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Square Numbers

A square number is what you get when dots can line up in a perfect square — the same number of rows as columns.

3 rows × 3 columns = 9 dots. So 9 is a square number!

Tap Next to start building squares yourself. 👉

Build the square 🧱

Tap the empty boxes to fill them in. Try to fill the whole grid and count how many dots make a square.

Dots filled: 0 / 16

A 4 by 4 square is made of 16 dots. 4 rows of 4! ✨

What does “squared” mean? 🤔

“Squared” just means a number times itself.

5 × 5 = 25

We say: 5 squared is 25

And we write it with a tiny floating 2:

5² = 25

The little ² means “use this number two times in a multiply.” It does not mean 5 × 2!

Tap each card to reveal the answer 👇

🔢
?
2×2
🔢
?
3×3
🔢
?
6×6

Slide to grow a square 🌱

Move the slider to choose how many dots are on each side. Watch the square grow and see its square number.

1 × 1 = 1

Side length: 1  •  drag me!

The square number family 👨‍👩‍👧‍👦

Here are the first square numbers. Notice they get further and further apart!

1   4   9   16   25   36   49

1²   2²   3²   4²   5²   6²   7²

🔍 A cool pattern: the gaps go 3, 5, 7, 9… (odd numbers!)

1 +3→ 4 +5→ 9 +7→ 16 +9→ 25

Spot the square number 🕵️

One of these numbers is a perfect square (it makes a neat square of dots). Which one? Tap to try — you can try again!

Which number is a square number?

What is 4 squared? 💪

Remember: 4 squared means 4 × 4. Picture a 4-by-4 square of dots. Tap your answer.

🎉

You’re a square-number star!

What you learned:

🟪 A square number makes a perfect square of dots — same rows as columns.

✖️ “Squared” means a number times itself: 5 squared = 5 × 5 = 25.

✏️ We write it with a little ²: that means use the number two times.

👨‍👩‍👧 The family starts 1, 4, 9, 16, 25, 36, 49… and the gaps grow by odd numbers.

Next time you see a tiny ², you’ll know exactly what to do. Well done! 🌟