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
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HESI A2

HESI A2 Math Practice Exam

1. 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?

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.

2. How many centimeters are in 1 foot?

Correct answer: A

Rationale: The correct answer is A, which is 30.48. To convert inches to feet, since there are 12 inches in a foot, you need to multiply the conversion factor from inches to centimeters (2.54 cm) by the number of inches in a foot (12). This gives 30.48 cm in 1 foot. Choice B, 35, is incorrect as it does not follow the correct conversion. Choices C and D, 25 and 40 respectively, are also incorrect conversions and do not align with the conversion factors provided in the question.

3. What number is 44 equal to 25% of?

Correct answer: A

Rationale: To find the number, let it be x. The equation is 44 = 0.25 * x. Dividing both sides by 0.25 gives x = 44 / 0.25 = 176. Therefore, 44 is equal to 25% of 176. Choice A is correct because 176 is the number that 44 is equal to 25% of. Choices B, C, and D are incorrect as they do not satisfy the equation 44 = 0.25 * x.

4. What is the probability of rolling an even number on a six-sided die?

Correct answer: A

Rationale: The correct answer is A, 50%. A standard six-sided die has three even numbers (2, 4, 6) out of six possible outcomes. The probability of rolling an even number is therefore 3 out of 6, which simplifies to 50%. Choices B, C, and D are incorrect because they do not accurately reflect the probability of rolling an even number on a six-sided die.

5. What is 2/3 of 60 + 1/5 of 75?

Correct answer: B

Rationale: To solve the expression, first calculate 2/3 of 60 by multiplying 60 by 2/3, which equals 40. Then, calculate 1/5 of 75 by multiplying 75 by 1/5, which equals 15. Finally, add these results together: 40 + 15 = 55. Therefore, the correct answer is 55. Choice A (45) is incorrect because it seems to be the sum of the two fractions, not their individual calculations. Choice C (15) is incorrect because it only represents 1/5 of 75. Choice D (50) is incorrect as it might be a miscalculation of the sum of the two fractions.

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