Understand the idea.
Count the value
Count the value of each coin, rather than giving every coin a count of one dollar. A two-dollar coin counts as two dollars. Two one-dollar coins can be exchanged for one two-dollar coin because their total values match.
Notes can join the collection
Notes and coins can be counted together. Australian notes have values of five, ten, twenty, fifty and one hundred dollars. Starting with the largest value can help: a five-dollar note and two two-dollar coins make dollars.
See the method in action.
Count mixed coins
A purse has one 2-dollar coin and two 1-dollar coins. How much is in it?
Worked solution
- 1
Count the two-dollar coin first.
The value written on this coin is two dollars, although it is only one coin.
- 2
Add the two one-dollar coins.
Each smaller-value coin adds one dollar, making four dollars in the purse.
4 dollars.
Make the same amount
Show two ways to make 6 dollars using only 1-dollar and 2-dollar coins.
Worked solution
- 1
Use only two-dollar coins for one way.
Three coins worth two dollars each make six dollars.
- 2
Exchange one two-dollar coin for two one-dollar coins.
The exchange changes the coins but keeps their value the same.
- 3
Check the second collection.
Two two-dollar coins and two one-dollar coins also make six dollars.
For example, three 2-dollar coins; or two 2-dollar coins and two 1-dollar coins.
Try it yourself.
Check your understanding
What is the value of a 10-dollar note and a 2-dollar coin?
Show answer & reasoning
12 dollars.
Start with the ten-dollar note and add the two-dollar coin: dollars.
Keep practising
6 worksheet questions
Read the questions online
- How much are two 1-dollar coins worth?
- How much are four 2-dollar coins worth?
- Count a 5-dollar note, a 2-dollar coin and a 1-dollar coin.
- Count two 10-dollar notes and one 5-dollar note.
- Make 5 dollars using only 1-dollar and 2-dollar coins. Give one way.
- Ava has three 1-dollar coins. Ben has two 2-dollar coins. Who has more money, and by how much?
Read the worked solutions
- How much are two 1-dollar coins worth?
.
2 dollars. - How much are four 2-dollar coins worth?
Count .
8 dollars. - Count a 5-dollar note, a 2-dollar coin and a 1-dollar coin.
.
8 dollars. - Count two 10-dollar notes and one 5-dollar note.
.
25 dollars. - Make 5 dollars using only 1-dollar and 2-dollar coins. Give one way.
; other valid combinations are accepted.
For example, two 2-dollar coins and one 1-dollar coin. - Ava has three 1-dollar coins. Ben has two 2-dollar coins. Who has more money, and by how much?
Ava has 3 dollars; Ben has 4 dollars; .
Ben has 1 dollar more.
Curriculum reference & lesson scope
Australian Curriculum v9 and SA Curriculum Mathematics
Comparing prices; $1/$2 coins and notes; purchases; limited money and saving; needs/wants; consumer choices.
Official curriculum source ↗