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Multiplication Chart

45 free PDFsUS Letter PDFsAnswer key includedNo login

Clean printable multiplication charts from 1⁠–⁠10 to 1⁠–⁠20, blank and partly filled charts with answer keys, times tables lists, a hundred chart and pattern pages.

Download the multiplication chart worksheets

Multiplication charts

Filled charts from 1⁠–⁠10 to 1⁠–⁠20, a 0⁠–⁠12 chart, landscape 1⁠–⁠10 and 1⁠–⁠12 posters, and a chart with the square numbers shaded.

Blank multiplication charts

Empty 1⁠–⁠10, 1⁠–⁠12 and 1⁠–⁠15 charts (and a landscape 1⁠–⁠12) to fill in, with the completed chart as the key.

Fill in the missing products

Partly filled 1⁠–⁠10 and 1⁠–⁠12 charts, a chart that starts from the 1s, 2s, 5s and 10s, and mixed-up charts with the factors out of order.

Times tables charts

Each times table written out as a list, 1 to 12, 1 to 10 and 2 to 9, plus fill-in versions with keys.

Hundred chart for skip counting

A 1⁠–⁠100 chart for skip counting, and pages that color the multiples of 3, 4, 6, 7, 8 and 9.

How to read a multiplication chart

A step-by-step page that shows how to find a product, and how to read the chart backward to divide.

Patterns in the multiplication table

Color the even products, the square numbers, the 4s row and column, every 24 and the multiples of 5, then explain the pattern. Plus even-or-odd products and chart puzzle pieces.

Print at 100% (actual size) for the cleanest tracing lines.

About these multiplication chart worksheets

A multiplication chart is a grid of products. The numbers down the left side and across the top are the factors, and the box where a row and a column meet holds their product: go across the 6 row and down the 7 column and you land on 42, because 6 × 7 = 42. Every fact from 1 × 1 to 12 × 12 sits on one page.

These charts are made for printing: black and white, heavy outer lines, shaded factor rows, and a slightly heavier line after every 5 and 10 so a child's eye never slips into the wrong row. Choose 1⁠–⁠10 for the facts children must know by heart in 3rd grade, 1⁠–⁠12 for the full times tables, 0⁠–⁠12 to show the zero facts, and 1⁠–⁠15 or 1⁠–⁠20 for older students. The 1⁠–⁠10 and 1⁠–⁠12 charts also come in landscape for the wall.

Children learn more from filling in a chart than from reading one. The blank charts, the partly filled charts and the mixed-up charts (rows and columns out of order) all have answer keys on page 2. The pattern pages ask children to color the even products, the square numbers or one row and its matching column, and to say what they notice.

Standards

  • CCSS.MATH.CONTENT.3.OA.C.7Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.
  • CCSS.MATH.CONTENT.3.OA.D.9Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. For example, observe that 4 times a number is always even, and explain why 4 times a number can be decomposed into two equal addends.
  • CCSS.MATH.CONTENT.3.OA.B.5Apply properties of operations as strategies to multiply and divide. Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15, then 15 × 2 = 30, or by 5 × 2 = 10, then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.)
  • CCSS.MATH.CONTENT.3.OA.B.6Understand division as an unknown-factor problem. For example, find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8.

How to use them

  1. Start with How to Read a Multiplication Chart: find the first factor down the side, the second across the top, and slide to where they meet.
  2. Keep a filled 1–10 or 1–12 chart in a folder or taped to the desk while children are still learning their facts. Fold it away for quizzes.
  3. Use a blank chart once a week. Children fill in the facts they know first (1s, 2s, 5s and 10s), then use those to work out the rest.
  4. Give the partly filled and mixed-up charts as practice. The mixed-up chart cannot be filled by counting along a row, so children really multiply.
  5. Use the pattern pages to talk about why the chart works: the two halves match because 3 × 8 and 8 × 3 are the same product.

Teaching tips

  • Only about half the chart is new to learn. Once a child knows 3 × 8, they also know 8 × 3, and the 1s, 2s, 5s and 10s come quickly.
  • Use a ruler or two strips of paper to track the row and the column on the bigger charts.
  • The square numbers (1, 4, 9, 16 …) run corner to corner. Everything on one side of that line is mirrored on the other.
  • Every product in an even row or an even column is even. An odd product only happens when both factors are odd.
  • Print the landscape charts at 100% scale and pin them at eye level for a class wall chart.

Questions teachers and parents ask

How do you read a multiplication chart?

Find the first number in the left column and the second number in the top row. Slide across the row and down the column. The number in the box where they meet is the product. For 4 × 9, go across the 4 row to the 9 column: 36.

Which multiplication chart should I print?

The 1–10 chart covers every fact children must know from memory by the end of 3rd grade. The 1–12 chart adds the 11s and 12s that many classes also learn. The 1–15 and 1–20 charts are for older students and for finding bigger products quickly.

Is there a blank multiplication chart with answers?

Yes. The blank 1–10, 1–12 and 1–15 charts and all the partly filled charts have the completed chart as an answer key on page 2 of the PDF.

What patterns are in the multiplication chart?

The chart is the same on both sides of the square-number diagonal, because the order of the factors does not change the product. Even rows and columns hold only even products, the 5s end in 0 or 5, and the 9s go up by 1 ten and down by 1 one each time.

Can I print these in black and white?

Yes. Every chart is black and white with light gray headers that copy well, on US Letter or A4.