Mathematical Fun, Games and Puzzles by Jack Frohlichstein

By Jack Frohlichstein

This interesting textual content, built through a math instructor, makes use of puzzles and video games to introduce the fundamental rules and operations of mathematics. Following the normal center tuition curriculum, the booklet provides 418 difficulties and one hundred twenty illustrations that cover a variety of subject matters: averages, fractions, decimals, possibilities, powers, roots, and extra. Puzzles diversity from effortless to tricky.

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This happens only when the units digits are 9 and 1. Example: 3 1 9 1 8 1 x3 9 x9 9 x8 9 9·0 0 9 1 209 7 209 Check by long multiplication. 5 Average Here is a quick way to multiply by 11 - you can do it in your mind. You can also multiply 11 by any number of digits; however, the greater the digit, the more difficult to do mentally. Let's start with an easy one, multiplying 11 by a two-digit number: WHOLE NUMBERS 47 The answer will most likely consist of three digits. To get the units digit in the answer, merely copy the same units digit in the other factor of the multiplication problem (other than 11).

However, the quizzer surprises the listeners by asking how many stops the elevator made after starting from the ground floor. Or, he might ask how many floors were skipped, how many were stopped at, or the total floors covered by the elevator. Or, ifhe mentions the elevator operator's name in relating the story, he might ask the others what the elevator operator's name was. (See Answers to Games, p. ) 34 MATHEMATICAL FUN, GAMES AND PUZZLES Average 6. This game is played by two people. Put 20 dots on the blackboard or on paper.

The tic-tac~ toe nine square dia- - - - - - . use. d 7 gram IS A goes first, using a 7. ) Numbers 1, 3, 5, and 9 are left. WHOLE NUMBERS 27 A blocks B by using I and pre~K= vents ~is using - --2- - - 7 - 6 on hls next - 7 turn and scoring. B places a 2, leaving 4, 6, - - - - -2- 8. B plays a 6. 6 ~ 271 + A plays a 5 in -6- --5the middle - - - - -7square. B plays an 8 e 1 However, A can~ --5--2still play his 9 -6--2to stop A from6 - - --7scoring. - - - - - 7 - and make 15 diagonally. Therefore A wins.

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