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Cross Curricular Maths

Maths in old ships

Explore cargo, crew, navigation, measurement and symmetry through historic vessels.

Quick answer

Maths in old ships helps us understand how sailors calculated cargo, measured distances, and navigated the seas using numbers, shapes, and patterns. You can explore how ancient sailors used maths to build ships, plan journeys, and manage supplies.

Learning outcome

By the end of this page, you will understand how maths was used in old ships for measuring, counting, and solving problems, and you will be able to use simple maths to solve ship-related challenges. Success signs:
  • You can count and group objects like cargo or crew members
  • You can measure distances and use symmetry to build ship models
  • You can solve simple problems about ship supplies and journeys
  • You can see how maths helps sailors navigate and build ships

Why this matters

Maths was essential on old ships, not just for sailing but for everything from loading cargo to making sure the ship stayed balanced. Sailors needed to know how much food to pack, how far they could travel, and how to use the wind and stars to find their way. When you understand how maths was used on old ships, you see how numbers help us solve real-world problems, whether on land or at sea.

How it works

Old ships used maths in many ways:
  1. They used counting to manage crew and cargo
  2. They used measurement to build ships and plan routes
  3. They used patterns and symmetry to make ships strong and balanced
  4. They used navigation with maths to find their way across the ocean

Examples you can see

Let’s imagine you are on a ship from the 1600s. Here are some ways maths helped the crew: Example 1: Counting cargo The ship carries 30 barrels of rum. If each barrel holds 40 litres, how much rum is there in total?
  • 30 barrels × 40 litres = 1,200 litres
Example 2: Measuring the ship The ship is 20 metres long and 8 metres wide. What is the area of the deck?
  • 20 metres × 8 metres = 160 square metres
Example 3: Symmetry in ship design A ship’s hull is shaped like a symmetrical boat. If one side is 5 metres wide, the other side is also 5 metres wide. This helps the ship float evenly. Example 4: Navigation A ship sails 100 nautical miles in one day. How far will it go in 5 days?
  • 100 miles × 5 days = 500 miles

Try it as a mini adventure

Adventure: Build a Ship Model You are a young shipbuilder helping to design a ship for a pirate crew. You have to make sure the ship is balanced and strong.
  1. Step 1: Draw a ship that is 12 cm wide and 20 cm long
  2. Step 2: Add 4 cargo holds. Each hold has 6 barrels of food. How many barrels in total?
  3. Step 3: The ship needs 10 ropes. Each rope is 3 metres long. How much rope is needed?
  4. Step 4: The ship must carry 500 litres of water. If each cask holds 25 litres, how many casks are needed?

Common mistakes

  • Mistake: Thinking 100 miles × 5 = 50 miles instead of 500 miles
    Why it happens: Confusing multiplication with addition
    Fix: Use repeated addition or draw groups to show 100 + 100 + 100 + 100 + 100 = 500
  • Mistake: Forgetting to multiply when calculating area
    Why it happens: Mixing up what to multiply
    Fix: Remember that area = length × width
  • Mistake: Counting the same item twice when adding cargo
    Why it happens: Not keeping track of what you've counted
    Fix: Use a list or mark off each item as you count it

Parent and carer guide

Parents and carers can help by:
  • Using real objects like toy boats, blocks, or even kitchen measuring cups to show how ships are measured
  • Playing simple maths games like “How many cargo items can fit in this box?”
  • Looking at old ship pictures or model ships together and asking questions like “How many sails do you see?” or “What shape is the hull?”
  • Encouraging children to draw or build their own ship and label the measurements
  • Using simple multiplication to find how much food or water a ship might need

Practice questions

  1. How many barrels of water are needed if each barrel holds 50 litres and the ship needs 300 litres?
  2. A ship is 25 metres long and 10 metres wide. What is the area of its deck?
  3. If a ship sails 75 miles each day, how far will it go in 4 days?
  4. A cargo hold has 8 boxes, and each box has 12 bottles. How many bottles are there in total?
  5. If 12 crew members each need 2 litres of water a day, how much water is needed for one day?
Answers:
  1. 300 ÷ 50 = 6 barrels
  2. 25 × 10 = 250 square metres
  3. 75 × 4 = 300 miles
  4. 8 × 12 = 96 bottles
  5. 12 × 2 = 24 litres

FAQ

What kind of maths was used on old ships?

Old ships used basic maths like counting, measuring, multiplication, and patterns to manage supplies, build ships, and navigate the seas.

How did sailors use symmetry on ships?

Symmetry helped sailors design ships that would float evenly and stay balanced in the water.

How did sailors know how far they had sailed?

They used tools like compasses, stars, and charts to measure distances and find their way.

Why is it important to know about maths in old ships?

Understanding how maths was used in history helps us see how numbers help solve real-world problems.

Can I build a ship model using maths?

Yes! You can measure, count, and calculate how much material you need to build a balanced ship model.