These problems are different.
They use the same math you already know — but wrapped in ways you haven't seen before. There's no rush. Think slowly. Write your reasoning. The answer matters less than HOW you got there.
🎨 Unfamiliar Territory
How many times do the hour and minute hands overlap in 12 hours? It's NOT 12.
Your thinking space:
🔗 Chain Reaction
You start watching TV at 4:30. You watch for 1 hour 30 minutes. What time do you finish?
Show each step:
💬 Explain Your Thinking
Why does the clock have 12 numbers and not 24?
Explain in your own words:
🏆 Olympiad Teaser
At 3:00, what angle do the clock hands make? What about 6:00?
Think about what constraints the problem gives you. Write down what you KNOW for sure, then work from there. Often, trying small numbers first reveals a pattern.
Your answer and reasoning: