Variant 1 — Zero-shot CoT ('Let's think step by step')
**Mechanic:** Append 'Let's think step by step' (or equivalent) to the prompt. Model produces reasoning before final answer. Per Kojima et al. 2022 (arXiv:2205.11916), this single phrase unlocks substantial reasoning ability with no examples.
**Cost:** 1 model call, ~1.5-2× the output tokens of non-CoT (reasoning text adds to output length).
**Accuracy lift:** +15-30% on math/logic tasks vs. direct prompting in the original Kojima paper. Modern frontier models internalize this technique partly; lift is smaller on the latest models (~5-15%) because they default to reasoning when the task seems to need it.
**Best for:** Math problems, logic puzzles, multi-step reasoning tasks where the model needs to think through intermediate steps. Cheapest CoT variant.