2025 · Paper 1 · Mathematics
Question 8
The printed question, the official key, and each model’s JSON answer plus the reasoning it wrote.
MathematicsPaper 1Numerical
Q08
Official 105

Model answers
Claude Fable 5.1
Anthropic
Correct4 / 4
105
Claude Fable 5.1 reasoning
Reflexive requires 6 diagonal pairs. Remaining 4 elements must come from symmetric off-diagonal pairs, each contributing 2 elements, so choose 2 unordered pairs from C(6,2)=15: C(15,2)=105.
GPT 6 Astra
OpenAI
Correct4 / 4
105
GPT 6 Astra reasoning
No written reasoning was returned for this item.
GPT 5.6 Luna
OpenAI
Correct4 / 4
105
GPT 5.6 Luna reasoning
No written reasoning was returned for this item.