# Worksheet: Remainders

In this worksheet, we will practice interpreting remainders of a division operation between two numbers and using that to solve word problems.

Q1:

Complete the sentence: If is divisible by , the remainder of 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:

A soap factory has received an order for 474 bars of soap. They package the soap into boxes, each of which can hold 45 bars of soap. Will all the boxes be full?

• Ano
• Byes

Q4:

Is the remainder when is divided by 18, zero?

• Ayes
• Bno

Q5:

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

• A 10
• B 8
• C 7
• D 9
• E 20

Q6:

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

Q7:

Each table in the cafeteria has space for 8 students. Karim 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?

• A11
• B9
• C8
• D10
• E5

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

• Aup
• Bdown

Why?

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

Q8:

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

First, calculate .

• A1 R 6
• B12 R 1
• C7
• D6 R 1
• E6

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?

Q9:

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

Q10:

Shady 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?

• A
• B
• C
• D
• E

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 an even number
• Bto buy one more ticket
• Cbecause the remainder is less than \$9 and not enough to buy an extra ticket
• Dbecause the remainder is greater than \$5 and enough to buy an extra ticket
• Ebecause the remainder is less than \$80 and not enough to buy an extra ticket

Q11:

Mariam 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?

• A4
• B8
• C6
• D7
• E9

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

• Bup

Why?

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

Q12:

It takes Fares 40 minutes to paint a clay model. How many models can he finish painting in 3 hours?

Q13:

A teacher has 22 pencils that they want to share equally between four children. What is the maximum number of pens each child will receive (some pens might be left over).

Q14:

If , what is the value of ?

• A0
• B1
• C
• D
• E

Q15:

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

Q16:

Complete the given table using the example given.

Division Relation between the Elements of Division 2 9 รท 1 0 6 7 รท 9 2 9 = 2 ร 1 0 + 9 6 7 = โฏ ร โฏ + โฏ
• A7, 9, 5
• B8, 9, 4
• C7, 10, 4
• D7, 9, 4

Q17:

A boy has and wants to buy some toys. Each toy costs . Can he buy 2 toys?

• AYes
• BNo

Q18:

Mariam has mixed 74 litres of paint. How many 3-litre cans can she fill completely?

• A 74
• B 25
• C 3
• D 24
• E23

Q19:

Farida has made 740 millilitres of strawberry jam and 570 millilitres of raspberry jam. She is going to put the jam into jars to sell. Each jar must hold 200 millilitres, and the jams cannot be mixed. How many jars of jam can she fill?

Q20:

23 people are going on vacation together. They are going to rent cars that seat 7 people each.

First, calculate .

• A4
• B3
• C2 R 3
• D3 R 2
• E2 R 9

How many cars do they need?

How many people will be in the car that is NOT full?

Q21:

There are in a circle. How many angles are in a circle?

Q22:

10 children want to play a game. They need to be in teams of 2. Find how many teams of 2 there will be and whether any child will be left out.

• A5 teams, one will be left out
• B4 teams, no one will be left out
• C4 teams, one will be left out
• D5 teams, no one will be left out

Q23:

Sarah wants to buy a toy that costs \$63. She has saved \$32 so far and each week she saves \$10. How many weeks does she still have to wait until she can buy the toy?

Q24:

Is the remainder when is divided by 11, zero?

• Ayes
• Bno