a student earns 120 for a 10 hour tutoring session if the student worked 6 hours how much did the student earn
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HESI A2

HESI A2 Math Practice Test 2024

1. If a student earns $120 for a 10-hour tutoring session and works 6 hours, how much did the student earn?

Correct answer: A

Rationale: To find the amount earned for 6 hours of work, calculate the hourly rate by dividing the total earnings ($120) by the total hours worked (10 hours): $120 ÷ 10 = $12 per hour. Then, multiply the hourly rate by the number of hours worked (6): $12 × 6 = $72. Therefore, the student earned $72 for working 6 hours. Choice B ($90) is incorrect because it miscalculates the hourly rate. Choice C ($80) is incorrect as it does not consider the correct hourly rate. Choice D ($50) is incorrect as it calculates the earnings based on the wrong hourly rate.

2. Convert 45 kg to pounds.

Correct answer: D

Rationale: To convert kilograms to pounds, you multiply the weight in kilograms by 2.20462. Therefore, to convert 45 kg to pounds, you would perform the calculation: 45 kg * 2.20462 = 99.2079 pounds. Rounding to the nearest whole number, the answer is approximately 110 pounds. Choice A (10 pounds) is incorrect as it is too low. Choice B (100 pounds) and Choice C (1,000 pounds) are also incorrect as they are too high. The correct conversion is closest to Choice D (110 pounds).

3. Donna has 4.2 liters of fertilizer. If each pecan tree needs 0.7 liters of fertilizer and Donna uses all the fertilizer, how many pecan trees does Donna have?

Correct answer: A

Rationale: To find the number of trees, divide the total amount of fertilizer (4.2 liters) by the amount needed for each tree (0.7 liters). 4.2 / 0.7 = 6 trees. Therefore, Donna has 6 pecan trees. Choice A is correct because the calculation is done accurately. Choices B, C, and D are incorrect as they do not reflect the correct calculation based on the given information.

4. Solve: 2 - 8(24 ÷ 2).

Correct answer: A

Rationale: To solve the expression, we follow the order of operations (PEMDAS). First, we divide 24 by 2 to get 12. Then, we multiply 8 by 12, which equals 96. Finally, we subtract 96 from 2: 2 - 96 = -94. Therefore, the correct answer is A, '-94'. Choices B, C, and D are incorrect as they do not follow the correct order of operations or make errors during calculation.

5. 81:X::9:27. Find X.

Correct answer: B

Rationale: To find X in the given proportion 81:X::9:27, you can set up the equation 81/X = 9/27. Cross-multiplying gives 81 * 27 = 9 * X, which simplifies to 2187 = 9X. Dividing both sides by 9 results in X = 27. Therefore, the correct answer is B. Choice A (3) is incorrect as it does not satisfy the proportion. Choice C (21) is incorrect as it is not the correct value to make the proportion valid. Choice D (9) is incorrect as it does not align with the proportion provided.

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