Unit 8 Math 30-2 Analyzing Puzzles and Games Unit Use the following information to answer the next question. The intention of a particular two-player game is to create a line of four adjacent squares using the same letter. To play, each player takes turns placing their first initial somewhere on a six-by-six grid. Margaret and Gerda have started playing this game, as shown on the grid below. Column 1 2 3 4 5 6 1 G 12 G G Row G M M G M 16 M M G Numerical Response 1: It is Margaret's turn, and she determines that she can guarantee a win by placing the letter M in row (Write this answer in the first box) column (Write this answer in the second box) (Place your answer in the boxes from left to right)Use the following information to answer the next question. The objective of the Kakuro puzzle is to insert a digit from 1 to 9 inclusive into each white cell such that the sum of the numbers in each entry matches the clue associated with it and that no digit is duplicated in any entry. A partially completed Kakuro puzzle is shown below. 23 30 27 12 16 16 9 7 17 8 7 17 A 9 29 15 B 957 35 6 8 09 7 12 16 0 267 11 10 4 6 1 3 E 21 8 9 3 1 1 F 6 3 1 2 3 2 1 Numerical Response 3: The value of A + B + C+ D+ E +F is. Use the following information to answer the next two questions. Three rows of a pattern are shown below. Row 1 1 x8+1=9 Row 2 12 x 8 + 2 =98 Row 3 123 x 8 + 3 = 987 1. The fifth row of the pattern will be A. 1 234 X 8 + 4=9876 B. 1 234 x 8 + 5 = 9876 C. 12 345 x 8 + 4 =9876 D. 12 345 x 8 + 5 =987652. If the number 8 in the pattern above is replaced by the number 9 as shown below, describe a pattern that could be used to calculate the value of row 7. Row 1 1x9+1= Row 2 12 x 9+ 2 = Row 3 123 x 9 + 3 = Use the following information to answer the next question. In the popular Sudoku Puzzle the objective is to fill a 9x9 grid with digits so that each column, each row, and each of the nine 3x3 sub-grids that compose the grid contain all of the digits from 1 to 9. A partially completed Sudoku puzzle is shown below. 8 4 6 7 4 C 6 15 5 9 3 7 8 4 7 B 4 8 2 3 5 2 9 3 9 2 5 3. The statement that is false is: A. B is the number 2. B. B is the number 5. C. C can be the numbers 8 or 9. D. C cannot be the numbers 1 or 5.Use the following information to answer the next question. 4 8 Which of the hexagons below will continue the above sequence? A. B. C. D.Use the following information to answer the next question. The goal of a particular puzzle is to fill the circles in a grid with the letters A, B. C, and D so that no letters are repeated in any row, column, or set of connected circles. The three entries in the grey circles were given to start the puzzle. Jerome has already completed three entries shown in the white circles, but he has made an error. QOC B O 5. a. Identify the error that Jerome made in his solution to the puzzle.Use the following information to answer the next question. A geometric pattern is presented below. In this pattern, the lower left square is unknown. SE 7. Which of the following could be in the lower left square to complete the geometric pattern shown above? A. B. C. D.Use the following information to answer the next question. A pattern of pictures is shown below. The first picture is the original. In each subsequent picture, each shaded square has stayed in the same place or moved to a square horizontally, vertically. or diagonally adjacent to its previous location. The shaded square undergoes the same movement in each subsequent step. 6-5 Which of the following pictures is next in the pattern? B. D.Use the following information to answer question 5. Four girls - Alice, Brenda, Cathy, Dianna - attended a recreation centre in a large city. Each girl participated in a different activity - Weight Training, Skating, Jogging, Swimming - and each girl owns a backpack of a different colour - Blue, Pink, Green, Red. The four clues below provide information about the activity in which each girl participated and the colour of each girl's backpack. Cathy does not have a red backpack and needed to dress warmly for her activity. . The swimmer who owned the red backpack was not Brenda. . The girl who carried the green backpack was jogging. . While preparing for her jog, Dianna watched her friend take her skates out of her blue backpack. Weight Skating Jogging Swimming Blue Pink | Green Red Training Alice Brenda Cathy Dianna Blue Pink Green Red . 5. Determine the activity and backpack colour for each girl.Use the following information to answer numerical-response question 7. A student makes the following statement. "VOTE compares to VETO as the number 8570 compares to the number Numerical Response 7- The 4-digit number that completes the statement above is Use the following information to answer question 8. 9. &Six marbles are identical in size, shape, and colour, but one of them is heavier than the others. If you are able to use a balance scale, shown below, only two times, then how could you determine which marble is heavier than the others