Challenge Problems( Week 50 Practice) 1. 9 copies of a book cost less than $10. However, 10 copies of the same book cost more than $11. At least how many cents would a single copy of the book cost? 2. In a math countdown contest with 45 questions, each question can only be answered by one player whether the player answers it correctly or not. 10 points were given for each correct answer and 5 points were deducted for each incorrect ansewer. Anne is always able to answer two questions correctly out of every three questions. How many questions will she need to answer in order to make sure that she wins the countdown contest? 3. Which of the following is larger than ? 4. Each term after the first term in a sequence is 7 less than of the preceding term. If x is the first term of the sequence and x is not equal 0, what is the ratio of the second term to the first term? 5. There are two natural numbers that are larger than 1. The square of their sum is 110 more than the sum of their squares. What are the two numbers? Write only the numbers separated by a comma. |