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**2) Cut the circle into 7 pieces with just three straight cuts. **

Name _________________ ADVANCED Tic-Tac-Toe Homework for the week of Dec. 2, DUE FRIDAY If 3/5 of a number is x, then what is 2/3 of the number? Express your answer in terms of x. As always, show your bar model, explain your reasoning in words and numbers, and show your answer two ways in simplest terms. 2) Cut the circle into 7 pieces with just three straight cuts. (There are multiple answers, can you show at least one way?) Expectations: Explain your reasoning. Show your work. 3) In the following cryptarithms, each letter represents a different digit. What is the value of each letter? DBC S Z T N ABC B D E A C x F Q N ABC X H T X Q FAA S Z T N EGC H F Q U F DDEC H X U E Z F Q DDEC The pages of a certain book are numbered consecutively from 1 to How many page numbers have the digit 2 in the units place and are also divisible by 8? What’s my number? 3/5 of my number is 21. 2/7 of my number is 14. The product of 1 ½ and my number is 12. If 56 is added to ¼ of my number, the result is double of my number. If 6 is added to 2 ½ times my number, the result is triple of my number. If my number is multiplied by 4, the result is the same as adding 15 to 3/14 times my number. 6) A banquet hall has just two sizes of tables. One size seats exactly 5 people and the other size seats exactly 8 people. At tonight’s banquet, exactly 79 people will be seated at less than one dozen tables and there will be no empty places. How many tables of each size will there be at the banquet? (True story)…A 9-year-old child prodigy irritated his teacher, so she assigned him the task of finding the sum of all the counting numbers from 1 to 100 inclusive. To the teacher’s surprise, the child arrived at the correct number within seconds. What is the sum? What pattern did the child see to calculate the answer so quickly? 8) What is the value of the whole number N if: N = ½ of 2/3 of ¾ of 4/5 of 100? 9) The Panthers team won exactly 2 of its first 9 games. By winning all its remaining N games, the Panthers ended with victories in exactly half of the games it played. What number does N represent?

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**Tic-Tac-Toe Menu Directions**

Choose at least any three activities from our tic-tac-toe menu. When you have completed three activities, you may decide to be finished. Or you may decide to keep going and complete more activities. I choose activities # ________, # __________, # __________, Additionally, I choose activities # __________, # __________, # __________, # __________ Do you have an idea for alternate activities you’d like to do instead for practice? Talk them over with your teacher. I prefer to do the following alternate activities: ___________________________________________ __________________________________________________________________________________ Reflection on Homework Choices (tell what you liked, what was challenging, why you made the choices you made, what you learned, etc.) Were you able to do the work independently? Describe the kind of help your parents or tutors gave you. Student Name: _________________________________________ Date: ______________________ PLEASE MAKE SURE THAT YOU HAVE ATTACHED ALL THE WORK YOU HAVE COMPLETED. IF IT IS A TECHNOLOGY ACTIVITY, MAKE SURE THAT YOUR PARENTS HAVE SIGNED THEIR NAME ON THAT BOX TO CONFIRM THAT YOU DID THE PRACTICE ACTIVITY FOR THE ALLOTTED TIME. THANK YOU FOR ALL YOUR EFFORTS TO LEARN AND BECOME A BETTER MATHEMATICIAN.

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