HESI A2
HESI A2 Math Practice Test 2024
1. What is 7 1/8 + 2 4/12 equal to?
- A. 9 11/24
- B. 10 1/3
- C. 8 3/8
- D. 7 7/24
Correct answer: A
Rationale: To add mixed numbers, first convert the fractions to a common denominator. The least common denominator between 8 and 12 is 24. Converting 7 1/8 to 7 3/24 (since 1/8 = 3/24) and 2 4/12 to 2 8/24 (since 4/12 = 8/24), we can add the whole numbers separately to get 9. Then, adding the fractions 3/24 and 8/24 gives 11/24. Therefore, 7 1/8 + 2 4/12 equals 9 11/24. Choice A is correct. Choices B, C, and D are incorrect as they do not reflect the correct addition of mixed numbers with the appropriate conversion of fractions.
2. How many more yellow balls must be added to the basket to make the yellow balls constitute 65% of the total number of balls?
- A. 35
- B. 50
- C. 65
- D. 70
Correct answer: B
Rationale: To find the total number of balls needed to make the yellow balls 65% of the total, let x be the total number of balls required. Initially, there are 15 yellow balls. The total number of balls would be 15 + x after adding more yellow balls. The equation to represent this is: (15 + x) / (15 + x) = 0.65 (since the yellow balls need to constitute 65% of the total). Solving this equation gives x = 50, indicating that 50 more yellow balls need to be added to the basket to reach the desired percentage. Choice A, C, and D are incorrect as they do not accurately represent the additional yellow balls needed to achieve the specified percentage.
3. Add 7/8 + 9/10 + 6/5. Express the result as a mixed number.
- A. 3 & 39/40
- B. 3 & 22/23
- C. 22/23
- D. 2 & 39/40
Correct answer: A
Rationale: To add fractions, find a common denominator, which in this case is 40. Convert each fraction to have the common denominator: 7/8 = 35/40, 9/10 = 36/40, and 6/5 = 48/40. Add these fractions to get 119/40. Simplify this improper fraction to a mixed number, which is 3 & 39/40. Choice B and C are incorrect as they do not represent the sum of the fractions. Choice D is incorrect; the whole number part should be 3, not 2.
4. Gerald can bake 3 dozen cookies in 30 minutes. How long will it take him to bake 12 dozen cookies?
- A. 90 minutes
- B. 1 hour 40 minutes
- C. 2 hours
- D. 4 hours
Correct answer: B
Rationale: If Gerald can bake 3 dozen cookies in 30 minutes, then he can bake 1 dozen cookies in 10 minutes (30 minutes / 3 = 10 minutes). To bake 12 dozen cookies, it would take him 120 minutes (12 dozen x 10 minutes = 120 minutes), which is equivalent to 1 hour and 40 minutes. Choice A (90 minutes) is incorrect because it does not account for the correct proportion of cookies baked. Choice C (2 hours) and Choice D (4 hours) are incorrect as they overestimate the time required based on the given information.
5. How many liters are there in 2,500 milliliters?
- A. 2.5 liters
- B. 25 liters
- C. 250 liters
- D. 25,000 liters
Correct answer: A
Rationale: There are 1,000 milliliters in a liter. To convert 2,500 milliliters to liters, you divide by 1,000: 2,500 milliliters / 1,000 = 2.5 liters. Therefore, choice A, '2.5 liters,' is the correct answer. Choice B, '25 liters,' is incorrect as it would be the result if you mistakenly multiplied instead of dividing. Choice C, '250 liters,' is incorrect as it is 100 times the correct answer. Choice D, '25,000 liters,' is significantly higher and not a conversion error but an order of magnitude error.
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