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Swimming Maths

Maths in swimming: pool lengths

Count repeated lengths to find total distance.

Quick answer

Maths in swimming: pool lengths helps you work out how far you swim by counting how many lengths you do and multiplying by the pool length.

Learning outcome

By the end of this page, you will be able to count how many lengths you swim and calculate the total distance using multiplication. Success signs:
  • You can tell how many lengths you've swum
  • You can multiply lengths by pool length to find total distance
  • You can solve simple swimming distance problems
  • You can use maths to plan your swimming practice

Why this matters

Maths in swimming helps you track your progress, plan how long you need to swim, and know how far you've swum. Whether you're learning to swim or training for a competition, knowing how to count lengths and calculate distance is really useful. It also helps you understand how much exercise you're doing and how far you've gone. In real life, you might need to know how far you've swum when planning a swim for fun or training. If you're swimming for fitness, it helps you set goals and see how much you've improved. It's also useful when you're swimming in a pool with a specific length, like 25m or 50m.

How it works

To work out how far you swim, you need to:
  1. Count how many lengths you swim
  2. Know the length of the pool
  3. Multiply the number of lengths by the pool length
Let's say you swim 10 lengths in a 25m pool. You multiply 10 by 25 to get 250m. That means you swam 250 metres. If you swim 5 lengths in a 50m pool, you multiply 5 by 50 to get 250m. You still swam 250 metres, but you did it in fewer lengths.

Examples you can see

Let's look at some examples you can imagine and work through. Example 1: Swimming in a 25m pool Imagine you're swimming in a 25m pool. You swim 8 lengths. How far did you swim? You multiply the number of lengths (8) by the pool length (25m). 8 × 25 = 200m So, you swam 200 metres. Example 2: Swimming in a 50m pool You're in a 50m pool and swim 6 lengths. How far did you swim? 6 × 50 = 300m You swam 300 metres. Example 3: Mixing up pool lengths You swim 4 lengths in a 25m pool, then 3 lengths in a 50m pool. How far did you swim in total? First, calculate the distance for the first part: 4 × 25 = 100m Then, calculate the distance for the second part: 3 × 50 = 150m Add the two distances together: 100 + 150 = 250m You swam 250 metres in total. Example 4: Using arrays to show swimming You can also use arrays to show swimming. Imagine 3 rows of 4 lengths each. Each row is 25m long. So, 3 rows of 4 lengths each = 3 × 4 = 12 lengths 12 lengths × 25m = 300m This is like a swimming workout with 12 lengths in a 25m pool.

Try it as a mini adventure

Mini Adventure: Swim to the Finish! You're in a swimming competition and need to swim 1000m. The pool is 25m long. How many lengths do you need to swim? First, think about how to solve this. You know:
  • Pool length = 25m
  • Total distance = 1000m
  • Number of lengths = ?
To find the number of lengths, you divide the total distance by the pool length: 1000 ÷ 25 = 40 lengths So, you need to swim 40 lengths to reach 1000m. Mini Adventure Challenge: You're planning a swimming session. You want to swim 500m in a 50m pool. How many lengths do you need to swim? 500 ÷ 50 = 10 lengths You need to swim 10 lengths. Mini Adventure Bonus: You're swimming in a 25m pool and swim 12 lengths. How far did you swim? 12 × 25 = 300m You swam 300 metres.

Common mistakes

  • Mistake: Forgetting to multiply the number of lengths by the pool length.
    Why it happens: Kids might count the lengths but forget to use multiplication.
    Fix: Always remember to multiply the number of lengths by the pool length.
  • Mistake: Confusing pool length and total distance.
    Why it happens: Kids might say they swam 50m if they swam 2 lengths in a 25m pool.
    Fix: Always multiply lengths by pool length to get total distance.
  • Mistake: Adding lengths instead of multiplying.
    Why it happens: Kids might add 5 + 5 + 5 + 5 = 20 instead of multiplying 4 × 5.
    Fix: Remember that multiplying is the same as repeated addition, but faster.
  • Mistake: Not knowing the pool length.
    Why it happens: Kids might forget that a standard pool is 25m or 50m long.
    Fix: Check the pool length or ask someone.

Parent and carer guide

As a parent or carer, you can help your child learn swimming maths by:
  • Practising counting lengths together when swimming
  • Using a pool map or sign to check pool length
  • Setting fun swimming goals using maths
  • Playing games like "How far can we swim?" and calculating distances
  • Encouraging your child to explain how they worked out the distance
What to say:
  • "Let's count how many lengths you've swum"
  • "How far do you think you've swum?"