32 divided by 89
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HESI A2

HESI A2 Math Practice Exam

1. What is the result of 32 divided by 8/9?

Correct answer: C

Rationale: To divide by a fraction, we can multiply by its reciprocal. Therefore, dividing 32 by 8/9 is the same as multiplying 32 by 9/8, which equals 36. The correct answer is C. Choice A, 4 & 1/9, is incorrect because the result is a whole number. Choice B, 4, is incorrect as it does not consider the fraction. Choice D, 28 & 4/9, is incorrect as it is not the result of dividing 32 by 8/9.

2. What is the greatest common factor (GCF) of 12 and 18?

Correct answer: C

Rationale: The greatest common factor (GCF) of two numbers is the largest number that divides both numbers without leaving a remainder. To find the GCF of 12 and 18, we factorize each number: 12 = 2 x 2 x 3 and 18 = 2 x 3 x 3. The common factors are 2 and 3. The GCF is the product of these common factors, which is 6. Therefore, 6 is the greatest common factor of 12 and 18. Choice A (2) and Choice B (3) are factors of both numbers but not the greatest common factor. Choice D (9) is not a factor of both 12 and 18, making it incorrect.

3. If the outside temperature is currently 15 degrees on the Celsius scale, what is the approximate temperature on the Fahrenheit scale?

Correct answer: A

Rationale: To convert Celsius to Fahrenheit, you can use the formula: (°C × 9/5) + 32 = °F. Substituting 15°C into the formula gives us (15 × 9/5) + 32 = 59°F. Therefore, the approximate temperature on the Fahrenheit scale for 15 degrees Celsius is 59 degrees Fahrenheit. Choice B, C, and D are incorrect as they do not align with the correct conversion formula and calculation.

4. Percent Increase/Decrease: A medication dosage is increased by 20%. If the original dosage was 100mg, what is the new dosage?

Correct answer: C

Rationale: Calculate the increase in dosage: 100mg * 20% = 100mg * 0.20 = 20mg. Add the increase to the original dosage to find the new dosage: 100mg + 20mg = 120mg. Therefore, the new dosage is 120mg after a 20% increase from the original 100mg dosage. Choice A (80mg) is incorrect because it represents a decrease rather than an increase. Choice B (100mg) is the original dosage and does not account for the 20% increase. Choice D (140mg) is incorrect as it is the original dosage plus 40%, not the 20% increase specified.

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?

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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