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🧮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

See every set in this course and follow a focused review order.

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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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