Problem 1
A teacher has 30 counters and shares them equally into 6 trays. How many counters go in each tray?
Answer: 5 counters
- Division is used because the counters are shared equally.
- Write the division sentence: 30 ÷ 6.
- 30 ÷ 6 = 5.
How to explain it: The word equally is one of the clearest division clues a child can learn.
Problem 2
A sports shop packs 28 tennis balls into tubes of 4 balls each. How many full tubes can be made?
Answer: 7 tubes
- This is grouping division, not sharing.
- We ask how many groups of 4 fit into 28.
- 28 ÷ 4 = 7.
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 42 cookies and packed them into boxes of 5. How many full boxes can be made, and how many cookies are left over?
Answer: 8 full boxes and 2 cookies left over
- Divide the total cookies by the box size: 42 ÷ 5.
- 5 fits into 42 exactly 8 times.
- That uses 40 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 5 children at a time. If 42 children need a ride, how many trips are needed?
Answer: 8.4 trips
- The group size is 5 children per trip.
- We need to know how many groups fit into 42.
- 42 ÷ 5 = 8.4.
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 7 beads per bracelet. If there are 42 beads in the tub, how many bracelets can be made?
Answer: 6 bracelets
- Each bracelet needs 7 beads.
- Find how many groups of 7 are in 42.
- 42 ÷ 7 = 6.
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 30 pencils. They are shared equally among 4 classrooms. How many pencils does each classroom get?
Answer: 7.5 pencils
- This is equal sharing.
- Divide the total by the number of classrooms: 30 ÷ 4.
- 30 ÷ 4 = 7.5.
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 28 juice bottles and places 6 bottles on each table. How many tables can be set?
Answer: 4.666666666666667 tables
- Each table gets the same number of bottles: 6.
- Find how many groups of 6 can be made from 28.
- 28 ÷ 6 = 4.666666666666667.
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 42 stickers and wants to give 5 stickers to each child. How many children can get full sticker sets, and how many stickers remain?
Answer: 8 children and 2 stickers remain
- Divide the total stickers by the stickers per child: 42 ÷ 5.
- 8 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 42 kilometres in 5 equal stages. How many kilometres are in each stage?
Answer: 8.4 kilometres
- The total distance is 42 kilometres.
- It is split into 5 equal stages.
- 42 ÷ 5 = 8.4.
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 7 sheets into one booklet. If there are 28 sheets ready, how many booklets can be made?
Answer: 4 booklets
- We know the group size is 7 sheets per booklet.
- Divide the total sheets by the group size: 28 ÷ 7.
- 28 ÷ 7 = 4.
How to explain it: Use the words group size and number of groups often. They make division thinking much more visible.