multiplicationcharts.app

Fact Families Worksheet Generator

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Fact family triangles or houses for multiplication and division or addition and subtraction, with an answer key. Make a new sheet any time.

Shape

Up to 24 characters. The name is drawn on the sheet and nowhere else. It is not saved, and it is not in the file name.

What to write
Families on a page
Answer key

The same number prints the same problems.

Style
Options: paper size
Paper
  • Free
  • No ads
  • US Letter or A4

Class set

One copy for every student: type the first names and get one PDF, with each name on that student's own pages. Every student's pages use the same settings.

Class lists are used only to draw the pages and are never saved.

Every student gets the same problems (the same Sheet number), so one answer key checks them all.

Multiplication Fact FamiliesNameDateWrite the missing number in each family, then its four facts.Multiplication and division, facts to 10 × 10 · 9 families808×=×=÷=÷=57×=×=÷=÷=105×=×=÷=÷=568×=×=÷=÷=364×=×=÷=÷=86×=×=÷=÷=408×=×=÷=÷=284×=×=÷=÷=728×=×=÷=÷=Free at multiplicationcharts.appSheet 1

Updates as you choose. Print at 100% (actual size) so nothing is cut off.

Practicing multiplication? Multiplication worksheets

Three sheets to start with

Six fact family triangles with every number and fact written in

A worked example

Every number is written in, so the sheet shows how a family works: 8 × 10 = 80; 10 × 8 = 80; 80 ÷ 8 = 10; 80 ÷ 10 = 8.

Fact family houses with lines for the four facts

Houses to 12 × 12

Each house holds its three numbers; the four facts are lines to write. The first house holds 4, 12 and 48.

Addition and subtraction fact family triangles with a missing number

Addition and subtraction

Twelve families with sums to 20, one number in each triangle left empty. The first family is 9, 10 and 19.

How to use it

  1. Choose the facts and triangles or houses, then which numbers are left to write.
  2. Press Download PDF, or Print to print it straight away.
  3. Choose Yes under Answer key to add a second page with every answer, under the same sheet number.

Ink saver leaves out the colored fills, for a black-and-white printer or to use less ink.

Charts to print

Chart 1–12Up to 144Chart 1–10Up to 100Chart 1–15Up to 225Chart 1–20Up to 400Blank chartFill it inTimes table chartEvery table written outChart 1–100100 × 100, on 40 pagesHundreds chartCounting 1–100WorksheetsPractice problemsAddition and subtractionWorksheets and timed testsDivisionFacts and long divisionNumber bondsTo 5, 10, 20 or 100Flash cardsTimes tables 1 to 12Chart 1–25Up to 625Chart 1–30Up to 900Chart 1–50Up to 2500Skip countingBy 2s, 5s, 10s and more

Times tables

One sheet for each table from 2 to 12: the facts, then a practice column.

Questions and answers

What is a fact family?

Three numbers that make four related facts. 3, 4 and 12 give 3 × 4 = 12, 4 × 3 = 12, 12 ÷ 3 = 4 and 12 ÷ 4 = 3.

Triangles or houses?

Both hold the same three numbers. The triangle puts the whole in its top corner; the house puts it in the roof, with the two parts on the floor and the four facts inside.

Are there addition and subtraction fact families?

Yes. Choose addition and subtraction to 20 or to 100: 5, 8 and 13 give 5 + 8 = 13, 8 + 5 = 13, 13 – 5 = 8 and 13 – 8 = 5.

Why are the two parts never the same number?

With two equal parts, such as 6 × 6 = 36, a family has two facts, not four, so this generator leaves those out.

Is there a fact family answer key?

Yes. Choose Answer key: page 2 fills in every empty number and all four facts. A worked sheet already shows everything, so it has no key.

Preview