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HESI A2

HESI A2 Math Practice Test 2022

1. Add 7/8 + 9/10 + 6/5. Express the result as a mixed number.

A. 3 & 39/40
B. 3 & 22/23
C. 22/23
D. 2 & 39/40

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.

2. Find x if 40:5 = 60:x.

A. 12
B. 7
C. 1
D. 8

Correct answer: B

Rationale: To find x in the proportion 40:5 = 60:x, set up the equation: 40/5 = 60/x. Cross-multiply to solve for x: 40x = 60 * 5 => 40x = 300. Divide by 40 to isolate x: x = 300 / 40 = 7.5. However, x should be a whole number since it represents a quantity, so x = 7. Therefore, the correct answer is 7 (B). Choices A, C, and D are incorrect as they do not satisfy the proportion equation.

3. Convert 2/5 to a decimal.

A. 0.5
B. 0.25
C. 0.4
D. 0.5

Correct answer: C

Rationale: To convert 2/5 to a decimal, you divide the numerator (2) by the denominator (5): 2 ÷ 5 = 0.4. Therefore, the correct decimal representation of 2/5 is 0.4. Choice A (0.5) is incorrect because it represents 1/2, not 2/5. Choice B (0.25) is incorrect as it represents 1/4, not 2/5. Choice D (0.5) is incorrect as it also represents 1/2, not 2/5.

4. How many milliliters are in 3 liters?

A. 300 milliliters
B. 3000 milliliters
C. 1500 milliliters
D. 300 milliliters

Correct answer: B

Rationale: The correct answer is B: 3000 milliliters. There are 1,000 milliliters in a liter. Therefore, 3 liters = 3 × 1,000 = 3,000 milliliters. Choice A (300 milliliters) is incorrect as it represents the conversion of 0.3 liters, not 3 liters. Choice C (1500 milliliters) is incorrect as it is halfway between the correct answer and a common mistake of confusing liters with milliliters. Choice D (300 milliliters) is incorrect as it is the conversion of 0.3 liters, not 3 liters.