Ratio & proportion worksheets
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Ratios and proportions
Grade 6
Simplify ratios, solve proportions, find unit rates, and write ratios as percents
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In teaching order
Ratios & proportions worksheets, easiest first
Each sheet assumes the one above it is comfortable. Start where your child is, not at the top.- Ratios and proportions
Print 6 : 8 = ___ : ___ - Solving proportions
Print 3 : __ = 24 : 64 - Unit rate
Print $10 for 2 = __ each - Sharing in a ratio
Print 40 in 3 : 5 → 25 - Constant of proportionality
Print x: 2, 5 y: 24, 60 → k - Finding k from a table
Print x: 2, 5 y: 24, 60 → k - Writing y = kx
Print x: 2, 5 y: 24, 60 → y = 12x - Writing a ratio as a percent
Print 3 : 4 → 75%
A simple way through ratios & proportions
A ratio behaves exactly like a fraction. 6 : 8 and 3 : 4 are the same ratio, reduced the same way you reduce a fraction — divide both terms by their greatest common factor. Getting comfortable that one ratio has many equal forms is what makes everything after it work, because a proportion is just two of those equal forms set side by side: 2 : 3 = 8 : ?, solved by finding what scales the first ratio into the second.
Why this order works
Unit rate is the form the real world uses. Stripping a ratio down to "per one" — $12 for 4 is $3 each, 120 km in 3 hours is 40 km per hour — is how prices, speeds, and recipes are actually compared, and it is a short step from a proportion. It is worth practicing on its own because a child meets it constantly outside the worksheet.