Claude Opus 4.8 vs GPT-5.6 Luna for everyday maths
Effectively a dead heat: 100–98
Same 12 everyday maths tasks, marked blind by three rival labs. Claude Opus 4.8 took 2 tasks, GPT-5.6 Luna took 0, 10 tied. Tested 14 Aug 2026.
Where they differed most
A car does 42 miles per gallon. Petrol is £1.46/litre. One gallon is 4.546 litres. What does a 260-mile journey cost in fuel, to the nearest 10p? Show each step.
# Fuel Cost Calculation
## Step 1: Find gallons needed
$$260 \div 42 = 6.1905 \text{ gallons}$$
## Step 2: Convert gallons to litres
$$6.1905 \times 4.546 = 28.142 \text{ litres}$$
## Step 3: Calculate the cost
$$28.142 \times £1.46 = £41.088$$
## Step 4: Round to the nearest 10p
$$£41.088 \approx £41.10$$
## Answer
**The journey costs approximately £41.10 in fuel.**1. **Gallons of petrol used:**
\[
260 \div 42 = 6.1905\text{ gallons}
\]
2. **Convert gallons to litres:**
\[
6.1905 \times 4.546 = 28.1419\text{ litres}
\]
3. **Calculate the fuel cost:**
\[
28.1419 \times £1.46 = £41.087
\]
4. **Round to the nearest 10p:**
\[
\boxed{£41.10}
\]
The journey costs **£41.10 in fuel**.Task by task
| Task | Claude Opus 4.8 | GPT-5.6 Luna |
|---|---|---|
| VAT both ways | 10 | 10 |
| Percentage change vs points | 10 | 10 |
| Unit price comparison | 10 | 10 |
| Mortgage overpayment intuition | 10 | 10 |
| Split a bill with a twist | 10 | 10 |
| Compound vs simple | 10 | 10 |
| The discount stack | 10 | 10 |
| Reverse percentage | 10 | 10 |
| Rate to reality | 10 | 9 |
| Average of averages trap | 10 | 10 |
| Estimate honestly | 10 | 9 |
| Refuse false precision | 10 | 10 |
Full receipts: Claude Opus 4.8, GPT-5.6 Luna · judges gemini-3.1-pro-preview, gpt-5.6-terra, grok-4.5
Questions people ask
Which is better for everyday maths: Claude Opus 4.8 or GPT-5.6 Luna?
Effectively a dead heat: Claude Opus 4.8 edged it 100/100 to 98/100 on our everyday maths suite — too close to matter, so pick on price or the product you already use.
How was this tested?
Both models answered the identical published everyday maths tasks. Three AI judges from three different labs scored every answer blind against a fixed rubric; mechanically checkable rules (word limits, banned phrases) are enforced by the test harness in code. The raw outputs and judge verdicts are downloadable.
More everyday maths head-to-heads: Claude Opus 4.8 vs GPT-5.6 Terra · Claude Opus 4.8 vs GPT-5.6 Sol · Claude Opus 4.8 vs Grok 4.5 · Claude Opus 4.6 vs Claude Opus 4.8 · Claude Opus 4.8 vs GPT-5.3-Codex · Claude Opus 4.8 vs GPT-5.5
Full ranking: Best AI for everyday maths · model pages: Claude Opus 4.8, GPT-5.6 Luna