Where is arrays hiding in Topmarks Hit the Button square numbers?
Show square numbers as equal rows and columns.
Quick answer
Arrays are hiding in Topmarks Hit the Button square numbers games! When you see a square number like 9, 16, or 25, you can imagine it as equal rows and columns of objects, like 3 rows of 3 dots, or 4 rows of 4 dots.
Learning outcome
By the end of this page, you will be able to see square numbers as equal rows and columns of objects, and you will know how to build arrays for any square number from 1 to 144.
- You can make an array for 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, and 144.
- You can explain that 4 is 2 rows of 2 dots, and 9 is 3 rows of 3 dots.
- You can play Topmarks Hit the Button and see arrays in the square numbers game.
- You can build your own square arrays with blocks or drawings.
Why this matters
Arrays help you understand how numbers work, especially square numbers. When you see 16 dots arranged as 4 rows of 4 dots, you can see that 4 × 4 = 16. This helps you understand multiplication and patterns. In games like Topmarks Hit the Button, you can practice your square numbers and see how they look as arrays. This makes maths more visual and fun!
How it works
Let’s start with the basics:
- Think of a square number like 9.
- Ask: What number times itself gives 9?
- That number is 3, so 3 × 3 = 9.
- Now imagine 3 rows of 3 dots. That’s an array!
- Try this with other square numbers.
Examples you can see
Let’s look at square numbers and their arrays:
| Square Number | As Array (Rows × Columns) | Visual Example |
|---|---|---|
| 1 | 1 row of 1 | • |
| 4 | 2 rows of 2 | • • • • |
| 9 | 3 rows of 3 | • • • • • • • • • |
| 16 | 4 rows of 4 | • • • • • • • • • • • • • • • • |
| 25 | 5 rows of 5 | • • • • • • • • • • • • • • • • • • • • • • • • • |
| 36 | 6 rows of 6 | • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • |
| 49 | 7 rows of 7 | • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • |
| 64 | 8 rows of 8 | • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • |
| 81 | 9 rows of 9 | • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • |
| 100 | 10 rows of 10 | • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • |
| 121 | 11 rows of 11 | • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • |
| 144 | 12 rows of 12 | • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • |
Try it as a mini adventure
Imagine you are a detective in a maths mystery! You are looking for square numbers in the Topmarks Hit the Button game. Your mission is to find the square numbers and see how they look as arrays.
- Play the square numbers game on Topmarks Hit the Button.
- When you see 9, pause and imagine 3 rows of 3 dots.
- When you see 16, pause and imagine 4 rows of 4 dots.
- Try to draw or build the array for each square number you see.
- Can you make arrays for 25, 36, 49, 64, 81, 100, 121, and 144?
Common mistakes
- Mistake: Thinking that 10 is a square number.
Why it happens: Children might confuse square numbers with numbers that end in 0.
Fix: Remember that a square number is a number that can be made by multiplying a number by itself. 10 = 2 × 5, so it’s not a square number. Try 9 = 3 × 3. - Mistake: Drawing 4 rows of 3 dots when seeing 12.
Why it happens: Mixing up what makes a square number.
Fix: Remember that square numbers are rows × rows. So 16 = 4 × 4, not 4 × 3. - Mistake: Forgetting that 1 is a square number.
Why it happens: It's easy to think 1 is not special.
Fix: 1 = 1 × 1, so it is a square number.
Parent and carer guide
As a parent or carer, you can help your child see arrays in square numbers by:
- Playing Topmarks Hit the Button with them and asking them to pause and draw the array for each square number.
- Using small objects like buttons or blocks to make arrays.
- Asking questions like: “How many rows are there? How many dots in each row?”
- Encouraging them to find real-life examples of arrays, like a box of eggs (3 rows of 3) or a pizza cut into slices (4 rows of 4).
- Not worrying if they make mistakes – they’re learning!
Practice questions
- What is the array for 25?
Answer: 5 rows of 5 - How many dots are in 4 rows of 4?
Answer: 16 - What number times itself gives 64?
Answer: 8 - Can you draw an array for 100?
Answer: 10 rows of 10 - Is 144 a square number? Why or why not?
Answer: Yes, because 12 × 12 = 144
FAQ
What is a square number?
A square number is a number that can be made by multiplying a number by itself. For example, 4 is a square number because 2 × 2 = 4.
How do arrays help with square numbers?
Arrays help you see how square numbers are made. For example, 9 is 3 rows of 3 dots. This makes it easier to understand multiplication and patterns.
What is the biggest square number in Topmarks Hit the Button?
The biggest square number in Topmarks Hit the Button is 144, which is 12 × 12.
Can I use arrays for any number?
No, arrays are special for square numbers. For example, 12 is not a square number, so you can’t make a square array for it.
Why do we learn square numbers?
Square numbers help with multiplication, geometry, and patterns. They are also useful in games and puzzles!