Split #32 — the solution

The three rounds from October 31, 2026: twelve numbers each, split into four groups of three that add to the target — the one way each round allows, with its decoys and where the reasoning starts.

Round 1 — target 33

The numbers: 18, 17, 7, 13, 9, 19, 4, 2, 1, 14, 20, 8. 3 decoys.

The groups: 18 + 7 + 8, 17 + 2 + 14, 13 + 19 + 1, 9 + 4 + 20.

The decoys — triples that add to 33 but are not in the answer: 18 + 13 + 2; 18 + 1 + 14; 17 + 7 + 9.

Where to start: 19, 4, 20 and 8 sit in only one on-target triple, so their groups are certain — start there.

Round 2 — target 37

The numbers: 9, 18, 12, 17, 20, 2, 14, 3, 19, 5, 13, 16. 4 decoys.

The groups: 9 + 12 + 16, 18 + 17 + 2, 20 + 14 + 3, 19 + 5 + 13.

The decoys — triples that add to 37 but are not in the answer: 18 + 14 + 5; 18 + 3 + 16; 12 + 20 + 5; 2 + 19 + 16.

Where to start: 9, 17 and 13 sit in only one on-target triple, so their groups are certain — start there.

Round 3 — target 29

The numbers: 5, 7, 15, 2, 17, 8, 18, 6, 4, 11, 9, 14. 6 decoys.

The groups: 5 + 7 + 17, 15 + 8 + 6, 2 + 18 + 9, 4 + 11 + 14.

The decoys — triples that add to 29 but are not in the answer: 5 + 15 + 9; 5 + 18 + 6; 7 + 8 + 14; 7 + 18 + 4; 17 + 8 + 4; 6 + 9 + 14.

Where to start: 2 and 11 sit in only one on-target triple, so their groups are certain — start there.

Previous: Split #31 (Fri, Oct 30) · Next: Split #33 (Sun, Nov 1) · All Split solutions

About Split

Split is Noggin’s number puzzle, on the second shelf: twelve numbers into four groups of three, three rounds a day, outside the daily line-up. How to play Split, or play today’s.