Free Sample Workbook · Math

Free 5th grade math worksheets, with the lesson and the answer key

One full topic — Expressions and patterns — as a printable PDF. No payment.

30 questions16 printed pages0.5 MBPDF

Download the free sample (PDF)Or open it in your browser

PDF · 16 pages · 0.5 MB · prints on US Letter · black and white works too.

The topic inside: Expressions and patterns

Parentheses, order of operations, numerical patterns

5.OAAges 10–11

Key words

  • expression — A math phrase with numbers and operations but no equal sign, like 3 × (4 + 2)
  • parentheses ( ) — Grouping symbols that tell you to do what is inside them first
  • brackets [ ] and braces { } — Grouping symbols used around parentheses when there are groups inside groups
  • order of operations — The agreed order for doing math: grouping symbols first, then multiply and divide from left to right, then add and subtract from left to right
  • numerical pattern — A list of numbers made by following a rule, like add 3
  • ordered pair — Two numbers written as (x, y) that go together

What you need at home: Paper and pencil; Index cards; A calculator for checking (optional); Colored pencils.

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 112 printed pages, with the answer key included. $9.99 as a PDF you print at home, as many copies as you need for your own household.

Free samples in 5th grade

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Questions parents ask

What exactly do I get?

One PDF of 16 pages (0.5 MB): the Expressions and patterns 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?

Expressions and patterns is the first of 8 topics in 5th grade Math. The full workbook has 440 questions over 112 printed pages, with the answer key.

Do you publish grades above 5?

UpOnly Learning publishes kindergarten through grade 5. Nothing above grade 5 is available.