Math Practice Problems for Sixth Grade Logic

6P-15) Answer: Grandfather-lumber mill; Father-railroader; Uncle-conservationist; Cousin-author; Grandmother-mayor; Mother-antique dealer; Aunt-dairy farmer

While working on her family tree, Bonnie discovered some members of her family were involved in interesting occupations. Bonnie's cousin, aunt, uncle, mother, father, grandmother, and grandfather are a mayor, dairy farmer, antique dealer, author, conservationist, railroader, and a lumber mill worker. ü The mayor is married to the man who runs the lumber mill. ü Ruth runs the dairy farm in Wisconsin. ü Jerry is Nancy's mother. ü The author is the niece of the railroader. ü The lady who sells antiques is the daughter of the mayor and the wife of the railroader. ü Father is not a conservationist. And he does not run a lumber mill.  Explain in detail how you found your answer using words, numbers, and/or pictures.

6P-14) Answer: Mack-grandfather; Pearl-grandmother; Eugene-uncle; Jack-father; Maxine-mother; Nancy-cousin; Judy-aunt

While working on her family tree, Bonnie mixed up some of the names. From what she knows, however, she is sure she can put them back in the correct order. Mack, Pearl, Eugene, Jack, Maxine, Nancy, and Judy are Bonnie's cousin, aunt, uncle, mother, father, grandmother, and grandfather. ü Bonnie knows her mother is Maxine. ü Jack and Eugene are brothers. ü Nancy is Judy's daughter ü Pearl is the mother of the two sisters. ü Maxine never met Eugene.  Explain in detail how you found your answer using words, numbers, and/or pictures.

6P-13) Answer: Bonnie Oct.25^th; Tonia July 22^nd; Keith Aug 22^nd; Randy April 3^rd; Marcia Dec.9^th; Jack Dec.4^th; Maxine Nov.27^th; Kathy Oct 31^st

Bonnie, Tonia, Keith, Randy, Jack, Maxine, Marcia, and Kathy have birthdays on November 27, December 4, October 25, August 22, April 3, December 9, July 22, and October 31. Match them. ü Tonia always went swimming at the river on her birthday. ü Maxine's birthday is exactly a week before Jack's. ü The trees are turning beautiful colors on Bonnie's birthday. ü Everyone celebrates on Kathy's birthday. ü Keith's birthday is exactly one month after Tonia's. ü Marcia's birthday is celebrated last.  Explain in detail how you found your answer using words, numbers, and/or pictures.

6P-12) Answer: 1^st Eagles Kevin; 2^nd Tigers Matthew; 3^rd Wildcats Steve; 4^th Indians David

Kevin, David, Matthew, and Steve, whose teams are the Eagles, the Wildcats, the Indians, and the Tigers, recently placed 1st, 2nd, 3rd, and 4th in the basketball tournament. Use the clues below to match the players, teams, and how they placed in the tournament. ü The Wildcats placed ahead of David's team but behind the Tigers. ü Matthew thinks his team could have placed higher with a little more effort. ü The Eagles scored ahead of Matthew's team and Matthew's team placed ahead of Steve's. ü Kevin is not a Tiger.  Explain in detail how you found your answer using words, numbers, and/or pictures.

6P-11) Answer: Kendra Langley - cinnamon sticks; Laura Dotzler - ginger; Serena Staimes - honeysuckle; Traci Hidalgo - sage leaves; Cheryl Baz - rose petals; Lisa Andrews - lemon peels

Kendra, Laura, Serena, Traci, Cheryl, and Lisa, whose last names are Dotzler, Baz, Andrews, Langley, Staimes, and Hidalgo, are collecting the following items to make a potpourri:  rose petals, ginger, honeysuckle blossoms, sage leaves, lemon peels, and a cinnamon stick. Sniff your way through the clues to see what each girl contributed. ü Kendra and Dotzler went to the store to see if they could purchase spices. ü Serena and Baz and Traci went to a neighbor's garden to collect blossoms and leaves. ü Andrews has to find lemon peels. ü The girl looking for cinnamon and Dotzler collected their ingredients before any of the others. ü Hidalgo has to cut her leaves in half ü Cheryl and Staimes had to dry their blossoms. ü Baz pricked her finger on a thorn while gathering flowers. Laura and Lisa found a Band-Aid for her. ü Lisa, the person with ginger, and the person with honeysuckle all three live in the country ü Serena and Hidalgo are cousins.  Explain in detail how you found your answer using words, numbers, and/or pictures.

6P-10) Answer: Mr. Sanchez

Each member of the Sanchez family always sits in the same place at dinner. The Sanchez children are Juan, Isabel, Maria, and Ramon. Mrs. Sanchez sits opposite Mr. Sanchez. Juan sits opposite Maria. Ramon sits on Mr. Sanchez's right. Maria sits on Mrs. Sanchez's left. Who sits to the right of Juan?  Explain in detail how you found your answer using words, numbers, and/or pictures.

6P-9) Answer: Akiko-yellow; Betty-blue; Clara-white; Eve-green

Five girls were walking to the park. They were all wearing blouses of different colors. Akiko, Betty, Clara, Dana, and Eve wore blouses that were red, green, glue, white and yellow. Clara doesn't own a green blouse. Dana hates the colors green and yellow. Betty's blouse was either red or blue. Akiko's blouse was neither green nor white. Clara walked between the girl with the yellow blouse and the girl with the blue blouse. Dana's blouse was red. What color blouse did each of the other girls wear?  Explain in detail how you found your answer using words, numbers, and/or pictures.

6P-8) Answer: Gary-Carol; Bob-Sue; Dan-Jeanette; Frank-Arlene

Four married couples went to the theater last week. The wives' names were Carol, Sue, Jeanette, and Arlene. The husbands' names were Dan, Bob, Gary, and Frank. Bob and Jeanette are brother and sister. Jeanette and Frank were once engaged, but they broke up when Jeanette met her husband. Arlene has a brother and a sister, but her husband is an only child. Carol is married to Gary. Who is married to whom?  Explain in detail how you found your answer using words, numbers, and/or pictures.

6P-7) Answer: Adam, Laurie, Scott, Allen

Laurie, Allan, Scott, and Adam all entered their pet frogs in a distance-jumping contest. Laurie's frog finished ahead of Allen's, but was not first. Scott's frog finished behind Laurie's, but was not last. In what order did the frogs finish?  Explain in detail how you found your answer using words, numbers, and/or pictures.

6P-6) Answer: Myra-yellow; Nancy-blue; Orville-red

Myra, Nancy, and Orville each brought their lunch to school in a metal lunchbox. One lunchbox was blue with one cookie inside, one was yellow with two cookies inside, and one was red with three cookies inside. Which lunchbox belongs to which child? (1) Myra had more cookies than Nancy (2) Orville's lunchbox is not blue. (3) The yellow lunchbox belongs to a girl.  Explain in detail how you found your answer using words, numbers, and/or pictures.

6P5) Answer: Ruiz-electrician; Johnson-plumber; Lee-grocer

The electrician, plumber, and grocer in a small town are Ruiz, Johnson, and Lee. Lee lives next door to the plumber. The electrician is Lee's daughter. Ruiz and the plumber were on the school debating team back in high school. Which job does each person have?  Explain in detail how you found your answer using words, numbers, and/or pictures.

6P-4) Answer: order: lions, tigers, monkeys, foxes

There are four animal cages along a straight path at the zoo: the monkeys, the lions, the tigers, and the foxes. The monkeys are between the tigers and the foxes. The tigers are between the lions and the monkeys. The lions are first. Sketch the path and show the four cages.  Explain in detail how you found your answer using words, numbers, and/or pictures.

6P-3) Answer: child #8 & #10

There were 10 children standing in a straight line. The 5th child switched places with the 8th child. Then the 8^th child switched places with the 10^th child. Finally, the l0th child switched places with the 5th child. Which of the children are not standing in the same place as when they started?  Explain in detail how you found your answer using words, numbers, and/or pictures.

6P-2) Answer: Roger won the calculator, Sally won the book, and Tom won the ruler

There were three prizes given at the Arithmetic Contest: a calculator, a book, and a ruler. The winners were Roger, Sally, and Tom. 1. Tom did not win the calculator. 2. Sally won the book. Who won each prize?  Explain in detail how you found your answer using words, numbers, and/or pictures.

6P-1)

Mort said that he has more coins than his sister, Ruth. So, he has more money than she does. Is he right? Why or why not?  Explain in detail how you found your answer using words, numbers, and/or pictures.

Share a problem (thank you) to add to this list and submit to:   donna_buck@pasd.wednet.edu Please title the subject "Problems for 6P" and include the answer.