Remainders and Order of Operations in Math Challenges

A bakery made 120 cookies. If they pack them into boxes of 8 cookies each, how many boxes can they fill and how many cookies will be left over?

• 16 boxes, 1 cookie left over

• 12 boxes, 4 cookies left over

• 14 boxes, 2 cookies left over

• 15 boxes, 0 cookies left over

A farmer has 250 apples. He wants to divide them equally among 5 baskets. After filling the baskets, he decides to give 3 apples to each of his 4 friends. How many apples does he have left?

• 0

• 10

• 15

• 20

A school is organizing a field trip for 150 students. If each bus can hold 30 students, how many buses are needed? If there are 2 extra students, how many students will be left without a seat?

• No students will be left without a seat.

• 2 students will be left without a seat.

• 1 student will be left without a seat.

• 3 students will be left without a seat.

A toy store has 450 toys. They sell 75 toys each day. How many days will it take to sell all the toys, and how many toys will be left after 5 days?

• It will take 10 days to sell all the toys, and there will be 100 toys left after 5 days.

• It will take 6 days to sell all the toys, and there will be 75 toys left after 5 days.

• It will take 8 days to sell all the toys, and there will be 0 toys left after 5 days.

• It will take 5 days to sell all the toys, and there will be 150 toys left after 5 days.

A gardener has 96 plants. He wants to plant them in rows of 12. How many full rows can he plant, and how many plants will be left over?

• 7 full rows and 2 plants left over

• 9 full rows and 0 plants left over

• 6 full rows and 12 plants left over

• 8 full rows and 0 plants left over

A library has 1,200 books. If they donate 300 books to a local school and then organize the remaining books into groups of 25, how many groups can they make?

• 40

• 45

• 36

• 30

A pizza shop sells 240 slices of pizza in a day. If each customer buys 4 slices, how many customers can be served? If there are 5 slices left at the end of the day, how many customers were there?

• 62

• 60

• 56

• 58

A concert hall has 500 seats. If 320 tickets are sold, how many seats are still available? If 15 more tickets are sold, how many seats will be left?

• 165

• 150

• 200

• 180

A factory produces 1,000 toys in a week. If they increase production by 25% the next week, how many toys will they produce? If they sell 800 toys that week, how many will be left?

• 300

• 600

• 450

• 750

A sports team has 18 players. If they divide the players into teams of 6 for practice, how many teams can they form? If 2 players are absent, how many players will be left for practice?

• 2 teams can be formed; 17 players will be left for practice.

• 3 teams can be formed; 16 players will be left for practice.

• 3 teams can be formed; 15 players will be left for practice.

• 4 teams can be formed; 14 players will be left for practice.