HESI A2
HESI A2 Math Portion
1. A plan for a shed is drawn on a 1:10 scale. If the roof of the real shed measures 4 feet by 5 feet, what were the measurements on the plan?
- A. 80 inches by 100 inches
- B. 40 inches by 50 inches
- C. 4.8 inches by 6 inches
- D. 4 inches by 5 inches
Correct answer: B
Rationale: When the real shed roof measures 4 feet by 5 feet, on a 1:10 scale plan, the measurements on the plan would be 1/10 of the real measurements. Therefore, the correct answer is 40 inches by 50 inches since it represents 1/10 of 4 feet by 5 feet. Choice A (80 inches by 100 inches) is incorrect because it is equivalent to the real shed measurements, not the scaled plan. Choice C (4.8 inches by 6 inches) is incorrect as it does not reflect the 1:10 scale reduction. Choice D (4 inches by 5 inches) is incorrect because it does not consider the scale factor of 1:10.
2. Olivia’s Bakery gives out one extra cupcake for each dozen sold, to make a “baker’s dozen†of 13 in all. How many extra cupcakes does the bakery add to a special order of 180 cupcakes?
- A. 12
- B. 13
- C. 14
- D. 15
Correct answer: B
Rationale: Olivia’s Bakery gives out one extra cupcake for each dozen sold. For a special order of 180 cupcakes, there would be 180 cupcakes ÷ 12 cupcakes per dozen = 15 dozens. Therefore, the bakery adds 15 extra cupcakes to make a 'baker's dozen' of 13 in all for each dozen, resulting in a total of 15 extra cupcakes added to the special order. The correct answer is 13 (choice B) because the bakery adds one extra cupcake to each dozen, making a 'baker's dozen' of 13.
3. Last night at the hospital, 76 babies were born. Of the births, 45% were girls. How many boys were born last night? (Round your numbers to the nearest whole number).
- A. 42
- B. 34
- C. 35
- D. 36
Correct answer: A
Rationale: When 45% of the babies were girls, it means the remaining 55% were boys. To determine the number of boys, calculate 55% of 76, which equals approximately 41.8, rounding up to 42. Therefore, 42 boys were born last night at the hospital. Choice B, C, and D are incorrect as they do not reflect the accurate calculation of the number of boys born.
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. How many gallons are in 3 fluid ounces?
- A. 0.0234 gallons
- B. 0.5 gallons
- C. 0.38 gallons
- D. 0.12 gallons
Correct answer: A
Rationale: To convert fluid ounces to gallons, you need to divide the number of fluid ounces by 128 because there are 128 fluid ounces in 1 gallon. Therefore, 3 fluid ounces ÷ 128 equals approximately 0.0234 gallons. Choice A is correct. Choice B (0.5 gallons) is incorrect as it is equivalent to 64 fluid ounces, not 3. Choice C (0.38 gallons) and Choice D (0.12 gallons) are also incorrect conversions of 3 fluid ounces to gallons.
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