40 is 44, the correct answer is D. Choice A (60) is the result of finding 150% of 40, not 110%. Choice B (50) is incorrect as it represents 125% of 40. Choice C (55) is not the correct answer as it corresponds to 137.5% of 40.

Divide: 92 · 11 =

  • A. 8 r3
  • B. 8 r4
  • C. 8 r7
  • D. 9 r1
Correct Answer: B

Rationale: To divide 92 by 11, you get 8 as the whole number part of the quotient. The remainder is 4, so the correct answer is 8 r4. Choice A, 8 r3, is incorrect because the remainder is 4, not 3. Choice C, 8 r7, is incorrect as the remainder cannot be greater than the divisor. Choice D, 9 r1, is incorrect as the whole number part of the quotient is 8, not 9.

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