Number Puzzles for Students

Pattern Petals is one of our free reasoning games for students who want more than repetitive math facts — it's about spotting the rule connecting two numbers to a result, then applying that same rule to solve a new pair.

Each puzzle shows a few worked rows so you can study the pattern, then one row is left for you to solve. It's a free online arithmetic puzzle with 100 levels, starting with simple addition and building up to rules that combine multiple operations.

What reasoning skill does this build?

This isn't the same skill as memorizing a times table. Working out the rule from a few examples and applying it to a new case is a form of inductive reasoning — the same kind of thinking used in early algebra, pattern-based logic questions, and many standardized test sections. Specifically, students practice:

• Spotting a pattern from a small number of worked examples, rather than being told the rule directly
• Testing a hypothesis — checking whether a guessed rule actually holds across every example before trusting it
• Working with an unknown — treating the missing value as something to be solved for, an early step toward algebraic thinking
• Applying a general rule to a new specific case, instead of solving each problem from scratch

Later levels hide trickier rules — where the position of the row matters too, not just the two numbers themselves.

Frequently Asked Questions