Age 11 guide to percentages

Quick answer

By the end of this page, you will understand what percentages are and how to find simple percentages of amounts – like finding 10% or 25% of a number – using easy methods you can do in your head or with a pen and paper.

Learning outcome

By the end of this page, you will be able to:

• Understand that percentages mean "out of 100"
• Find 10%, 25%, 50%, and 1% of numbers
• Use these basic percentages to work out bigger percentages
• Apply percentages to real-life situations like shopping or sharing

Why this matters

Percentages are used everywhere – in shops when you see discounts, on your test results, in sports when you see how many goals a player scores, or when you share a pizza. Understanding percentages helps you make better choices and understand the world around you.

As you grow up, you'll use percentages for more complex ideas like interest on money, tax, and statistics. So it's a helpful skill to get good at now.

How it works

Percentages are another way to show parts of a whole, like fractions or decimals. The word "percent" means "per hundred", so 50% means 50 out of 100.

Here’s how to think about it:

1. 100% = the whole thing
2. 50% = half of the whole
3. 25% = a quarter of the whole
4. 10% = one-tenth of the whole
5. 1% = one-hundredth of the whole

When you know these simple percentages, you can find others. For example, if you know 10% of 200, you can find 20% by doubling it.

Examples you can see

Let’s try some easy examples:

Example 1: What is 10% of 300?

10% means 10 out of 100, so:

• 10% of 300 = 300 ÷ 10 = 30

Example 2: What is 25% of 80?

25% is a quarter, so:

• 80 ÷ 4 = 20

Example 3: What is 50% of 120?

50% is half, so:

• 120 ÷ 2 = 60

Example 4: What is 1% of 500?

1% means 1 out of 100, so:

• 500 ÷ 100 = 5

Example 5: What is 15% of 200?

You can break this down:

• 10% of 200 = 20
• 5% of 200 = 10 (which is half of 10%)
• So, 15% = 20 + 10 = 30

Try it as a mini adventure

Imagine you are a shopkeeper in a toy store. You have 100 toys, and you want to give a discount to customers. You decide to give 10% off all toys.

Your first customer wants to buy 20 toys. You need to work out how much discount they get:

1. 10% of 1 toy = 10p (if each toy costs £1)
2. 10% of 20 toys = 20 × 10p = £2 discount

Your second customer wants to buy 50 toys. How much discount do they get?

1. 10% of 50 toys = 50 × 10p = £5 discount

Can you work out how much discount a customer gets if they buy 75 toys?

1. 10% of 75 toys = 75 × 10p = £7.50 discount

Common mistakes

• Mistake: Thinking 10% means 10 out of 100, but not knowing how to calculate it.
• Why it happens: Confusion between percentage and division.
• Fix: Remember that to find 10%, divide by 10.

• Mistake: Trying to add or multiply percentages without breaking them down.
• Why it happens: Not understanding that 15% is 10% + 5%.
• Fix: Break percentages into easier parts like 10% + 5% or 25% + 25%.

• Mistake: Confusing 1% with 10% or 50%.
• Why it happens: Not knowing the meaning of each percentage.
• Fix: Practice saying "1% means 1 out of 100" and use objects to show it.

Parent and carer guide

Helping your child understand percentages can be fun and simple. Here’s what you can do in 5–10 minutes:

• Ask your child to find 10% of numbers like 50, 100, or 200. Use a calculator or a simple division to check.
• Use a real-life example like a pizza cut into 100 pieces. Ask them to find 25% or 50% of the pizza.
• Play a game where you give your child a number and ask them to find 10%, 25%, or 50% of it.
• Encourage them to think of percentages in everyday life – like a 20% off sale or a 50% chance of rain.
• Don’t worry if they make mistakes – they’re part of learning. Use them as a chance to practice more.

Practice questions

1. What is 10% of 300?
2. What is 25% of 120?
3. What is 50% of 80?
4. What is 1% of 400?
5. What is 15% of 200?
6. What is 30% of 150?
7. What is 75% of 200?
8. What is 10% of 1000?
9. What is 20% of 250?
10. What is 5% of 60?

Answers:

1. 30
2. 30
3. 40
4. 4
5. 30
6. 45
7. 150
8. 100
9. 50
10. 3

FAQ

What is a percentage?

A percentage is a way to show a part of a whole. It always means "out of 100". For example, 50% means 50 out of 100.

How do I find 10% of a number?

To find 10% of a number, divide it by 10. For example, 10% of 200 is 200 ÷ 10 = 20.

Why is learning percentages important?

Percentages help you understand discounts, test scores, chances, and how to split things fairly. They’re used in many jobs and daily life.

Can I use a calculator to find percentages?

Yes! You can use a calculator, but it’s good to know how to do it in your head first. It helps you check if your calculator is right.

How can I practice percentages at home?

You can practice by looking at sales in the shop, checking how much of a pizza you eat, or using a number line to find 10% or 25% of numbers.