HESI A2
HESI A2 Math Practice Test
1. A plan for a barn is drawn on a 1:30 scale. If the width of a barn door on the plan measures 3 inches, what is the actual width of the finished door?
- A. 90 inches
- B. 10 feet
- C. 9 feet
- D. 7.5 feet
Correct answer: B
Rationale: The scale of 1:30 means that 1 inch on the plan represents 30 inches in actual size. If the width of the barn door on the plan is 3 inches, the actual width is calculated by multiplying 3 inches by the scale factor (30), giving 90 inches. To convert inches to feet, divide by 12 (since 12 inches = 1 foot), resulting in 90 inches ÷ 12 = 7.5 feet. Therefore, the correct answer is 10 feet (option B), not 7.5 feet. Option A (90 inches) is the result before converting to feet, option C (9 feet) is the incorrect conversion if the initial calculation was done correctly, and option D (7.5 feet) is the incorrect conversion of the initial calculation.
2. A baker can bake 4 cakes with 10 cups of sugar. If he has a 30-cup bag that is half full, how many cakes can he bake?
- A. 6 cakes
- B. 5 cakes
- C. 7 cakes
- D. 8 cakes
Correct answer: A
Rationale: If the 30-cup bag is half full, it contains 15 cups of sugar. Since 10 cups are needed to bake 4 cakes, the baker can bake 4 * (15 / 10) = 6 cakes. Therefore, the correct answer is 6 cakes. Choice B, 5 cakes, is incorrect as it does not consider the correct sugar-to-cake ratio. Choices C and D are incorrect as they do not accurately calculate the number of cakes based on the available sugar.
3. Convert 104°F to Celsius.
- A. 40°C
- B. 42°C
- C. 39°C
- D. 35°C
Correct answer: A
Rationale: To convert Fahrenheit to Celsius, you can use the formula: °C = (°F - 32) x 5/9. Plugging in the value, °C = (104 - 32) x 5/9 = 72 x 5/9 = 40°C. Therefore, 104°F is equal to 40°C. Choice A is correct. Choice B is incorrect as it is not the result of the conversion. Choice C is incorrect as it is not the result of the conversion. Choice D is incorrect as it is not the result of the conversion.
4. If the ratio and proportion 15:2000=x:200, what is the value of x?
- A. 7
- B. 0
- C. 7,777
- D. 1
Correct answer: D
Rationale: To find the value of x in the given ratio and proportion, we can set up the equation as 15:2000=x:200. Cross multiply to get x * 2000 = 15 * 200. Simplifying this gives x = 1. Therefore, the correct answer is D, which is 1. Choice A (7), Choice B (0), and Choice C (7,777) are incorrect as they do not match the correct calculation of x.
5. A delivery of medical supplies includes 36 boxes. If each box weighs 2.5 pounds, what is the total weight of the delivery?
- A. 90 pounds
- B. 75 pounds
- C. 120 pounds
- D. 100 pounds
Correct answer: A
Rationale: To find the total weight of the delivery, you need to multiply the number of boxes (36) by the weight of each box (2.5 pounds). This gives you 36 boxes * 2.5 pounds = 90 pounds, which is the correct answer. Choice B (75 pounds), C (120 pounds), and D (100 pounds) are incorrect because they do not correctly calculate the total weight based on the given information.
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