HESI A2
Math HESI A2 Practice Test
1. How many meters are in 2 kilometers?
- A. 100 meters
- B. 200 meters
- C. 2000 meters
- D. 3000 meters
Correct answer: C
Rationale: 1 kilometer equals 1,000 meters. Therefore, 2 kilometers equals 2,000 meters. Choice A, 100 meters, is incorrect as it represents only 1/10th of a kilometer. Choice B, 200 meters, is incorrect as it represents only 1/5th of a kilometer. Choice D, 3000 meters, is incorrect as it miscalculates the conversion from kilometers to meters.
2. What is the result of dividing 152 by 2?
- A. 0.0116
- B. 0.116
- C. 76
- D. 11.6
Correct answer: C
Rationale: To divide 152 by 2, you perform the division operation, which is 152 ÷ 2 = 76. The correct answer is 76. Choices A, B, and D are incorrect. Choice A, 0.0116, is the result of dividing 1 by 152 instead of 152 by 2. Choice B, 0.116, is the result of dividing 1.52 by 2. Choice D, 11.6, is the result of multiplying 152 by 2.
3. 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.
4. Change 0.26 to a fraction.
- A. 7/8
- B. 13/50
- C. 26/100
- D. 1/3
Correct answer: B
Rationale: To convert a decimal to a fraction, the decimal is written without the decimal point as the numerator. For 0.26, this gives 26. The denominator is based on the place value of the decimal, which is the number of decimal places the decimal has. In this case, 0.26 has two decimal places, so the fraction is 26/100, which simplifies to 13/50. Choice A (7/8) is incorrect as it does not represent 0.26. Choice C (26/100) is also incorrect because it is not in its simplest form. Choice D (1/3) is incorrect as it is not the correct equivalent fraction for 0.26.
5. How many kilograms are there in 11 pounds?
- A. 5 kilograms
- B. 5.5 kilograms
- C. 22.2 kilograms
- D. 24.2 kilograms
Correct answer: B
Rationale: To convert pounds to kilograms, you can use the conversion factor: 1 pound is approximately equal to 0.453592 kilograms. Therefore, 11 pounds is equal to 11 * 0.453592 = 4.989512, which is approximately 5.5 kilograms. The correct answer is 5.5 kilograms. Choice A is incorrect as it rounds down and doesn't account for the decimals in the conversion. Choices C and D are significantly higher than the correct answer and are clearly incorrect conversions.
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