The tiny AI model that got basic maths wrong, and the one to use instead
Ask a tiny free model when a 14:35 train arrives after 2 hours 50 and it confidently says 15:25. Find the model that gets it right on your laptop, plus a one-command test that checks any model before you trust it.
- The first lesson in this track done: Ollama installed. Gemma 4 needs Ollama 0.20.7 or newer: check with
ollama --version. - Up to 5GB of free disk space per model you try
- Python, or uv, for the one-command trust test (step 4). Not needed for the rest
Understand what the size means
The number in a model's name tells you roughly how much it knows and how hard your laptop will work.
Model names end in a size like
0.8b,4bore2b. The b means billions of parameters, the model's "brain cells". Bigger usually means smarter, slower and a larger download.- Under 1b: tiny and quick, fine for simple rewording, unreliable for facts and maths.
- 2-4b: the sweet spot for most laptops.
- 7b and up: noticeably smarter, but you'll want 16GB+ of RAM, ideally a graphics card.
Which model for your RAM (a starting point from the results in step 2):
- 8GB:
qwen3.5:4b(3.3GB download). Slower, but it follows instructions well. Close other programs while it runs. - 16GB:
gemma4:e2b(4.6GB). The best all-rounder in this test. - 32GB or a graphics card: start with
gemma4:e2b, then try the bigger sizes in the same families (gemma4:e4b,qwen3.5:9b) with the trust test in step 4 before you switch.
TipGemma 4'se2bmeans effective 2b: the download includes extra parts that don't all need to be worked through for every word, so it runs more like a 2b model. That's why it runs faster than the 4b model, despite being a bigger download.- 8GB:
4b means and which size range suits your laptop.