HESI A2
HESI A2 Math Practice Test
1. Louise wins $25 in a raffle at the fair. She spends $50 on an apple pie and $25 on lemonade. How much of her winnings does she take home?
- A. $12.75
- B. $16.25
- C. $18.25
- D. $19.50
Correct answer: B
Rationale: Louise's total spending is $50 + $25 = $75. To find out how much of her winnings she takes home, we need to subtract her total spending from her winnings: $25 - $75 = -$50. Louise actually loses $50 as she spends more than her winnings. Therefore, she doesn't take home any money and would be in debt by $50. The correct answer is $25 - $75 = -$50, indicating that she does not take home any winnings and is in a deficit.
2. The price of an item increased from $9.00 to $10.00. What percentage did the price increase by?
- A. 5%
- B. 11.11%
- C. 20%
- D. 25%
Correct answer: B
Rationale: To calculate the percentage increase, subtract the original price from the new price, then divide the result by the original price and multiply by 100. In this case, the increase is $10.00 - $9.00 = $1.00. $1.00 divided by $9.00 is approximately 0.1111, which equals 11.11%, making choice B the correct answer. Choice A, 5%, is too low as the increase is more than 5%. Choice C, 20%, and choice D, 25%, are too high, exaggerating the actual increase of $1.00.
3. A water fountain has a spherical base with a diameter of 50cm and a cylindrical body with a diameter of 30cm and a height of 80cm. What is the total surface area of the fountain (excluding the water surface)?
- A. 3142 sq cm
- B. 4712 sq cm
- C. 5486 sq cm
- D. 7957 sq cm
Correct answer: C
Rationale: To find the total surface area of the fountain, we first calculate the surface area of the sphere and the cylinder separately. For the sphere: - Radius = Diameter / 2 = 50 / 2 = 25 cm - Surface area of a sphere = 4πr² = 4 x π x 25² = 500π cm² For the cylinder: - Radius = Diameter / 2 = 30 / 2 = 15 cm - Surface area of a cylinder = 2πrh + 2πr² = 2 x π x 15 x 80 + 2 x π x 15² = 240π + 450π = 690π cm² Total surface area = Surface area of sphere + Surface area of cylinder = 500π + 690π = 1190π cm² ≈ 5486 sq cm. Therefore, the correct answer is C. Choice A (3142 sq cm) is incorrect as it is much smaller than the correct answer. Choices B and D are also incorrect as they do not reflect the accurate calculation of the total surface area of the fountain.
4. If Mr. Parker owns 150 shares of stock in Stark Industries and receives $180.00 per year in dividends, how much does Mr. Rogers receive for an annual dividend if he owns 400 shares?
- A. $480
- B. $500
- C. $450
- D. $72,000
Correct answer: A
Rationale: To find out how much Mr. Rogers receives for an annual dividend with 400 shares, we can set up a proportion: 400 shares is to X dollars as 150 shares is to $180. This gives us 400 * $180 / 150 = $480 in annual dividends. Therefore, the correct answer is A. Choice B, $500, is incorrect because it does not consider the proportionality of shares to dividend amount. Choice C, $450, is incorrect as it does not reflect the correct calculation based on the given information. Choice D, $72,000, is significantly higher and incorrect as it does not align with the proportionality of shares and dividends.
5. Convert 7 grams to milligrams.
- A. 700 mg
- B. 7,000 mg
- C. 70 mg
- D. 0.007 mg
Correct answer: B
Rationale: To convert grams to milligrams, you need to multiply by 1,000 since there are 1,000 milligrams in a gram. Therefore, 7 grams x 1,000 = 7,000 mg. Choice A (700 mg) is incorrect as it represents 700 grams, not milligrams. Choice C (70 mg) is incorrect as it implies that 7 grams is equivalent to 70 milligrams, which is inaccurate. Choice D (0.007 mg) is also incorrect since it represents a fraction of a milligram, significantly less than the original 7 grams.
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