A R M X A M 2. S V O R F N S V M R X P V O M R 4. S B W I L T V M S X Z I Y L M X 6. H R O E V I Z T X S O L I R M V X 0 8. X L K K V I X F T L O W Z F 10. L C B T V M L

฀ ฀ Mathematical Reasoning 121 Copyright © 2009 by John W iley Sons, Inc. 232. Can you retrace the illustration below by starting at “A” and ending at “B” without retracing any line already drawn or crossing any lines? A B 233. Four of the images below can be created without lifting your pencil, or intersecting or retracing any lines. Which illustration is the odd one out? 1 2 3 4 5 234. What comes next in this sequence? B C D E F G H I I B C D E F G H a. b. OO c. J J d. A A ฀ ฀ 122 Math Puzzles and Brainteasers, Grades 6–8 Just for Fun: Frame Game 235. Find the hidden word or phrase. GAMES FRAME © 2009 Terry Stickels E T D I ฀ ฀ Mathematical Reasoning 123 Copyright © 2009 by John W iley Sons, Inc. 236. Can you draw two squares inside the square below so each goldfish has its own separate area to swim in? 237. The letters in the five squares are positioned in a logical, sequential manner so they will fall into place in the blanks below the squares. The sentence has 25 letters and starts with an “S” and ends with an “R.” M E H T O R U S I E B M I E Y M S T R — — — — — — — — — — — — — — — — — — — — — — — — — S R. S E E T A F 238. How many squares of any size can be found in this illustration? ฀ ฀ 124 Math Puzzles and Brainteasers, Grades 6–8 Copyright © 2009 by John W iley Sons, Inc. 239. The letters in and around the triangles are placed in a logical manner so they spell out a simple sentence. What is the missing letter in the last triangle, and what is the sentence? U Z P Z L S A E R E T R A I ? 240. There are four boxes labeled W, X, Y, and Z. W and Z are the same size. W can fit inside X, and Y can fit inside Z. Knowing this, which one of the following statements is true for certain? a. Z cannot fit inside X. b. X can fit inside Z. c. X cannot fit inside Y. d. W can fit inside Y. 241. This figure can be divided by two straight lines into parts that will fit together in a certain way to make a perfect square. Show where the two lines have to be drawn so those two parts can be moved and placed on the figure to make a square. All angles are 90˚. 9 8 11 10 1 12 2 3 4 5 6 7 ฀ ฀ Mathematical Reasoning 125 Copyright © 2009 by John W iley Sons, Inc. 242. How many times do the sides or faces only no edges of a block touch the sides or faces of other blocks? Each block has its own count toward the total. Each block is the same size and has six total faces or sides. Do not count edges that touch D I J E A M C B F G K L N H Example: Block A touches B, D and M. Example: Block J touches I and K. Example: Block C touches M, B, and F. ฀ ฀ 126 Math Puzzles and Brainteasers, Grades 6–8 Copyright © 2009 by John W iley Sons, Inc. 243. In this puzzle, called a “squared square,” squares of different sizes are contained within one big square. This puzzle has many versions. Some, involving rectangles and triangles, are equally as fun. The goal is to find out the sizes of the squares with the question marks. By comparing length of lines you already know, you can make some deductions to find out the sizes that are missing. Each number stands for the length of the sides in that square. 99 ? 77 2 1 43 ? 41 ? 9 34 ? ฀ ฀ Mathematical Reasoning 127 Just for Fun: Frame Game 244. Find the hidden word or phrase. GAMES FRAME © 2009 Terry Stickels vvvvviiiiissssiiiitttttt