Arithmetic Pyramid Game
Build a pyramid by calculating each block from the two directly below it.
Math puzzle challenges
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Help, keyboard and saved progress
Tap tiles or number boxes. Tab moves between fields and buttons; Enter in a field checks the current answer. Undo restores the most recent edit. Hints and Undo mark assistance.
Puzzle progress saves in your browser when available.
Daily puzzles switch at midnight UTC. Best scores are recorded separately for each difficulty.
Play the Arithmetic Pyramid
Every tile represents a whole number. To calculate a tile in the next row up, add the two tiles immediately below it. That one rule connects every part of the pyramid. Begin with the wide bottom row, then climb one row at a time. Click an empty tile, enter your result and move to the next tile. Filled starting numbers are locked so the task remains consistent.
In Easy mode every base number is supplied. Normal mode hides one base number but reveals a directly connected block above, so subtraction can recover the missing base value. Hard mode makes the pyramid taller and hides two widely separated base numbers, both recoverable from clues. There are three distinct difficulties, rather than three copies of the same arithmetic worksheet.
Use Check answer once you have filled the entire pyramid. The checker verifies the rule for every neighboring pair, not just the top number. A wrong lower block cannot be hidden by a coincidentally correct top total. If a mistake is reported, inspect the first pair of numbers mentioned and recalculate that connection before trying again.
A Worked Number Pyramid Example
Imagine a bottom row showing 3, 6, 2 and 4. The next row must contain 9, 8 and 6, because 3 + 6 = 9, 6 + 2 = 8 and 2 + 4 = 6. Continue upwards to 17 and 14. The final tile at the top is 31. You can check your work without guessing by recomputing every sum from the bottom.
A missing base tile can be calculated using subtraction. Suppose the first upper tile is 13 and the base tile beneath its left side is 5. The missing right tile is 8 because 5 + 8 = 13. This inverse relationship makes the harder puzzles genuinely mathematical: you may need to calculate down before you can calculate up.
Numbers grow as you climb, but the operation never changes in the middle of a puzzle. Do not average the lower numbers or multiply them. You can use any arithmetic method, including mental calculation or scratch paper, provided the submitted whole-number answers fit the addition relationships.
Hints, Daily Challenges and Common Questions
Choose Daily for a fixed challenge shared by players at the same UTC date and difficulty. Practice creates fresh layouts. A hint fills a missing block from one valid solution and marks the round assisted; Undo restores the last edit. Your best unassisted result is tracked separately for Easy, Normal and Hard on your device.
Does the top value alone prove the entire pyramid is correct? No. Several wrong lower entries can sometimes produce the same final total, so the checker examines each adjacent pair. Can two rows contain the same numbers? Yes. There is no rule requiring different digits or different values across the pyramid.
What if you cannot infer a base tile? Check the adjacent upper tile and its other lower neighbor. Subtract the known neighbor from the given upper value. This method supplies the missing information in Normal and Hard without relying on luck. This game practices addition, subtraction, place value and multi-step verification.