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 6∇2? 2. Laura is 5 years old, which is equal to half of Eric's age of next year. What is the age of Eric now? 3. Michael gained 3 lb last month, and he is now 43 lb. What was Michael's weight one month ago (in lb)? 4. Among three stundents of Joe, George and George, George is not the tallest. Joe is not the shortest, nor is the tallest. Who is the tallest among them? 5. Last year, John was 8 lb heavier than Jane. John gained 10 lb and Jane gained 4 lb since then. How much is John heavier than Jane now (in lb)? 6. Last year, Rene was 10 lb lighter than Anne. Rene gained 10 lb and Anne gained 18 lb since then. How much is Rene lighter than Anne now (in lb)? 7. Curtis took half of the coins and Martha 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 smallest among them? 9. Last year, Andy was 2 lb lighter than Emily. Andy lost 8 lb and Emily lost 5 lb since then. How much is Emily heavier than Andy now (in lb)? 11. Among three stundents of John, Steve and Richard, Richard is not the heaviest, nor is the lightest. John is not the heaviest. Who is the lightest among them? 12. If 4Δ2 = 4 + 42 = 46 and 2Δ4 = 2 + 24 = 26, what is the value of 6Δ3? 13. If 4∏2 = 24 − 4 − 2 = 18 and 2∏4 = 24 − 2 − 4 = 18, what is the value of 6∏2? 14. If 4∪2 = 42 + 24 = 66 and 2∪4 = 24 + 42 = 66, what is the value of 3∪9? 15. If 4⊗2 = 24 + 4 + 2 = 30 and 2⊗4 = 42 + 2 + 4 = 48, what is the value of 5⊗1? |