HESI A2
HESI A2 Math Practice Test 2022 Questions
Question 1 of 5
Add 7/8 + 9/10 + 6/5. Express the result as a mixed number.
Correct Answer: A
Rationale:
To add fractions, find a common denominator, which in this case is 40. Convert each fraction to have the common denominator: 7/8 = 35/40, 9/10 = 36/40, and 6/5 = 48/40. Add these fractions to get 119/40. Simplify this improper fraction to a mixed number, which is 3 & 39/40.
Choice B and C are incorrect as they do not represent the sum of the fractions.
Choice D is incorrect; the whole number part should be 3, not 2.
Question 2 of 5
A person is laying stones for a garden. They have 1,200 stones. Each stone covers an area of 0.75 square feet. What is the total area that the stones will cover?
Correct Answer: A
Rationale:
To find the total area covered by the stones, multiply the number of stones by the area each stone covers: 1,200 stones * 0.75 sq ft = 900 sq ft.
Therefore, the stones will cover 900 sq ft, which is closest to 800 sq ft among the answer choices A, B, C, and D. The correct answer is A, 800 sq ft.
Choices B, C, and D are incorrect as they do not result from the correct calculation of multiplying the number of stones by the area each stone covers.
Question 3 of 5
Solve the proportion (find the value of x): 9:14 = x:56.
Correct Answer: C
Rationale:
To solve the proportion 9:14 = x:56, you can cross multiply to get 9 * 56 = 14 * x. This simplifies to 504 = 14x. Dividing by 14 on both sides gives x = 36.
Therefore, the value of x in the proportion is 36.
Choice A, x = 14, is incorrect as it does not satisfy the proportion equation.
Choice B, x = 25, is incorrect as it is not the value that makes the proportion true.
Choice D, x = 42, is incorrect as it does not correctly satisfy the proportion equation.
Question 4 of 5
If John buys 3 bags of chips for $4.50, how much will it cost John to buy five bags of chips?
Correct Answer: A
Rationale: If 3 bags of chips cost $4.50, then the cost per bag is $4.50/3 = $1.50.
To buy five bags, John would need to pay 5 bags * $1.50 = $7.50.
Therefore, it will cost John $7.50 to buy five bags of chips. The other choices are incorrect because they do not accurately calculate the total cost based on the given information.
Question 5 of 5
What is the volume of an Egyptian model pyramid with a square base side length of 10cm and a height of 8cm?
Correct Answer: D
Rationale:
To find the volume of a pyramid, we use the formula: Volume = (1/3) * base area * height. First, calculate the base area by squaring the base side length: 10cm * 10cm = 100 sq cm. Substitute the values into the formula: Volume = (1/3) * 100 sq cm * 8cm = 80 cu cm.
Therefore, the correct answer is 160 cu cm.
Choices A, B, and C are incorrect because they do not correctly calculate the volume of the pyramid based on the given dimensions.