Math Practice Problems for Fourth Grade in Logic

4L-18)  Answer: Erica=turkey gravy, Kayla=corn dog, Josh=chicken, Nathan=green salad

Erica, Kayla, Josh, and Nathan each had a favorite school lunch.  One of them likes turkey gravy the best, one prefers corn dogs, one favors green salads, and one likes chicken burgers.  Kayla does not like sandwiches.  Nathan does not eat meat.  Erica loves turkey.  Which lunch does each student like the best? Write to help explain your best thinking using words, numbers, or pictures.

4L-17) Answer: most: chocolate mint or peanut butter; least: sugar cookies

Betsy's Girl Scout troop sold cookies. They sold more chocolate mint cookies than sugar cookies. They sold more peanut butter cookies than sugar cookies. Which kind of cookie did they sell the most? Which kind of cookie did they sell the least?  Write to help explain your best thinking using words, numbers, or pictures.

4L-16) Answer: David

Henry is two years older than Sarah. David is three years younger than Henry.  Who is the youngest?  Write to help explain your best thinking using words, numbers, or pictures.

4L-15) Answer: 62

Mrs. White teaches P.E. She had her students space themselves evenly around a circle and then count off. Student number 16 is directly opposite number 47. How many students are in Mrs. White's class? Write to help explain your best thinking using words, numbers, or pictures.

4L-14) 

Becky needed 2 liters of chili to serve at the party. When she went to the school kitchen to get it there was a lot of chili but only a 5 liter and an 8 liter container. How could she get the 2 liters she needs for the party?  Write to help explain your best thinking using words, numbers, or pictures.

4L-13) Answer: 2B Þ 1B stays; 1B back; Man crosses alone; 1B back; 2B cross

Two boys weighing 100 pounds each and a man weighing 200 pounds wish to cross a river. Their boat will hold only 200 pounds safely. How can they cross the river in the boat?  Write to help explain your best thinking using words, numbers, or pictures.

4L-12) Answer: five

Every Blip is a Blop. Half of all Blops are Blips. Half of all Bleeps are Blops. There are 30 Bleeps and 20 Blops. All Blips are Bleeps. How many Blops are neither Blips nor Bleeps?  Write to help explain your best thinking using words, numbers, or pictures.

4L-11) Answer: at least one event-34; opera only-9; only the game-19

The number of persons going to a certain Trailblazer game is 25. The number of persons attending the opera is 15. Six persons attend both. How many persons are attending at least one event? How many are only going to the opera? How many only attend the game?  Write to help explain your best thinking using words, numbers, or pictures.

4L-10) Answer: 14

There were 12 third-grade children and 14 second-grade children on the playground. Nine of the third-graders went back to class. How many second-graders are now on the playground?  Write to help explain your best thinking using words, numbers, or pictures.

4L-9) Answer: 1^st-Lee; 2^nd-Alex; 3^rd-Rachel

In the big race, Lee finished ahead of Alex. Rachel finished after Alex. Which came in first? Who came in second? Who came in third?  Write to help explain your best thinking using words, numbers, or pictures.

4L-8) Answer: Larry-golf; Bailey-soccer; Sydney-lacrosse; Gerald-basketball

Larry, Bailey, Sydney, and Gerald are all trying out for different team sports; basketball, soccer, golf, and lacrosse. The first letter of each person’s name is not the first letter of the their sport. Larry will be out of town the entire month of December, and cannot play a winter sport. Bailey’s sport does not require any equipment other than the ball. Sydney is trying out to be the goalie.  Write to help explain your best thinking using words, numbers, or pictures.

4L-7) Answer: xxox / oxxx / xxxo / xoxx

Tyrone and Will are playing a game. Each player has a paper with a square on it, and some markers. The square is divided into 4 columns across and 4 rows down. The object of the game is to be the first player to put 12 markers in the 12 boxes so that each row and each column has a total of 3 markers in it. Show how you can do this.  Write to help explain your best thinking using words, numbers, or pictures.

4L-6) Answer: Sean-Lee-Dina / Jiro-Elsa-Cam

Erin was on Pine Lane, trying to remember where each of her six new friends lived: Sean, Jiro, Lee, EIsa, Dina, and Cam. She knew they lived across from each other in the first three houses on each side of the street. She remembered that Sean lived in the first house directly across the street from Jiro and next door to Lee. She also remembered that EIsa lived next door to Jiro and on the same side of the street as Cam. Where did each friend live?  Write to help explain your best thinking using words, numbers, or pictures.

4L-5) Answer: Mary-bus; Jose-walks; Philip-bicycle; Theresa-ferryboat

Mary, Jose, Philip, and Theresa come to school in different ways. One rides a bicycle, one comes by bus, one rides on a ferryboat, and one walks. Theresa crosses a river to get to school. Jose doesn't ride to school. Mary sits next to her sister on the way to school. In what way does each child come to school?  Write to help explain your best thinking using words, numbers, or pictures.

4L-4) Answer: 2

"How many of you went shopping?" asked Mr. Top as he looked at all the packages his children had brought home. Susi giggled and said, "Let's see. Your daughter; your son, a basketball player, a football player; a sister; and a brother." Mr. Top smiled and said, "You mean six of you went shopping?" Susi giggled again. What is the least number of Mr. Top's children that could have gone shopping?  Write to help explain your best thinking using words, numbers, or pictures.

4L-3) Answer: Mario

Mario, Julie, Andrea, and Elmer were the only skaters on the ice rink, so they had a race. They raced around the rink and back to the starting place. Elmer came in 5 seconds after Julie. Andrea came in 5 seconds after Elmer. Mario came in 11 seconds before Andrea. Julie finished in 20 seconds. Who won the race?  Write to help explain your best thinking using words, numbers, or pictures.

4L-2) Answer: Daniel-hot soup; Ben-tuna sandwich; Martin-salad; Julie-peanut butter sandwich

Mr. Lewis packs lunches for his children every day. Today he made four different lunches: a tuna sandwich, hot soup, a peanut butter sandwich, and a salad. Daniel does not like a cold lunch. Ben chose the tuna sandwich. Martin did not choose a sandwich, but Julie did. Which lunch did each child take?  Write to help explain your best thinking using words, numbers, or pictures.

4L-1) Answer: Martha (winner), Sue, Tom, Bill

At the end of a game, Martha was 30 points ahead of Sue. Bill was 25 points behind Tom. Sue was 15 points ahead of Tom. Who won the game? In what order did the other players finish? Write to help explain your best thinking using words, numbers, 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 4L" and include the answer.