HESI A2
HESI A2 Math Practice
1. A woman received a bottle of perfume as a present. The bottle contains 3/4 oz of perfume. How many milliliters is this?
- A. 25 mL
- B. 22.5 mL
- C. 15 mL
- D. 20 mL
Correct answer: B
Rationale: To convert ounces to milliliters, multiply the number of ounces by 29.5735. 3/4 oz × 29.5735 ≈ 22.5 mL. Therefore, the correct answer is 22.5 mL. Choice A (25 mL) is incorrect as it does not result from the correct conversion. Choices C (15 mL) and D (20 mL) are also incorrect conversions.
2. In a scale drawing for a garden, 2 cm = 1 m. If the garden measures 8 cm by 10 cm in the drawing, how large will it be in reality?
- A. 2 m by 3 m
- B. 4 m by 5 m
- C. 8 m by 10 m
- D. 16 m by 20 m
Correct answer: C
Rationale: In the scale drawing, 2 cm represents 1 m. To find the actual dimensions of the garden in reality, we need to multiply the dimensions in the drawing by the scale factor. So, 8 cm x 2 = 16 cm in reality (length) and 10 cm x 2 = 20 cm in reality (width). Converting these to meters, the garden will be 16 m by 20 m. Choices A, B, and D are incorrect because they do not correctly apply the scale factor to determine the actual dimensions of the garden.
3. Later he spends $20 on bus tokens. How much is left from his original $100?
- A. $49.30
- B. $69.30
- C. $79.30
- D. $89.30
Correct answer: D
Rationale: If he spends $20 on bus tokens from his original $100, then the amount left is $100 - $20 = $80. The remaining 90% of $80 is calculated as $80 + 0.90 * $80 = $80 + $72 = $89.30. Therefore, the correct answer is $89.30. Choices A, B, and C are incorrect as they do not represent the correct calculation of the remaining amount after spending $20.
4. Change 1/6 to a percent.
- A. 16.67%
- B. 15%
- C. 14%
- D. 17%
Correct answer: A
Rationale: To convert 1/6 to a percentage, you multiply 1/6 by 100. This gives you 16.67%. Choice A is correct. Choice B, 15%, is incorrect as it is the rounded value of 1/6 as a percentage. Choice C, 14%, and Choice D, 17%, are also incorrect as they do not represent the accurate conversion of 1/6 to a percentage.
5. What is the sum of 1/3, 1/4, and 1/6?
- A. 5/12
- B. 1/2
- C. 1/3
- D. 1/4
Correct answer: B
Rationale: To find the sum of 1/3, 1/4, and 1/6, we need to first find a common denominator. The least common multiple of 3, 4, and 6 is 12. So, we rewrite the fractions with the common denominator: 1/3 = 4/12, 1/4 = 3/12, and 1/6 = 2/12. Adding these fractions together gives us 4/12 + 3/12 + 2/12 = 9/12, which simplifies to 3/4 or 1/2. Therefore, the correct answer is 1/2. Choice A (5/12) is incorrect because it does not represent the sum of the fractions given. Choices C (1/3) and D (1/4) are also incorrect as they are individual fractions and do not represent the sum of the fractions provided.
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