Apply Remainders in Real-World Word Problems

1) A class of 25 students sits in rows of 4. How many are left over in the last row?

0

3

1

2

25 ÷ 4 = 6 remainder 1. That means 6 full rows and 1 student left.

Explanation

25 ÷ 4 = 6 remainder 1. That means 6 full rows and 1 student left.

2) A baker makes 50 muffins and puts them into boxes of 6. How many are left over?

3

2

4

5

50 ÷ 6 = 8 remainder 2. So 2 muffins don’t fit.

Explanation

50 ÷ 6 = 8 remainder 2. So 2 muffins don’t fit.

3) 100 apples are shared equally among 9 baskets. How many remain?

0

3

1

2

100 ÷ 9 = 11 remainder 1. One apple is left over.

Explanation

100 ÷ 9 = 11 remainder 1. One apple is left over.

4) A bus seats 45 people. If 200 people are waiting, how many won't fit on full buses?

5

20

25

30

200 ÷ 45 = 4 remainder 20. Four buses hold 180, so 20 people remain.

Explanation

200 ÷ 45 = 4 remainder 20. Four buses hold 180, so 20 people remain.

5) A farmer has 73 eggs and packs them in cartons of 12. How many remain unpacked?

2

1

5

7

73 ÷ 12 = 6 remainder 1. One egg doesn’t fit.

Explanation

73 ÷ 12 = 6 remainder 1. One egg doesn’t fit.

6) 64 pencils are divided among 7 students. What is the remainder?

0

1

2

3

64 ÷ 7 = 9 remainder 1. One pencil is left.

Explanation

64 ÷ 7 = 9 remainder 1. One pencil is left.

7) 95 books are placed evenly on 8 shelves. How many books are left over?

7

8

9

10

95 ÷ 8 = 11 remainder 7. Seven books remain.

Explanation

95 ÷ 8 = 11 remainder 7. Seven books remain.

8) A baker bakes 123 cookies and packs them in boxes of 10. How many are left?

1

3

5

7

123 ÷ 10 = 12 remainder 3. Three cookies don’t fit.

Explanation

123 ÷ 10 = 12 remainder 3. Three cookies don’t fit.

9) 250 candies are divided into bags of 12. What is the remainder?

8

10

12

11

250 ÷ 12 = 20 remainder 10. Ten candies are left.

Explanation

250 ÷ 12 = 20 remainder 10. Ten candies are left.

10) 99 chairs are arranged in rows of 8. How many chairs are left in the last row?

2

3

5

7

99 ÷ 8 = 12 remainder 3. Three chairs are leftover.

Explanation

99 ÷ 8 = 12 remainder 3. Three chairs are leftover.

11) A class of 44 lines up in groups of 5. How many students are in the leftover group?

2

4

5

6

44 ÷ 5 = 8 remainder 4. Four students remain.

Explanation

44 ÷ 5 = 8 remainder 4. Four students remain.

12) 320 oranges are put into baskets of 9. What is the remainder?

4

5

6

7

320 ÷ 9 = 35 remainder 5. Five oranges are left.

Explanation

320 ÷ 9 = 35 remainder 5. Five oranges are left.

13) A runner completes laps of 6 miles each. If she runs 50 miles, how far is the extra lap?

2 miles

3 miles

4 miles

5 miles

50 ÷ 6 = 8 remainder 2. The runner covers 2 miles into the next lap.

Explanation

50 ÷ 6 = 8 remainder 2. The runner covers 2 miles into the next lap.

14) 145 marbles are packed into jars of 12. How many marbles are left over?

10

1

2

3

145 ÷ 12 = 12 remainder 1. One marble doesn’t fit.

Explanation

145 ÷ 12 = 12 remainder 1. One marble doesn’t fit.

15) 81 players form teams of 9. How many are left over?

0

1

2

3

81 ÷ 9 = 9 remainder 0. All players fit perfectly.

Explanation

81 ÷ 9 = 9 remainder 0. All players fit perfectly.

16) How many are left when 250 pencils are grouped in packs of 24?

10

11

12

13

250 ÷ 24 = 10 remainder 10. Ten pencils don’t fit.

Explanation

250 ÷ 24 = 10 remainder 10. Ten pencils don’t fit.

17) A teacher passes out 200 crayons into groups of 18. What is the remainder?

10

11

2

5

200 ÷ 18 = 11 remainder 2. Two crayons are left.

Explanation

200 ÷ 18 = 11 remainder 2. Two crayons are left.

18) 73 papers are stapled into booklets of 8 pages. How many pages are left unused?

3

1

2

5

73 ÷ 8 = 9 remainder 1. One page is unused.

Explanation

73 ÷ 8 = 9 remainder 1. One page is unused.

19) A fruit seller divides 350 apples into boxes of 24. How many are left?

12

14

15

16

350 ÷ 24 = 14 remainder 14. Fourteen apples remain.

Explanation

350 ÷ 24 = 14 remainder 14. Fourteen apples remain.

20) A bakery sells bread in packs of 7. If 60 loaves are made, how many remain unpacked?

4

5

6

7

60 ÷ 7 = 8 remainder 4. Four loaves remain.

Explanation

60 ÷ 7 = 8 remainder 4. Four loaves remain.

Applying Remainders in Word Problems

1) A class of 25 students sits in rows of 4. How many are left over in the last row?

2) A baker makes 50 muffins and puts them into boxes of 6. How many are left over?

3) 100 apples are shared equally among 9 baskets. How many remain?

4) A bus seats 45 people. If 200 people are waiting, how many won't fit on full buses?

5) A farmer has 73 eggs and packs them in cartons of 12. How many remain unpacked?

6) 64 pencils are divided among 7 students. What is the remainder?

7) 95 books are placed evenly on 8 shelves. How many books are left over?

8) A baker bakes 123 cookies and packs them in boxes of 10. How many are left?

9) 250 candies are divided into bags of 12. What is the remainder?

10) 99 chairs are arranged in rows of 8. How many chairs are left in the last row?

11) A class of 44 lines up in groups of 5. How many students are in the leftover group?

12) 320 oranges are put into baskets of 9. What is the remainder?

13) A runner completes laps of 6 miles each. If she runs 50 miles, how far is the extra lap?

14) 145 marbles are packed into jars of 12. How many marbles are left over?

15) 81 players form teams of 9. How many are left over?

16) How many are left when 250 pencils are grouped in packs of 24?

17) A teacher passes out 200 crayons into groups of 18. What is the remainder?

18) 73 papers are stapled into booklets of 8 pages. How many pages are left unused?

19) A fruit seller divides 350 apples into boxes of 24. How many are left?

20) A bakery sells bread in packs of 7. If 60 loaves are made, how many remain unpacked?