Grade 7 Solving Proportions Worksheets
Find the unknown value that makes two ratios equal.
Every sheet below is generated fresh with a matching answer key. Pick one of the three levels, preview it, and print or download the PDF — no account, no watermark. For the other grade 7 ratios & proportions skills, see all ratios & proportions worksheets.
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Ratios & Proportions · Grade 7
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Grade 7 · 2 pages · A4What each level generates
Grade 7 solving proportions — the exact skill behind each difficulty setting, straight from the generator.
- Level 1Whole-number scale factor
- Level 2Unknown numerator
- Level 3Unknown denominator
Grade levels follow the progression common to most English-language curricula — not one specific national curriculum. Every level shows exactly what it generates, so you can check the fit with your own program. See the full scope & sequence →
More Grade 7 ratios & proportions skills
Each one generates a different kind of question, with its own three levels and answer key.
- Unit RatesFind the amount for one — per minute, per hour, per item.
- Proportion Word ProblemsRecipes, fuel, wages and prices that scale in proportion.
- Constant of ProportionalityFind the k in y = kx, then use it to answer either way round.
- Scale Drawings and MapsConvert between a plan, a map or a model and the real thing.
- Sharing in a RatioSplit an amount of money or a pile of counters in a given ratio.
Frequently asked questions
▸What is a proportional relationship?
Two quantities are proportional when their ratio is constant — double one and the other doubles. In a table the ratios are all equal, and on a graph the points form a straight line through the origin, described by the equation y = kx.
▸How do you find the constant of proportionality?
Divide one quantity by the other to get the unit rate, which is the constant k. If 3 kg cost 12 dollars, then k = 12 ÷ 3 = 4 dollars per kg. The Constant of Proportionality sub-skill here builds exactly this skill.
▸How is Grade 7 ratio work different from Grade 6?
Grade 6 introduces ratio language and unit rate; Grade 7 uses proportional relationships to reason further — identifying the constant of proportionality, writing y = kx equations, and solving multi-step percent problems. The Solving Proportions sub-skill steps up to finding an unknown value.
▸Can I use these worksheets for percent, tax, and tip problems?
These sheets drill the underlying skills — solving proportions, scaling quantities, and the constant of proportionality — that make percent problems solvable. For dedicated percent, discount, and tax practice, use the Percentages topic, which is built for that.
▸Can I make a version for a substitute teacher or a retest?
Yes. The shareable link reproduces the identical worksheet and answer key, so a substitute prints the exact sheet you planned. Press Shuffle instead for a fresh set at the same difficulty when you need a clean retest, and switch on the easy-read font if a student finds dense pages hard to track.