Free logic puzzles to play and print

Logic Math Puzzles: Math Brain Teasers with Answers

Pick a puzzle type and level, solve it on screen with hints, or print a worksheet with an answer key.

Math logic puzzles are number problems where you work out a missing value from clues, operators and simple rules. This page gives you a free set of them that runs in your web browser, with no sign-up and nothing to install.

The tool offers six puzzle types: picture equations, missing operators, number pyramids, cross math grids, number sequences, and age and word problems. A Mixed option combines them. Each type comes in Easy, Medium and Hard levels, so you can start with simple sums and work up to multi-step problems. Every puzzle has a Show answer option that explains the working, so these math puzzles with answers are useful for learning as well as testing yourself.

You can also print worksheets for family games, classroom practice or a Christmas math brain teaser session.

Logic math puzzles example

How to use the Math logic puzzles tool

  1. Choose a Puzzle type from the list: Picture equations, Missing operators, Number pyramid, Cross math grid, Number sequence, Age and word problems, or Mixed.
  2. Pick a level: Easy, Medium or Hard.
  3. For picture equations, choose the Pictures set: Fruit or Christmas.
  4. Read the puzzle, type your answer into the Your answer box, and select Check.
  5. If you are stuck, select Hint for a two-step hint, such as the value of one picture and the equation that gives it.
  6. To see the full explanation, select Show answer.
  7. Select New puzzle for another one. Use Reset if you want to start over.

Your score for the session is shown as you play. Your progress is saved in the browser, so it is still there when you return on the same device.

To print, choose the puzzle type, level and pictures, then set 4, 6 or 8 puzzles per page and 1 to 10 pages. Pick US Letter or A4, and add answer pages with explanations if you want them. You can also add name and date lines to the worksheet. Check the page preview, then select New set for a different batch. Every puzzle is built from a seed, so a shared link or a reprinted sheet gives you the same puzzle.

The worksheets are free to use in class and in products you sell, such as Teachers Pay Teachers resources or a KDP workbook.

How do you solve picture (fruit) equation puzzles?

Each picture stands for one whole number, and the same picture has the same value in every line. Start with a line that contains only one kind of picture, work out its value, then substitute that value into the other lines.

Easy puzzles use + only, with values from 2 to 9. Medium adds subtraction and uses values from 2 to 14. Hard adds multiplication and uses values from 2 to 12. Here is the easy demo worked through:

  1. Apple + apple + apple = 15, so apple = 5.
  2. Star + apple = 8, so star = 8 − 5 = 3.
  3. Banana + star = 10, so banana = 10 − 3 = 7.
  4. The question asks for apple + banana + star = 5 + 7 + 3 = 15.

On Hard puzzles, the last line mixes × with + or −. Multiply first, so in 2 × star + apple you work out 2 × star before adding apple. Each picture equation has one proven unique answer, so your working should always land on a single value.

What about missing operators and cross math grids?

In a missing operators puzzle you choose +, −, × or ÷ for each box; multiplication and division are worked out first, so test those boxes early. A cross math grid works like a crossword of sums: every row and every column must be true at once, so fill the cell that two equations share first. These mathematics logic puzzles reward checking each guess both ways.

How do number pyramids work?

Each brick is the sum of the two bricks directly below it. The puzzle gives you some bricks and leaves others empty, and your task is to fill in the empty ones. Pyramids have 3, 4 or 5 rows, and you can solve any of them by finding one brick at a time.

Take an easy pyramid with a bottom row of 6, ?, ?, a middle row of 7 and 5, and a top brick of 12:

  1. The top brick is the sum of the two middle bricks, and 7 + 5 = 12, so that part is already consistent.
  2. The first two bottom bricks add up to the left middle brick, 7. So the missing middle bottom brick is 7 − 6 = 1.
  3. The middle and right bottom bricks add up to the right middle brick, 5. So the right bottom brick is 5 − 1 = 4.

The rule for every missing brick is the same: subtract the brick you know from the brick above it.

Frequently asked questions

What are math logic puzzles?

Math logic puzzles ask you to find a missing number or operator using clues and arithmetic rules, rather than simply calculating an answer. Examples include picture equations, number pyramids and cross math grids.

Is it free, and do I need an account?

Yes, it is free. Everything runs in your web browser, with no sign-up and nothing to install. Nothing you enter is uploaded.

Does it work on a phone or tablet?

The tool runs entirely in a web browser and needs nothing installed, so you can open it in the browser on your device. Your progress is saved in that browser.

Can I print the puzzles?

Yes. You can set up worksheets with 4, 6 or 8 puzzles per page, and you can preview the pages before you print.

Are the answers checked for a single correct solution?

Picture equations and cross math grids each have one proven unique answer. In missing operator puzzles, any correct row counts as a solution.

How are the number sequence and word problem answers checked?

Number sequence puzzles use the site’s sequence solver, and its top rule always gives the intended answer. Age and word problems are checked by brute force, so every answer is confirmed before it appears.

Are math logic puzzle worksheets free for commercial use on Teachers Pay Teachers?

Yes. Worksheets you make here are free for personal, classroom and commercial use, including Teachers Pay Teachers products, Etsy printables, KDP workbooks and print-on-demand. It is royalty-free and no credit is needed. The only thing you may not do is copy the generator or the site to run a competing service.