X Tables
Times Table Methods

Interleaving times table facts

Mix old and new facts so children learn to choose strategies instead of guessing.

Quick answer

Interleaving times table facts means mixing up different multiplication facts while practising, so children learn to think carefully about which strategy to use instead of guessing or memorising in order.

Learning outcome

By the end of this page, you will understand how interleaving helps you learn times tables better, and you'll be able to mix up different facts when practising. Success signs:
  • You can solve different multiplication facts without getting confused
  • You know when to use repeated addition, skip counting, or known facts
  • You can explain why you chose a certain way to solve a problem
  • You feel more confident when solving multiplication problems

Why this matters

When you learn times tables by practising them in order (like 2 x 1, 2 x 2, 2 x 3), you might memorise them without really understanding how they work. But when you mix up the facts (like 2 x 3, 5 x 4, 2 x 7, 3 x 6), your brain has to think harder. This helps you learn better and remember longer. It's like learning to play a game where you must use different strategies for each level, not just one pattern.

How it works

Interleaving means mixing up your practice so that you don't do all the same times tables together. Instead, you practice 2 x 3, then 5 x 4, then 2 x 7, then 3 x 6, and so on. This might feel harder at first, but it helps your brain learn better. Step-by-step:
  1. Choose a few times tables to practice (like 2s, 3s, and 4s)
  2. Write out a mix of facts from these tables
  3. Try to solve each one using a strategy you know
  4. Check your answers and think about which method worked best
  5. Repeat with different mixtures of facts

Examples you can see

Let's imagine you're helping your friend pack up party bags. You have 3 bags and each bag needs 4 stickers. That's 3 x 4 = 12 stickers. Now, you also have 5 bags and each bag needs 2 stickers. That's 5 x 2 = 10 stickers. If you mix these problems together, you're interleaving. Here are some examples of interleaved facts:
Fact Solution Strategy
4 x 3 12 Repeated addition: 3 + 3 + 3 + 3 = 12
6 x 2 12 Counting by 2s: 2, 4, 6, 8, 10, 12
3 x 5 15 Repeated addition: 5 + 5 + 5 = 15
2 x 8 16 Counting by 2s: 2, 4, 6, 8, 10, 12, 14, 16
5 x 4 20 Repeated addition: 4 + 4 + 4 + 4 + 4 = 20

Try it as a mini adventure

Imagine you're a space explorer on a mission to collect alien coins from different planets. Each planet has a different number of coins in each pile. Your spaceship can only carry 3 bags, and each bag can hold 6 coins. That's 3 x 6 = 18 coins. But you also need to collect 4 bags of 5 coins from another planet. That's 4 x 5 = 20 coins. Now, you have to solve these problems in a mixed-up order. You're going to solve them one by one like this: 1st time: 3 x 6 = ? coins 2nd time: 4 x 5 = ? coins 3rd time: 6 x 2 = ? coins 4th time: 5 x 3 = ? coins 5th time: 2 x 7 = ? coins Can you solve them all?

Common mistakes

  • Mistake: Thinking you must solve all 2s tables first, then all 3s tables.
    Why it happens: This is how we usually practice at school, so it feels familiar.
    Fix: Try mixing up your practice with different facts from different tables.
  • Mistake: Guessing the answer without thinking.
    Why it happens: When you're not sure, it's easy to just pick a number.
    Fix: Use a strategy like counting by groups or drawing pictures.
  • Mistake: Feeling confused or frustrated because it's harder.
    Why it happens: Interleaving makes your brain work harder, which can feel uncomfortable.
    Fix: Remember that it's normal to feel a bit confused at first, but it helps you learn more.

Parent and carer guide

You can help your child by:
  • Creating mixed-up practice sheets with different times tables
  • Encouraging them to explain their thinking when solving a problem
  • Using real-life examples like shopping or cooking to show how multiplication works
  • Practising together, not just checking answers
  • Not worrying if they find it harder at first - this is normal!

Practice questions

  1. What is 3 x 7?
  2. What is 5 x 4?
  3. What is 6 x 3?
  4. What is 4 x 8?
  5. What is 2 x 9?
Answers:
  1. 21
  2. 20
  3. 18
  4. 32
  5. 18

FAQ

What does interleaving mean in maths?

Interleaving means mixing up different types of problems or facts when you're learning, instead of doing them all in order. This helps your brain learn better.

Why is interleaving better than doing the same facts over and over?

When you mix up your practice, your brain has to think more and choose the right strategy. This makes learning stronger and more lasting.

Can I use interleaving with all times tables?

Yes! You can mix up any times tables you're learning. For example, you can mix 2s, 3s, and 4s together.

How long should I practice with interleaving?

Start with short sessions, maybe 5-10 minutes. As you get better, you can do longer practice times.

Is interleaving only for maths?

No! Interleaving is a learning strategy that works in many areas, like reading, music, and sports.