MathsFreePrintable

Pattern Rules and Equations

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.

Pattern Rules and Equations worksheet preview

Instructions: For each pattern below, complete the following tasks:

• Write down the next three numbers in the pattern
• Create a table or diagram to show how the pattern grows
• Write an equation using variables that describes the pattern's rule
• Use mathematical vocabulary to explain your thinking

1. Pattern: 3, 7, 11, 15, ...
2. Pattern: 10, 6, 2, -2, ...
3. Pattern: 5, 10, 15, 20, ...
4. Pattern: 100, 90, 80, 70, ...
5. Which of these patterns shows a constant increase?

A) 2, 4, 8, 16, ...

B) 1, 4, 7, 10, ...

C) 3, 6, 12, 15, ...

D) 5, 10, 20, 40, ...

6. What is the constant change in the pattern 12, 8, 4, 0, ...?

A) +4

B) -4

C) +8

D) -8

7. Explain in your own words what "constant change" means in a linear pattern.
8. Create your own linear pattern with a constant increase of +6. Write the first five terms and the equation for your pattern.

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