Archimedes for children
Tell stories of measurement, circles, levers and problem solving.
Quick answer
Archimedes was a brilliant ancient Greek mathematician who discovered how to measure circles, used levers to move heavy things, and solved tricky problems with clever ideas.
Learning outcome
By the end of this page, you will understand how Archimedes used maths to solve real problems and how his discoveries are still useful today.
- You can explain how Archimedes measured circles
- You can describe how levers help us move heavy things
- You can tell a story about a problem that Archimedes solved
- You can use simple maths to solve a problem like he did
Why this matters
Archimedes lived over 2,000 years ago, but his ideas still help us today. When you build a bridge, use a seesaw, or measure a circle, you are using maths that he discovered. He showed us that maths can help solve real problems in the world around us.
How it works
Archimedes was a smart man who liked to think about how things worked. He used maths to understand:
- How to measure circles
- How levers work
- How to solve hard problems
He did this by using shapes, counting, and thinking very carefully about how things move and fit together.
Examples you can see
Let's look at three things Archimedes discovered:
1. Measuring circles
Archimedes found out that the distance around a circle (called the circumference) is about 3 times the distance across the circle (called the diameter).
He used this idea to measure big circles, like wheels or pools. He didn't know the exact number, but he found out it was close to 3.14.
Try this: Draw a circle on paper. Measure the diameter (the line across the middle) and the circumference (the line around the edge). You might find it's about 3 times bigger!
2. How levers work
Archimedes said, "Give me a place to stand, and I shall move the world." He discovered that if you use a long stick (a lever), you can lift heavy things with less effort.
Try this: Put a stick under a rock. If you push down on one end, the rock will lift up on the other end. The longer the stick, the easier it is to lift the rock.
3. Problem solving
One time, the king had a crown and wanted to know if it was made of pure gold. Archimedes thought of a clever way to check.
He filled a bath with water and saw how much water went over the edge when he got in. Then he put the crown in and saw how much water it displaced. If the crown had been made of gold, it would have displaced the same amount of water as a gold bar of the same weight.
Try this: Fill a bowl with water. Drop a toy boat in and see how much water spills out. Then drop a small rock in and see how much more water spills out.
Try it as a mini adventure
Archimedes' Great Challenge
You are a young scientist in ancient Greece. The king wants to know if a crown is made of real gold. You have a scale, a bowl of water, and a gold bar that weighs the same as the crown.
Your mission: Figure out how to test if the crown is pure gold without breaking it.
- First, you place the gold bar in the bowl and measure the water that spills out.
- Then, you place the crown in the bowl and measure the water that spills out.
- Compare the amounts of water.
- If they are the same, the crown is made of gold!
What you learn: The volume (amount of space) of the crown must match the volume of the gold bar if it's made of gold. This is called displacement!
Common mistakes
- Mistake: Thinking that Archimedes invented the lever.
Why it happens: People think he made the first lever.
Fix: He discovered how levers work, but people used them before him. - Mistake: Believing that Archimedes discovered pi exactly.
Why it happens: Some think he found the exact number.
Fix: He found a close approximation, not the exact value. - Mistake: Thinking Archimedes lived in a castle.
Why it happens: Children imagine ancient people in fancy places.
Fix: He lived in a city called Syracuse, which was a busy port city.
Parent and carer guide
Help your child understand Archimedes by:
- Using everyday examples like a seesaw or a wheelbarrow to explain levers
- Playing with water and objects to show displacement
- Looking at circles in the real world (pizza, wheels, plates)
- Reading simple stories about ancient Greece together
- Practising counting and measuring with hands-on activities
What to say: "Archimedes was really smart because he thought of new ways to solve problems." What not to worry about: Don't worry if your child doesn't remember exact facts. Focus on understanding the big ideas.
Practice questions
- Question: If a circle's diameter is 10 cm, about how long is its circumference?
Answer: About 30 cm (3 times the diameter) - Question: Why does a longer lever make it easier to lift something?
Answer: Because you can use less force over a longer distance - Question: What did Archimedes discover about the crown?
Answer: He used water displacement to check if it was made of gold - Question: What did Archimedes say he could do with a place to stand?
Answer: He said he could move the world - Question: How did Archimedes measure the volume of the crown?
Answer: By seeing how much water it displaced in a bowl
FAQ
Who was Archimedes?
Archimedes was a Greek mathematician and inventor who lived about 2,000 years ago in a city called Syracuse.
What did Archimedes invent?
He discovered how levers work, how to measure circles, and used water displacement to solve problems. He didn't invent the lever, but he understood how it worked very well.
How did Archimedes measure circles?
He found out that the circumference (distance around) is about 3 times the diameter (distance across). This number is now called pi (π).
Why is Archimedes important?
His discoveries are still used today in building bridges, measuring wheels, and solving math problems. He showed that maths can solve real-world problems.
Did Archimedes live in a castle?
No, he lived in a busy port city called Syracuse. He was more interested in solving problems than living in fancy places.