Problem 1
A teacher has 56 counters and shares them equally into 8 trays. How many counters go in each tray?
Answer: 7 counters
- Division is used because the counters are shared equally.
- Write the division sentence: 56 ÷ 8.
- 56 ÷ 8 = 7.
How to explain it: The word equally is one of the clearest division clues a child can learn.
Problem 2
A sports shop packs 54 tennis balls into tubes of 6 balls each. How many full tubes can be made?
Answer: 9 tubes
- This is grouping division, not sharing.
- We ask how many groups of 6 fit into 54.
- 54 ÷ 6 = 9.
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 72 cookies and packed them into boxes of 7. How many full boxes can be made, and how many cookies are left over?
Answer: 10 full boxes and 2 cookies left over
- Divide the total cookies by the box size: 72 ÷ 7.
- 7 fits into 72 exactly 10 times.
- That uses 70 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 7 children at a time. If 72 children need a ride, how many trips are needed?
Answer: 10.285714285714286 trips
- The group size is 7 children per trip.
- We need to know how many groups fit into 72.
- 72 ÷ 7 = 10.285714285714286.
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 9 beads per bracelet. If there are 72 beads in the tub, how many bracelets can be made?
Answer: 8 bracelets
- Each bracelet needs 9 beads.
- Find how many groups of 9 are in 72.
- 72 ÷ 9 = 8.
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 56 pencils. They are shared equally among 6 classrooms. How many pencils does each classroom get?
Answer: 9.333333333333334 pencils
- This is equal sharing.
- Divide the total by the number of classrooms: 56 ÷ 6.
- 56 ÷ 6 = 9.333333333333334.
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 54 juice bottles and places 8 bottles on each table. How many tables can be set?
Answer: 6.75 tables
- Each table gets the same number of bottles: 8.
- Find how many groups of 8 can be made from 54.
- 54 ÷ 8 = 6.75.
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 72 stickers and wants to give 7 stickers to each child. How many children can get full sticker sets, and how many stickers remain?
Answer: 10 children and 2 stickers remain
- Divide the total stickers by the stickers per child: 72 ÷ 7.
- 10 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 72 kilometres in 7 equal stages. How many kilometres are in each stage?
Answer: 10.285714285714286 kilometres
- The total distance is 72 kilometres.
- It is split into 7 equal stages.
- 72 ÷ 7 = 10.285714285714286.
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 9 sheets into one booklet. If there are 54 sheets ready, how many booklets can be made?
Answer: 6 booklets
- We know the group size is 9 sheets per booklet.
- Divide the total sheets by the group size: 54 ÷ 9.
- 54 ÷ 9 = 6.
How to explain it: Use the words group size and number of groups often. They make division thinking much more visible.