Step-by-step Maths Level 2: Finding the change
Part of the Step-by-step Maths Level 2 money chapter. Chapter overview · whole chapter on one page
Finding the change
When you pay more than the price, you get change back.
Count on from the price to the amount you paid. The money you count on is the change.
Key ideas
- Change is the money you get back.
- Count on from the price to the amount paid.
- Check: price + change = amount paid.
Method. Count on from the price to the amount paid. The steps you count are the change.
- Start at the price, 35p. That is what the item costs.35p
- Count on to 50p. The steps you count are the change.35p + 15p = 50p
- Write the change. This is the money you get back.15p
Check. 35p and 15p together make 50p.
Watch out. Change is the money you get back, not the price of the item.
Method. Count on from the price to the amount paid. The steps you count are the change.
- Start at the price, 45p. That is what the item costs.45p
- Count on to £1. The steps you count are the change.45p + 55p = £1
- Write the change. This is the money you get back.55p
Check. 45p and 55p together make £1.
Watch out. Change is the money you get back, not the price of the item.
Method. Count on from the price to the amount paid. The steps you count are the change.
- Start at the price, 12p. That is what the item costs.12p
- Count on to 20p. The steps you count are the change.12p + 8p = 20p
- Write the change. This is the money you get back.8p
Check. 12p and 8p together make 20p.
Watch out. Change is the money you get back, not the price of the item.
Watch out
Watch out. Change is not the price. If it costs 35p and you pay 50p, the change is 15p, not 35p.
Exam tip
Grown-up tip. Play shop with real coins. One person buys, the other gives the change by counting on.
Exercise 8E Practice: finding change
Non-calculatorMethod. Count on from the price to the amount paid. The steps you count are the change.
- Start at the price, 46p. That is what the item costs.46p
- Count on to 50p. The steps you count are the change.46p + 4p = 50p
- Write the change. This is the money you get back.4p
Check. 46p and 4p together make 50p.
Watch out. Change is the money you get back, not the price of the item.
Method. Count on from the price to the amount paid. The steps you count are the change.
- Start at the price, 47p. That is what the item costs.47p
- Count on to £2. The steps you count are the change.47p + £1.53 = £2
- Write the change. This is the money you get back.£1.53
Check. 47p and £1.53 together make £2.
Watch out. Change is the money you get back, not the price of the item.
Method. Count on from the price to the amount paid. The steps you count are the change.
- Start at the price, 10p. That is what the item costs.10p
- Count on to 50p. The steps you count are the change.10p + 40p = 50p
- Write the change. This is the money you get back.40p
Check. 10p and 40p together make 50p.
Watch out. Change is the money you get back, not the price of the item.
Method. Count on from the price to the amount paid. The steps you count are the change.
- Start at the price, 8p. That is what the item costs.8p
- Count on to 50p. The steps you count are the change.8p + 42p = 50p
- Write the change. This is the money you get back.42p
Check. 8p and 42p together make 50p.
Watch out. Change is the money you get back, not the price of the item.
Method. Count on from the price to the amount paid. The steps you count are the change.
- Start at the price, 13p. That is what the item costs.13p
- Count on to 50p. The steps you count are the change.13p + 37p = 50p
- Write the change. This is the money you get back.37p
Check. 13p and 37p together make 50p.
Watch out. Change is the money you get back, not the price of the item.
Method. Count on from the price to the amount paid. The steps you count are the change.
- Start at the price, 15p. That is what the item costs.15p
- Count on to 20p. The steps you count are the change.15p + 5p = 20p
- Write the change. This is the money you get back.5p
Check. 15p and 5p together make 20p.
Watch out. Change is the money you get back, not the price of the item.
Method. Count on from the price to the amount paid. The steps you count are the change.
- Start at the price, £1.15. That is what the item costs.£1.15
- Count on to £2. The steps you count are the change.£1.15 + 85p = £2
- Write the change. This is the money you get back.85p
Check. £1.15 and 85p together make £2.
Watch out. Change is the money you get back, not the price of the item.
Method. Count on from the price to the amount paid. The steps you count are the change.
- Start at the price, 70p. That is what the item costs.70p
- Count on to £2. The steps you count are the change.70p + £1.30 = £2
- Write the change. This is the money you get back.£1.30
Check. 70p and £1.30 together make £2.
Watch out. Change is the money you get back, not the price of the item.
Method. Count on from the price to the amount paid. The steps you count are the change.
- Start at the price, 5p. That is what the item costs.5p
- Count on to 20p. The steps you count are the change.5p + 15p = 20p
- Write the change. This is the money you get back.15p
Check. 5p and 15p together make 20p.
Watch out. Change is the money you get back, not the price of the item.
Method. Count on from the price to the amount paid. The steps you count are the change.
- Start at the price, 20p. That is what the item costs.20p
- Count on to 50p. The steps you count are the change.20p + 30p = 50p
- Write the change. This is the money you get back.30p
Check. 20p and 30p together make 50p.
Watch out. Change is the money you get back, not the price of the item.
Method. Count on from the price to the amount paid. The steps you count are the change.
- Start at the price, 85p. That is what the item costs.85p
- Count on to £2. The steps you count are the change.85p + £1.15 = £2
- Write the change. This is the money you get back.£1.15
Check. 85p and £1.15 together make £2.
Watch out. Change is the money you get back, not the price of the item.
Method. Count on from the price to the amount paid. The steps you count are the change.
- Start at the price, 27p. That is what the item costs.27p
- Count on to 50p. The steps you count are the change.27p + 23p = 50p
- Write the change. This is the money you get back.23p
Check. 27p and 23p together make 50p.
Watch out. Change is the money you get back, not the price of the item.
Method. Count on from the price to the amount paid. The steps you count are the change.
- Start at the price, 32p. That is what the item costs.32p
- Count on to £1. The steps you count are the change.32p + 68p = £1
- Write the change. This is the money you get back.68p
Check. 32p and 68p together make £1.
Watch out. Change is the money you get back, not the price of the item.
Method. Count on from the price to the amount paid. The steps you count are the change.
- Start at the price, £1.40. That is what the item costs.£1.40
- Count on to £2. The steps you count are the change.£1.40 + 60p = £2
- Write the change. This is the money you get back.60p
Check. £1.40 and 60p together make £2.
Watch out. Change is the money you get back, not the price of the item.
Method. Count on from the price to the amount paid. The steps you count are the change.
- Start at the price, 47p. That is what the item costs.47p
- Count on to 50p. The steps you count are the change.47p + 3p = 50p
- Write the change. This is the money you get back.3p
Check. 47p and 3p together make 50p.
Watch out. Change is the money you get back, not the price of the item.
Method. Count on from the price to the amount paid. The steps you count are the change.
- Start at the price, 85p. That is what the item costs.85p
- Count on to £1. The steps you count are the change.85p + 15p = £1
- Write the change. This is the money you get back.15p
Check. 85p and 15p together make £1.
Watch out. Change is the money you get back, not the price of the item.