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 1∇6? 2. Morgan is 4 years old, which is equal to half of Larry's age of next year. What is the age of Larry now? 3. Nick gained 3 lb last month, and he is now 43 lb. What was Nick's weight one month ago (in lb)? 4. Among three stundents of Rene, Tom and Jackson, Rene is not the tallest. Jackson is not the shortest, nor is the tallest. Who is the shortest among them? 5. Last year, Nick was 2 lb heavier than Jennifer. Nick gained 13 lb and Jennifer gained 10 lb since then. How much is Nick heavier than Jennifer now (in lb)? 6. Last year, Eric was 1 lb lighter than Martha. Eric gained 8 lb and Martha gained 14 lb since then. How much is Eric lighter than Martha now (in lb)? 7. Smith took half of the coins and Niconia took half of the remaining coins. There were 4 coins left. How many coins were there originally? 8. There are three numbers A, B, and C. Number C is not the largest. Number B is not the smallest, nor is it the largest. Which number is the largest among them? 9. Last year, Jackson was 4 lb lighter than Jennifer. Jackson lost 16 lb and Jennifer lost 10 lb since then. How much is Jennifer heavier than Jackson now (in lb)? 11. Among three stundents of David, Joe and Michael, David is not the heaviest, nor is the lightest. Joe is not the lightest. Who is the heaviest among them? 12. If 4Δ2 = 4 + 42 = 46 and 2Δ4 = 2 + 24 = 26, what is the value of 3Δ8? 13. If 4∏2 = 24 − 4 − 2 = 18 and 2∏4 = 24 − 2 − 4 = 18, what is the value of 4∏5? 14. If 4∪2 = 42 + 24 = 66 and 2∪4 = 24 + 42 = 66, what is the value of 5∪7? 15. If 4⊗2 = 24 + 4 + 2 = 30 and 2⊗4 = 42 + 2 + 4 = 48, what is the value of 2⊗5? |