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Patterns in tables

Finding patterns in multiplication and addition tables, and explaining them: every row grows by the same amount, and even times any number is even.

Make a sheetDownload PDFThe PDF has this sheet, its answer key and a guide for grown-ups.

How to help

Fill each box by multiplying its row and column numbers. Then look along a row or down a column: each step adds the same amount.

Watch for: Adding the row and column numbers instead of multiplying. Losing their place and reading the wrong row. Naming a pattern without checking it in the table.

At home: Ask what they notice in a times table: the 5s end in 0 or 5, and the digits of the 9s add up to 9.

Sample sheet and answer key

Luna's Space Adventure

Grade 3 · Patterns in tables · 3.OA.D.9

NameDate

Astronaut Luna is exploring a far-off corner of space. Solve each problem to help Luna's mission go smoothly!

Finish the table

Fill in the empty boxes. Look for patterns as you go.

×12345678910
1124578910
224141820
339121524
44123240
551525354550
6612182430364260

Spot the pattern

Circle the answer. Check it in the table.

The 4s row is the 2s row…doubledhalved

Every number in the 4s row is…evenodd

An odd number times an odd number is…evenodd

The 5s row ends in…0 or 5any digit

An addition table

Each row goes up by one. Why?

+12345678910
1234781011
24567811
35789101113
46910121314
Mathness! Math Worksheets · © 2026 Zubin KhavarianCode 3OAD9-SP-FIRST at mathness.app
Sheet

Luna's Space Adventure

Grade 3 · Patterns in tables · 3.OA.D.9

Answer key

Astronaut Luna is exploring a far-off corner of space. Solve each problem to help Luna's mission go smoothly!

Finish the table

Fill in the empty boxes. Look for patterns as you go.

×12345678910
112345678910
22468101214161820
336912151821242730
4481216202428323640
55101520253035404550
66121824303642485460

Spot the pattern

Circle the answer. Check it in the table.

The 4s row is the 2s row…doubledhalved

Every number in the 4s row is…evenodd

An odd number times an odd number is…evenodd

The 5s row ends in…0 or 5any digit

An addition table

Each row goes up by one. Why?

+12345678910
1234567891011
23456789101112
345678910111213
4567891011121314
Mathness! Math Worksheets · © 2026 Zubin KhavarianCode 3OAD9-SP-FIRST at mathness.appAnswer key
Answer key

New problems every time, three levels (gentle, core and stretch), themes to pick from, a second page if you want one. Each sheet comes with an answer key and a one-page guide for grown-ups.

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Standard

Common Core 3.OA.D.9 · Find and explain patterns in addition and multiplication tables.

Also: Maryland 2025 3.AT.A.3 · Florida B.E.S.T. MA.3.AR.3.3 · Virginia SOL 3.PFA.1

More grade 3 sheets: operations & algebraic thinking