HESI Mathematics

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A woman ran a 24-mile course. She ran the first 6 miles in 1 hour, the second set of 6 miles in 1.2 hours, the third set in 1.5 hours, and the fourth set in 1.6 hours. How long did it take her to complete the course?

  • A. 5.3 hours
  • B. 5.4 hours
  • C. 4 hours
  • D. 5 hours
Correct Answer: A

Rationale: To determine the total time taken to complete the 24-mile course, we sum the time taken for each set of 6 miles. The time taken for the first 6 miles is 1 hour, the second set of 6 miles took 1.2 hours, the third set took 1.5 hours, and the fourth set took 1.6 hours. Adding these times together: 1 + 1.2 + 1.5 + 1.6 = 5.3 hours. Therefore, it took her 5.3 hours to finish the 24-mile course.

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2.5:150 :: 20:x = ?

  • A. X = 3000
  • B. X = 1000
  • C. X = 1500
  • D. X = 1200
Correct Answer: D

Rationale: The analogy in the question presents the relationship between 2.5 and 150 as 2.5 multiplied by 60 equals 150. To find the value of x, we should determine what number, when multiplied by 20, equals x. Following the same pattern as the initial analogy, 20 multiplied by 60 equals 1200. Hence, x = 1200, making choice D the correct answer.

What is the result of adding: 6 3/4 + 8 1/6 = ?

  • A. 14 & 11/12
  • B. 12 & 3/24
  • C. 35/6
  • D. 14 & 2/5
Correct Answer: A

Rationale: To add the mixed numbers 6 3/4 and 8 1/6, first convert them to improper fractions. 6 3/4 becomes 27/4, and 8 1/6 becomes 49/6. When you add these fractions, you get 76/6, which simplifies to 12 & 2/3. Converting 12 & 2/3 back to a mixed number gives 14 & 11/12. Therefore, the correct sum of 6 3/4 + 8 1/6 is 14 & 11/12.

Convert 4/5 to a decimal.

  • A. 0.08
  • B. 0.375
  • C. 1.25
  • D. 0.8
Correct Answer: D

Rationale: To convert 4/5 to a decimal, you divide the numerator (4) by the denominator (5): 4 ÷ 5 = 0.8. Therefore, the correct answer is D. Choice A (0.08) is incorrect as it represents 8/100, not 4/5. Choice B (0.375) is incorrect as it is the decimal form of 3/8, not 4/5. Choice C (1.25) is incorrect as it is the decimal form of 5/4, not 4/5.

What is 7/8 + 9/10 + 6/5 as a mixed number?

  • A. 3 22/23
  • B. 3 39/40
  • C. 22/23
  • D. 2 39/40
Correct Answer: A

Rationale: To add these fractions, first find a common denominator, which is 40 in this case. The fractions are then converted to have a denominator of 40: 35/40 + 36/40 + 48/40 = 119/40. On simplification, 119/40 equals 2 39/40. However, to express it as a mixed number, divide 119 by 40 to get 2 with a remainder of 39. Therefore, the correct mixed number form is 3 22/23.

Karen went to the grocery store with $40. She bought a carton of milk for $1.85, a loaf of bread for $3.20, and a bunch of bananas for $3.05. How much money does she have left?

  • A. $30.95
  • B. $31.90
  • C. $32.10
  • D. $34.95
Correct Answer: B

Rationale: To determine how much money Karen has left, we need to subtract the total cost of the items she purchased from the initial amount. The total cost of the items is $1.85 + $3.20 + $3.05 = $8.10. Subtracting $8.10 from $40, we find $40 - $8.10 = $31.90. Therefore, Karen has $31.90 remaining after buying the items.

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