Multiplication Chart 1 to 10
The hundred facts from 1 × 1 to 10 × 10 in one square. Tap or hover over any square to light up its row and column.
More options1–10
Chart size
Answers
| Rows times columns | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
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6 × 7
42
6 rows of 7, or 7 rows of 6: both make 42.
- Turned round
- 7 × 6 = 42
- As division
- 42 ÷ 6 = 7
How this works: Method, 4 sources,
How this works
Method
Each square holds its row number times its column number, so the chart is a hundred multiplication facts laid out in order. Reading along row 6 gives the 6 times table, 6 to 60; reading down column 6 gives the same numbers again, because 6 × 4 and 4 × 6 are one fact. Full method
Sources
- Common Core State Standards for Mathematics, Grade 3, 3.OA.C.7 (2010)
- Department for Education, National curriculum in England: mathematics programmes of study (2013)
- Common Core State Standards for Mathematics, Grade 3 (3.OA.B.5, 3.OA.C.7) (2010)
- Standards and Testing Agency, Multiplication tables check assessment framework (updated March 2022, 2018)
Changes
- First published: the chart from 1–10 to 1–20, practice with progress for each person, printable charts and sheets, the 2 to 12 tables and check practice.
How the 1 to 10 chart works
Each square holds its row number times its column number, so the chart is a hundred multiplication facts laid out in order. Reading along row 6 gives the 6 times table, 6 to 60; reading down column 6 gives the same numbers again, because 6 × 4 and 4 × 6 are one fact.
That symmetry means the hundred squares hold only 55 different facts: the 10 square numbers on the diagonal, from 1 to 100, and 45 facts that appear twice, once on each side. Learn one side and the other is free.
The last row and column are the 10 table, every answer ending in 0, and the column of fives alternates 5 and 0. A 10 by 10 chart is usually where people start, before going on to 11 and 12.
row a, column b → a × b
- In the US, the Common Core expects students to know all products of two one-digit numbers from memory by the end of grade 3. Source: Common Core State Standards for Mathematics, Grade 3, 3.OA.C.7 (2010).
- In England, pupils learn to recall and use the 2, 5 and 10 multiplication tables in year 2 (age 6 to 7). Source: Department for Education, National curriculum in England: mathematics programmes of study (2013).
Each row of the 1 to 10 chart
A row’s answers and their total. Each row adds up to its number times 55, because 1 + 2 + … + 10 = 55.
| Row | Answers | Row total |
|---|---|---|
| 1 × | 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 | 55 |
| 2 × | 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 | 110 |
| 3 × | 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 | 165 |
| 4 × | 4, 8, 12, 16, 20, 24, 28, 32, 36, 40 | 220 |
| 5 × | 5, 10, 15, 20, 25, 30, 35, 40, 45, 50 | 275 |
| 6 × | 6, 12, 18, 24, 30, 36, 42, 48, 54, 60 | 330 |
| 7 × | 7, 14, 21, 28, 35, 42, 49, 56, 63, 70 | 385 |
| 8 × | 8, 16, 24, 32, 40, 48, 56, 64, 72, 80 | 440 |
| 9 × | 9, 18, 27, 36, 45, 54, 63, 72, 81, 90 | 495 |
| 10 × | 10, 20, 30, 40, 50, 60, 70, 80, 90, 100 | 550 |
Frequently Asked Questions
How many facts are on a 1 to 10 multiplication chart?
100 squares, but 55 different facts: 10 squares on the diagonal (1 × 1 to 10 × 10) and 45 pairs such as 3 × 7 and 7 × 3 that share an answer.
What do all the numbers on a 10 by 10 chart add up to?
3,025. Each row adds up to its number times 55, and the rows are 1 to 10 times 55, so the total is 55 × 55 = 3,025.
Should I learn up to 10 or up to 12?
Many US charts stop at 10, and the Common Core asks for products of one-digit numbers; England’s curriculum goes to 12 × 12. Start with 1 to 10 and add 11 and 12 once these feel easy.