Math Practice Problems for Fifth Grade in Logic

5L-10) Answer: CPTnBTk / TkTnCPB / PTkBTnC / BCPTkTn / TnBTkCP

Tod and Pat set up the display case of toys for sale. The display case had 5 columns and 5 rows. They put 5 cars, 5 planes, 5 trains, 5 trucks, and 5 boats in the case. The store manager told them to be sure to have 5 different things in each column and each row. How did they set up the display?  Write to help explain your best thinking using words, numbers, or pictures.

5L-9) Answer: Blaine-goat; Deanna-llama; Trevor-chicken; Ann-snake

Blaine, Trevor; Deanna, and Ann all love animals and they each have one of these animals for a pet: a snake, a llama, a chicken, and a goat. Blaine hates snakes. Deanna has a pet that can carry a pack, and Trevor likes fresh eggs for breakfast. Can you match the people with their pets?  Write to help explain your best thinking using words, numbers, or pictures.

5L-8) Answer: Ralph-gymnastics, Iris-track, Ben-high-jump, Manine-swimming

Iris, Maxine, Ben, and Ralph were dreaming about competing in the Olympics in track, swimming, the high jump, and gymnastics. Iris is the fastest runner at school, and Ralph hates water. When Ben goes to school, he jumps over the gate instead of going through it. Which Olympic sport do you think each of the kids would choose?  Write to help explain your best thinking using words, numbers, or pictures.

5L-7) Answer: Toby-mountains, Gene-farm, Pepe-boat, Lloyd-circus

Lloyd, Toby, Pepe, and Gene were talking one day about where they would like to live: a farm, a boat, a mountain cabin, and with a circus. Toby hates to travel. Pepe loves the ocean, and Gene loves to plant things and watch them grow. Which place to live do you think each person would choose?  Write to help explain your best thinking using words, numbers, or pictures.

5L-6) Answer: 39^th day

Fred is a magician who loves flowers. He has part of a field planted with flowers that keeps doubling in size every day. From the time that the first flower appears until the field is covered takes about 40 days. On what day is the field half covered?  Write to help explain your best thinking using words, numbers, or pictures.

5L-5) Answer: James, Tye, Maria, Rick, Bob

Bob, Tye, Maria, James, and Rick are all different ages. Maria is older than Bob and younger than Tye. James is older than Tye. Rick is older than Bob and younger than Maria. List the names of the five people, from oldest to youngest.   Write to help explain your best thinking using words, numbers, or pictures.

5L-4) Answer: Derick-trumpet; Lisa-piano; Curt-drums; Sue-clairinet

Derek, Lisa, Curt, and Sue are brothers and sisters. Each plays one of the following instruments: piano, drums, clarinet, and trumpet. Derek's brother does no use his mouth when playing his instrument. One of Derek's sisters plays the clarinet. Lisa is glad she will never have to march in a parade playing her instrument. Which instrument does each play?  Write to help explain your best thinking using words, numbers, or pictures.

5L-3) Answer: 3 socks

You have 8 white socks and 8 blue socks in your drawer. You reach in without looking and pull out one sock at a time. What is the fewest number of socks you would need to take out to be sure you got a matching pair? Explain.  Write to help explain your best thinking using words, numbers, or pictures.

5L-2) Answer: Teams D, B, A, C

At the end of the track meet Team A had 5 points less than Team B. Team D had 15 points more than Team A. Team B had 15 points more than Team C. What was the order of finish?  Write to help explain your best thinking using words, numbers, or pictures.

5L-1) Answer: 4 minutes

It takes 4 carpenters 4 minutes to nail 4 boards in place. At this rate, how long will it take 80 carpenters to nail 80 boards in place?  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 5L" and include the answer.