Free Printable Multiplication Chart (1-12, 1-15, 1-20)

How to read a multiplication chart

A multiplication chart is a grid of numbers where the rows and columns are factors and each cell shows their product. To find any multiplication fact — say 7 × 8 — locate row 7 and column 8 (or column 7 and row 8 — multiplication is commutative). Where the row and column meet, you’ll find the answer: 56. Every multiplication chart works this way, regardless of size.

Once your child can read facts off the chart fluently, the next stage is recall — producing the answer without looking. That’s where the blank fill-in chart comes in.

Patterns kids should notice

Multiplication charts teach more than facts — they reveal structure. Point these out to your child as they work with the chart:

• The diagonal shows perfect squares. 1, 4, 9, 16, 25, 36 — these are 1×1, 2×2, 3×3, etc. The whole chart is symmetric across this diagonal because of the commutative property.
• The 9s column has a hidden trick. Look at the digits of any 9-times answer (9, 18, 27, 36, 45, 54…). The two digits always add to 9. And the tens digit increases by one each row.
• The 5s end in 0 or 5. Always. This makes the 5s the easiest column to memorize after the 1s, 2s, and 10s.
• Even × even = even, odd × odd = odd, but odd × even = even. Once your child notices this, they can spot wrong answers instantly (if 7×8 came out odd, something’s wrong).
• The 11s are repunits up to 11×9. 11, 22, 33, 44, 55, 66, 77, 88, 99 — then the pattern breaks at 11×10.

Which chart size for which grade

Different curricula and ages call for different chart sizes. Use this as a starting point and adjust to your child:

• 10×10 chart — 2nd-3rd grade. Covers the foundational facts most state standards expect by end of 3rd grade.
• 12×12 chart — 3rd-4th grade. The Common Core standard for fluent recall. Includes the often-tested 11s and 12s.
• 15×15 chart — 4th-5th grade or advanced learners. Useful as a wall-poster reference once basic fluency is established.
• 20×20 chart — 5th grade and up. Mostly used as a reference; memorization beyond the 12s isn’t typical.
• 100×100 chart — reference only. For students exploring patterns or working with larger numbers.

You can also drill individual times tables one at a time using our individual 2s, 5s, 7s, or any other table page.

Memorization strategies that work

The blank fill-in chart is the single most useful tool for building multiplication fluency. Here’s the routine that works for most homeschool families:

1. Print one filled chart and post it on the wall. This is the reference. Your child will glance at it dozens of times in the early weeks. That’s normal — the goal is exposure first, recall second.
2. Print one blank chart per day. Have your child fill in everything they know from memory in 5-10 minutes. Don’t correct mistakes immediately — let them check against the wall reference and self-correct.
3. Build outward from the easy facts. Most kids find 1s, 2s, 5s, and 10s easy. Lock those in first. Then add 3s, 4s, and 11s. Then 6s, 7s, 8s, 9s, 12s — the trickier middle.
4. Track progress weekly, not daily. Daily practice + weekly check-ins beats daily testing. Use the curriculum tracker from our homeschool planner to log which facts are locked in.
5. Don’t skip patterns for drill. Pattern recognition is what makes the facts stick. Drilling without pattern instruction often produces short-term memorization that fades over the summer.

Why we generate these charts ourselves

Most "free multiplication chart" sites publish low-resolution images that print pixelated. Ours render fresh PDFs in your browser using vector graphics — sharp at any print size. Math content is aligned to Common Core State Standards for Mathematics and NCTM grade-level guidance. Answer keys are computed from the multiplication, never hand-written, so transcription errors are impossible.