1. **Problem statement:** The goals scored by Arjun, Simon, and Kath are in the ratio 2:5:8. Simon scored 12 more goals than Arjun. We need to find the number of goals scored by Kath. 2. **Formula and rules:** If the ratio of goals is $2:5:8$, let the common multiplier be $x$. Then: $$\text{Arjun's goals} = 2x$$ $$\text{Simon's goals} = 5x$$ $$\text{Kath's goals} = 8x$$ 3. **Using the given information:** Simon scored 12 more goals than Arjun, so: $$5x - 2x = 12$$ $$3x = 12$$ 4. **Solve for $x$:** $$x = \frac{12}{3} = 4$$ 5. **Find Kath's goals:** $$8x = 8 \times 4 = 32$$ **Final answer:** Kath scored 32 goals.