Square Numbers Game
Recall the square numbers from 1² = 1 to 12² = 144. They come up again in area, powers and algebra.
Type answers on your keyboard, or tap the number pad.
Time 60Correct 0
Practise these again:
How to play
- Choose the 60-second challenge or untimed practice, then press Start.
- Type each answer on your keyboard or tap the number pad. It’s checked as soon as you’ve typed enough digits, or press ✓.
- Get one wrong and you’ll see the right answer, and the question comes back a little later.
- At the end, check your score and the facts to practise again.
What it practises
- Recalling square numbers to 12²
- Understanding powers (x²)
- Multiplying a number by itself
Level: Grades 5–6 (ages 10–12)
Tips for square numbers
A square number is a number multiplied by itself: 7² means 7 × 7 = 49.
The gaps between square numbers grow by 2 each time: 1, 4, 9, 16, 25 (gaps of 3, 5, 7, 9).
| 1² | 1 |
|---|---|
| 2² | 4 |
| 3² | 9 |
| 4² | 16 |
| 5² | 25 |
| 6² | 36 |
| 7² | 49 |
| 8² | 64 |
| 9² | 81 |
| 10² | 100 |
| 11² | 121 |
| 12² | 144 |
Questions and answers
What are the square numbers from 1 to 12?
The square numbers from 1² to 12² are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144.
What is a square number?
A square number is what you get when you multiply a whole number by itself. For example, 5 × 5 = 25. You can arrange that many dots into a perfect square.
Why learn square numbers by heart?
They’re used in area (a 6 cm square has an area of 36 cm²), in powers and square roots, and later in Pythagoras’ theorem and algebra.