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Hidden Multiplication

Multiplication hiding in running laps

One lap distance repeated many times gives a race distance.

Quick answer

Multiplication hiding in running laps means using repeated addition to work out how far you've run when you know the distance of one lap and how many laps you've done.

Learning outcome

By the end of this page, you will understand how to use multiplication to work out how far you've run when you know the distance of one lap and how many laps you've done. Success signs:
  • You can multiply lap distance by number of laps to get total distance
  • You can draw arrays or groups to show your multiplication
  • You can solve real-life running distance problems
  • You can explain how repeated addition is the same as multiplication

Why this matters

Multiplication hiding in running laps helps you understand how maths is used in real life. When you run, you often do the same distance many times. If you know one lap is 200 metres and you've done 5 laps, you can multiply to find out you've run 1,000 metres. This is useful for:
  • Planning your running route
  • Measuring how far you've gone
  • Understanding your fitness progress
  • Learning about distance, speed, and time
This kind of thinking helps you in many other situations too, like counting items in rows, sharing food, or calculating how much time you spend on activities.

How it works

Multiplication is like repeated addition. When you run laps, you do the same distance over and over. So instead of adding the same number many times, you can multiply.
  1. Find the distance of one lap
  2. Count how many laps you've done
  3. Multiply lap distance by number of laps
  4. That gives you your total running distance

Examples you can see

Let's imagine you're running around a school track. Each lap is 100 metres. If you run 3 laps, you've run 3 times 100 metres.
  • 1 lap = 100 metres
  • 2 laps = 100 + 100 = 200 metres
  • 3 laps = 100 + 100 + 100 = 300 metres
  • Or you can multiply: 3 × 100 = 300 metres
Here's a table showing how this works with different lap distances: Running Distance Examples
Lap Distance Number of Laps Total Distance
50 metres 4 laps 4 × 50 = 200 metres
100 metres 6 laps 6 × 100 = 600 metres
200 metres 3 laps 3 × 200 = 600 metres
250 metres 8 laps 8 × 250 = 2,000 metres

Try it as a mini adventure

Adventure: The Race Around the Park You're training for a park run and want to know how far you'll run. The park track is 150 metres long. You want to run 4 laps.
  1. First lap: 150 metres
  2. Second lap: 150 metres
  3. Third lap: 150 metres
  4. Fourth lap: 150 metres
  5. Total distance: ? + ? + ? + ? = ? metres
  6. Or: 4 × 150 = ? metres
Challenge: Your Running Plan You decide to run 5 laps every day for 7 days. Each lap is 100 metres.
  1. Distance per day: ? × ? = ? metres
  2. Total distance for the week: ? × ? = ? metres
  3. How many kilometres is that? (Hint: 1,000 metres = 1 kilometre)

Common mistakes

  • Mistake: Adding the wrong numbers
    • Why it happens: Confusing lap distance with number of laps
    • Fix: Double-check that you're multiplying the distance by the number of laps
  • Mistake: Forgetting to include all laps
    • Why it happens: Getting distracted while counting
    • Fix: Use your fingers or draw dots to keep track of each lap
  • Mistake: Thinking multiplication is harder than repeated addition
    • Why it happens: Not understanding that they're the same thing
    • Fix: Practice with small numbers first, then use multiplication

Parent and carer guide

As a parent or carer, you can help your child understand running laps multiplication by:
  • Using real running situations, like counting laps during walks or playground runs
  • Letting them draw arrays to show their multiplication (like 3 rows of 5 dots)
  • Using a timer to make laps more interesting and measurable
  • Connecting it to other maths they know, like counting by 2s, 5s, or 10s
  • Practicing with different lap distances to build confidence
Helpful questions to ask:
  • How many laps did you do?
  • How far is each lap?
  • Can you show me how you worked out the total distance?
  • What if you did 10 laps instead of 5?
Don't worry if they make mistakes – they're learning! Focus on the process, not just getting the right answer.

Practice questions

  1. One lap is 100 metres. How far do you run if you do 3 laps?
  2. One lap is 200 metres. How far do you run if you do 4 laps?
  3. One lap is 50 metres. How far do you run if you do 6 laps?
  4. One lap is 150 metres. How far do you run if you do 5 laps?
  5. One lap is 250 metres. How far do you run if you do 3 laps?
Answers:
  1. 3 × 100 = 300 metres
  2. 4 × 200 = 800 metres
  3. 6 × 50 = 300 metres
  4. 5 × 150 = 750 metres
  5. 3 × 250 = 750 metres

FAQ

What is multiplication?

Multiplication is like repeated addition. If you do 3 laps of 100 metres each, that's the same as adding 100 + 100 + 100, which equals 3 × 100 = 300 metres.

Why do we use multiplication for running laps?

Multiplication helps us quickly find the total distance when we know the distance of one lap and how many laps we've done. It's faster than adding the same number over and over.

Can I use this for other activities?

Yes! You can use this for any activity where you do the same thing many times. Like jumping rope, swimming laps, or even eating the same number of cookies each day.

How can I practice this at home?

Count your steps, draw arrays of your laps, or use your fingers to show how many laps you've done. You can also make up running races with different distances and laps.

What if I'm not good at multiplication?

That's okay! You can still add the same number many times. As you practice, multiplication will get easier. You can also use objects like blocks or counters to help you.