NewPreparing for a mental-math contest? See the exact format — 200 questions in 8 minutes.Competition: 200 questions, 8 minSee the format
K
Kani
Cosmic Abacus
Free tool

Number bonds

Every pair that makes 5, 10 or 20 — as a chart to learn from, a drill to check with, and printable sheets for the fridge door. Abacus students know these as the small and big friends.

No signup. The chart, the drill and the printables all run right here in your browser.

Bonds to

The pairs

Read them, say them, cover one side and recall the other. Fluency with these pairs is what makes carrying and borrowing feel obvious later.

0 + 10 = 101 + 9 = 102 + 8 = 103 + 7 = 104 + 6 = 105 + 5 = 106 + 4 = 107 + 3 = 108 + 2 = 109 + 1 = 1010 + 0 = 10

Find the partner

Ten quick gaps — type the number that completes each bond. Check when done; reshuffle and go again until it feels automatic.

  1. 10 += 10
  2. 210 += 10
  3. 35 += 10
  4. 42 += 10
  5. 58 += 10
  6. 67 += 10
  7. 71 += 10
  8. 83 += 10
  9. 94 += 10
  10. 109 += 10

The same pairs, on the abacus

What Western classrooms call number bonds, abacus training calls the small friends (pairs making 5) and big friends (pairs making 10) — and drills them until every carry is a single bead move. If your child is learning bonds at school, the abacus route makes them permanent.