Math Mazes: How They Work and How to Solve Them

By Kids Learning editorial team · Updated October 26, 2026

A math maze hides its walls inside arithmetic. You enter at START, leave at FINISH and may step only on cells that follow the rule at the top of the page. To see which cells are safe, you have to do the math.

This guide covers the rules, a worked example, the strategy that works and how the difficulty rises from Easy to Hard.

The rules

1. Find START on the left and FINISH on the right.
2. Read the rule at the top of the page. Only cells that follow it are safe.
3. Move up, down, left or right to a touching cell. No diagonal moves.
4. Do not use any cell twice.
5. Some cells show a calculation. Work it out first.
6. There is exactly one way through. Dead ends are traps, so back up and try another turn.

A worked example

Rule: step only on multiples of 5. You enter at the top-left cell and leave from the bottom-right cell.

This is a made-up grid in the style of an Easy maze, not a page from the book.

1. Start at 10. It is a multiple of 5, so it is safe. Its right neighbor is 8 (not safe), so go down to 15 (safe).
2. From 15, the cell to the right is 30 (safe). The cell below is 9 (not safe), so go right.
3. From 30, you can go right to 45 (safe) or down to 25 (safe). Both pass the rule, so this is a fork.
4. Try 25 first. Its neighbors are 9 and 14, and neither is a multiple of 5. Dead end: back up to 30.
5. Go to 45, then right to 40 (safe).
6. From 40 you can go up to 35 (safe) or down to 50 (safe). 35 has only 18 beside it, which is unsafe, so it is another dead end. Take 50.

The route is 10 → 15 → 30 → 45 → 40 → 50. Two forks ended in dead ends, and finding those is how you learn which turn is right.

The lesson is the method: at each cell, list the neighbors, test each against the rule and follow the ones that pass. Dead ends are not failures; they are how you rule out a route.

Strategy that works

1. Mark the unsafe cells first. Lightly cross out every cell that breaks the rule. The path often appears on its own.
2. Work from both ends. Look at the cells next to FINISH and trace back.
3. Evaluate calculations once. Write the result next to the cell so you do not redo it.
4. Use a pencil. Trace the path lightly and erase when you hit a dead end.
5. Check the whole route against the rule before you celebrate.

How difficulty rises

At Medium the order of operations starts to matter. A cell like 2 + 5 × 2 equals 12 if you multiply first, so it is safe; add first and you would get 14 and miss it. At Hard the rule is a sequence, so each step depends on the one before. For more on this, see the order of operations game.

What a math maze practices

• Multiples and skip counting.
• Mental arithmetic, since many cells need quick calculation.
• Order of operations at the higher levels.
• Number patterns, in the sequence mazes.
• Logical reasoning, since you rule out routes.

The Math Mazes book in PuzzlePath Math Puzzle Pack

Math Mazes is one of seven games in the pack. The book has 50 puzzles: 1–15 Easy, 16–35 Medium and 36–50 Hard. Each maze has exactly one path, which is checked by a separate program that counts every simple route through the grid, and the maze is kept only if the count is one. The book opens with a "How to play" page and a worked example, and it ends with an answer key. The levels are a guide to difficulty, not a promise about a grade.

Using mazes with kids

• For a calm start, use an Easy maze as a warm-up.
• For fluency, time a Medium maze and try to beat it.
• For a challenge, give a Hard maze to a fast finisher.
• For a break, mazes feel less like math than most things on this list.

Tips for grown-ups

1. Let the child read the rule aloud.
2. Ask "Which cells can you rule out?" before "Which way?"
3. If stuck, ask them to start from FINISH.
4. Praise the back-up. Retracing is good problem solving.

Next, try

If you like grid puzzles, try cross math puzzles. For symbol decoding, see crack the code math puzzles, and for stacked bricks, see how to solve a number pyramid.