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 7∇2? 2. Sofia is 5 years old, which is equal to half of Jay's age of next year. What is the age of Jay now? 3. Smith gained 3 lb last month, and he is now 46 lb. What was Smith's weight one month ago (in lb)? 4. Among three stundents of Jay, Michael and George, Michael is not the tallest. Jay is not the shortest, nor is the tallest. Who is the tallest among them? 5. Last year, Eric was 3 lb heavier than Julia. Eric gained 13 lb and Julia gained 9 lb since then. How much is Eric heavier than Julia now (in lb)? 6. Last year, Kevin was 7 lb lighter than Jennifer. Kevin gained 6 lb and Jennifer gained 10 lb since then. How much is Kevin lighter than Jennifer now (in lb)? 7. Rene took half of the coins and Laura 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 largest among them? 9. Last year, Eric was 5 lb lighter than Morgan. Eric lost 10 lb and Morgan lost 2 lb since then. How much is Morgan heavier than Eric now (in lb)? 11. Among three stundents of Tom, Joe and Tom, Tom is not the heaviest, nor is the lightest. Tom 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 3Δ7? 13. If 4∏2 = 24 − 4 − 2 = 18 and 2∏4 = 24 − 2 − 4 = 18, what is the value of 8∏5? 14. If 4∪2 = 42 + 24 = 66 and 2∪4 = 24 + 42 = 66, what is the value of 3∪7? 15. If 4⊗2 = 24 + 4 + 2 = 30 and 2⊗4 = 42 + 2 + 4 = 48, what is the value of 3⊗5? |