Mental math and logic games

Boost logic and mental math · 24 games

Cabe’s biggest section with 24 games. Half of them are mental arithmetic for speed and accuracy; the other half are logic puzzles, estimation and spatial reasoning. It suits both people who “aren’t math people” and those who want to keep their mind sharp.

All games in this section (24)

Division

Mental mathLogicFree

Division without remainders, with worked solutions and a multiplication check. Great for patching gaps in times tables.

How to play: Solve division problems with no remainder. Enter your answer using the number pad and tap Check. Each answer is followed by the solution and a multiplication check. Move to the next problem when you are ready. Settings: division facts, larger numbers, or a two-digit divisor; 5 to 30 problems. Your score is the percentage of correct answers. A list of solutions appears at the end.

Solve Problems

Mental mathProcessing speedFree

Speed sums with a penalty for mistakes: teaches you to calculate fast without getting sloppy.

How to play: Solve math problems as fast as you can. Faster solving = more points. Wrong answer = +1 second penalty.

Flash Count

Mental mathWorking memory

The problem is visible for one second, so you solve it from memory. Mental math and working memory in one.

How to play: A math problem appears for 1 second, then disappears. Enter the answer from memory.

Jumping Math

Mental mathWorking memoryPeripheral vision

Numbers pop up in different places and you add them up. Arithmetic, attention and memory at once.

How to play: Numbers appear on screen in random places. Remember them and enter the sum of all numbers. You can choose the number of digits and disappearance speed in settings.

Percent Guess

Estimation

Judge by eye how full the bar is. Builds a sense of proportion.

How to play: A filled bar is shown on screen. Guess what percentage it is filled. Enter your answer as a percentage.

Percentages

Mental mathEstimation

Quickly work out percentages of a number: discounts, tips and taxes in your head without a calculator.

How to play: A number and percentage appear on screen. Calculate the result and enter it. The faster, the better.

Guess the Angle

EstimationSpatial skills

Guess the size of an angle in degrees. Trains geometric intuition and a good eye.

How to play: An angle is drawn on screen. Choose the correct value in degrees from 4 options. Trains geometric intuition.

Serial Subtraction

Mental mathWorking memoryAttention

“Count down from 100 by sevens” — a well-known neuropsychological task for concentration and mental arithmetic.

How to play: Start from 100 and repeatedly subtract 7. Enter the next result. Focus on accuracy and speed.

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Mix Colors

EstimationLogic

Mix red, green and blue to match a sample colour. Colour intuition and step-by-step adjustment.

How to play: You are given a target color at the top. Mix red, green, and blue to get the same color!

Perfect Circle

PrecisionHand–eye coordinationSpatial skills

Draw a circle freehand and get a score in percent. A simple, addictive test of motor control.

How to play: Draw a circle freehand. We estimate similarity to a perfect circle in percent. Attempts can be configured in settings.

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Fifteen Puzzle

PlanningLogicSpatial skills

The 15 puzzle: put the tiles in order by sliding them. Planning several moves ahead.

How to play: Arrange the numbers in order by sliding tiles.

Mix

PlanningLogic

Sort the balls by colour across cups. A puzzle about sequencing moves.

How to play: Sort balls by colors by moving the top ball between cups. At the end every cup should contain balls of a single color.

Equations

LogicMental math

Equations with shapes: work out the value of each shape from the hints, then solve the final one. Algebra without x.

How to play: Solve equations with shapes. First determine the value of each shape from the hints, then solve the final equation.

Sudoku

LogicPlanningAttention

Classic 9×9 sudoku with adjustable difficulty. Pure logic, no arithmetic.

How to play: Fill a 9×9 grid with numbers 1–9 so that each row, column and 3×3 box contains all digits without repeats. Difficulty is configurable in settings.

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Sequence

LogicMental math

Find the pattern in a series of numbers and fill the gap. Inductive reasoning, as in IQ tests.

How to play: Find the pattern in the number sequence and guess the missing number.

Choose the Correct Sign

Mental mathLogic

Choose the sign (+, −, ×, ÷) that makes the equation true. Working backwards builds flexible number sense.

How to play: Three numbers are shown: a ? b = c. Choose the sign (+, -, ×, ÷) that makes the expression true.

Number Scales

Mental mathLogic

Balance the scales with the right number — addition and difference made visual.

How to play: Numbers are placed on scales. Choose the number to add to the right side to balance the scales.

Tower of Hanoi

PlanningLogicWorking memory

The Tower of Hanoi: move the disks without placing a larger one on a smaller one. A classic planning puzzle.

How to play: Move all disks from the first peg to the last. You cannot place a larger disk on a smaller one. Fewer moves = better.

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Magic Square

LogicMental math

Place numbers in a 3×3 grid so every row, column and diagonal adds up to 15.

How to play: Fill the 3×3 grid so every row, column and diagonal sums to 15.

Fermi Estimation

EstimationLogic

Estimate the order of magnitude in a real-life question. Teaches you to reason when exact data is missing.

How to play: Estimate the order of magnitude in a real-world question. Pick the closest option from 4. Trains estimation thinking.

Shape Math

Spatial skillsLogic

Add and subtract shapes as sets of lines and draw the result. Spatial reasoning.

How to play: Shapes add and subtract as sets of lines: plus merges lines and minus removes them. Choose 2, 3, or 4 shapes per expression in settings. Draw the resulting shape with your finger along the guide dots.

Mental Arithmetic

Mental mathVisual memoryWorking memory

Mental arithmetic on the soroban, the Japanese abacus. You set the answer with beads; difficulty adds digits.

How to play: Solve the expression and set the answer on the soroban. The upper bead on each rod is worth 5 and each lower bead is worth 1. Move beads toward the center beam. Medium and hard levels use addition and subtraction chains.

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Greater or Less

Mental mathProcessing speedEstimation

Two expressions — which is bigger? Quick estimating and calculating; the higher the level, the closer the results.

How to play: Two expressions appear at once: 7 × 8 and 60 − 7. Tap the one with the bigger result, as fast as you can. There are never ties — one of them is always bigger. The higher the difficulty, the harder the operations and the closer the two results get. Settings: number of attempts and difficulty.

Quick Math

Mental mathWorking memory

Numbers and operations appear one by one, so you hold the running total in your head to the end of the chain.

How to play: Numbers and operations appear one at a time. Apply each operation in order, from left to right, and enter the final result. Division has no remainder. Settings: attempts, pause, number count, difficulty, and operations (+, −, ×, ÷).

Why do math in your head when you have a calculator

Mental arithmetic is not only about numbers. To add 47 and 38 in your head you hold an intermediate result, plan the steps and check for errors. That is why mental math loads working memory and attention. It also saves time in everyday life: comparing prices per kilo, estimating a discount or tip, checking a bill.

Mental arithmetic

  • Speed: Solve Problems, Quick Math and Greater or Less — timed sums with a penalty for mistakes.
  • Calculation plus memory: Flash Count and Jumping Math show numbers only briefly, so you solve from memory.
  • Practical skills: Percentages, Division, Choose the Correct Sign, Number Scales.
  • Serial Subtraction — “count down from 100 by sevens”, a well-known concentration task.
  • Mental arithmetic on the soroban, the Japanese abacus, where the upper bead is worth 5 and each lower bead is worth 1.

Logic and puzzles

  • Sudoku — pure logic without arithmetic.
  • Tower of Hanoi — a planning puzzle invented in 1883 by the French mathematician Édouard Lucas. The minimum number of moves for n disks is 2ⁿ − 1.
  • The 15 Puzzle, Mix and Magic Square — puzzles about the order of moves.
  • Sequence and Equations — pattern finding and algebra with shapes instead of x.

Estimation by eye

Percent Guess, Guess the Angle, Mix Colors, Perfect Circle and Fermi Estimation train intuition — the ability to get a quick, sensible answer without exact calculation. Fermi Estimation is built on Fermi problems: the physicist Enrico Fermi liked to ask students how many piano tuners worked in Chicago, teaching them to reach a reasonable estimate through a chain of simple assumptions.

How to practise if math makes you anxious

Start with one game at the lowest difficulty and aim for “no mistakes” rather than “faster”. Short, low-stakes practice reduces number anxiety. Once your accuracy is stable, add speed. Step-by-step tricks are collected in our guide How to get faster at mental math.

Frequently asked questions

Are math games suitable for adults and seniors?

Yes. Every game has adjustable difficulty, so you can start with simple sums. Regular mental arithmetic is a good mental workout at any age.

What is soroban mental arithmetic?

It is a method of calculating on the Japanese abacus and later on an imagined one. The upper bead on each rod is worth 5 and each lower bead is worth 1. In Cabe you solve a problem and set the answer on the soroban; difficulty sets the number of digits.

What is the minimum number of moves in the Tower of Hanoi?

For n disks the minimum is 2ⁿ − 1 moves: 7 for 3 disks, 15 for 4, 31 for 5. Every extra disk doubles the task.

Can I play sudoku for free?

Sudoku is in the Math section. Each section has some free games, and Premium unlocks the rest. The app shows the current list of free games.

Five minutes for your brain instead of the feed

Download Cabe free for iPhone, iPad, Mac or Android: 113 games and exercises for reaction, memory, attention, mental math and English, plus breathing practices and habit trackers.