Understand the idea.
Choose from the story
Decide what the story is asking before choosing an operation. Multiply when the number of equal groups and their size are known. Divide when the total is known and either the group size or group count is missing.
For a two-digit group size, split each group into easier parts. Three packets of fourteen counters contain three tens and three fours. Add to find counters altogether.
Interpret the answer
Division can also use a useful split. Share cards among four players by sharing first, then . Each player gets from the first part and from the second, for cards.
A leftover changes how you state the answer. Twenty-three children can make four full teams of five, with three left. If every child needs a team of up to five, those three need a smaller fifth team. Read which question is asked.
See the method in action.
Find a larger total
A garden has 3 rows with 16 plants in each. How many plants are there?
Worked solution
- 1
Write the equal-group calculation.
There are three rows and sixteen plants in every row.
- 2
Split each row into ten and six plants.
This split includes all sixteen plants in each row.
- 3
Count each part across three rows.
The ten-plant and six-plant parts are each repeated three times.
- 4
Add the plant totals.
The garden contains forty-eight plants altogether.
48 plants.
Deal with a leftover
There are 27 pencils. Each full pot holds 4. How many full pots can be filled, and how many pencils remain?
Worked solution
- 1
Find the largest possible number of full pots.
Six pots use no more than twenty-seven pencils, but seven full pots need too many.
- 2
Find the pencils not used in full pots.
Six full pots use twenty-four of the twenty-seven pencils.
- 3
Check the grouping and leftover.
The three remaining pencils cannot fill another pot, so there are six full pots and three left.
6 full pots and 3 pencils left.
Try it yourself.
Check your understanding
Find the total in 4 boxes of 13 counters.
Show answer & reasoning
52 counters.
Split each box into counters. Four tens make and four threes make , so counters.
Keep practising
6 worksheet questions
Read the questions online
- There are 3 bags with 12 shells in each. How many shells altogether?
- Four players share 48 cards equally. How many cards does each get?
- A theatre has 5 rows with 14 seats in each row. How many seats are there?
- Sixty crayons are packed into 5 equal boxes. How many crayons go in each box?
- Twenty-nine biscuits are packed into bags of 5. How many full bags are made? How many biscuits remain?
- Twenty-nine biscuits must all be packed. A bag can hold at most 5. What is the smallest number of bags needed?
Read the worked solutions
- There are 3 bags with 12 shells in each. How many shells altogether?
.
36 shells. - Four players share 48 cards equally. How many cards does each get?
and ; .
12 cards. - A theatre has 5 rows with 14 seats in each row. How many seats are there?
.
70 seats. - Sixty crayons are packed into 5 equal boxes. How many crayons go in each box?
.
12 crayons. - Twenty-nine biscuits are packed into bags of 5. How many full bags are made? How many biscuits remain?
; .
5 full bags and 4 biscuits. - Twenty-nine biscuits must all be packed. A bag can hold at most 5. What is the smallest number of bags needed?
Five bags hold only 25. A sixth bag holds the remaining 4.
6 bags.
Curriculum reference & lesson scope
Australian Curriculum v9 / SA Curriculum Mathematics
Tables 2, 3, 4, 5 and 10; linked division; arrays; one-/two-digit problems.
Official curriculum source ↗