Drag rhythmic values into up to 8 beat blocks per line to build a drum groove, or click a tile then click a block to place it — handy on a trackpad.

🎵 Number Theory Lesson 8: The Chinese Remainder Theorem — Solve a System of Two Congruences mess around all you want, nothing here saves
152 BPM
Loading drum sounds…
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
4/4 ×2
🎯 Lesson: 0/4 · 🥁 0 solved · 0 badges

Number Theory, Lesson 8: The Chinese Remainder Theorem

Math skill: Solve a System of Two Congruences

How the beat teaches it: Every slot gives two congruences with coprime moduli — search the candidates satisfying the first congruence until one also satisfies the second. Build that many notes anywhere in the kit (the value of x itself).

This is lesson 8 of 24 in RockBlocks Math, Number Theory, a free course where every lesson turns a math idea into something you can count, hear, and play. The previous lesson, Modular Exponentiation by Repeated Squaring,” covered compute aⁿ mod m Using Repeated Squaring. Next is Lesson 9, Linear Diophantine Equations.”

Every slot above (A, B, C, D) is its own question, and it’s a real, blank RockBlocks beat the whole time — the same drag-and-drop tiles, kit, tempo, sheet music, and drummer view as anywhere else on the site. Tap ❓ Questionin the corner to read the current slot’s problem, build your answer right in the grid, then tap ✓ Check Answerto grade it. Once you’re done, keep going: expand the beat, drop it into a Stack, or save a copy to your own page — nothing here overwrites the lesson itself, so every visitor still starts from the same blank slots.