About the Counting Money Practice
This counting money practice tool helps children (and adults learning a new currency) get fluent with real coins and notes. The interactive panel deals out a random handful of money to count, or a shop price and payment to make change from, and checks the answer instantly. Choose US dollars, British pounds, euros or Canadian dollars, and pick a level: coins only, coins plus small notes, or any denomination.
Below the game, the change calculator works out exactly how much change is due and the fewest coins and notes to hand back — useful for checking homework, running a classroom shop or teaching cashier skills. A seeded practice question generator produces repeatable worksheet questions with answers for teachers.
Canada stopped distributing the penny in 2013, so Canadian cash totals are rounded to the nearest 5 cents (amounts ending in 1, 2, 6 or 7 cents round down; 3, 4, 8 or 9 round up). Rounding is applied only to cash and can be switched off. US $2 bills, half-dollars, dollar coins and the €500 note exist but are rarely handled, so they are left out.
With the default inputs, the change due is $1.53. Change any value above to recalculate instantly.
How to use the counting money practice
- 1Choose the currency you want to practise.
- 2In the game, pick “Count the money” or “Make change” and a level.
- 3Type your answer and press Check — you will see the correct total and the fewest coins.
- 4Use the change calculator below to check any price and payment.
- 5Teachers: switch to “Generate a counting question” and use seeds for repeatable worksheets.
Formula and method
All amounts are converted to whole cents (or pence) so there are no rounding errors. Change is the amount paid minus the price. The fewest-pieces breakdown uses the greedy method: hand back as many of the largest coin or note as fit, subtract, and repeat with the next smaller one. For the US, UK, euro and Canadian coin systems this greedy method always gives the minimum number of pieces.
For Canadian dollars, cash prices are first rounded to the nearest 5 cents, the rule used since the penny stopped being distributed. Practice questions draw coins and notes at random from the chosen level using a seeded generator, and the answer is the sum of their values.
- Change
- Amount paid minus the (cash) price
- n
- How many of a given coin or note to hand back
Worked examples
$3.47 item paid with a $5 bill
$5.00 − $3.47 = $1.53. Largest first: one $1 bill leaves 53¢, two quarters leave 3¢, and three pennies finish it — six pieces. Counting up aloud: “$3.48, $3.49, $3.50, $3.75, $4.00, $5.00.”
£7.37 paid with a £20 note
£20 − £7.37 = £12.63, made from a £10 note, a £2 coin, 50p, 10p, 2p and 1p: six pieces, one of each.
Canadian cash rounding
Paying cash in Canada, $3.47 rounds down to $3.45 (amounts ending in 7 cents round down to 5). The change is $1.55: a loonie, two quarters and a nickel.
€18.76 paid with a €50 note
€50 − €18.76 = €31.24: a €20 and a €10 note, a €1 coin, a 20-cent coin and two 2-cent coins.
Level 2 counting question
Level 2 always deals seven coins or notes worth up to 10 each; the seed fixes which ones so the same worksheet question can be printed again.
Frequently asked questions
How do you teach a child to count money?+
Start with coin names and values, then sort a handful into piles of the same coin and count the biggest pile first, skip-counting (25, 50, 75 for quarters; 10, 20, 30 for dimes). Move to mixed coins, then notes, then making change.
How do you count back change?+
Start from the price and count up to the amount paid using the smallest coins first: for a $3.47 item paid with $5, say “3.48, 3.49, 3.50” with pennies, “3.75, 4.00” with quarters and “5” with a dollar bill.
What is the fewest number of coins for change?+
Give the largest coin or note that fits, subtract it, and repeat. For US, UK, euro and Canadian money this greedy method always gives the minimum number of pieces. For 63 cents in the US that is two quarters, a dime and three pennies.
How does rounding work in Canada without pennies?+
Only cash totals are rounded, to the nearest 5 cents: totals ending in 1 or 2 cents round down to 0, 3 or 4 round up to 5, 6 or 7 round down to 5, and 8 or 9 round up to the next 10. Card payments are charged to the exact cent.
At what age do kids learn to count money?+
Under the US Common Core, second graders solve word problems with dollar bills, quarters, dimes, nickels and pennies (standard 2.MD.C.8). England’s national curriculum has pupils recognise coins and notes in Year 1, combine amounts and give simple change in Year 2, and give change using both £ and p in Year 3.
Which coins and notes are included?+
Common circulating money: US $1–$100 bills and pennies to quarters; UK 1p–£2 coins and £5–£50 notes; euro 1-cent to €2 coins and €5–€200 notes; Canadian nickels to toonies and $5–$100 notes. Rarely used pieces like half-dollars are omitted.