Problem 1
A teacher has 110 counters and shares them equally into 11 trays. How many counters go in each tray?
Answer: 10 counters
- Division is used because the counters are shared equally.
- Write the division sentence: 110 ÷ 11.
- 110 ÷ 11 = 10.
How to explain it: The word equally is one of the clearest division clues a child can learn.
Problem 2
A sports shop packs 108 tennis balls into tubes of 9 balls each. How many full tubes can be made?
Answer: 12 tubes
- This is grouping division, not sharing.
- We ask how many groups of 9 fit into 108.
- 108 ÷ 9 = 12.
How to explain it: Ask whether the problem is sharing items out or making groups. That helps children picture the division correctly.
Problem 3
A baker made 132 cookies and packed them into boxes of 10. How many full boxes can be made, and how many cookies are left over?
Answer: 13 full boxes and 2 cookies left over
- Divide the total cookies by the box size: 132 ÷ 10.
- 10 fits into 132 exactly 13 times.
- That uses 130 cookies, leaving 2 cookies.
How to explain it: Remainders only make sense when you ask what the leftovers mean in the story.
Problem 4
A minibus can carry 10 children at a time. If 132 children need a ride, how many trips are needed?
Answer: 13.2 trips
- The group size is 10 children per trip.
- We need to know how many groups fit into 132.
- 132 ÷ 10 = 13.2.
How to explain it: This is a good example of grouping division in real life: how many equal trips are needed?
Problem 5
A bracelet kit has 12 beads per bracelet. If there are 132 beads in the tub, how many bracelets can be made?
Answer: 11 bracelets
- Each bracelet needs 12 beads.
- Find how many groups of 12 are in 132.
- 132 ÷ 12 = 11.
How to explain it: Children often multiply when they see two numbers in a story. Ask if we are building groups or counting how many groups exist.
Problem 6
A school bought 110 pencils. They are shared equally among 9 classrooms. How many pencils does each classroom get?
Answer: 12.222222222222221 pencils
- This is equal sharing.
- Divide the total by the number of classrooms: 110 ÷ 9.
- 110 ÷ 9 = 12.222222222222221.
How to explain it: Sharing questions work well with quick drawings of boxes or circles to show each group.
Problem 7
A camp leader has 108 juice bottles and places 11 bottles on each table. How many tables can be set?
Answer: 9.818181818181818 tables
- Each table gets the same number of bottles: 11.
- Find how many groups of 11 can be made from 108.
- 108 ÷ 11 = 9.818181818181818.
How to explain it: The phrase on each table tells you the group size. That usually means division if the total is already known.
Problem 8
A teacher has 132 stickers and wants to give 10 stickers to each child. How many children can get full sticker sets, and how many stickers remain?
Answer: 13 children and 2 stickers remain
- Divide the total stickers by the stickers per child: 132 ÷ 10.
- 13 full groups can be made.
- The leftover amount is 2.
How to explain it: This is a great way to show that remainders are not random. They are what cannot form another full group.
Problem 9
A runner completes 132 kilometres in 10 equal stages. How many kilometres are in each stage?
Answer: 13.2 kilometres
- The total distance is 132 kilometres.
- It is split into 10 equal stages.
- 132 ÷ 10 = 13.2.
How to explain it: Equal parts over time or distance still use division. The unit changes, but the structure does not.
Problem 10
A printer can staple 12 sheets into one booklet. If there are 108 sheets ready, how many booklets can be made?
Answer: 9 booklets
- We know the group size is 12 sheets per booklet.
- Divide the total sheets by the group size: 108 ÷ 12.
- 108 ÷ 12 = 9.
How to explain it: Use the words group size and number of groups often. They make division thinking much more visible.