2025 · Paper 2 · Mathematics
Question 2
The printed question, the official key, and each model’s JSON answer plus the reasoning it wrote.
MathematicsPaper 2Single correct
Q02
Official B
Model answers
Claude Fable 5.1
Anthropic
Correct3 / 3
B
Claude Fable 5.1 reasoning
**Setting up the region** Bounds: y > 1/x, y < (5x−1)/4, y < (17−4x)/4. - Line 1 meets hyperbola: 5x² − x − 4 = 0 → x = 1, point (1,1). - Line 2 meets hyperbola: 4x² − 17x + 4 = 0 → x = 4 (or 1/4, excluded by line 1), point (4, 1/4). - Lines meet at x = 2, y = 9/4. **Area** ∫₁² [(5x−1)/4 − 1/x] dx + ∫₂⁴ [(17−4x)/4 − 1/x] dx = 13/8 + 5/2 − ln 4 = 33/8 − ln 4
GPT 6 Astra
OpenAI
Correct3 / 3
B
GPT 6 Astra reasoning
No written reasoning was returned for this item.
GPT 5.6 Luna
OpenAI
Correct3 / 3
B
GPT 5.6 Luna reasoning
No written reasoning was returned for this item.