HESI A2
Math HESI A2 Practice Test
1. Subtract 15 3/4 - 8 2/5.
- A. 7 7/20
- B. 6 7/20
- C. 9 1/5
- D. 8 2/5
Correct answer: A
Rationale: To subtract mixed numbers, find a common denominator. In this case, the common denominator is 20. Convert 15 3/4 to 15 15/20. Then, subtract 15 15/20 - 8 8/20 = 7 7/20. Therefore, the correct answer is A. Choice B is incorrect as it does not match the result of the subtraction. Choice C is incorrect as it is not the result of the subtraction. Choice D is incorrect as it represents the second number being subtracted, not the result of the subtraction.
2. 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.
3. Solve for y if y = 3: 4y + 21 / y.
- A. 7.7
- B. 19
- C. 23/3
- D. 11
Correct answer: B
Rationale: To solve for y, substitute y = 3 into the equation: 4(3) + 21 / 3 = 12 + 7 = 19. Therefore, the correct answer is 19. Choice A (7.7) is incorrect as it does not result from the substitution. Choice C (23/3) is incorrect as it does not match the calculated value. Choice D (11) is incorrect, as it is not the result of the provided equation.
4. 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.
5. Convert 2 teaspoons to milliliters.
- A. 4.3 milliliters
- B. 9 milliliters
- C. 9.86 milliliters
- D. 4 milliliters
Correct answer: C
Rationale: To convert teaspoons to milliliters, we use the conversion factor of 1 teaspoon = approximately 4.93 milliliters. Multiplying 2 teaspoons by 4.93 gives us 9.86 milliliters. Therefore, the correct answer is 9.86 milliliters. Choice A (4.3 milliliters) is incorrect as it doesn't align with the conversion factor. Choice B (9 milliliters) is incorrect because it doesn't consider the precise conversion factor. Choice D (4 milliliters) is incorrect as it doesn't account for the accurate conversion from teaspoons to milliliters.
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