X Tables
Times Table Methods

Multiplication as equal groups

Show multiplication as groups of equal size before moving to symbols and memorisation.

Quick answer

Multiplication as equal groups means thinking of multiplication as having the same number of items in each group. For example, 3 groups of 4 apples means 3 × 4 = 12 apples in total.

Learning outcome

By the end of this page, you will understand how to think of multiplication as equal groups, and you will be able to solve simple multiplication problems by counting equal groups of objects. Success signs:
  • You can make equal groups of objects and count them
  • You can match a picture or story to a multiplication problem
  • You can explain how 3 × 4 is the same as 3 groups of 4 items
  • You can solve multiplication problems using equal groups

Why this matters

Multiplication as equal groups helps you understand what multiplication really means, not just memorise facts. This idea is important because it:
  • Makes multiplication easier to understand
  • Helps you solve word problems
  • Prepares you for more advanced maths like arrays and area
  • Makes learning times tables more fun and meaningful
Whether you're sharing cookies with friends, arranging books on shelves, or counting football team members, thinking in equal groups helps you solve multiplication problems quickly and easily.

How it works

Multiplication as equal groups works by:
  1. Identifying how many groups there are
  2. Identifying how many items are in each group
  3. Multiplying these two numbers together
For example, if you have 5 boxes and each box has 3 toys inside, you can think of this as 5 groups of 3 toys. So 5 × 3 = 15 toys in total.

Examples you can see

Let’s look at some real examples to understand multiplication as equal groups: Example 1: Fruits in a basket Imagine you have 4 baskets, and each basket has 6 apples. How many apples are there in total?
  • There are 4 groups
  • Each group has 6 apples
  • So 4 × 6 = 24 apples
Example 2: Biscuits on plates You have 3 plates, and each plate has 5 biscuits. How many biscuits are there altogether?
  • There are 3 groups
  • Each group has 5 biscuits
  • So 3 × 5 = 15 biscuits
Example 3: Animals in cages There are 6 cages, and each cage has 2 rabbits. How many rabbits are there in total?
  • There are 6 groups
  • Each group has 2 rabbits
  • So 6 × 2 = 12 rabbits
These examples show how multiplication helps us count quickly when we have equal groups.

Try it as a mini adventure

The Great Cookie Collection You are going on a cookie hunt in your kitchen. You find 3 cookie jars. Each jar has 7 cookies inside. You want to know how many cookies you found in total. Step 1: Count the jars – there are 3 jars. Step 2: Count the cookies in each jar – there are 7 cookies in each jar. Step 3: Add the cookies together – 7 + 7 + 7 = 21 cookies. Step 4: This is the same as 3 × 7 = 21 cookies. Now you can solve this multiplication problem by thinking of it as 3 groups of 7 cookies. Mini challenge: Try this with your own collection. How many groups do you have? How many items are in each group? What is the total?

Common mistakes

  • Mistake: Thinking 3 × 4 = 3 + 4 = 7 Why it happens: Mixing up multiplication and addition Fix: Remember that multiplication means equal groups. 3 × 4 = 3 groups of 4 = 4 + 4 + 4 = 12
  • Mistake: Counting the groups instead of the items inside Why it happens: Not understanding what each group has Fix: Count the items in each group, then count how many groups there are
  • Mistake: Using the wrong numbers in the problem Why it happens: Reading the problem too quickly Fix: Read the problem slowly and underline the number of groups and items per group

Parent and carer guide

Parents and carers can help by:
  • Using everyday items like toys, fruits, or buttons to make equal groups
  • Asking questions like “How many groups do you see?” and “How many items are in each group?”
  • Practising with visual aids like drawings or real objects
  • Encouraging children to explain their thinking
  • Reinforcing that multiplication is about equal groups, not just memorising facts
It’s important to be patient and let children explore different ways to think about multiplication. Don’t rush to the written method until they understand the idea of equal groups.

Practice questions

  1. There are 4 boxes, and each box has 5 pencils. How many pencils are there in total?
  2. Tommy has 3 toy cars, and each car has 4 wheels. How many wheels are there in total?
  3. There are 6 bags, and each bag has 3 stickers. How many stickers are there in total?
  4. Emma has 2 baskets, and each basket has 8 oranges. How many oranges are there in total?
  5. There are 5 plates, and each plate has 4 cupcakes. How many cupcakes are there in total?
Answers:
  1. 4 × 5 = 20 pencils
  2. 3 × 4 = 12 wheels
  3. 6 × 3 = 18 stickers
  4. 2 × 8 = 16 oranges
  5. 5 × 4 = 20 cupcakes

FAQ

What is multiplication as equal groups?

Multiplication as equal groups means thinking of multiplication as having the same number of items in each group. For example, 3 × 4 means 3 groups of 4 items.

Why do we learn multiplication as equal groups?

Learning multiplication as equal groups helps us understand what multiplication really means, not just memorise facts. This makes it easier to solve problems and learn times tables later.

How can I practice this at home?

You can use objects like buttons, toys, or snacks to make equal groups. Ask questions like, “How many groups do you have?” and “How many items are in each group?”

Can multiplication be done with any number?

Yes! Multiplication can be done with any numbers, but we often start with small numbers like 1 to 10 to understand the idea of equal groups.

What comes after learning multiplication as equal groups?

After understanding equal groups, children often move to arrays, repeated addition, and then memorising times tables. But always start with groups to build a strong foundation.

Multiplication as Equal Groups: 0 to 12 Times Table

Multiplication as Equal Groups: 0 to 12 Times Table
Number of Groups Items per Group Answer
0 1 0
0 2 0
0 3 0
0 4 0
0 5 0
0 6 0
0 7 0
0 8 0
0 9 0
0 10 0
0 11 0
0 12 0
1 1 1
1 2 2
1 3 3
1 4 4
1 5 5
1 6 6
1 7 7
1 8 8
1 9 9
1 10 10
1 11 11
1 12 12
2 1 2
2 2 4
2 3 6
2 4 8
2 5 10
2 6 12
2 7 14
2 8 16
2 9 18
2 10 20
2 11 22
2 12 24
3 1 3
3 2 6
3 3 9
3 4 12
3 5 15
3 6 18
3 7 21
3 8 24
3 9 27
3 10 30
3 11 33
3 12 36
4 1 4
4 2 8
4 3 12
4 4 16
4 5 20
4 6 24
4 7 28
4 8 32
4 9 36
4 10 40
4 11 44
4 12 48
5 1 5
5 2 10
5 3 15
5 4 20
5 5 25
5 6 30
5 7 35
5 8 40
5 9 45
5 10 50
5 11 55
5 12 60
6 1 6
6 2 12
6 3 18
6 4 24
6 5 30
6 6 36
6 7 42
6 8 48
6 9 54
6 10 60
6 11 66
6 12 72
7 1 7
7 2 14
7 3 21
7 4 28
7 5 35
7 6 42
7 7 49
7 8 56
7 9 63
7 10 70
7 11 77
7 12 84
8 1 8
8 2 16
8 3 24
8 4 32
8 5 40
8 6 48
8 7 56
8 8 64
8 9 72
8 10 80
8 11 88
8 12 96
9 1 9
9 2 18
9 3 27
9 4 36
9 5 45
9 6 54
9 7 63
9 8 72
9 9 81
9 10 90
9 11 99
9 12 108
10 1 10
10 2 20
10 3 30
10 4 40
10 5 50
10 6 60
10 7 70
10 8 80
10 9 90
10 10 100
10 11 110
10 12 120
11 1 11
11 2 22
11 3 33
11 4 44
11 5 55
11 6 66
11 7 77
11 8 88
11 9 99
11 10 110
11 11 121
11 12 132
12 1 12
12 2 24
12 3 36
12 4 48
12 5 60
12 6 72
12 7 84
12 8 96
12 9 108
12 10 120
12 11 132
12 12 144