Claude Opus 4.8 vs GPT-5.6 Luna for everyday maths

The verdict

Effectively a dead heat: 10098

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

The task — Rate to reality

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

TaskClaude Opus 4.8GPT-5.6 Luna
VAT both ways1010
Percentage change vs points1010
Unit price comparison1010
Mortgage overpayment intuition1010
Split a bill with a twist1010
Compound vs simple1010
The discount stack1010
Reverse percentage1010
Rate to reality109
Average of averages trap1010
Estimate honestly109
Refuse false precision1010

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