HESI A2
HESI A2 Math Practice
1. Subtract 6 1/2 - 2 2/3.
- A. 4 1/6
- B. 3 1/3
- C. 3 5/6
- D. 4 1/3
Correct answer: A
Rationale: To subtract mixed numbers, find a common denominator. Converting 6 1/2 to 6 3/6 and 2 2/3 to 2 4/6, the calculation becomes 6 3/6 - 2 4/6 = 4 1/6. Therefore, the correct answer is A. Choice B (3 1/3) is incorrect as the correct result is not an improper fraction. Choice C (3 5/6) is incorrect as it does not represent the result of the subtraction. Choice D (4 1/3) is incorrect as it does not match the correct calculation.
2. A die is rolled. What is the probability of getting a 5?
- A. 50%
- B. 20%
- C. 16.60%
- D. 83.30%
Correct answer: C
Rationale: The correct answer is C (16.60%). When rolling a standard 6-sided die, the probability of getting a 5 is 1/6 or approximately 16.6%. Choice A (50%) is incorrect as it represents the probability of getting a specific number on a coin flip, not a die roll. Choice B (20%) is incorrect as it does not reflect the probability of rolling a 5 on a standard die. Choice D (83.30%) is incorrect as it is the complement of the probability of rolling a 5, which is not asked in the question.
3. A farmer wants to plant trees around the outside boundaries of his rectangular field with dimensions of 650 meters × 780 meters. Each tree requires 5 meters of free space all around it from the stem. How many trees can he plant?
- A. 572
- B. 568
- C. 286
- D. 282
Correct answer: C
Rationale: To determine the number of trees, reduce the field dimensions by 10 meters (5 meters of space on each side). The effective area is 640 meters × 770 meters. Each tree occupies 10 meters × 10 meters. Dividing the effective area by the space for each tree gives: (640 × 770) ÷ (10 × 10) = 286 trees. Choice A, B, and D are incorrect because they do not consider the reduction in field dimensions and the space required for each tree.
4. Multiply: 35 × 25 =
- A. 0.00875
- B. 0.0875
- C. 0.875
- D. 8.75
Correct answer: D
Rationale: To multiply 35 × 25, break it down into (30 + 5) × 25. Now distribute: (30 × 25) + (5 × 25) = 750 + 125 = 875. Therefore, 35 × 25 = 875. Choices A, B, and C are incorrect because they do not represent the correct result of multiplying 35 by 25. Choice A is 1000 times smaller than the correct answer, Choice B is 100 times smaller, and Choice C is 10 times smaller, making them all incorrect. The correct answer is Choice D, 8.75.
5. A lab needs 200ml of a 5% salt solution. They only have a 10% solution. How much 10% solution and water should be mixed?
- A. 100ml 10% solution, 100ml water
- B. 150ml 10% solution, 50ml water
- C. 160ml 10% solution, 40ml water
- D. 200ml 10% solution, 0ml water
Correct answer: B
Rationale: Rationale: 1. Let x be the volume of the 10% solution needed and y be the volume of water needed. 2. The total volume of the final solution is 200ml, so x + y = 200. 3. The concentration of the final solution is 5%, so the amount of salt in the final solution is 0.05 * 200 = 10g. 4. The amount of salt in the 10% solution is 0.1x, and the amount of salt in the water is 0, so the total amount of salt in the final solution is 0.1x. 5. Since the total amount of salt in the final solution is 10g, we have 0.1x = 10. 6. Solving for x, we get x = 100ml. 7. Substituting x =
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