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K
Kani
Cosmic Abacus
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One-digit addition drills

Five single digits per column. Short enough for a five-year-old, long enough that memorised answers stop working.

  • 5 rows × 1 digits, addition
  • About 5 min
  • Free, no account

Sample problems

Real problems from this drill, with answers. Nothing to install, no account, no email — work them on paper, on a physical abacus, or in your head.

  1. 1
    3
    + 7
    + 9
    + 7
    + 9
    ?
  2. 2
    4
    + 6
    + 7
    + 9
    + 5
    ?
  3. 3
    1
    + 8
    + 4
    + 5
    + 7
    ?
  4. 4
    5
    + 7
    + 6
    + 4
    + 2
    ?
  5. 5
    2
    + 5
    + 8
    + 2
    + 7
    ?
  6. 6
    4
    + 2
    + 3
    + 9
    + 3
    ?
  7. 7
    2
    + 5
    + 6
    + 5
    + 8
    ?
  8. 8
    9
    + 6
    + 7
    + 3
    + 9
    ?
  9. 9
    1
    + 6
    + 4
    + 2
    + 1
    ?
  10. 10
    3
    + 7
    + 3
    + 8
    + 4
    ?
Full answer key
  1. 3 + 7 + 9 + 7 + 9 = 35
  2. 4 + 6 + 7 + 9 + 5 = 31
  3. 1 + 8 + 4 + 5 + 7 = 25
  4. 5 + 7 + 6 + 4 + 2 = 24
  5. 2 + 5 + 8 + 2 + 7 = 24
  6. 4 + 2 + 3 + 9 + 3 = 21
  7. 2 + 5 + 6 + 5 + 8 = 26
  8. 9 + 6 + 7 + 3 + 9 = 34
  9. 1 + 6 + 4 + 2 + 1 = 14
  10. 3 + 7 + 3 + 8 + 4 = 25

Practise it now

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About this drill

Single-digit addition is the drill everyone starts with and almost everyone under-practises. Two-term sums get memorised quickly — 6 + 7 becomes a fact, not a calculation — which feels like progress but trains nothing. Five terms in a column cannot be memorised, so the learner has to actually maintain a running total, and that is the skill that carries forward.

Every problem below is pure addition with no negative steps, and every running total stays small. That makes it usable with beads, with fingers, or entirely in the head, which is why it works equally well as a warm-up for an experienced learner and as a first exercise for a beginner.

How to practise it

  1. 1Read the full column once before starting.
  2. 2Add top to bottom at a steady pace, one number per beat.
  3. 3Do not say the running total out loud — hold it.
  4. 4Check the answer only after the last row.

Questions

Is this suitable for a complete beginner?
Yes. No carrying, no complements, no negative steps — the only requirement is recognising the digits 1 to 9.
Should my child use fingers?
For a short while it is fine, but it caps speed at roughly one number per second forever. Beads or a mental image both scale; fingers do not.
How many columns per session?
Ten to twenty is a good daily dose at this width. Short and daily beats long and weekly by a wide margin.
What comes next?
Two-digit addition, or the 5-complement rules if you want the abacus technique rather than more of the same arithmetic.