HESI A2
HESI A2 Math Practice Test 2022
1. What is the volume of an Egyptian model pyramid with a square base side length of 10cm and a height of 8cm?
- A. 20 cu cm
- B. 40 cu cm
- C. 80 cu cm
- D. 160 cu cm
Correct answer: D
Rationale: To find the volume of a pyramid, we use the formula: Volume = (1/3) * base area * height. First, calculate the base area by squaring the base side length: 10cm * 10cm = 100 sq cm. Substitute the values into the formula: Volume = (1/3) * 100 sq cm * 8cm = 80 cu cm. Therefore, the correct answer is 160 cu cm. Choices A, B, and C are incorrect because they do not correctly calculate the volume of the pyramid based on the given dimensions.
2. What is the result of adding 6 3/4 + 8 1/6?
- A. 14 & 11/12
- B. 12 & 3/24
- C. 35/6
- D. 14 & 2/5
Correct answer: A
Rationale: To add mixed numbers, first convert them to improper fractions. 6 3/4 = 27/4 and 8 1/6 = 49/6. Finding a common denominator, we get 27/4 + 49/6 = 81/12 + 98/12 = 179/12 = 14 & 11/12. Therefore, the correct answer is A. Choice B is incorrect as it does not simplify to the correct result. Choice C is in fraction form and not in mixed number form, making it incorrect. Choice D is not the correct sum of the given mixed numbers, so it is also incorrect.
3. How many grams are in 4 kilograms?
- A. 4000 grams
- B. 3000 grams
- C. 4500 grams
- D. 3500 grams
Correct answer: A
Rationale: The correct answer is A: 4000 grams. To convert kilograms to grams, you need to multiply the number of kilograms by 1000 since there are 1000 grams in 1 kilogram. Therefore, 4 kilograms is equal to 4 x 1000 = 4000 grams. Choice B (3000 grams), C (4500 grams), and D (3500 grams) are incorrect as they do not correctly convert 4 kilograms into grams.
4. A person consumed 75 grams of protein. This is 30% of the recommended daily intake (RDI) for protein. How many grams of protein does the person need to consume to meet the full RDI?
- A. 250 grams
- B. 225 grams
- C. 260 grams
- D. 300 grams
Correct answer: A
Rationale: To find the full RDI, divide the amount of protein consumed (75 grams) by 30% (or 0.30): 75 รท 0.30 = 250 grams. Therefore, the person needs 250 grams of protein to meet the full RDI. Choice A is correct because it accurately calculates the amount needed to reach the full RDI. Choices B, C, and D are incorrect as they do not correctly calculate the total amount of protein needed based on the given information.
5. Solve the proportion (find the value of x): 9:14 = x:56.
- A. x = 14
- B. x = 25
- C. x = 36
- D. x = 42
Correct answer: C
Rationale: To solve the proportion 9:14 = x:56, you can cross multiply to get 9 * 56 = 14 * x. This simplifies to 504 = 14x. Dividing by 14 on both sides gives x = 36. Therefore, the value of x in the proportion is 36. Choice A, x = 14, is incorrect as it does not satisfy the proportion equation. Choice B, x = 25, is incorrect as it is not the value that makes the proportion true. Choice D, x = 42, is incorrect as it does not correctly satisfy the proportion equation.
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