Rounding Transitional Reasoning Practice

Questions

1. 1.

   A bakery packages three types of cookies into holiday crates: 546 vanilla cookies, 287 cinnamon cookies, and an unknown number of ginger cookies. When the count of each cookie type is rounded to the nearest ten, the sum of the three estimates is 1,260. However, when the actual total count of all three types combined is rounded to the nearest hundred, the result is 1,200. What is the greatest possible number of ginger cookies in the crate?

   • A) 416
   • B) 417
   • C) 420
   • D) 424
2. 2.

   A wildlife reserve assigns four-digit identification tags to endangered sea turtles. A biologist notes that a turtle's tag number rounds to 2,500 when rounded to the nearest hundred, but rounds to 3,000 when rounded to the nearest thousand. If the tag number is a multiple of 5, how many different numbers could this tag be?

   • A) 20
   • B) 11
   • C) 9
   • D) 10
3. 3.

   A quality control analyst records the whole-number masses of two production batches, Batch X and Batch Y, before combining them into a single cargo container. The mass of Batch X rounds to 3,600 kg when rounded to the nearest hundred, while the mass of Batch Y rounds to 2,140 kg when rounded to the nearest ten. What is the positive difference between the greatest possible combined mass and the least possible combined mass of the cargo container?

   • A) 90 kg
   • B) 100 kg
   • C) 110 kg
   • D) 108 kg
4. 4.

   A school librarian is preparing an inventory report for three new book deliveries. Shipment A contains 346 books, Shipment B contains 284 books, and Shipment C contains 415 books. The librarian calculates a first estimate by rounding each shipment to the nearest hundred before adding them, and a second estimate by rounding each shipment to the nearest ten before adding them. What is the positive difference between the second estimated total and the first estimated total?

   • A) 30 books
   • B) 40 books
   • C) 50 books
   • D) 60 books
5. 5.

   During a community recycling drive, volunteers sorted plastic bottles into collection bins. The coordinator noted that the total count of collected bottles rounds to 4,800 when rounded to the nearest hundred, and rounds to 4,830 when rounded to the nearest ten. If the ones digit of the total count is an odd number, what is the greatest possible number of plastic bottles collected?

   • A) 4,829
   • B) 4,833
   • C) 4,835
   • D) 4,849

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