MathsFreePrintable

Number Patterns Investigation

A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.

Number Patterns Investigation worksheet preview

Number Patterns Investigation

Number patterns and sequences illustration

🔍 Part 1: Pattern Recognition

1. Look at this number pattern: 3, 6, 9, 12, 15, _____, _____

What is the pattern rule? The pattern ________________ by _____ each time.

2. Complete this pattern: 25, 20, 15, 10, _____, _____

Describe the rule: _________________________________________________

3. Which pattern follows the rule "add 4 each time"?

2, 4, 6, 8, 10

1, 5, 9, 13, 17

4, 8, 12, 16, 20

4. What comes next in this pattern: 50, 45, 40, 35, _____?

25

30

40

✏️ Part 2: Create Your Own Patterns

5. Create a number pattern using addition. Start with 7 and add the same number each time.

My pattern: 7, _____, _____, _____, _____, _____

My rule: Add _____ each time

6. Create a number pattern using subtraction. Start with 30.

My pattern: 30, _____, _____, _____, _____, _____

My rule: _________________________________________________

7. Explain how you know your pattern in question 6 is correct:

🧠 Part 3: Pattern Investigation

8. Look at this pattern: 2, 5, 8, 11, 14

a) What is the rule? _________________________________________________

b) What would be the 7th number in this pattern? Show your working:

9. Challenge: Create a pattern that uses both addition and subtraction.

Example: Start with 10, add 3, then subtract 1, then add 3, then subtract 1...

My pattern: _____, _____, _____, _____, _____, _____

My rule: _________________________________________________

10. Reflect: Why are number patterns useful in mathematics?

About This Worksheet

Free in Kuraplan

Sign up free, grab the PDF, and customize it for your class.

Print-Ready

Formatted for standard paper. Clean layout, easy to read.

AI-Generated

Created with Kuraplan's AI, designed for real classroom use.

For Teachers & Parents

Use in classrooms, for homework, tutoring, or homeschool.

Need a custom version of this worksheet?

Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.

Generate Custom Worksheets — Free
No credit card Curriculum-aligned Under 60 seconds