Split #33 — the solution

The three rounds from November 1, 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 30

The numbers: 3, 1, 7, 17, 12, 14, 20, 8, 2, 13, 19, 4. 3 decoys.

The groups: 3 + 14 + 13, 1 + 17 + 12, 7 + 19 + 4, 20 + 8 + 2.

The decoys — triples that add to 30 but are not in the answer: 3 + 7 + 20; 3 + 8 + 19; 12 + 14 + 4.

Where to start: 1, 17, 2 and 13 sit in only one on-target triple, so their groups are certain — start there.

Round 2 — target 27

The numbers: 15, 2, 5, 16, 19, 1, 4, 8, 10, 12, 13, 3. 4 decoys.

The groups: 15 + 4 + 8, 2 + 12 + 13, 5 + 19 + 3, 16 + 1 + 10.

The decoys — triples that add to 27 but are not in the answer: 15 + 2 + 10; 5 + 10 + 12; 16 + 8 + 3; 4 + 10 + 13.

Where to start: 19 and 1 sit in only one on-target triple, so their groups are certain — start there.

Round 3 — target 30

The numbers: 11, 1, 3, 10, 16, 2, 6, 20, 17, 14, 13, 7. 6 decoys.

The groups: 11 + 2 + 17, 1 + 16 + 13, 3 + 20 + 7, 10 + 6 + 14.

The decoys — triples that add to 30 but are not in the answer: 11 + 3 + 16; 11 + 6 + 13; 3 + 10 + 17; 3 + 14 + 13; 10 + 13 + 7; 6 + 17 + 7.

Where to start: 1, 2 and 20 sit in only one on-target triple, so their groups are certain — start there.

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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.