Maths in cycling: speed

Quick answer

Speed in cycling is how far you travel in a certain amount of time. You can find out how fast you're going by counting how many metres or kilometres you go in one second or one minute.

Learning outcome

By the end of this page, you will understand what speed means when cycling, and how to compare how fast different cyclists are going using simple counting and measuring.

• I can say which cyclist is going faster just by looking at how far they go in the same time
• I can measure how far I travel in one minute and compare it to others
• I can use real-life examples to understand speed without using complicated maths
• I can play a fun cycling game to practice speed thinking

Why this matters

Understanding speed helps you know how fast you're going when you ride your bike. It's useful for racing, planning your ride, or just knowing how long it takes to get somewhere. Speed is also important in many other sports and jobs, like racing cars, swimming, or flying planes. Knowing how speed works helps you understand the world around you!

How it works

Speed is about how far you go in a certain amount of time. If you go 10 metres in one second, you are going faster than someone who only goes 5 metres in one second. You can think of speed like this:

1. Count how far you go
2. Count how long it takes
3. Compare the two numbers

When you ride your bike, you can measure how far you go by counting your bike wheels or by using a measuring tape. If you go 100 metres in 20 seconds, you are going faster than someone who goes 50 metres in 20 seconds.

Examples you can see

Imagine you and your friend are riding bikes. You both start at the same time and ride for 10 seconds.

• You ride 30 metres in 10 seconds
• Your friend rides 20 metres in 10 seconds

Who is going faster? You are! Because you went further in the same amount of time.

Let’s try another example. You ride your bike for 1 minute.

You are going fastest because you go 200 metres in one minute. Your friend is going slower because they only go 150 metres.

Let’s look at a real-world example. You are riding your bike to school. It takes you 5 minutes to get there. You know that your school is 1 kilometre away. That means you are going 1 kilometre in 5 minutes. If your friend rides the same way and takes 10 minutes, they are going slower because they take longer to go the same distance.

Try it as a mini adventure

Adventure: The Speedy Bike Race!

You and your friends are going on a bike ride. You have a race to see who can go the farthest in 30 seconds. Here’s how to play:

1. Choose a spot with a clear path
2. Set a timer for 30 seconds
3. Start your bike ride
4. Count how many metres you go in 30 seconds
5. Write down your distance
6. Compare with your friends
7. See who went the farthest!

Try this a few times and see how your speed changes. Maybe you get better at riding fast!

Common mistakes

• Mistake: Thinking that going faster means going a longer distance.
  Why it happens: Children often confuse distance and speed. They might think that if someone goes 100 metres, they are going faster than someone who goes 50 metres.
  Fix: Remind them that speed is about how far you go in the same amount of time. If both people ride for 10 seconds, the one who goes further is going faster.
• Mistake: Thinking that going for a longer time means going faster.
  Why it happens: Children may think that if someone rides for 5 minutes, they are going faster than someone who rides for 2 minutes.
  Fix: Explain that speed is about distance in a certain time. If someone rides 100 metres in 2 minutes, they are going slower than someone who rides 100 metres in 1 minute.
• Mistake: Not counting how far you go.
  Why it happens: It can be hard to measure distance without tools.
  Fix: Use a measuring tape or count your bike wheels to help measure how far you go.

Parent and carer guide

Helping your child understand speed in cycling is fun and easy. Here’s how to do it in 5–10 minutes:

• Start by asking your child: “Who do you think rides faster, you or your friend?”
• Go for a short bike ride together and count how many metres you go in 10 seconds
• Use a stopwatch or a timer on your phone to keep track of time
• Record the distances and compare
• Ask questions like: “Who went further in the same time?” or “Who took less time to go the same distance?”
• Don’t worry if your child makes mistakes – it’s part of learning!

Remember, speed is not about how hard you try, but about how far you go in a set amount of time. Keep it light and fun!

Practice questions

1. Who is going faster: someone who goes 50 metres in 10 seconds, or someone who goes 30 metres in 10 seconds?
2. If you ride 100 metres in 20 seconds, how far do you go in 10 seconds?
3. Two cyclists ride for 5 minutes. One goes 500 metres, the other goes 700 metres. Who is going faster?
4. If a bike rider goes 200 metres in 1 minute, how far do they go in 30 seconds?
5. Who rides faster: someone who goes 100 metres in 15 seconds, or someone who goes 80 metres in 15 seconds?

Answers:

1. The person who goes 50 metres in 10 seconds is going faster.
2. You go 50 metres in 10 seconds.
3. The person who goes 700 metres is going faster.
4. They go 100 metres in 30 seconds.
5. The person who goes 100 metres in 15 seconds is going faster.

FAQ

What is speed?

Speed is how far you travel in a certain amount of time. If you go 10 metres in 1 second, you are going fast. If you go 5 metres in 1 second, you are going slow.

How do I measure speed on my bike?

You can measure speed by riding for a set time (like 10 seconds) and counting how far you go. Then you can compare your distance to others who rode for the same time.

Why does speed matter when cycling?

Speed helps you know how fast you are going, which is useful for racing, planning your ride, or knowing how long it will take to get somewhere.

Can I compare speeds if I ride for different times?

No, to compare speed, you must ride for the same amount of time. If you ride for 5 seconds and your friend rides for 10 seconds, you can't say who is faster unless you measure both distances in the same time.

How can I practice speed at home?

You can practice by timing yourself riding a short distance, or by playing a game where you race to see who can go the farthest in a set time.