Number Puzzles
📋 What it is
Number puzzles often have a shortcut once you spot the structure instead of grinding.
🗣️ Coach says
A number puzzle rewards looking before leaping. “Add 1 to 20” looks like 20 additions — but pairing 1+20, 2+19… gives ten 21s = 210 in seconds. The shortcut hides in the structure.
🧠 Memory hook
Before you grind, look for the pairing or pattern that skips the work.
😲 Whoa!
Young Carl Gauss reportedly summed 1 to 100 in seconds as a boy using exactly this pairing trick — while his class added one number at a time.
✅ Quick check: A fast way to add 1+2+3+…+10?
Say your answer out loud first — then reveal.
Pair them: 1+10, 2+9, 3+8, 4+7, 5+6 = five 11s = 55.
Spotting the equal-sum pairs turns ten additions into one multiplication.
🧪 Try it! (2 minutes)
Sum 1 to 20 with the pairing trick (each pair makes 21). How many pairs, times 21?