Division with remainders Transitional Reasoning Download PDF

Questions

1. 1.

   An agricultural rover inspects a greenhouse by moving along a circular track connecting 11 research stations numbered sequentially from 1 to 11. The rover starts at Station 1 at 08:00 and advances to the next numbered station every minute, returning to Station 1 immediately after passing Station 11. If the rover travels continuously for 278 minutes without stopping, at which research station will it finish its journey?

   • A) Station 3
   • B) Station 4
   • C) Station 5
   • D) Station 8
2. 2.

   A warehouse supervisor needs to pack 350 identical items into shipping crates that hold exactly 16 items each, and only completely full crates may be shipped. Any leftover items can either be stored in the warehouse at a holding fee of $5 per item, or additional items can be taken from a reserve supply at$12 each to pack one final full crate. How much money does the supervisor save by completing the final crate from the reserve supply instead of paying the holding fee to store the leftover items?

   • A) $24
   • B) $34
   • C) $46
   • D) $70
3. 3.

   A youth club coordinator has 158 game tokens to place on activity tables. In the morning, the tokens are divided equally among 12 tables, and any leftover tokens that cannot make another equal share are placed into a storage box. In the afternoon, 3 additional tables are set up, and all 158 tokens are collected and redistributed equally among all available tables. How many more leftover tokens are placed into the storage box in the afternoon than in the morning?

   • A) 6
   • B) 3
   • C) 8
   • D) 2
4. 4.

   A baker prepares 215 mini muffins for a weekend market. She packs as many full boxes as possible, with each box holding exactly 8 muffins, and sells each full box for $6. Any remaining muffins that cannot fill a complete box are sold individually for$1 each. If all the full boxes and leftover muffins are sold, what is the total amount of money the baker collects?

   • A) $156
   • B) $161
   • C) $169
   • D) $163
5. 5.

   A school organizes a field trip for 146 students and teachers. Passenger vans are rented for the trip, and each van can safely seat up to 9 passengers. How many vans are needed in total to transport everyone, and how many empty seats will remain in the last van?

   • A) 16 vans, with 2 empty seats
   • B) 16 vans, with 7 empty seats
   • C) 17 vans, with 7 empty seats
   • D) 17 vans, with 2 empty seats