To determine which test Dan performed better on, let’s calculate the percentage score for each test.

1. First Test: $\frac{22}{25} \times 100 = 88\%$

2. Second Test: $\frac{42}{50} \times 100 = 84\%$

Comparing the two percentages, Dan scored 88% on the first test and 84% on the second test. Therefore, he performed better on the first test by 4 percentage points.

Would you like more details on this calculation or have any questions?

Here are some related questions to explore:

1. How do you convert fractions to percentages in general?
2. What are other methods to compare two different test scores?
3. If Dan took a third test, how would his average score be calculated?
4. How can you determine a required score on a third test to reach a target average?
5. How could we calculate Dan's improvement or decline between two tests over time?

Tip: Always convert fractions to percentages when comparing different-sized totals to ensure a fair comparison.