Knowing multiplication tables by heart is a fundamental maths skill that underpins all higher mathematics. This comprehensive guide provides complete times tables charts, memory tricks, and strategies to help children (and adults!) master their times tables.
Complete Multiplication Grid (1-12)
This reference grid shows all multiplication facts from 1×1 to 12×12:
| × | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
| 2 | 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 | 18 | 20 | 22 | 24 |
| 3 | 3 | 6 | 9 | 12 | 15 | 18 | 21 | 24 | 27 | 30 | 33 | 36 |
| 4 | 4 | 8 | 12 | 16 | 20 | 24 | 28 | 32 | 36 | 40 | 44 | 48 |
| 5 | 5 | 10 | 15 | 20 | 25 | 30 | 35 | 40 | 45 | 50 | 55 | 60 |
| 6 | 6 | 12 | 18 | 24 | 30 | 36 | 42 | 48 | 54 | 60 | 66 | 72 |
| 7 | 7 | 14 | 21 | 28 | 35 | 42 | 49 | 56 | 63 | 70 | 77 | 84 |
| 8 | 8 | 16 | 24 | 32 | 40 | 48 | 56 | 64 | 72 | 80 | 88 | 96 |
| 9 | 9 | 18 | 27 | 36 | 45 | 54 | 63 | 72 | 81 | 90 | 99 | 108 |
| 10 | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 | 100 | 110 | 120 |
| 11 | 11 | 22 | 33 | 44 | 55 | 66 | 77 | 88 | 99 | 110 | 121 | 132 |
| 12 | 12 | 24 | 36 | 48 | 60 | 72 | 84 | 96 | 108 | 120 | 132 | 144 |
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Times Tables Tricks and Patterns
9 Times Table - The Finger Trick
Hold up both hands with fingers spread. For 9×3, put down your 3rd finger. Count fingers before it (2) and after it (7). Answer: 27!
Works for 9×1 through 9×10. Also notice: digits always sum to 9 (e.g., 9×7=63, and 6+3=9).
Patterns by Table
| Table | Pattern/Trick | Example |
|---|---|---|
| 1× | Any number × 1 = itself | 1 × 7 = 7 |
| 2× | Double the number | 2 × 8 = 8 + 8 = 16 |
| 3× | Double + add once more | 3 × 7 = 14 + 7 = 21 |
| 4× | Double, then double again | 4 × 6 = 12 → 24 |
| 5× | Ends in 0 or 5, alternating | 5, 10, 15, 20, 25... |
| 6× | 5× + the number | 6 × 7 = 35 + 7 = 42 |
| 7× | No simple pattern - memorise | Practice needed |
| 8× | Double three times | 8 × 7 = 7→14→28→56 |
| 9× | 10× minus the number | 9 × 7 = 70 - 7 = 63 |
| 10× | Add a zero | 10 × 8 = 80 |
| 11× | Repeat digit (1-9) | 11 × 4 = 44 |
| 12× | 10× + 2× | 12 × 7 = 70 + 14 = 84 |
Most Commonly Forgotten Facts
Research shows these multiplication facts are most often forgotten or answered incorrectly:
| Rank | Multiplication | Answer | Memory Tip |
|---|---|---|---|
| 1 | 7 × 8 | 56 | "5, 6, 7, 8" - 56 = 7 × 8 |
| 2 | 6 × 8 | 48 | "6 and 8 went on a date, they came back as 48" |
| 3 | 8 × 8 | 64 | Chess board has 64 squares (8×8) |
| 4 | 6 × 7 | 42 | The answer to life, the universe, and everything! |
| 5 | 7 × 9 | 63 | Digits sum to 9 (6+3=9) |
| 6 | 8 × 9 | 72 | Digits sum to 9 (7+2=9) |
| 7 | 6 × 9 | 54 | Digits sum to 9 (5+4=9) |
| 8 | 7 × 7 | 49 | 7 dwarfs × 7 dwarfs = 49 |
| 9 | 12 × 7 | 84 | 70 + 14 = 84 (use 10× + 2× trick) |
| 10 | 12 × 8 | 96 | 80 + 16 = 96 (use 10× + 2× trick) |
The UK Multiplication Tables Check (MTC)
The MTC is a statutory assessment for Year 4 pupils (ages 8-9) in England:
| Aspect | Detail |
|---|---|
| Questions | 25 multiplication facts |
| Time per question | 6 seconds |
| Total test time | About 5 minutes |
| Format | On-screen, type the answer |
| When | June, Year 4 |
| Tables tested | 2× to 12× (not 1× or square numbers primarily) |
| Emphasis | More questions on 6×, 7×, 8×, 9×, 12× |
Recommended Learning Order
- Start with: 1×, 2×, 10× (easiest patterns, build confidence)
- Then: 5×, 11× (clear alternating and repetition patterns)
- Next: 3×, 4× (building blocks for harder tables)
- Then: 9× (finger trick makes it manageable)
- Finally: 6×, 7×, 8×, 12× (hardest, need most practice)
Learning Strategies
For Visual Learners
- Colour-coded multiplication grids
- Flash cards with pictures
- Times tables posters on walls
- Highlighting patterns in number sequences
For Auditory Learners
- Times tables songs and chants
- Verbal recitation (say them out loud)
- Recording and listening back
- Times tables rhymes and stories
For Kinesthetic Learners
- Physical games (hopscotch with answers)
- Throwing and catching while reciting
- Writing tables in sand, shaving foam, or flour
- Times tables board games
Practice Resources
| Resource | Type | Best For |
|---|---|---|
| Times Tables Rock Stars | App/Website | Gamified practice, school-linked |
| Hit the Button | Website | Speed practice, free |
| Multiplication.com | Website | Games and worksheets |
| BBC Bitesize | Website | Explanations and quizzes |
| Physical flash cards | Cards | Screen-free practice |
| Times tables workbooks | Books | Written practice |
Times Tables in the UK National Curriculum
Multiplication tables hold a central place in the England national curriculum for mathematics. The Department for Education requires all children to know their times tables up to 12 x 12 by the end of Year 4 (ages 8 to 9). To assess this, the Multiplication Tables Check (MTC) was introduced as a statutory requirement for all state-funded primary schools in England from the 2021/22 academic year. The MTC is an on-screen test consisting of 25 questions, with pupils given 6 seconds to answer each question. Results are reported to parents and used by schools to identify pupils who need additional support.
The emphasis on times tables fluency reflects research showing that automatic recall of multiplication facts is a strong predictor of success in later mathematics, including fractions, algebra, and problem-solving. The national curriculum sets out a progressive approach: Year 2 pupils (ages 6 to 7) should know the 2, 5, and 10 times tables; Year 3 pupils should add the 3, 4, and 8 times tables; and Year 4 pupils should master all tables up to 12 x 12. Scotland, Wales, and Northern Ireland have their own curricula with similar expectations, though the timing and assessment methods differ. Scotland's Curriculum for Excellence expects multiplication fluency by the end of the First Level (approximately ages 6 to 9).
UK primary schools use a variety of methods to teach times tables, including chanting, songs, interactive games, and online platforms such as Times Tables Rock Stars (TTRS), which is used by over 90 percent of primary schools in England. The Ofsted framework for mathematics inspection specifically looks for evidence that pupils have developed fluent recall of number facts including times tables. Parents can support their children's learning at home by practising regularly in short bursts of 5 to 10 minutes daily, using real-life contexts such as calculating the cost of multiple items when shopping or sharing food equally among family members.
Practical Tips for Learning Times Tables
- Practise in short daily sessions: Research from the Education Endowment Foundation suggests that 5 to 10 minutes of daily practice is more effective than longer, less frequent sessions for building automatic recall of times tables facts.
- Focus on the hardest facts first: Studies show that the 6, 7, 8, and 12 times tables are the most challenging. Prioritise these while maintaining fluency in the easier tables through occasional revision.
- Use real-world UK contexts: Calculate the total cost of multiple items priced in pounds and pence, work out how many weeks until a school holiday, or figure out how many eggs are in several boxes of 6 or 12.
More Questions About Multiplication Tables
What is the Multiplication Tables Check (MTC) in English schools?
Why does the UK curriculum teach up to 12 times tables instead of 10?
How can parents help children who struggle with times tables?
Did You Know? Multiplication Tables in UK Education
Multiplication tables hold a particularly prominent place in the UK education system, with recent government initiatives placing renewed emphasis on times table fluency as a foundational mathematical skill for primary school children.
The Multiplication Tables Check (MTC). Since June 2022, all Year 4 pupils (aged 8-9) in state-funded schools in England must take a statutory Multiplication Tables Check. The MTC tests times tables up to 12 x 12, with children given 6 seconds per question across 25 randomly generated questions. The test is administered online and results are reported to parents and the Department for Education. In the most recent results, the average score was 19.6 out of 25, with 27 percent of pupils achieving full marks. Understanding the MTC helps parents support their children's preparation and appreciate the importance placed on times table fluency in the current national curriculum.
National Curriculum expectations. The English national curriculum sets clear expectations for times table knowledge by year group. By the end of Year 2 (age 6-7), children should know the 2, 5, and 10 times tables. By the end of Year 3 (age 7-8), they should add the 3, 4, and 8 times tables. By the end of Year 4 (age 8-9), children are expected to have fluent recall of all multiplication facts up to 12 x 12. Scottish Curriculum for Excellence and the Welsh Curriculum for Wales have similar expectations, though without the formal statutory check used in England.
Free UK learning resources. Several high-quality, free resources are available for UK families supporting times table learning at home. Times Tables Rock Stars (TTRS), developed by a UK maths teacher, is used by over 90 percent of primary schools in England and offers a home subscription. The BBC Bitesize website provides times table games, videos, and practice tests aligned to the UK national curriculum. The government-funded National Centre for Excellence in the Teaching of Mathematics (NCETM) also offers parent guidance on supporting multiplication learning at home.