Multiplication & Division
Master your times tables up to 12, learn multiplication strategies, and tackle long multiplication!
Times Tables to 12
By Year 4, you should be working towards knowing all your times tables up to 12 × 12. Here are some of the trickier ones to remember:
× 7 Facts
7 × 6 = 42
7 × 7 = 49
7 × 8 = 56
7 × 9 = 63
7 × 12 = 84
× 8 Facts
8 × 6 = 48
8 × 7 = 56
8 × 8 = 64
8 × 9 = 72
8 × 12 = 96
× 12 Facts
12 × 6 = 72
12 × 7 = 84
12 × 8 = 96
12 × 9 = 108
12 × 12 = 144
💡 Handy Tricks
- ● × 9 trick: Multiply by 10, then subtract the number. E.g. 7 × 9 = 70 − 7 = 63
- ● × 12 trick: Multiply by 10, then add double the number. E.g. 6 × 12 = 60 + 12 = 72
- ● Order doesn't matter: 8 × 7 = 7 × 8 = 56
Multiplication Strategies
Partitioning (Split Strategy)
Break a number into parts, multiply each, then add:
23 × 4
= (20 × 4) + (3 × 4)
= 80 + 12
= 92
Doubling Strategy
Use doubling for × 4 and × 8:
15 × 4
Double 15 = 30 (that is × 2)
Double 30 = 60 (that is × 4)
= 60
Introduction to Long Multiplication
For bigger numbers, we can set out our work neatly using long multiplication. Let's try 34 × 6:
3 4
× 6
Step 1: 6 × 4 = 24 (write 4, carry 2)
Step 2: 6 × 3 = 18, + 2 = 20
2 0 4
✔ Steps for Long Multiplication
- Write the numbers one above the other, lining up the ones column
- Multiply the ones digit first
- If the answer is 10 or more, carry the tens digit
- Multiply the tens digit and add any carry
Division Using Multiplication Facts
Remember: if you know your times tables, you can solve division problems!
If 9 × 8 = 72
then 72 ÷ 9 = 8
and 72 ÷ 8 = 9
If 12 × 7 = 84
then 84 ÷ 12 = 7
and 84 ÷ 7 = 12
Knowledge Check
Choose the correct answer for each question. Questions get harder as you go!
1. What is 6 × 7?
2. What is 72 ÷ 8?
3. What is 11 × 11?
4. Using the × 9 trick, what is 8 × 9?
5. Use partitioning to solve 25 × 3.
6. A school buys 12 packs of pencils. Each pack has 8 pencils. How many pencils in total?
7. 108 ÷ 12 = ?
8. What is 46 × 3?
9. There are 144 eggs. They are packed in trays of 12. How many trays are needed?
10. What is 57 × 8?
Key Concepts Summary
- ●Know your times tables up to 12 × 12.
- ●Use strategies like partitioning and doubling for harder sums.
- ●Long multiplication helps with bigger numbers — multiply ones first, then tens.
- ●Division is the inverse of multiplication — use times tables to solve division.