HESI A2
HESI A2 Math
1. Two buildings in downtown Chicago stand across the river. The first building is 1,700 feet tall and casts a shadow of 525 feet. If the second building is 1,450 feet tall, how long will its shadow be?
- A. 478 feet
- B. 455 feet
- C. 448.5 feet
- D. 450 feet
Correct answer: C
Rationale: To find the shadow of the second building, we use the ratio of heights to shadows: 1,700/525 = 1,450/x. Solving for x gives x = (525 × 1,450)/1,700 = 448.5. Therefore, the shadow of the second building will be approximately 448.5 feet long. Choice A (478 feet) is incorrect because it is not the result of the correct calculation. Choice B (455 feet) is incorrect as it does not match the accurate answer obtained through the calculation. Choice D (450 feet) is incorrect as it does not reflect the correct length of the shadow of the second building.
2. If blank CDs cost 36 cents for two, how much does it cost to buy 10 blank CDs?
- A. $0.90
- B. $1.35
- C. $1.80
- D. $3.60
Correct answer: C
Rationale: If two blank CDs cost 36 cents, each blank CD costs 18 cents (36 cents / 2). To find the cost of 10 blank CDs, you multiply the cost of one CD by the total number of CDs: 18 cents x 10 = $1.80. Therefore, it would cost $1.80 to buy 10 blank CDs. Choice A ($0.90) is incorrect because it miscalculates the cost per CD. Choice B ($1.35) is incorrect as it doesn't consider the total number of CDs. Choice D ($3.60) is incorrect as it miscalculates the cost of one CD.
3. How many ounces are in 3 quarts?
- A. 64 ounces
- B. 32 ounces
- C. 48 ounces
- D. 96 ounces
Correct answer: D
Rationale: There are 32 ounces in a quart. Therefore, 3 quarts would be equal to 3 quarts x 32 ounces = 96 ounces. The correct answer is D. Choice A, 64 ounces, is incorrect as it miscalculates the conversion from quarts to ounces. Choice B, 32 ounces, is the conversion for 1 quart, not 3 quarts. Choice C, 48 ounces, is also an incorrect calculation, not considering the correct conversion rate.
4. What is 40% of 150?
- A. 60
- B. 65
- C. 70
- D. 85
Correct answer: A
Rationale: To find 40% of 150, you multiply 150 by 0.40 (which represents 40% in decimal form). This calculation results in 60. Therefore, choice A, 60, is the correct answer. Choice B (65), choice C (70), and choice D (85) are incorrect as they do not reflect the accurate calculation for finding 40% of 150.
5. A circular bandage has a diameter of 6cm. What is the area covered by the bandage (area of a circle = πr^2)?
- A. 9Ï€ cm^2
- B. 18Ï€ cm^2
- C. 27Ï€ cm^2
- D. 36Ï€ cm^2
Correct answer: C
Rationale: Rationale: - The formula for the area of a circle is A = πr^2, where r is the radius of the circle. - The diameter of the circular bandage is 6 cm, so the radius (r) is half of the diameter, which is 6/2 = 3 cm. - Substitute the radius (r = 3 cm) into the formula for the area of a circle: A = π(3)^2 = 9π cm^2. - Therefore, the area covered by the bandage is 9π cm^2.
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