Percentages of an Amount
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
- What Is a Percentage?
Understand percentages as parts of 100 - Find 10%, 25%, 50%
Calculate common benchmark percentages of amounts - Find Any Percentage
Use divide-by-100-then-multiply method - Multi-Step Percentage Problems
Combine percentage calculations in word problems - Challenge — Percentage Combos
Complex problems combining multiple percentages
Common Mistakes
- Thinking "percent" means "out of" a random number (not realising it always means "out of 100")
"Per cent" literally means "per hundred." 25% means 25 out of every 100. Connect this to fractions: 25% = 25/100 = 1/4. Use a 100-square grid to shade percentages. - Not being able to find 10% (the building block for most percentage calculations)
10% means dividing by 10. If your child can find 10% of any amount, they can build up to nearly any percentage: 20% = two lots of 10%, 5% = half of 10%, 15% = 10% + 5%.
Tips for Parents
- Start with 50% (halve it), 25% (halve it twice), and 10% (divide by 10). These three facts let you work out most common percentages.
- Use shop sales: "This coat is £40 with 25% off — how much is the discount?" Work out 25% of £40 together (£10).
- Shade 100-square grids to show percentages visually: "Shade 30 out of 100 squares — that is 30%."
- Link percentages to fractions and decimals: "50% = 1/2 = 0.5, 25% = 1/4 = 0.25." The trio of representations makes each one clearer.
Key Words
- Percentage (%) — A number out of 100 — 30% means 30 out of 100.
- Per cent — Literally "per hundred" — the root of the word percentage.
- Discount — A reduction in price — "25% off" means the price is reduced by one quarter.
- Of — In percentage calculations, "of" means multiply — 10% of 60 = 10/100 × 60 = 6.
Where This Fits
Before this topic: Children should understand fractions, know that 1/2 = 50%, and be comfortable dividing by 10.
After this topic: Finding percentages of amounts leads to percentage increase and decrease, comparing proportions, and using percentages in real-world contexts like interest, VAT, and statistics.
How MathCraft Teaches This
In MathCraft, Percentages of an Amount is taught through the Number & Fractions 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 Percentages of an Amount 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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