Math practice test: free HESI A2 Admission Assessment questions

Sample Practice Questions for Math

1. Question 1Ref: HESI A2 Content Outline — Math: Fractions/Decimals/Percentages

   What is the result of adding 3/8 and 1/4?

   A5/8B4/12C1/2D3/12
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   Correct Answer
   A. 5/8

   The keyed answer is "5/8". To add fractions, find a common denominator. Convert 1/4 to 2/8, then add 3/8 plus 2/8 equals 5/8. The other choices come from misidentifying the common denominator or incorrectly adding numerators.

2. Question 2Ref: HESI A2 Content Outline — Math: Fractions/Decimals/Percentages

   A recipe calls for 2.5 cups of flour. If you want to make half the recipe, how many cups of flour are needed?

   A1.0 cupB1.25 cupsC1.5 cupsD2.0 cups
   Show Answer & Explanation

   Correct Answer
   B. 1.25 cups

   The keyed answer is "1.25 cups". To halve a quantity, divide by 2. Half of 2.5 is 1.25 cups. The other options result from rounding errors or incorrect division.

3. Question 3Ref: HESI A2 Content Outline — Math: Fractions/Decimals/Percentages

   What percentage of 80 is 20?

   A20%B25%C30%D40%
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   Correct Answer
   B. 25%

   The keyed answer is "25%". To find what percent 20 is of 80, divide 20 by 80 to get 0.25, then multiply by 100 to get 25%. The other choices come from miscalculating the ratio.

4. Question 4Ref: HESI A2 Content Outline — Math: Fractions/Decimals/Percentages

   Convert 3/5 to a decimal.

   A0.35B0.60C0.75D0.53
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   Correct Answer
   B. 0.60

   The keyed answer is "0.60". Divide the numerator by the denominator: 3 divided by 5 equals 0.60. The other options result from common division errors or misplacing the decimal point.

5. Question 5Ref: HESI A2 Content Outline — Math: Ratios/Proportions

   If 3 pills cost $12, how much do 7 pills cost at the same rate?

   A$24B$28C$32D$36
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   Correct Answer
   B. $28

   The keyed answer is "$28". First find the cost per pill: $12 divided by 3 equals $4 per pill. Then multiply by 7: $4 times 7 equals $28. The other choices come from incorrect unit rates.

6. Question 6Ref: HESI A2 Content Outline — Math: Ratios/Proportions

   A patient receives 500 mL of IV fluid over 4 hours. What is the flow rate in mL per hour?

   A100 mL/hrB125 mL/hrC150 mL/hrD200 mL/hr
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   Correct Answer
   B. 125 mL/hr

   The keyed answer is "125 mL/hr". Flow rate equals total volume divided by time: 500 mL divided by 4 hours equals 125 mL per hour. The other options result from division errors.

7. Question 7Ref: HESI A2 Content Outline — Math: Ratios/Proportions

   The ratio of nurses to patients is 1:4. If there are 12 patients, how many nurses are needed?

   A2B3C4D5
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   Correct Answer
   B. 3

   The keyed answer is "3". Set up a proportion: 1 nurse per 4 patients equals x nurses per 12 patients. Cross-multiply: 4x equals 12, so x equals 3. The other answers come from incorrect proportions.

8. Question 8Ref: HESI A2 Content Outline — Math: Ratios/Proportions

   A medication dose is 2 mg per kg of body weight. For a 70 kg patient, what is the total dose in mg?

   A120 mgB140 mgC160 mgD180 mg
   Show Answer & Explanation

   Correct Answer
   B. 140 mg

   The keyed answer is "140 mg". Multiply the dose per kilogram by the patient weight: 2 mg per kg times 70 kg equals 140 mg. The other options result from arithmetic errors.

9. Question 9Ref: HESI A2 Content Outline — Math: Algebra/Geometry

   Solve for x: 2x + 5 = 15.

   Ax = 4Bx = 5Cx = 6Dx = 10
   Show Answer & Explanation

   Correct Answer
   B. x = 5

   The keyed answer is "x = 5". Subtract 5 from both sides: 2x equals 10. Then divide by 2: x equals 5. The other options result from incorrect algebraic manipulation.

10. Question 10Ref: HESI A2 Content Outline — Math: Algebra/Geometry

    A rectangle has a length of 8 cm and a width of 5 cm. What is its area?

    A13 cm squaredB26 cm squaredC40 cm squaredD80 cm squared
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    Correct Answer
    C. 40 cm squared

    The keyed answer is "40 cm squared". Area of a rectangle is length times width: 8 cm times 5 cm equals 40 cm squared. The other options come from adding instead of multiplying or miscalculating.

11. Question 11Ref: HESI A2 Content Outline — Math: Algebra/Geometry

    What is the perimeter of a square with a side length of 6 inches?

    A12 inchesB18 inchesC24 inchesD36 inches
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    Correct Answer
    C. 24 inches

    The keyed answer is "24 inches". Perimeter of a square is 4 times the side: 4 times 6 inches equals 24 inches. The other options come from incorrect formulas.

12. Question 12Ref: HESI A2 Content Outline — Math: Algebra/Geometry

    If a circle has a radius of 3 cm, what is its circumference? (Use pi = 3.14)

    A9.42 cmB18.84 cmC28.26 cmD37.68 cm
    Show Answer & Explanation

    Correct Answer
    B. 18.84 cm

    The keyed answer is "18.84 cm". Circumference equals 2 times pi times radius: 2 times 3.14 times 3 cm equals 18.84 cm. The other options result from using diameter instead of radius or miscalculating.