HESI A2
HESI A2 Math Practice Test 2023
1. How many milligrams are in 3.4 grams?
- A. 340 mg
- B. 3,400 mg
- C. 34,000 mg
- D. 3400 mg
Correct answer: B
Rationale: To convert grams to milligrams, you need to multiply by 1,000 because there are 1,000 milligrams in 1 gram. Therefore, to find out how many milligrams are in 3.4 grams, you multiply 3.4 by 1,000 which equals 3,400 mg. Choices A, C, and D are incorrect because they do not correctly convert grams to milligrams.
2. Divide: 727 ÷ 6 =
- A. 120 r1
- B. 120 r3
- C. 121 r1
- D. 127 r3
Correct answer: C
Rationale: When dividing 727 by 6, the quotient is 121 with a remainder of 1. The correct answer is, therefore, 121 r1. Choice A (120 r1) is incorrect as the quotient is 121, not 120. Choice B (120 r3) is also incorrect as the remainder should be 1, not 3. Choice D (127 r3) is incorrect as both the quotient and remainder are different from the correct values obtained by dividing 727 by 6.
3. 81:X::9:27. Find X.
- A. 3
- B. 27
- C. 21
- D. 9
Correct answer: B
Rationale: To find X in the given proportion 81:X::9:27, you can set up the equation 81/X = 9/27. Cross-multiplying gives 81 * 27 = 9 * X, which simplifies to 2187 = 9X. Dividing both sides by 9 results in X = 27. Therefore, the correct answer is B. Choice A (3) is incorrect as it does not satisfy the proportion. Choice C (21) is incorrect as it is not the correct value to make the proportion valid. Choice D (9) is incorrect as it does not align with the proportion provided.
4. A decorative box has a rectangular base (20cm by 15cm) and a hemispherical top with the same diameter as the base. What is the total surface area of the box (excluding the base)?
- A. 825 sq cm
- B. 1075 sq cm
- C. 1325 sq cm
- D. 1575 sq cm
Correct answer: C
Rationale: To find the total surface area of the box excluding the base, calculate the lateral surface area of the rectangular base and the surface area of the hemisphere. The lateral surface area of the rectangular base is 2(20cm x 15cm) = 600 sq cm. The surface area of the hemisphere is 2πr^2, where r is half the diameter of the base, so r = 10cm. Thus, the surface area of the hemisphere is 2π(10cm)^2 = 200π sq cm ≈ 628.32 sq cm. Add the lateral surface area of the base and the surface area of the hemisphere: 600 sq cm + 628.32 sq cm ≈ 1228.32 sq cm. Therefore, the total surface area of the box is approximately 1228.32 sq cm, which is closest to 1325 sq cm (Choice C). Choices A, B, and D are incorrect as they do not represent the accurate calculation of the total surface area of the box.
5. How many ounces are there in 4 cups?
- A. 16 ounces
- B. 24 ounces
- C. 28 ounces
- D. 32 ounces
Correct answer: A
Rationale: To find out how many ounces are in 4 cups, you need to multiply 8 ounces (the number of ounces in 1 cup) by 4 cups. This calculation results in 32 ounces. However, the question asks for the number of ounces in 4 cups, not the total ounces in 4 cups. Therefore, there are 16 ounces in 4 cups. Choices B, C, and D are incorrect as they do not represent the correct conversion of ounces in 4 cups.
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