HESI A2
HESI A2 Math Portion
1. A lab needs 200ml of a 5% salt solution. They only have a 10% solution. How much 10% solution and water should be mixed?
- A. 100ml 10% solution, 100ml water
- B. 150ml 10% solution, 50ml water
- C. 160ml 10% solution, 40ml water
- D. 200ml 10% solution, 0ml water
Correct answer: B
Rationale: Rationale: 1. Let x be the volume of the 10% solution needed and y be the volume of water needed. 2. The total volume of the final solution is 200ml, so x + y = 200. 3. The concentration of the final solution is 5%, so the amount of salt in the final solution is 0.05 * 200 = 10g. 4. The amount of salt in the 10% solution is 0.1x, and the amount of salt in the water is 0, so the total amount of salt in the final solution is 0.1x. 5. Since the total amount of salt in the final solution is 10g, we have 0.1x = 10. 6. Solving for x, we get x = 100ml. 7. Substituting x =
2. At a comic book store, Robert purchased three comics for $2.65 each. If he paid with a $20 bill, how much change did he receive?
- A. $12.05
- B. $11.05
- C. $10.00
- D. $13.50
Correct answer: A
Rationale: Robert spent a total of $7.95 on three comics ($2.65 each). When he paid with a $20 bill, the change he received can be calculated by subtracting the total cost from the payment amount: $20 - $7.95 = $12.05. Therefore, Robert received $12.05 in change. Choice B ($11.05) is incorrect because it doesn't reflect the correct calculation. Choice C ($10.00) is incorrect as it doesn't consider the total cost of the comics. Choice D ($13.50) is incorrect as it overestimates the change Robert received.
3. What is the perimeter of a garden bed with a side length of 8 meters?
- A. 16m
- B. 24m
- C. 32m
- D. 64m
Correct answer: B
Rationale: The correct answer is B: 24m. The perimeter of a square is found by adding up all its sides. In this case, since the garden bed has a side length of 8 meters, the perimeter would be 8m + 8m + 8m + 8m = 24m. Choices A, C, and D are incorrect because they do not correctly calculate the perimeter of a square with a side length of 8 meters.
4. Which numeric system was a base 20 system?
- A. Mayan
- B. Babylonian
- C. Roman
- D. Arabic
Correct answer: A
Rationale: The Mayan numeric system was a base 20 system, known as vigesimal, as it used base 20 numerals. This system was unique and employed a combination of symbols and positional notation to represent numbers. The Babylonian system was a base 60 system, Roman numerals were based on combinations of letters, and Arabic numerals are in base 10, making choices B, C, and D incorrect.
5. If 30% of a given number is 18, what is the full number?
- A. 60
- B. 30
- C. 40
- D. 45
Correct answer: A
Rationale: If 30% of a number is 18, you can find the full number by dividing 18 by 0.30 (the decimal equivalent of 30%). This calculation results in 60. Therefore, the full number is 60. Choice B (30) is the result if 30% of the number itself was calculated, not the full number. Choices C (40) and D (45) are incorrect and do not align with the given information.
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