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Hidden Multiplication

Multiplication hiding in ice cube trays

Count rows and columns before the cubes freeze.

Quick answer

Multiplication hiding in ice cube trays is a fun way to learn how rows and columns work. When you fill an ice cube tray with water, you can count how many cubes are in each row and how many rows there are. This helps you understand that 3 rows of 4 cubes make 12 cubes in total – that’s 3 × 4 = 12!

Learning outcome

By the end of this page, you will understand how to use ice cube trays to show multiplication as rows and columns, and you will be able to count how many cubes there are in total by multiplying the number of rows by the number of columns. Success signs:
  • You can count the rows and columns in an ice cube tray.
  • You can write a multiplication sentence like 4 × 3 = 12.
  • You can make your own ice cube tray multiplication problems.
  • You can explain how multiplication helps you count things quickly.

Why this matters

Multiplication is like a shortcut for adding the same number many times. Ice cube trays help you see this clearly. When you have 3 rows of 4 cubes, that’s the same as 4 + 4 + 4 = 12. But multiplication lets you say 3 × 4 = 12. This idea helps you in school, when you share snacks, count toys, or even play games. It's also useful for real-life situations like packing a lunch box or arranging chairs for a party.

How it works

Multiplication hiding in ice cube trays works by filling the tray with water and counting how many cubes are in each row and how many rows there are. Then you multiply these two numbers to find the total number of cubes. Step-by-step:
  1. Look at an ice cube tray and count how many cubes are in one row.
  2. Count how many rows there are in the tray.
  3. Multiply the number of cubes in one row by the number of rows.
  4. You now know the total number of cubes in the tray.

Examples you can see

Let’s imagine you have a standard ice cube tray. It usually has 4 rows and 4 columns.
  • There are 4 cubes in each row.
  • There are 4 rows.
  • So, 4 × 4 = 16 cubes in total.
Another example: If you have a tray with 3 rows and 5 columns:
  • There are 5 cubes in each row.
  • There are 3 rows.
  • So, 3 × 5 = 15 cubes in total.
You can also use ice cube trays to make multiplication problems. Try this:
  • Fill a tray with 2 rows and 6 columns.
  • How many cubes do you have? 2 × 6 = 12 cubes.

Try it as a mini adventure

Adventure: The Ice Cube Challenge You are a scientist in a kitchen lab! You need to count how many ice cubes you will make for a big party. You have different ice cube trays.
  1. First tray: 3 rows and 4 columns. How many cubes? 3 × 4 = 12 cubes.
  2. Second tray: 5 rows and 2 columns. How many cubes? 5 × 2 = 10 cubes.
  3. Third tray: 4 rows and 3 columns. How many cubes? 4 × 3 = 12 cubes.
  4. How many cubes in total? 12 + 10 + 12 = 34 cubes.
Now, try this with your own tray. Fill it with water, freeze it, and count the cubes!

Common mistakes

  • Mistake: Counting the cubes in each row and forgetting to multiply by the number of rows.
  • Why it happens: It's easy to get distracted by counting one row and forget the rest.
  • Fix: Always double-check that you know how many rows there are and how many cubes are in each row.
  • Mistake: Mixing up rows and columns when counting.
  • Why it happens: Rows go side to side, and columns go up and down. It’s easy to get confused.
  • Fix: Draw a picture or use your fingers to show rows and columns clearly.
  • Mistake: Thinking that 3 × 4 = 7 instead of 12.
  • Why it happens: When you're just starting out, it's easy to add the numbers instead of multiplying them.
  • Fix: Use your fingers or draw groups to show what 3 × 4 really means: 3 groups of 4 cubes each.

Parent and carer guide

You can help your child by:
  • Using ice cube trays to play multiplication games at home.
  • Letting them fill trays and count cubes to practice multiplication.
  • Asking questions like: “How many rows do you see?” or “How many cubes in each row?”
  • Encouraging them to write out the multiplication sentence after counting.
  • Reinforcing that multiplication is a faster way to add the same number over and over.
It’s okay if they make mistakes. They’re learning! If they say 3 × 4 = 7, help them by showing 3 groups of 4 cubes and counting together. This makes the learning concrete and fun.

Practice questions

  1. How many cubes are in a tray with 2 rows and 5 columns?
  2. What is 4 × 3?
  3. If you have 3 rows and 4 columns, how many cubes are there?
  4. What is 5 × 2?
  5. How many cubes are in a tray with 6 rows and 2 columns?
Answers:
  1. 10 cubes
  2. 12
  3. 12 cubes
  4. 10
  5. 12 cubes

FAQ

What is multiplication?

Multiplication is a way to add the same number many times quickly. For example, 3 + 3 + 3 = 9, and 3 × 3 = 9. It's like counting groups of the same size.

How can I use ice cube trays to learn multiplication?

You can fill an ice cube tray with water, count how many cubes are in each row, count how many rows there are, and then multiply them to find the total number of cubes.

Why is it helpful to see multiplication in ice cube trays?

It helps you see multiplication as rows and columns. This makes it easier to understand how groups of things work and how to count them quickly.

Can I use other trays for multiplication?

Yes! You can use any tray with rows and columns, like a cookie tray or a grid of tiles. The idea is the same: count rows and columns, then multiply.

What if I don’t have ice cube trays?

You can still practice by drawing trays, using blocks, or arranging coins in rows and columns. The idea is the same – rows and columns make multiplication easier to see.

Full multiplication table for 12

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