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Word Problem Wizard (Percent, Ratio, Speed, Concentration)

Pick a template, enter values with units, and get a diagram, formulas, and checks. Everything runs locally in your browser.

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Quick start

  1. Choose a domain and a template (or tap an example).
  2. Enter values with units (fractions and % are OK).
  3. Read the diagram, formulas, and checks.

Wizard

1) Domain

2) Template

Settings

Inputs

Enter numbers as 12, 0.25, 1/4, or 25%.

Diagram / table

Formulas & result

How it’s solved

Checks & tips

Share & export

Your inputs are processed locally in your browser and are not sent to a server.

FAQ

How should I organize a word problem?
Identify what is given, what is unknown, and the units. Then pick a matching template and translate it into a diagram and a short set of formulas.
How do I choose between part, whole, and rate in percent problems?
Use the relation part = whole × rate. If you need the whole, compute whole = part ÷ rate. If you need the rate, compute rate = part ÷ whole.
What does “per part” mean when splitting by ratio?
First add the ratio parts (a+b). One part is total ÷ (a+b). Multiply that by a and b to get each share.
Why is average speed total distance ÷ total time?
Average speed depends on the whole trip. Add distances and times first, then divide.
Why do salt-solution mixtures add solute amounts?
Mixing does not change the amount of salt. Compute salt in each solution and add them. The mixed concentration is total salt ÷ total amount.
How can I avoid mistakes with unit conversion?
Convert to consistent base units first (e.g., meters and seconds). The wizard normalizes units internally and shows the result in your chosen unit.

How to use Word Problem Wizard effectively

Pick the problem type first

Choose percent, ratio, speed, or concentration before you read the generated equation. That keeps the wording and the variable names matched to the school-style problem you are trying to solve.

Use the worked steps as a check

After you generate a problem, compare the wording, equation, and worked answer together. If one part feels off, regenerate once or switch the problem type instead of forcing a mismatched interpretation.

Best classroom workflow

Start with one direct example, then create a second variation that changes only one condition such as the percentage, ratio, speed, or concentration. This makes it easier to explain what changed and why the answer moved.

Common mistakes to avoid

Do not mix percent and decimal forms inside the same explanation, and do not switch units midway through a speed or concentration problem. If the wording feels unnatural, regenerate the prompt before sharing it with learners.

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