🔢 Number Patterns

Discover the amazing patterns hiding in numbers!

📖 Learn
Odd, even, sequences

✏️ Examples
Worked problems

🔬 Visualiser
Sequence on number grid

🎯 Practice
20 mixed questions

📖 Number Patterns

1. Odd and Even Numbers

Even numbers end in 0, 2, 4, 6 or 8. They can be shared equally into 2 groups.

Odd numbers end in 1, 3, 5, 7 or 9. They cannot be shared equally into 2 groups.

Even: 2, 4, 6, 8, 10, 12... | Odd: 1, 3, 5, 7, 9, 11...

2. Counting in Steps

Count in 2s: 2, 4, 6, 8, 10...

Count in 3s: 3, 6, 9, 12, 15...

Count in 4s: 4, 8, 12, 16, 20...

Count in 5s: 5, 10, 15, 20, 25...

Count in 10s: 10, 20, 30, 40...

Count in 100s: 100, 200, 300...

3. Finding the Rule

To find the rule of a sequence: look at the difference between terms.

Example: 5, 8, 11, 14... Difference = +3. Rule: add 3 each time.

Example: 20, 16, 12, 8... Difference = −4. Rule: subtract 4 each time.

4. Square Numbers

A square number is made by multiplying a number by itself.

1, 4, 9, 16, 25, 36, 49, 64, 81, 100

1×1=1, 2×2=4, 3×3=9, 4×4=16, 5×5=25...

5. Number Machines

A number machine applies a rule to each input.

Input → [×3] → Output

2 → [×3] → 6 | 5 → [×3] → 15

✏️ Worked Examples

Example 1 – Next Term in a Sequence

Sequence: 4, 8, 12. What comes next?

Rule: add 4 each time

12 + 4 = 16

Example 2 – Odd or Even?

Is 37 odd or even?

It ends in 7

7 is odd → 37 is odd

Example 3 – Square Numbers

What is the 5th square number?

5 × 5

= 25

Example 4 – Number Machine (×3)

Input = 4. Machine rule: ×3. Output = ?

4 × 3 = 12

Example 5 – Missing Term

Sequence: 4, 8, __, 16. Find the missing term.

Rule: add 4 each time

8 + 4 = 12

🔬 Sequence Generator

Build a Sequence

Start:

Step (+/-):

1–100 Number Grid (highlighted = your sequence)

Exercise 1 – Next Term

Find the next term in each sequence.

Exercise 2 – Odd or Even?

Enter 1 for ODD or 0 for EVEN.

Exercise 3 – Square Numbers

Work out each square number (n × n).

Exercise 4 – Number Machine (rule: ×3)

Apply the rule ×3 to find each output.

Exercise 5 – Missing Terms (count in 4s)

Fill in the missing term from each sequence (counting in 4s).