X Tables
Hidden Multiplication

Paintbrush Sets times-table story

A playful story page showing how paintbrush sets can teach multiplication in real life.

Quick answer

Multiplication can be found everywhere in everyday life, even in paintbrush sets! When you have several paintbrushes in each set, you can use multiplication to quickly work out how many paintbrushes you have in total.

Learning outcome

By the end of this page, you will be able to use multiplication to find out how many items there are in several equal groups, like paintbrush sets. Success signs:
  • You can count equal groups and write the multiplication number sentence
  • You can solve problems like: “If there are 5 sets with 3 paintbrushes in each, how many paintbrushes are there altogether?”
  • You can use arrays or drawings to show your thinking
  • You can explain how multiplication helps you count faster

Why this matters

Multiplication helps you count things quickly when you have several equal groups. It’s like a shortcut that saves time. You use it when you’re shopping, playing games, or even when you’re painting! Understanding multiplication helps you do more complex maths later, like division and fractions.

How it works

Multiplication is about equal groups. When you have the same number of items in each group, you can multiply to find the total. For example:
  • If you have 3 sets of 4 paintbrushes, you can write it as 3 × 4 = 12
  • If you have 5 sets of 2 paintbrushes, you can write it as 5 × 2 = 10
This is like saying:
  • 3 groups of 4 paintbrushes = 12 paintbrushes
  • 5 groups of 2 paintbrushes = 10 paintbrushes

Examples you can see

Let’s imagine you are at an art shop and you see paintbrush sets. Here are some examples:
Number of sets Paintbrushes in each set Total paintbrushes Multiplication sentence
1 3 3 1 × 3 = 3
2 3 6 2 × 3 = 6
3 3 9 3 × 3 = 9
4 3 12 4 × 3 = 12
5 3 15 5 × 3 = 15
You can also draw this to help you understand:
  • Draw 3 circles for each set
  • Draw 3 paintbrushes in each circle
  • Count all the paintbrushes
This shows that 5 sets of 3 paintbrushes = 15 paintbrushes.

Try it as a mini adventure

Adventure: The Paintbrush Shop Challenge You are at a paintbrush shop. The shop has 6 sets of paintbrushes. Each set has 4 paintbrushes. You need to find out how many paintbrushes are in all the sets.
  1. First, you count the sets: 1, 2, 3, 4, 5, 6
  2. Then, you count the paintbrushes in each set: 1, 2, 3, 4
  3. Now, you can multiply: 6 × 4 = 24
  4. So, there are 24 paintbrushes in total!
You can also draw it:
  • Draw 6 rows
  • In each row, draw 4 paintbrushes
  • Count all the paintbrushes

Common mistakes

  • Mistake: Thinking 4 × 3 = 12, but writing 3 × 4 = 12 incorrectly
    Why it happens: Confusing the order of numbers in multiplication
    Fix: Remember that 4 × 3 means 4 groups of 3, and 3 × 4 means 3 groups of 4. Both equal 12, but the meaning is different.
  • Mistake: Counting one set of paintbrushes and then adding it again
    Why it happens: Not understanding that multiplication is repeated addition
    Fix: Use arrays or drawings to show equal groups clearly
  • Mistake: Forgetting that 0 × any number = 0
    Why it happens: Not knowing what happens when there are no groups
    Fix: Think of it like having 0 sets of paintbrushes = 0 paintbrushes

Parent and carer guide

Parents and carers can help by:
  • Looking for multiplication in daily life – like 3 packs of 4 stickers or 2 trays with 6 cookies
  • Using drawings or real paintbrushes to show equal groups
  • Practising skip counting in groups (like 3, 6, 9, 12 for 3s)
  • Encouraging children to explain how they found the answer
  • Not worrying if they make mistakes – it’s part of learning!

Practice questions

  1. There are 3 sets of 5 paintbrushes. How many paintbrushes are there altogether?
  2. There are 4 sets of 2 paintbrushes. How many paintbrushes are there altogether?
  3. There are 5 sets of 4 paintbrushes. How many paintbrushes are there altogether?
  4. There are 2 sets of 6 paintbrushes. How many paintbrushes are there altogether?
  5. There are 6 sets of 3 paintbrushes. How many paintbrushes are there altogether?
Answers:
  1. 3 × 5 = 15
  2. 4 × 2 = 8
  3. 5 × 4 = 20
  4. 2 × 6 = 12
  5. 6 × 3 = 18

FAQ

What is multiplication?

Multiplication is a way to add equal groups quickly. For example, if you have 3 groups of 4 items, you can multiply 3 × 4 = 12.

How can I use multiplication in real life?

You can use multiplication when you have equal groups, like 5 boxes with 3 apples in each box. You can multiply 5 × 3 = 15 to find the total apples.

Why do we learn multiplication?

Multiplication helps us count faster and solve problems more easily. It’s useful in school, at home, and in many jobs.

What if I forget a multiplication fact?

You can use repeated addition or draw arrays to help you. For example, 4 × 3 = 3 + 3 + 3 + 3 = 12.

How can I practice multiplication?

You can practice by solving problems, using flashcards, playing games, or finding equal groups in your daily life.

Paintbrush Sets Times-table Story

Let’s look at the full 3 times table using paintbrush sets:

Number of sets Paintbrushes in each set Total paintbrushes Multiplication sentence
0 3 0 0 × 3 = 0
1 3 3 1 × 3 = 3
2 3 6 2 × 3 = 6
3 3 9 3 × 3 = 9
4 3 12 4 × 3 = 12
5 3 15 5 × 3 = 15
6 3 18 6 × 3 = 18
7 3 21 7 × 3 = 21
8 3 24 8 × 3 = 24
9 3 27 9 × 3 = 27
10 3 30 10 × 3 = 30
11 3 33 11 × 3 = 33
12 3 36 12 × 3 = 36

Notice how the pattern goes up by 3 each time. This is called skip counting by 3s.

Try this fun chant:

“3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36”

Each number is 3 more than the last!

You can also play a game with your family:

  • One person says a number of sets
  • Another person says how many paintbrushes are in each set
  • Then you multiply them together

For example:

  • Person A says: “How many paintbrushes in 4 sets of 3?”
  • Person B says: “4 × 3 = 12”

Keep playing until you know your 3 times table well!