Year 6 · Maths · Percentages · Lesson 3
Percentage problems
Solve percentage problems: sale prices, increases, writing one amount as a percentage of another, comparing, and reverse problems.
19-minute video lesson
Teaching, worked examples and 20 practice questions solved step by step.
Watch free for a monthWhat your child will learn
- Find sale prices
- Find increased prices
- Write an amount as a percentage
- Compare percentages of amounts
- Solve reverse percentage puzzles
The method
- What type of problem?
- Find the percentage amount.
- Add, subtract or compare.
- Answer with units.
Key words: discount, increase, percentage, sale, compare.
Worked examples
The first three practice questions from the lesson, with every step.
Question 1
A coat costs £60. It is reduced by 10% in a sale. What is the sale price?
- Step 1: 10% = £60 ÷ 10 = £6
- Step 2: £60 − £6 = £54
Answer: £54
Question 2
A game costs £80. It is reduced by 25% in a sale. What is the sale price?
- Step 1: 25% = a quarter: £80 ÷ 4 = £20
- Step 2: £80 − £20 = £60
Answer: £60
Question 3
A toy costs £36. It is reduced by 50% in a sale. What is the sale price?
- Step 1: 50% = half: £36 ÷ 2 = £18
- Step 2: £36 − £18 = £18
Answer: £18