Mastering Integer Word Problems: Remainders & Sharing!

A farmer has 120 apples. He wants to pack them into boxes that hold 8 apples each. How many full boxes can he pack, and how many apples will be left over?

• 14 full boxes and 2 apples left over

• 16 full boxes and 1 apple left over

• 15 full boxes and 0 apples left over

• 12 full boxes and 4 apples left over

Lily has 45 marbles. She gives 7 marbles to each of her 5 friends. How many marbles does she have left after giving them away?

• 15

• 25

• 20

• 10

A school has 250 students. If each class can have 30 students, how many full classes can be formed, and how many students will be left without a class?

• 6 full classes and 20 students left without a class.

• 7 full classes and 15 students left without a class.

• 8 full classes and 10 students left without a class.

• 9 full classes and 5 students left without a class.

Tom read 75 pages of a book. If he reads 12 pages each day, how many full days will it take him to finish the book, and how many pages will he have left on the last day?

• 4 days, 15 pages left

• 5 days, 5 pages left

• 6 days, 3 pages left

• 7 days, 0 pages left

A baker made 200 cookies. If he wants to pack them into boxes of 12 cookies each, how many full boxes can he fill, and how many cookies will remain?

• 15 full boxes and 10 cookies remain

• 14 full boxes and 12 cookies remain

• 16 full boxes and 8 cookies remain

• 17 full boxes and 6 cookies remain

Sarah has 90 stickers. She wants to share them equally among her 8 friends. How many stickers will each friend get, and how many stickers will Sarah have left?

• Each friend gets 9 stickers, and Sarah has 3 stickers left.

• Each friend gets 11 stickers, and Sarah has 2 stickers left.

• Each friend gets 12 stickers, and Sarah has 6 stickers left.

• Each friend gets 10 stickers, and Sarah has 10 stickers left.

A library has 350 books. If each shelf can hold 25 books, how many full shelves can be filled, and how many books will be left over?

• 14 full shelves and 10 books left over

• 14 full shelves and 0 books left over

• 15 full shelves and 5 books left over

• 13 full shelves and 5 books left over

During a game, a player scored 157 points. If each round of the game is worth 15 points, how many full rounds did the player complete, and how many points did they score in the last round?

• 10 full rounds and 7 points in the last round

• 9 full rounds and 12 points in the last round

• 11 full rounds and 2 points in the last round

• 8 full rounds and 17 points in the last round

A toy store has 500 toys. If they want to display them in groups of 20, how many full groups can they create, and how many toys will be left over?

• 25 full groups, 0 toys left over

• 20 full groups, 10 toys left over

• 24 full groups, 5 toys left over

• 26 full groups, 10 toys left over

In a concert, there are 1,200 seats. If each row has 30 seats, how many full rows can be filled, and how many seats will be left empty?

• 38 full rows and 20 empty seats

• 41 full rows and 5 empty seats

• 39 full rows and 10 empty seats

• 40 full rows and 0 empty seats