HESI A2
HESI A2 Practice Test Math
1. If x = -2 and m = -3, evaluate: xm - 2m
- A. 12
- B. 6
- C. 8
- D. 10
Correct answer: A
Rationale: Substitute x = -2 and m = -3 into the expression: (-2) * (-3) - 2 * (-3) = 6 + 6 = 12. Therefore, the correct answer is 12. The mistake in the other choices lies in the calculation. Choice B, 6, is the result of adding the two terms instead of subtracting the second term from the first. Choice C, 8, and Choice D, 10, are also incorrect as they do not follow the correct calculation process.
2. How many kilograms are equivalent to 20 pounds?
- A. 9 kilograms
- B. 16 kilograms
- C. 44 kilograms
- D. 3 kilograms
Correct answer: A
Rationale: To convert pounds to kilograms, you need to multiply the number of pounds by 0.4536. Therefore, to find out how many kilograms are in 20 pounds, you would calculate 20 x 0.4536 = 9.072 kilograms, which is approximately 9 kilograms. Choice A is correct. Choice B (16 kilograms), Choice C (44 kilograms), and Choice D (3 kilograms) are all incorrect conversions of pounds to kilograms.
3. If the outside temperature is currently 15 degrees on the Celsius scale, what is the approximate temperature on the Fahrenheit scale?
- A. 59°F
- B. 61°F
- C. 63.5°F
- D. 65.2°F
Correct answer: A
Rationale: To convert Celsius to Fahrenheit, you can use the formula: (°C × 9/5) + 32 = °F. Substituting 15°C into the formula gives us (15 × 9/5) + 32 = 59°F. Therefore, the approximate temperature on the Fahrenheit scale for 15 degrees Celsius is 59 degrees Fahrenheit. Choice B, C, and D are incorrect as they do not align with the correct conversion formula and calculation.
4. What number is represented by the Roman Numerals XLIV?
- A. 34
- B. 54
- C. 44
- D. 24
Correct answer: C
Rationale: In Roman numerals, XL represents 40, and IV represents 4. When XL (40) is combined with IV (4), it forms XLIV, which corresponds to the number 44. Therefore, the correct answer is 44. Choice A (34) is incorrect as it does not consider the value of XL and IV. Choice B (54) is incorrect as it miscalculates the value of XL. Choice D (24) is incorrect as it does not account for the value of XL.
5. What is the result of adding 12 1/21 and 3 1/3?
- A. 15 8/21
- B. 16 5/24
- C. 15
- D. 14
Correct answer: A
Rationale: To add 12 1/21 and 3 1/3, first add the whole numbers: 12 + 3 = 15. Then, add the fractions: 1/21 + 1/3. To find a common denominator, multiply 21 by 3 to get 63. Convert 1/21 to an equivalent fraction with a denominator of 63 by multiplying the numerator and denominator by 3, resulting in 3/63. Now add 3/63 (equivalent to 1/21) and 21/63 (equivalent to 1/3) to get 24/63. Simplifying 24/63 gives 8/21. Therefore, the sum is 15 8/21. Choices B, C, and D are incorrect because they do not result from the correct addition of the given numbers and fractions.
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