Free Sample Workbook · Math

Free 7th grade math worksheets, with the lesson and the answer key

One full topic — Proportional relationships — as a printable PDF. No payment.

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30 questions17 printed pages0.6 MBPDF

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PDF · 17 pages · 0.6 MB · prints on US Letter · black and white works too.

The topic inside: Proportional relationships

Constant of proportionality; percent problems

7.RPAges 12–13

Key words

  • proportional relationship — Two quantities that always grow or shrink by the same multiplier, so y ÷ x is always the same number.
  • constant of proportionality (k) — The fixed multiplier in y = kx. It is the unit rate: how much y you get for 1 of x.
  • unit rate — A rate per one unit, like 3 dollars per pound or 2 miles per hour.
  • percent — Per hundred. 18% means 18 out of every 100, or 0.18.
  • percent change — How much something grew or shrank compared to where it started: (change ÷ original) × 100.

What you need at home: paper and pencil; a calculator; a grocery receipt or store flyer; measuring cups and water (optional).

What is in the PDF

  1. Quick Check — 10 questionsBefore you teach. It shows what the student already knows.
  2. Learn ItThe lesson you teach from: key words, step-by-step teaching with lines to read aloud, 2 worked examples and 2 common mistakes to watch for.
  3. We Do It Together — 10 questionsWorked side by side. The answer and the reason it is the answer are printed right after each question.
  4. You Try — 10 questionsThe student works alone.
  5. Answer KeyEvery question, its answer and a short explanation.

Each topic names the standard it addresses. That alignment is UpOnly Learning's own reading of the published standards; the people who own those standards do not review or endorse what we publish, and standards change.

After the sample

8 topics, 440 questions and 115 printed pages, with the answer key included. $19.99 as a PDF you print at home, as many copies as you need for your own household.

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Questions parents ask

What exactly do I get?

One PDF of 17 pages (0.6 MB): the Proportional relationships topic in full — 30 questions across three sets, the lesson to teach from, and the answer key.

Do I have to pay or enter a card?

No. The PDF is free to download and free to print for students in your own household.

How does this fit the rest of the year?

Proportional relationships is the first of 8 topics in 7th grade Math. The full workbook has 440 questions over 115 printed pages, with the answer key.

Do you publish grades above 8?

Not yet. Kindergarten through 8th grade now, high school coming soon. We announce each grade when it is ready.