Study materialsHESI A2HESI A2 Math Practice
🧮HESI A2 STUDY GUIDE

HESI A2 Math Practice

Practice fractions, decimals, ratios, proportions, percentages, conversions, dosage-style arithmetic, and word problems.

8 key ideas8 flashcards5 practice questions
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EXAM SCOPEMathematics chapter in Elsevier's sixth-edition review book

This review follows the current course framework.

Checked against Elsevier Admission Assessment Exam Review, sixth edition
PROPORTION BOARD

Keep like quantities in the same positions.

known ratio

quantity over matching quantity

=
new ratio

same order with one unknown

check

unit and estimated scale

Key ideas to know

Start with the relationships between ideas. Then close the notes and explain each one from memory.

  1. 01

    A fraction names a part-to-whole relationship and can be converted to a decimal by division.

  2. 02

    Ratios compare quantities in a stated order; proportions set two equal ratios.

  3. 03

    Percent means per hundred, so 35 percent equals 0.35 and 35/100.

  4. 04

    Dimensional analysis places conversion units so unwanted units cancel.

  5. 05

    A mixed number must be converted carefully before multiplication or division.

  6. 06

    Order of operations applies grouping, exponents, multiplication or division, then addition or subtraction.

  7. 07

    A word problem should name the requested quantity before numbers are combined.

  8. 08

    An estimate can catch a misplaced decimal or an answer with an impossible scale.

PART OF THE HESI A2 GUIDE

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Two ideas worth correcting now

NOT QUITE

Cross-multiplication works without aligning quantities

USE THIS INSTEAD

Each ratio must compare quantities in the same order.

NOT QUITE

A calculator can choose the conversion

USE THIS INSTEAD

The learner must select and arrange the correct conversion factor.

Flashcards

Answer before opening each card. The effort to retrieve is part of the learning.

1How is a fraction changed to a decimal?Show answer +

Divide the numerator by the denominator.

2What does percent mean?Show answer +

Per hundred.

3How is a proportion solved?Show answer +

Cross-multiply aligned ratios, then isolate the unknown.

4What is 0.6 as a percent?Show answer +

60 percent.

5What is 3/4 as a decimal?Show answer +

0.75.

6What is 1 liter in milliliters?Show answer +

1,000 mL.

7Why write units in conversions?Show answer +

They show which units cancel and what remains.

8When should an estimate be used?Show answer +

Before or after exact arithmetic to check scale.

Explain it in your own words

Use the answer as a check after you have written or spoken your response.

01Convert 2.5 liters to milliliters.

Multiply 2.5 by 1,000 to get 2,500 mL.

02A price rises from $40 to $50. What is the percent increase?

The increase is $10. Divide 10 by the original 40 to get 0.25, or 25 percent.

03Solve 4/7 = x/21.

Cross-multiply: 4 × 21 = 7x, so x = 12.

04A patient drinks 3/5 of a 600 mL container. How much was consumed?

Multiply 600 by 3/5 to get 360 mL.

05Why is 0.4 a poor answer for 40 percent of 80?

Forty percent is the multiplier 0.4; the requested amount is 0.4 × 80 = 32.

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