HESI A2
Practice HESI A2 Math Test
1. A bookshelf has triangular shelves with a base of 40cm and a height of 30cm. The depth of the shelf is 25cm. What is the volume of each shelf?
- A. 3000 cu cm
- B. 3750 cu cm
- C. 5000 cu cm
- D. 7500 cu cm
Correct answer: B
Rationale: To find the volume of the triangular shelf, first calculate the area of the triangle (1/2 * base * height) which is (1/2 * 40 * 30) = 600 sq cm. Then, multiply this area by the depth of the shelf (600 * 25) = 15000 cu cm. Therefore, the volume of each shelf is 3750 cu cm. Choice A, C, and D are incorrect as they do not correctly calculate the volume based on the dimensions provided.
2. A teacher's aide must convert the directions from quarts to liters. The directions say to dilute the contents of a package in 3 quarts of water. How many liters should be used?
- A. 2.8 liters
- B. 3.5 liters
- C. 2.5 liters
- D. 4.0 liters
Correct answer: A
Rationale: To convert quarts to liters, you can multiply the number of quarts by 0.946353. In this case, 3 quarts is approximately 2.8 liters. Therefore, the correct answer is 2.8 liters. Choices B, C, and D are incorrect as they do not reflect the accurate conversion from quarts to liters.
3. Scientific notation is a way to represent very large or small numbers in a compact form. If a number is written as 4.82 x 10^3, what is the value of the number in standard form?
- A. 0.004 82
- B. 0.482
- C. 4820
- D. 4820000
Correct answer: C
Rationale: Rationale: When a number is written in scientific notation as \(a \times 10^n\), the value of the number in standard form is obtained by multiplying \(a\) by \(10^n\). In this case, the number is \(4.82 \times 10^3\). To convert this to standard form, we multiply 4.82 by \(10^3\), which means moving the decimal point 3 places to the right. \(4.82 \times 10^3 = 4820\) Therefore, the value of the number in standard form is 4820, which corresponds to option C.
4. A patient weighs 180 pounds. What is their weight in kilograms (1kg = 2.2lbs)?
- A. 68kg
- B. 75kg
- C. 82kg
- D. 90kg
Correct answer: C
Rationale: To convert pounds to kilograms, you need to divide the weight in pounds by the conversion factor of 2.2 (1kg = 2.2lbs). 180 pounds / 2.2 = 81.82 kg Rounded to the nearest whole number, the weight of 180 pounds is approximately 82kg. Therefore, the correct answer is 82kg, which is option C. Option B (75kg) is not correct as it is significantly lower than the calculated value. Options A (68kg) and D (90kg) are also incorrect as they do not match the converted weight of 180 pounds.
5. If a recipe calls for 2 cups of sugar and you want to make half of the recipe, how many cups of sugar do you need?
- A. 1 cup
- B. 1.5 cups
- C. 2 cups
- D. 0.5 cups
Correct answer: A
Rationale: To make half of the recipe that calls for 2 cups of sugar, you would need 1 cup of sugar. Choice A is correct because half of 2 cups is 1 cup. Choice B (1.5 cups) is incorrect as it is three-quarters of the original amount, not half. Choice C (2 cups) is the amount required for the full recipe, not for half. Choice D (0.5 cups) is half of 1 cup, not half of 2 cups.
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