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Ratios, Proportions & Percentages Worksheet Maker

Creates printable worksheets covering ratios and rates: simplifying ratios, equivalent proportions, finding unit rates, percent of a number, discount and sales tax calculations, and percent increase/decrease with complete answer keys.

Ratios, Proportions & Percentages Worksheet Maker

Generate printable proportion solving, unit rates, percentages, and discount worksheets

Ratios & Proportions Practice

Score: _______ / 10
1) Solve for x: 6 / 8 = 12 / x
Show Work
2) Solve for x: 3 / 8 = 9 / x
Show Work
3) Solve for x: 3 / 4 = 15 / x
Show Work
4) Solve for x: 3 / 9 = 9 / x
Show Work
5) Solve for x: 5 / 5 = 25 / x
Show Work
6) Solve for x: 7 / 5 = 28 / x
Show Work
7) Solve for x: 6 / 5 = 18 / x
Show Work
8) Solve for x: 5 / 10 = 25 / x
Show Work
9) Solve for x: 7 / 10 = 14 / x
Show Work
10) Solve for x: 2 / 7 = 10 / x
Show Work

What is Ratio & Percentage Practice?

Ratios and percentages form the mathematical foundation for commercial math, statistics, chemistry stoichiometry, and everyday financial literacy.

Worksheet practice reinforces cross-multiplication for proportions, decimal-to-percent conversions, and multi-step consumer pricing calculations.

Formula & Step-by-Step Calculation

\frac{a}{b} = \frac{c}{d} \iff ad = bc, \quad \text{Percent} = \frac{\text{Part}}{\text{Whole}} \times 100\%, \quad \text{Change} = \frac{|V_2 - V_1|}{V_1} \times 100\%

Cross-multiplication proportion equality and standard percentage formulas.

Worked Step-by-Step Examples

Example 1

A $60 jacket is on sale for 25% off with an 8% sales tax. What is the final price?

Solution: $48.60 final price
• Discount: 25% of $60 = $15 ⟹ Sale price = $45
• Tax: 8% of $45 = $3.60
• Final total: $45 + $3.60 = $48.60

Common Real-World & Academic Use Cases

  • ✓ 6th to 8th grade proportional reasoning homework
  • ✓ Consumer math and personal finance classroom units
  • ✓ Unit rate grocery shopping comparisons
  • ✓ Science density and concentration ratio foundations

How to Use the Ratios, Proportions & Percentages Worksheet Maker

1

Select Topic

Choose Equivalent Ratios, Solving Proportions, Unit Rates, Percentages, or Discounts & Taxes.

2

Select Problem Count

Choose 10, 15, or 20 problems.

3

Print Worksheet

Print with space for proportional setups and multi-step calculations.

Frequently Asked Questions

Q: Does the answer key show cross-multiplication steps?

Yes, proportion answer keys display the cross-multiplication equation (a·d = b·c) and the single-step algebraic division to solve for the unknown.

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