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 meters are in 2 kilometers?
- A. 100 meters
- B. 200 meters
- C. 2000 meters
- D. 3000 meters
Correct answer: C
Rationale: 1 kilometer equals 1,000 meters. Therefore, 2 kilometers equals 2,000 meters. Choice A, 100 meters, is incorrect as it represents only 1/10th of a kilometer. Choice B, 200 meters, is incorrect as it represents only 1/5th of a kilometer. Choice D, 3000 meters, is incorrect as it miscalculates the conversion from kilometers to meters.
3. Ratio and proportion: 6:10=24:x
- A. 40
- B. 25
- C. 240
- D. 4
Correct answer: A
Rationale: To solve for x, use cross-multiplication: 6x = 10 x 24 6x = 240 Now, divide both sides by 6 to find x: x = 240 / 6 = 40 Therefore, the correct answer is A. 40. Choice B, 25, is incorrect because it does not satisfy the proportion. Choice C, 240, is incorrect because it represents the value that is given in the proportion and not the value of x. Choice D, 4, is incorrect as it does not align with the correct calculation for x.
4. If a party planner assumes 2 bottles of sparkling water per 5 guests, how many bottles must she purchase for a party of 145 guests?
- A. 27
- B. 36
- C. 49
- D. 58
Correct answer: D
Rationale: If the party planner assumes 2 bottles of sparkling water per 5 guests, for a party of 145 guests, she would need ((2/5) x 145) bottles of sparkling water. This calculation results in 58 bottles. Therefore, she must purchase 58 bottles for the party of 145 guests. Choices A, B, and C are incorrect as they do not reflect the correct calculation based on the given assumption.
5. Given 15:x=3:8, find x.
- A. x=40
- B. x=20
- C. x=30
- D. x=10
Correct answer: A
Rationale: To find x, we set up the proportion 15:x = 3:8. Cross multiply to get 15*8 = 3*x, which simplifies to 120 = 3x. Dividing by 3 on both sides gives x = 40. Therefore, x=40 is the correct answer. Choices B, C, and D are incorrect because they do not match the correct calculation. Option B results from incorrectly dividing 15 by 3 instead of multiplying it by 8. Option C comes from dividing 15 by 3, and Option D is the result of dividing 15 by 8 instead of multiplying by 3.
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