HESI A2
HESI A2 Math Practice Test 2022
1. If the ratio and proportion 15:2000=x:200, what is the value of x?
- A. 7
- B. 0
- C. 7,777
- D. 1
Correct answer: D
Rationale: To find the value of x in the given ratio and proportion, we can set up the equation as 15:2000=x:200. Cross multiply to get x * 2000 = 15 * 200. Simplifying this gives x = 1. Therefore, the correct answer is D, which is 1. Choice A (7), Choice B (0), and Choice C (7,777) are incorrect as they do not match the correct calculation of x.
2. A store is offering a 25% discount on all items. If an item costs $120, what is the discounted price?
- A. $90
- B. $80
- C. $75
- D. $95
Correct answer: A
Rationale: To calculate the discounted price after a 25% discount on $120, you first find the discount amount by multiplying $120 by 0.25, which equals $30. Subtracting the discount amount from the original price gives the discounted price: $120 - $30 = $90. Therefore, the correct answer is $90. Choice B, $80, is incorrect as it does not consider the 25% discount. Choice C, $75, is incorrect as it is lower than the correct calculation. Choice D, $95, is incorrect as it does not reflect the reduction from the discount.
3. Solve for x: 2 : 5 :: 64 : x
- A. 32
- B. 70
- C. 128
- D. 160
Correct answer: C
Rationale: The symbol '::' represents a proportion in which the first pair of numbers is related to the second pair of numbers. To solve for x in the proportion 2 : 5 :: 64 : x, you can set up a proportion equation: 2/5 = 64/x. Cross-multiplying gives you 2x = 5 * 64, which simplifies to 2x = 320. Dividing both sides by 2, you get x = 160. Therefore, x = 128 is the correct answer. Choice A (32) is incorrect as it is not the result of solving the proportion equation. Choice B (70) is incorrect as it is not related to the given proportion. Choice D (160) is a common mistake made by wrongly interpreting the equation; the correct value of x is 128.
4. Change 0.004 to a ratio.
- A. 1:250
- B. 17:40
- C. 9:20
- D. 20:40
Correct answer: A
Rationale: To convert 0.004 to a ratio, first express it as a fraction. 0.004 = 4/1000 = 1/250. Therefore, the ratio is 1:250. Choice A is the correct answer. Choices B, C, and D are incorrect ratios as they do not represent the equivalent fraction of 0.004.
5. A newborn weighs 3,459 grams. There are 453.59 grams per pound. What is the infant's weight in pounds and ounces?
- A. 7 lbs 10 oz
- B. 10 lbs 7 oz
- C. 13 lbs 3 oz
- D. 3 lbs 13 oz
Correct answer: A
Rationale: To find the weight in pounds, divide the weight in grams by the conversion factor (453.59 grams per pound). 3,459 grams รท 453.59 = approximately 7 lbs 10 oz. Therefore, choice A (7 lbs 10 oz) is the correct answer. Choice B (10 lbs 7 oz) and Choice C (13 lbs 3 oz) are incorrect as they do not correspond to the correct conversion. Choice D (3 lbs 13 oz) is incorrect as it does not account for the additional pounds derived from dividing 3,459 grams by the conversion factor.
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