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Advanced Filters: Multiples, Squares, and Digit Logic in Number Mazes

Create logic-driven number mazes using advanced filters — including multiples, squares, digit constraints, and more. This tutorial shows how to use each filter type to craft truly unique and brainy puzzles.

🧩 Overview

Filters allow you to define which numbers are allowed on the path of your maze — from even numbers to squares, or even those whose digits add up to a specific total. This makes your puzzles more thematic, targeted, or challenging.

🧰 Required Module

🔧 Preparation

Before starting:

  • Open the Number Mazes module in Puzzle Maker Pro.
  • Use Unordered mode for maximum flexibility.
  • Recommended range: Min = 10, Max = 99 (more options, better filtering).
  • Grid size: 7×7 or larger.

🪜 Step-by-Step Instructions

1. Access Filter Settings

  1. In the Puzzle Settings tab, scroll to the Filter Type dropdown.
  2. Select any of the advanced filter types listed below.
  3. Preview each maze to test your settings.

2. Use Multiples of a Number (e.g. Multiples of 3)

  1. Choose Multiples of X from the Filter Type dropdown.
  2. Set X to 3.
  3. Range example: Min = 10, Max = 90.

✅ Only numbers divisible by 3 will be used — great for reinforcing math skills or building tricky patterns.

3. Use Multiples of X or Y (e.g. 3 or 5)

  1. Select Multiples of X or Y.
  2. Set X = 3, Y = 5.

🔢 This gives you more flexibility and puzzle density — especially useful when a single rule results in too few numbers.

4. Create a Maze with Square Numbers

  1. Choose Perfect Squares as your filter.
  2. Range example: Min = 1, Max = 100.
  3. At the top of the filter area, you can see that this range and filter result in 6 different numbers (16, 25, 36, 49, 64, 81)

🟩 Path includes values like 16, 25, 36, 49 — perfect for math-themed puzzles or educational use.

5. Use “Contains Digit”

  1. Choose Contains Digit X and enter 7 to only allow numbers with a 7 (e.g., 17, 27, 70).
  2. Optionally you can use Contains X and Y

🧠 These filters are fantastic for themed puzzles (“Lucky 7 trail”).

6. Digit Sum Filters

  • Use: Digit Sum Equals X
  • Example: Set X = 9 → allows numbers like 18 (1+8), 36 (3+6), 45 (4+5)

🔍 This filter creates very constrained and brainy paths — best used with larger ranges (e.g., 10–100).

🚨 Important: Solvable Path Warning

Not every filter + range combination creates a usable maze.

  • At the top of the Filters area, you can see how many numbers in the give range will pass the filter
  • If too few numbers pass (only 0 or 1), the filter will not be applied.
  • ✅ Example: Ordered sequence starting at 1, with step 3, will result in 1, 4, 7, 10. A filter ‘multiple of 3’ will yield no numbers.

✅ Outcome

By using filters, you can:

  • Target specific math concepts (like multiples or squares)
  • Build logic-based puzzles for older or more advanced solvers
  • Theme your puzzles around digits or number properties

Filters = depth. Now you can make Number Mazes that teach as well as entertain.

📚 Further Reading

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