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 of 6 miles in 1.5 hours, and the fourth set of 6 miles 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 find the total time taken to complete the 24-mile course, you add the time taken for each set of 6 miles: 1 hour + 1.2 hours + 1.5 hours + 1.6 hours = 5.3 hours. Therefore, it took her 5.3 hours to complete the course. Each set of 6 miles is a segment of the total 24-mile course. By adding the time taken for each segment, you can determine the total time taken to complete the entire course.

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What is the result of subtracting 12.02 from 9.99?

  • A. 7.97
  • B. 2.03
  • C. -2.03
  • D. 3.17
Correct Answer: C

Rationale: To find the result of subtracting 12.02 from 9.99, you need to perform the operation 9.99 - 12.02, which equals -2.03. The correct answer is C, -2.03, because when subtracting a larger number from a smaller one, the result will be negative. Therefore, the correct calculation is 9.99 - 12.02 = -2.03. It's important to remember that when subtracting numbers, the order matters, and subtracting the larger number from the smaller one will result in a negative difference.

Multiply 4/9 x 1 4/5 x 2/5

  • A. 8/25
  • B. 1 & 10/19
  • C. 7/16
  • D. 1 & 32/45
Correct Answer: A

Rationale: To multiply the given fractions, first convert the mixed numbers to improper fractions. 1 4/5 = (5*1 + 4)/5 = 9/5. Now the expression becomes 4/9 * 9/5 * 2/5. Multiply the numerators together and the denominators together to get (4*9*2)/(9*5*5) = 72/225. Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 9, to get 8/25. Therefore, the correct answer is 8/25.

Add: 1/4 + 3/8 =

  • A. 5/8
  • B. 1/2
  • C. 4/12
  • D. 1/3
Correct Answer: A

Rationale: To add the fractions, first convert 1/4 to a common denominator with 3/8. The common denominator is 8: (1/4) = 2/8. Then, add: 2/8 + 3/8 = 5/8. Therefore, the correct answer is A) 5/8.

Karen goes to the grocery store with $40. She buys 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. $31.90
  • 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 her purchases from the amount she started with. The total cost of her purchases is calculated by adding the prices of the carton of milk, loaf of bread, and bunch of bananas: $1.85 + $3.20 + $3.05 = $8.10. By subtracting $8.10 from the $40 Karen started with, we get $31.90. Therefore, Karen has $31.90 left after buying the items.

Add 7/8 + 9/10 + 6/5 as mixed numbers.

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

Rationale: To add fractions, it is essential to have a common denominator. The least common multiple of 8, 10, and 5 is 40. Converting each fraction to have a denominator of 40, we get 7/8 as 35/40, 9/10 as 36/40, and 6/5 as 48/40. Adding the numerators gives 35 + 36 + 48 = 119. This is equivalent to 2 wholes (40/40) and a remainder of 39/40. Therefore, the sum is 2 & 39/40.

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