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. How many milliliters are in 5 pints of water?
- A. 2400 milliliters
- B. 4800 milliliters
- C. 2000 milliliters
- D. 3600 milliliters
Correct answer: A
Rationale: The correct answer is A: 2400 milliliters. Since 1 pint is equivalent to 480 milliliters, to find out how many milliliters are in 5 pints, you multiply 480 by 5, which equals 2400 milliliters. Choice B (4800 milliliters) is incorrect because it multiplies 480 by 10 instead of 5. Choice C (2000 milliliters) is incorrect as it incorrectly equates 1 pint to 400 milliliters. Choice D (3600 milliliters) is incorrect as it miscalculates the conversion of pints to milliliters.
3. A nurse working at the hospital earns $22 per hour. She worked two 12-hour shifts and two 8-hour shifts during the week. How much did she earn for the week?
- A. $960
- B. $1,080
- C. $990
- D. $880
Correct answer: A
Rationale: The nurse worked a total of 40 hours (2 x 12 hours + 2 x 8 hours) during the week. Multiplying 40 hours by her hourly rate of $22 gives a total earning of $960 for the week. Therefore, the correct answer is $960. Choice B ($1,080) is incorrect because it miscalculates the earnings by adding extra hours. Choice C ($990) is incorrect as it does not account for the correct number of hours worked. Choice D ($880) is incorrect as it underestimates the total earnings by not considering all hours worked.
4. Solve the proportion (find the value of x): 9:14 = x:56.
- A. x = 14
- B. x = 25
- C. x = 36
- D. x = 42
Correct answer: C
Rationale: To solve the proportion 9:14 = x:56, you can cross multiply to get 9 * 56 = 14 * x. This simplifies to 504 = 14x. Dividing by 14 on both sides gives x = 36. Therefore, the value of x in the proportion is 36. Choice A, x = 14, is incorrect as it does not satisfy the proportion equation. Choice B, x = 25, is incorrect as it is not the value that makes the proportion true. Choice D, x = 42, is incorrect as it does not correctly satisfy the proportion equation.
5. Convert 7/8 to a decimal.
- A. 0.8
- B. 0.8
- C. 0.875
- D. 0.9
Correct answer: C
Rationale: To convert the fraction 7/8 to a decimal, you divide the numerator (7) by the denominator (8): 7 รท 8 = 0.875. Therefore, the correct decimal representation of the fraction 7/8 is 0.875. Choice A and B, which are both 0.8, are incorrect as they represent 4/5 and not 7/8. Choice D, 0.9, is also incorrect as it represents 9/10 and not 7/8.
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