Math Olympiad 3( Week 36 Quiz 7) 1. 6 people are playing a tennis tournament. Every two players will play a game. How many games will be played in total? 2. The weight of one elephant is equal to the weight of 3 cows. The weight of one cow is equal to the weight of 8 sheep. How many sheep will have a total weight of one elephant? 3. What is the Roman numeral with a value of 16? 4. Here are the Roman numerals and their corresponding value: I(1), V(5), X(10), L(50), C(100), D(500), M(1000). What is the value of the Roman numeral string "CXVIII"?
(Note that when a smaller Roman numeral is on the left of another Roman numeral that is larger in value, the smaller Roman numeral value needs to be subtracted from the sum). 5. The weight of 4 chairs plus 43 pounds is equal to the weight of 8 chairs minus 9 pounds. What is the weight (in pounds) of one chair? 6. Here are the Roman numerals and their corresponding value: I(1), V(5), X(10), L(50), C(100), D(500), M(1000). What is the decimal value of the following Roman numeral equation: CCCLVII - LXV =?
(Note that when a smaller Roman numeral is on the left of another Roman numeral that is larger in value, the smaller Roman numeral value needs to be subtracted. For example, XIV = 10 + 5 − 1). 7. The sum of two numbers is 21. The larger number is twice the smaller number. What is the larger number? 8. Anne and Ed has a total of $30 together, and what Anne has is twice as what Ed has. How much money do they have respectively?(Separate the answers by a comma.) 9. There are two numbers with a sum of 490. One number is 4 times the other number. What is the smaller number? 10. Here are the Roman numerals and their corresponding value: I(1), V(5), X(10), L(50), C(100), D(500), M(1000). What is the value of the Roman numeral string "L"?
(Note that when a smaller Roman numeral is on the left of another Roman numeral that is larger in value, the smaller Roman numeral value needs to be subtracted. For example, XIV = 10 + 5 − 1). 11. Is 61 a prime number? 12. Find all the factor(s) of 121. Type all the factors separated by ','. 13. Find all the factor(s) of 35. Type all the factors separated by ','. 14. Express 175 as a product of prime numbers. Type * for multiplication symbol ×. 15. Is 31 a composite number? |