Division with remainders Transitional Reasoning Practice

Questions

1. 1.

   A conference hall hosts 251 attendees for a seminar. The hall is arranged with tables that seat up to 8 attendees each, and the organizers initially fill tables with 8 attendees each until the remaining attendees cannot fill another whole table. Because hall policy requires at least 5 attendees to justify opening an additional table, the remaining attendees are distributed one by one to existing tables, so that each of those tables seats 9 attendees. After all 251 attendees are seated, how many tables seat exactly 8 attendees?

   • A) 28
   • B) 31
   • C) 29
   • D) 3
2. 2.

   A circular running track is divided into 6 equal consecutive sections labeled Zone 1 through Zone 6 in clockwise order, so that Zone 1 immediately follows Zone 6. Each zone has a length of exactly 75 meters, and a runner starts at the very beginning of Zone 1 and runs clockwise for a total of 1,600 meters. In which zone does the runner finish the workout?

   • A) Zone 3
   • B) Zone 4
   • C) Zone 5
   • D) Zone 2
3. 3.

   A community orchard harvested 419 kilograms of apples. The apples are packed into crates that each hold exactly 9 kilograms, and only completely filled crates are sold for $25 each. Any remaining kilograms of apples that cannot fill a whole crate are used to make fresh cider, which earns$4 per kilogram. What is the total amount earned from all the harvested apples?

   • A) $1,150
   • B) $1,165
   • C) $1,170
   • D) $1,185
4. 4.

   An outdoor adventure camp has 230 campers. Campers are first organized into full rafting teams of 8 members each until no more full teams of 8 can be made. Any remaining campers are then placed into full kayaking teams of 4 members each, and any camper still left over assists the camp leader. If each rafting team requires 2 adult guides, each kayaking team requires 1 adult guide, and assisting the camp leader requires no guides, how many adult guides are needed in total?

   • A) 29
   • B) 53
   • C) 58
   • D) 57
5. 5.

   A craft club has 178 wooden beads to make necklaces, where each necklace requires exactly 8 beads. The club decides to make as many complete necklaces as possible and then purchase just enough extra beads so that the leftover beads can also form one more complete necklace. How many extra beads does the club need to purchase?

   • A) 2
   • B) 4
   • C) 22
   • D) 6

Answers and step-by-step solutions appear after you finish the test.