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Fair Shares or Not? is a free printable Grade 2 math worksheet on deciding whether a whole is cut into equal thirds or fourths, aligned to Common Core standard 2.G.A.3. It prints 5 questions with an answer key on its own sheet of paper, in 25 versions that each ask different questions, so no two students in the class work from the same page. Print it from the browser or download it as a PDF — no account, no email.

Set 1 of 25 · the same problems every time you open this link.

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All 25 sets ask different questions.

Fair Shares or Not?

2.G.A.3

NameDate

Sort each one into the right box.

1.Sort each one into the right box.

Sort: a rectangle cut into 3 pieces, one tiny, a square cut into 4 small squares the same size, a rectangle cut into 3 strips of different widths, a circle cut into 3 slices the same size

Equal sharesNot equal shares
2.Sort each one into the right box.

Sort: a rectangle cut into 3 pieces, one tiny, a pizza cut into 4 slices, two big and two small, a rectangle cut into 3 strips the same width, a circle cut into 3 slices the same size

Equal sharesNot equal shares
3.Sort each one into the right box.

Sort: a circle cut into 3 slices the same size, a circle cut into 4 slices the same size, a rectangle cut into 3 strips the same width, a square cut corner to corner both ways into 4 matching triangles

Equal sharesNot equal shares
4.Sort each one into the right box.

Sort: a circle cut into 4 slices the same size, a pizza cut into 4 slices, two big and two small, a circle cut into 3 slices, one much bigger, a circle cut into 3 slices the same size

Equal sharesNot equal shares
5.Sort each one into the right box.

Sort: a square cut into 4 pieces of different sizes, a pizza cut into 4 slices, two big and two small, a square cut into 4 small squares the same size, a circle cut into 3 slices the same size

Equal sharesNot equal shares

LessonPrint · 2.G.A.3 · Set 1 · free to copy for classroom use

Answer key — Fair Shares or Not?

Set 1. Prints on its own sheet.

  1. 1.Equal shares: a square cut into 4 small squares the same size, a circle cut into 3 slices the same size; Not equal shares: a rectangle cut into 3 pieces, one tiny, a rectangle cut into 3 strips of different widths
  2. 2.Equal shares: a rectangle cut into 3 strips the same width, a circle cut into 3 slices the same size; Not equal shares: a rectangle cut into 3 pieces, one tiny, a pizza cut into 4 slices, two big and two small
  3. 3.Equal shares: a circle cut into 3 slices the same size, a circle cut into 4 slices the same size, a rectangle cut into 3 strips the same width, a square cut corner to corner both ways into 4 matching triangles; Not equal shares: —
  4. 4.Equal shares: a circle cut into 4 slices the same size, a circle cut into 3 slices the same size; Not equal shares: a pizza cut into 4 slices, two big and two small, a circle cut into 3 slices, one much bigger
  5. 5.Equal shares: a square cut into 4 small squares the same size, a circle cut into 3 slices the same size; Not equal shares: a square cut into 4 pieces of different sizes, a pizza cut into 4 slices, two big and two small

Questions about Fair Shares or Not?

What does the Fair Shares or Not? worksheet cover?

It practices deciding whether a whole is cut into equal thirds or fourths — 5 questions for Grade 2, all on Common Core 2.G.A.3: Split shapes into halves, thirds and quarters. The instruction to students is “Sort each one into the right box”, and the answer key follows on the next sheet.

Which Common Core standard does Fair Shares or Not? practice?

CCSS.MATH.CONTENT.2.G.A.3 — 2.G.A.3, under Geometry for Grade 2. The published standard reads: “Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc.” The worksheet assesses that standard rather than a paraphrase of it.

What age or grade is this worksheet for?

Fair Shares or Not? is written for Grade 2, typically ages 7-8. It is one of the sheets on 2.G.A.3, so it suits any student working at that standard — including older students revisiting it and younger ones working ahead.

Does Fair Shares or Not? come with an answer key?

Yes. All 5 answers are generated from the same problems as the questions, so the key cannot drift out of step with the sheet. It starts on a fresh sheet of paper, after the questions, so it is not handed out with the class by accident.

How many different versions of Fair Shares or Not? can I print?

25 — one per student, and all 25 ask different questions. Set 1 downloads the whole class as a single PDF. Every version is fixed to its own address, so a sheet printed today holds the same problems when you reopen it next week.

Is Fair Shares or Not? free to print and photocopy?

Yes. Fair Shares or Not?, its answer key and its 25 versions are free to print and photocopy for your own class, with no account, no email capture and no subscription at the download step. Please do not resell them or republish them as your own.

More practice for 2.G.A.3

Split shapes into halves, thirds and quarters.

All Grade 2 worksheets

Last reviewed 2026-09-05. Aligned to 2.G.A.3 of the Common Core State Standards for Mathematics.