HESI A2
HESI A2 Math 2024
1. What would be the total cost to buy 5 bars of soap if one bar of soap costs $0.96?
- A. $3.30
- B. $3.80
- C. $4.30
- D. $4.80
Correct answer: D
Rationale: To find the total cost of purchasing 5 bars of soap, multiply the cost of one bar of soap by the number of bars. If one bar costs $0.96, then 5 bars would cost $0.96 x 5 = $4.80. Therefore, the correct answer is $4.80. Option A, $3.30, is incorrect as it does not result from the correct multiplication. Option B, $3.80, is also incorrect as it does not reflect the total cost of 5 bars. Option C, $4.30, is incorrect as it does not represent the accurate total cost of purchasing 5 bars of soap.
2. If a party planner assumes 2 bottles of sparkling water per 5 guests, how many bottles must she purchase for a party of 145 guests?
- A. 27
- B. 36
- C. 49
- D. 58
Correct answer: D
Rationale: If the party planner assumes 2 bottles of sparkling water per 5 guests, for a party of 145 guests, she would need ((2/5) x 145) bottles of sparkling water. This calculation results in 58 bottles. Therefore, she must purchase 58 bottles for the party of 145 guests. Choices A, B, and C are incorrect as they do not reflect the correct calculation based on the given assumption.
3. If a helicopter flies at about 80 mph, how long will it take to travel 140 miles?
- A. 1 hour 15 minutes
- B. 1 hour 20 minutes
- C. 1 hour 30 minutes
- D. 1 hour 45 minutes
Correct answer: D
Rationale: To calculate the time it takes to travel a certain distance, we can use the formula Time = Distance / Speed. In this case, the helicopter is flying at 80 mph and needs to travel 140 miles. Therefore, Time = 140 miles / 80 mph = 1.75 hours or 1 hour and 45 minutes. So, the correct answer is D. 1 hour 45 minutes. Choices A, B, and C are incorrect as they do not represent the accurate time it takes for the helicopter to cover the 140-mile distance at 80 mph.
4. Express the ratio of 25:80 as a percentage.
- A. 31.25%
- B. 34%
- C. 41.25%
- D. 43.75%
Correct answer: A
Rationale: To express the ratio 25:80 as a percentage, follow these steps: First, divide 25 by 80: 25/80 = 0.3125. Then, multiply by 100 to convert to a percentage: 0.3125 × 100 = 31.25%. Therefore, the ratio 25:80 is equivalent to 31.25%. Choice A is correct. Choice B (34%) is incorrect because it does not accurately represent the ratio 25:80. Choice C (41.25%) and Choice D (43.75%) are also incorrect as they do not match the calculated percentage for the given ratio.
5. A landscaping plan is drawn on a 1:50 scale. If a deck in the plan measures 12 cm by 10 cm, how large is the deck in real life?
- A. 12 m by 10 m
- B. 6 m by 5 m
- C. 5 m by 2 m
- D. 4 m by 3 m
Correct answer: B
Rationale: Since the landscaping plan is drawn on a 1:50 scale, the real-life dimensions of the deck can be calculated by multiplying the dimensions on the plan by the scale factor. The dimensions given are 12 cm by 10 cm. Multiplying these dimensions by the scale factor of 50 gives us 600 cm by 500 cm, which is equivalent to 6 m by 5 m in real life. Choice A is incorrect as it doesn't consider the scale factor. Choice C and Choice D are incorrect as they are not the result of multiplying the dimensions by the scale factor.
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