Number Patterns
Spot the rule behind each sequence with a free, browser-based logic game. Arithmetic, geometric, square, and Fibonacci patterns included.
Logic & PuzzlesBalance Puzzles
A scale stays level only when both sides weigh the same. Below: how to undo an operation to isolate the unknown, and why the total is the most tempting wrong answer.
Choose your difficulty
Pick a level to start playing. You can switch at any time.
How to play
Work out the number that balances the scale, then tap it.
Tip: your progress and best score are saved in this browser only.
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Logic & PuzzlesWhat you are actually practicing
A scale stays level only when both sides weigh the same. Turn that into arithmetic and you get a one-step equation: two identical items together weigh twelve, so each weighs six. Solving it is not a special skill — it is undoing an operation.
This game is built entirely from one-step balance puzzles, because that is the step where the habit is formed. Long equations later are just this, repeated.
How the game works
You are shown a balance with one unknown, and four candidate values. Pick the value that keeps the scale level. A wrong pick reveals the answer immediately.
Easy uses addition only. Medium adds subtraction. Hard includes multiplication, where the unknown is the number of times something repeats.
The moves worth knowing
Undo addition with subtraction: ? + 3 = 11, so ? = 11 - 3 = 8.
Undo subtraction with addition: ? - 7 = 9, so ? = 9 + 7 = 16.
Undo multiplication with division: 2 × ? = 12, so ? = 12 ÷ 2 = 6.
Strategies that actually raise your score
Name the operation before you compute. Say out loud which operation is being applied to the unknown — added, subtracted, multiplied — then apply its opposite. Most errors are not arithmetic errors, they are applying the wrong inverse.
The total is the trap. In ? + 3 = 11 the answer is not 11. The total is the most common wrong option on screen, so if your answer equals the number on the other side of the equals sign, think again.
Check by substituting. Put your answer back into the left side. If 8 + 3 is not 11, the answer is wrong — this takes a second and catches everything.
Expect a smaller answer when multiplying. If two identical items weigh twelve, each must weigh less than twelve. Any option larger than the total in a multiplication puzzle is wrong on sight.