3 Times Table
Triangles, Tricycles & The Digit Sum Trick
Did you know the digits of any multiple of 3 always add up to 3, 6, or 9?
3 Times Table Reference List
Products alternate: odd, even, odd, even. The sum of the digits of any multiple of 3 is always divisible by 3.
Interactive 3× Table Practice Test
Instant feedback, audio cues & streaksAwesome Work!
You've completed the 3 times table challenge!
3D Flashcards & Cut-Outs
Practice the 3× table with interactive flipping 3D digital cards or print classroom fold-and-cut physical decks.
12×12 Multiplication Chart
Trace coordinate factors on the full Pythagorean matrix, spot glowing square number patterns, and print classroom posters.
1-Click Printable Worksheet (3× Speed Drill)
Page 1: Student 30-question drill. Page 2: Dedicated teacher & parent answer key for rapid grading.
3 Times Table Speed Drill
Multiplication Fluency Practice • Standard: CCSS 3.OA.C.7 • thetimestable.io
3 Times Table — ANSWER KEY
Teacher & Parent Quick-Grading Guide • All 30 Answers Verified
Interactive Array Grid (3× Area Model)
Multiplication represents equal rows and columns. Move the slider to change the grid width.
Commutative Property: Turning the grid on its side shows that 3 × 4 = 4 × 3 = 12.
The 3-Lens Guide to the 3 Times Table
Tailored pedagogical perspectives for students learning, teachers instructing, and parents coaching at home.
Triplets & Triangles: Mastering the 3s
The 3 times table alternates between odd and even: 3 (odd), 6 (even), 9 (odd), 12 (even)...
Top Student Tips
- → The Trike rule: Tricycles have 3 wheels, traffic lights have 3 lenses, triangles have 3 sides.
- → Use the digit check: Always add the digits together. If they don’t make 3, 6, or 9, recalculate!
Secrets & Patterns for the 3× Table
Understanding the underlying mathematical patterns makes memorisation permanent and effortless.
The Magic Digit Sum Rule
Add the digits of your answer. If they add up to 3, 6, or 9, it is guaranteed to be in the 3 times table!
The Tic-Tac-Toe Phone Keypad Trick
Write numbers 1 to 9 in a 3×3 grid from bottom-left upwards. Add 0 to row 1, 1 to row 2, and 2 to row 3: the entire 3 times table appears!
Double Plus One Group
If you are stuck on 3 × N, just double N and add N one more time.
Common Mistakes & Stumbling Blocks
Recognizing predictable misconceptions is the fastest way to build lasting mathematical confidence.
“3 × 7 = 24”
Confusing 3 × 7 (21) with 3 × 8 (24).
Use the digit sum check: for 21, 2 + 1 = 3. Also remember 3 × 7 is one group less than 3 × 8.
“3 × 4 = 7”
Adding 3 + 4 instead of multiplying.
Think: double 4 is 8, plus another 4 is 12.
Real-World Word Problems for the 3× Table
Translating words into multiplication expressions connects abstract numbers to everyday life.
A playground has 6 tricycles for toddlers. Each tricycle has 3 wheels. How many wheels are there in total?
Reveal Answer & Working ▼
6 tricycles with 3 wheels each: 3 × 6 = 18 wheels.
Lucy reads 3 chapters of her adventure book every night for 7 nights. How many chapters does she read in a week?
Reveal Answer & Working ▼
7 nights with 3 chapters each: 3 × 7 = 21 chapters.
A geometry worksheet shows 8 separate triangles. Each triangle has 3 sides. How many sides are there altogether?
Reveal Answer & Working ▼
8 triangles with 3 sides each: 3 × 8 = 24 sides.
A family eats 3 meals a day for 5 days. How many total meals does the family eat during that time?
Reveal Answer & Working ▼
5 days with 3 meals each: 3 × 5 = 15 meals.
A tennis coach opens 9 brand new cans of tennis balls. Each can contains 3 balls. How many balls does the coach have?
Reveal Answer & Working ▼
9 cans of 3 balls each: 3 × 9 = 27 tennis balls.
A busy road junction has 4 traffic lights. Each traffic light has 3 lenses (red, amber, green). How many colored lenses are there?
Reveal Answer & Working ▼
4 traffic lights with 3 lenses each: 3 × 4 = 12 lenses.
Frequently Asked Questions
Common queries about learning and teaching the 3 Times Table.
How can you quickly check if a number is in the 3 times table? ▼
Add up the individual digits. If the sum is 3, 6, or 9 (or divisible by 3), the original number is in the 3 times table. Example: 36 → 3 + 6 = 9, so 36 is in the table.
Why does the 3 times table alternate odd and even? ▼
Because an odd number (3) multiplied by an odd number produces an odd number (e.g. 3 × 3 = 9), while an odd number multiplied by an even number produces an even number (e.g. 3 × 4 = 12).
What is the tic-tac-toe phone keypad trick for the 3 times table? ▼
Draw a 3×3 grid. Fill digits 1 to 9 starting from the bottom-left column moving upward. Add 0 to row 1, 1 to row 2, and 2 to row 3: the entire 3 times table appears (03, 06, 09, 12, 15, 18, 21, 24, 27)!
What is the best strategy if a child forgets 3 × 7 or 3 × 8? ▼
Use the 'Double plus one group' strategy. For 3 × 7: double 7 is 14. Add one more 7 to get 21. For 3 × 8: double 8 is 16. Add 8 to get 24.
When is the 3 times table taught in school? ▼
The 3 times table is introduced and expected to be recalled fluently during Year 3 in the UK (Key Stage 2) and Grade 3 in the US (CCSS 3.OA.C.7).
How does the 3 times table connect to the 6 and 9 times tables? ▼
Since 6 = 3 × 2, every answer in the 6 times table is double the 3 times table. And since 9 = 3 × 3, every multiple of 9 is triple the 3 times table.
Is 0 in the 3 times table? ▼
Yes. 3 × 0 = 0. Zero is a multiple of every whole number, including 3.