quantity over matching quantity
HESI A2 Math Practice
Practice fractions, decimals, ratios, proportions, percentages, conversions, dosage-style arithmetic, and word problems.
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Keep like quantities in the same positions.
same order with one unknown
unit and estimated scale
Key ideas to know
Start with the relationships between ideas. Then close the notes and explain each one from memory.
- 01
A fraction names a part-to-whole relationship and can be converted to a decimal by division.
- 02
Ratios compare quantities in a stated order; proportions set two equal ratios.
- 03
Percent means per hundred, so 35 percent equals 0.35 and 35/100.
- 04
Dimensional analysis places conversion units so unwanted units cancel.
- 05
A mixed number must be converted carefully before multiplication or division.
- 06
Order of operations applies grouping, exponents, multiplication or division, then addition or subtraction.
- 07
A word problem should name the requested quantity before numbers are combined.
- 08
An estimate can catch a misplaced decimal or an answer with an impossible scale.
See every set in this course and follow a focused review order.
Open the full HESI A2 guide →Two ideas worth correcting now
Cross-multiplication works without aligning quantities
Each ratio must compare quantities in the same order.
A calculator can choose the conversion
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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