MathsFreePrintable

Algebra Pattern Adventures

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.

Algebra Pattern Adventures worksheet preview
Name:Date:

Algebra Pattern Adventures

Help the maths explorers crack number and shape patterns. Read each rule carefully, show your thinking, and remember: both sides of an equals sign must have the same value.

Spot the pattern

At the Ōamaru harbour, a team is packing shells into display trays. Each tray follows a pattern.

1.The trays contain 2, 4, 6 shells. If the pattern continues by the same rule, how many shells will tray 4 contain?
2.A different pattern starts at 5 and adds 3 each time. Write the next three terms after 5, 8, 11.
3.A pattern is 30, 25, 20, 15, ___. Which rule and next term are correct?
  • Add 5; next term is 20
  • Subtract 5; next term is 10
  • Subtract 10; next term is 5
  • Subtract 5; next term is 0

Make both sides balance

The equals sign means “has the same value as”. A true equation is like a balanced set of scales.

4.Fill the box so the equation is true: 7 + □ = 4 + 6
5.Which statement is true?
  • 8 + 2 = 9 + 2
  • 6 + 4 = 5 + 5
  • 7 + 3 = 12
  • 9 = 4 + 4
6.True or false? 12 = 8 + 4. Explain how you know.
7.Write a number sentence with a missing number that makes this true: □ + 5 = 13. Then check it by putting your number back in.

Build a pattern code

A pattern rule is a little code that tells how to find each new term.

8.A robot makes a number pattern by starting at 4 and adding 4 each time. Complete the first five terms.
9.The first four terms are 3, 6, 9, 12. What is the rule? What is the 6th term?
10.Mere has 2 stickers on day 1 and gets 2 more each day. How many stickers will she have on day 5? Show the pattern or explain your thinking.
11.Create your own growing number pattern with at least five terms. Write its rule and circle the term that comes third.
12.Challenge: A pattern starts at 2 and adds 3 each time. What is its 7th term? Show enough steps to make your answer clear.

3 printable pages

  • Algebra Pattern Adventures, page 1 of 3: Spot the pattern, Make both sides balance

    Page 1

  • Algebra Pattern Adventures, page 2 of 3: Build a pattern code

    Page 2

  • Algebra Pattern Adventures, page 3 of 3: 12. Challenge: A pattern starts at 2 and adds 3 each time. What is its 7th term? Show…

    Page 3

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