Complex Percentage Trading
This topic covers 5 learning steps, guiding your child from the basics through to confident problem-solving. Each step includes a worked example and adaptive practice questions.
What Your Child Will Learn
- Find Any Percentage of a Price
Calculate any percentage of a given price - Percentage Profit
Calculate profit as a percentage - Percentage Loss
Calculate loss as a percentage - Successive Discounts
Apply multiple percentage changes in sequence - Challenge — Complex Trading Scenarios
Multi-step percentage trading problems
Before This Topic
Your child should be comfortable with:
Common Mistakes
- Confusing percentage profit/loss with the actual money amount (e.g. saying "I made 20% profit" when they actually mean "I made £20")
Percentage profit and cash profit are different things. £20 profit on a £100 item is 20% profit. £20 profit on a £200 item is only 10% profit. Percentages tell you the rate, not the amount. - Calculating percentage change from the wrong base figure (using the new amount instead of the original)
Percentage change = (change ÷ original) × 100. Always divide by the ORIGINAL (starting) amount. If you bought for £40 and sold for £50, the profit is £10 and the percentage profit is (10 ÷ 40) × 100 = 25%.
Tips for Parents
- Create scenarios with buying and selling: "You buy a bike for £120 and sell it for £150. What is the profit? What is the percentage profit?"
- Compare deals: "Shop A offers 30% off £80. Shop B offers £25 off £80. Which gives the better deal?" Work it out together.
- Use real examples from online shopping: "This item was £60, now £45. What percentage discount is that?"
- Discuss mark-ups: "A shop buys trainers for £40 and sells them for £60. What percentage profit does the shop make?"
Key Words
- Mark-up — The amount added to the cost price to get the selling price.
- Percentage change — The change expressed as a percentage of the original: (change ÷ original) × 100.
- Profit margin — The percentage of the selling price that is profit.
- Break even — When selling price equals cost price — no profit and no loss.
- Revenue — The total money received from selling — before subtracting costs.
Where This Fits
Before this topic: Children should calculate percentage increase and decrease, and understand simple profit and loss.
After this topic: Complex trading concepts lead to financial literacy, compound interest, and proportional reasoning in secondary school maths and real life.
How MathCraft Teaches This
In MathCraft, Complex Percentage Trading is taught through the Money, Data & Measure adventure track. Your child follows guided lessons with friendly characters, works through examples step by step, then practises with questions that adapt to their level.
The adaptive engine tracks mastery across all 5 steps, revisiting concepts your child finds tricky and advancing when they're ready. Parents can see detailed progress in the Parent Dashboard.
Practise Complex Percentage Trading with MathCraft
Step-by-step lessons, worked examples, and adaptive practice — all wrapped in an adventure game your child will love.
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