Math Olympiad 2( Week 20 Quiz 4) 1. If 4∇2 = 42 − 4 = 38 and 2∇4 = 24 − 4 = 20, what is the value of 3∇7? 2. Sofia is 3 years old, which is equal to half of Ed's age of next year. What is the age of Ed now? 3. Steve gained 2 lb last month, and he is now 51 lb. What was Steve's weight one month ago (in lb)? 4. Among three stundents of Larry, Curtis and Curtis, Curtis is not the shortest. Larry is not the shortest, nor is the tallest. Who is the tallest among them? 5. Last year, Eric was 15 lb heavier than Nancy. Eric gained 10 lb and Nancy gained 2 lb since then. How much is Eric heavier than Nancy now (in lb)? 6. Last year, Joe was 2 lb lighter than Mary. Joe gained 8 lb and Mary gained 11 lb since then. How much is Joe lighter than Mary now (in lb)? 7. Jackson took half of the coins and Jennifer took half of the remaining coins. There were 5 coins left. How many coins were there originally? 8. There are three numbers A, B, and C. Number A is not the largest. Number C is not the smallest, nor is it the largest. Which number is the smallest among them? 9. Last year, Ben was 4 lb lighter than Jennifer. Ben lost 8 lb and Jennifer lost 5 lb since then. How much is Jennifer heavier than Ben now (in lb)? 11. Among three stundents of Smith, David and Ben, Ben is not the heaviest, nor is the lightest. Smith is not the lightest. Who is the lightest among them? 12. If 4Δ2 = 4 + 42 = 46 and 2Δ4 = 2 + 24 = 26, what is the value of 3Δ6? 13. If 4∏2 = 24 − 4 − 2 = 18 and 2∏4 = 24 − 2 − 4 = 18, what is the value of 9∏2? 14. If 4∪2 = 42 + 24 = 66 and 2∪4 = 24 + 42 = 66, what is the value of 5∪9? 15. If 4⊗2 = 24 + 4 + 2 = 30 and 2⊗4 = 42 + 2 + 4 = 48, what is the value of 3⊗8? |