Class 6 • Chapter 3 Interactive Mathematical Playground
exploreConfigure your number layouts to discover mathematical properties. Select a tab below to start playing!
grid_on Grid Controls
A cell is a "Supercell" if it holds a number strictly larger than its immediate top, bottom, left, and right neighbors.
Layout Format
Preset Strategies
menu_book Textbook Insights:
Can you fill a row with distinct numbers and have 0 supercells? No! Because the largest number in any distinct set will always be larger than its neighbors, guaranteeing at least 1 supercell.
💡 Classroom Interactive: Click any cell above to change its value, then observe how adjacent indicators dynamically shift!
Found 4 Supercells in the 1D Row
By placing high numbers alternately, we achieve the maximum mathematical limit for a row of 7 items.
blur_on Kaprekar Subtraction
Pick any 4-digit number (at least two distinct digits). The routine always leads to 6174 within 7 steps.
Please enter at least 2 distinct digits.
Syllabus Presets
school Magic of 6174:
Once 6174 is reached, any further round results in: 7641 - 1467 = 6174.
It acts as an attractor, capturing all non-identical 4-digit sequences.
Convergence Timeline
Click 'Shuffle' or enter a custom number to track the routine step-by-step!
watch_later Clock Scrub
Syllabus Section 3.7: Scrub the timeline below to find symmetrical clock readings in a 12-hour format.
Clock Timeline10:01 AM
12:003:006:009:0012:00
Palindromic Time Presets
timeline Syllabus Questions:
The clock currently reads 10:01. How many minutes must pass before the next palindromic time?
Next time is 11:11 (in 70 minutes).
10:01
10:01 is a Palindromic Time!
Reversing the digits gives 10:01, reading exactly the same forwards and backwards.