Lesson Worksheet: Interpreting Remainders Mathematics • 4th Grade

In this worksheet, we will practice interpreting remainders in division problems when we divide a two-digit number by a one-digit number.

Q1:

Complete the sentence: If π‘Ž is divisible by 𝑏, the remainder of π‘Žπ‘ is equal to .

Q2:

40 dancers are training for a competition. To enter, they must be in teams of 7. How many teams can enter the competition?

Q3:

How many 20-centimeter-long tiles do I need to buy to make a row of tiles that is 170 cm long?

  • A8
  • B20
  • C7
  • D10
  • E9

Q4:

40 athletes need transport to a sports competition. Each vehicle can hold 9 athletes. How many vehicles are needed?

Q5:

Each table in the cafeteria has space for 8 students. Ethan wants to know how many tables are needed for 77 students. He knows that when you divide 77 by 8 you get 9 and a remainder of 5.

How many tables are needed?

Did you round the remainder up or down to find the answer?

  • Aup
  • Bdown

Why?

  • ABecause you need a table for the 5 students that are left over.
  • BBecause the remainder is an even number.
  • CBecause if the remainder is equal to or greater than 5, we have to round up.
  • DBecause you do not need any additional tables.
  • EBecause the remainder is an odd number.

Q6:

A ribbon is 73 cm long. It is going to be cut into 12-centimeter-long pieces.

First, calculate 73Γ·12.

  • A7
  • B6 R 1
  • C6
  • D1 R 6
  • E12 R 1

State how many 12 cm pieces can be cut from the ribbon.

How long is the piece of ribbon that is left at the end?

Q7:

31 pens will be equally distributed among 4 children. Find the maximum number of pens each child can receive and the number of remaining pens.

  • A8 pens each, 4 remain
  • B7 pens each, 4 remain
  • C8 pens each, 3 remain
  • D7 pens each, 3 remain

Q8:

Noah wants to take his friends to the theater. He has $80 and each ticket costs $9. We are going to work out how many tickets he can buy.

Which calculation will help us answer this question?

  • A80+9=89
  • B80βˆ’9=71
  • C9Γ·80=980
  • D80Γ·9=8𝑅8
  • E80Γ·9β‰…9

To find the number of tickets he can buy, should we ignore the remainder or round it up?

  • AIgnore it
  • BRound it up

Why?

  • ABecause the remainder is greater than $5 and enough to buy an extra ticket
  • BBecause the remainder is less than $9 and not enough to buy an extra ticket
  • CBecause the remainder is less than $80 and not enough to buy an extra ticket
  • DTo buy one more ticket
  • EBecause the remainder is an even number

Q9:

Hannah is making cubes by gluing together 6 squares. She has 46 squares and wants to know how many cubes she can make. She knows that when you divide 46 by 6 you get 7 and a remainder of 4.

How many cubes can she make?

Did you round the remainder up or down to find the answer?

  • Aup
  • Bdown

Why?

  • ABecause if the remainder is less than 5 we have to round down.
  • BBecause the remainder is an odd number.
  • CBecause the 4 squares that remain will not make a complete cube.
  • DBecause the remainder is an even number.
  • EBecause the 4 squares that remain will make a complete cube.

Q10:

A farmer packs eggs in boxes of 6. Today, his hens have laid 35 eggs. How many boxes can he fill completely?

This lesson includes 14 additional questions and 62 additional question variations for subscribers.

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