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. Farmer Juan has 14 acres with an average yield of 17460 eggs per acre. The profit per egg is $1.65. What profit should Farmer Juan expect?
- A. $403,326
- B. $148,145.45
- C. $244,440
- D. $2,057.79
Correct answer: A
Rationale: To calculate Farmer Juan's profit, multiply the number of acres (14) by the yield per acre (17460 eggs) and by the profit per egg ($1.65): 14 acres * 17460 eggs * $1.65 = $403,326. Therefore, Farmer Juan should expect a profit of $403,326. Choice A is correct as it accurately calculates the total profit based on the given information. Choices B, C, and D are incorrect as they do not correctly compute the total profit from the provided data.
3. What is the result of adding 12 + 2 + 312?
- A. 936
- B. 374.4
- C. 326
- D. 318.24
Correct answer: C
Rationale: To find the sum of 12 + 2 + 312, you simply need to add these numbers together. 12 + 2 = 14, and when you add 312 to 14, you get the correct total of 326. Therefore, the correct answer is C. Choice A (936), choice B (374.4), and choice D (318.24) are incorrect as they do not represent the correct sum of the given numbers.
4. Jeff needed a 6 ft. rope. He found 2 pieces of rope and thought maybe he could tie them together. One rope was 40 inches and the other was 36 inches. How long would the rope be, and would he have enough rope if he ties them together?
- A. No, the rope would be 76 inches.
- B. Yes, the rope would be 76 inches.
- C. Yes, the rope would be 6 feet.
- D. No, the rope would be 6 feet.
Correct answer: B
Rationale: To convert 6 feet to inches, we multiply 6 by 12 (1 foot = 12 inches), giving us 72 inches needed. By adding the lengths of the two ropes (40 inches + 36 inches), Jeff would have a total of 76 inches, which is more than the 72 inches required. Therefore, he would have enough rope if he ties them together. Choice A and D are incorrect because they misinterpret the conversion from feet to inches. Choice C is incorrect as it does not consider the actual combined length of the two ropes.
5. A mother is planning a birthday party. She will give each child 15 balloons. There are 50 balloons per packet. How many packets does the mother need if there will be 16 children?
- A. 17
- B. 5
- C. 6
- D. 50
Correct answer: B
Rationale: To calculate the total number of balloons needed, multiply the number of children by the balloons each child will receive: 16 children * 15 balloons = 240 balloons. Since there are 50 balloons per packet, divide the total number of balloons needed by the balloons per packet: 240 balloons ÷ 50 balloons per packet = 4.8 packets. As you cannot buy a fraction of a packet, the mother will need to round up to the nearest whole number of packets, which is 5. Therefore, the correct answer is 5 packets. Choice A (17) is incorrect because it does not accurately calculate the number of packets needed. Choice C (6) is incorrect as it overestimates the number of packets required. Choice D (50) is incorrect as it does not consider the number of children and balloons per child in the calculation.
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