The Viking voyage maths quest
Use distances, supplies, maps and days at sea.
Quick answer
By planning a Viking voyage, you can use maths to work out how far you need to sail, how many supplies you'll need, and how long the journey will take.
Learning outcome
By the end of this page, you will be able to use maths to plan a Viking voyage by working out distances, calculating supplies, and estimating time at sea.
- You can measure distances on a map using a scale
- You can work out how much food and water you need for a journey
- You can estimate how many days it will take to travel a certain distance
- You can use addition and multiplication to plan your supplies
Why this matters
Maths helps Vikings (and us!) plan safe and successful journeys. When you're sailing across the sea, you need to know how far you are going, how much food you'll need, and how long it will take. These skills are used in real life for sailing, travel, and even planning trips for families or businesses. You can use these same skills to plan your next family holiday or to figure out how long it takes to walk to school!
How it works
Planning a Viking voyage uses several maths skills:
- Measure distances using a map scale
- Calculate how much food and water you need for each person
- Estimate how many days your journey will take
- Add up all your supplies to make sure you have enough
Let's imagine you're a Viking leader planning a trip to a new island. You need to figure out how far you'll travel, how many supplies you'll need, and how long it will take.
Examples you can see
Let's look at a real Viking voyage example:
Example 1: Measuring the distance
Your Viking ship needs to sail from Norway to Iceland. On the map, the distance is 30 cm. The map scale is 1 cm = 50 km.
| Map distance | Scale | Actual distance |
|---|---|---|
| 30 cm | 1 cm = 50 km | 30 × 50 = 1,500 km |
So, the real distance is 1,500 km!
Example 2: Calculating supplies
Your crew has 12 Viking warriors. Each warrior needs 2 litres of water per day. The journey will take 5 days.
- Water needed per day = 12 warriors × 2 litres = 24 litres
- Total water needed = 24 litres × 5 days = 120 litres
Example 3: Estimating time
Your ship sails at an average speed of 8 km per hour. The journey is 1,500 km.
- Time needed = 1,500 km ÷ 8 km/hour = 187.5 hours
- Convert to days: 187.5 ÷ 24 hours = about 8 days
Try it as a mini adventure
Adventure: The Viking Voyage Challenge
You're the leader of a Viking ship and you need to plan a journey to a new island. Here's what you need to do:
- You have a map with a scale of 1 cm = 30 km
- Your ship needs to travel 1,200 km
- Your crew has 8 warriors
- Each warrior needs 1.5 litres of water per day
- Your ship travels at 6 km per hour
Step 1: Measure the distance on the map
How many centimeters is 1,200 km on the map?
Answer: 1,200 km ÷ 30 km/cm = 40 cm
Step 2: Calculate water supplies
How much water do you need for the whole journey?
Answer: 8 warriors × 1.5 litres × number of days
Step 3: Estimate journey time
How many days will the journey take?
Answer: 1,200 km ÷ 6 km/hour ÷ 24 hours = ? days
Common mistakes
- Mistake: Forgetting to use the map scale when measuring distances
- Why it happens: Kids might measure directly on the map without thinking about the scale
- Fix: Always remember to multiply or divide by the scale factor
- Mistake: Adding the number of people instead of multiplying
- Why it happens: Confusing "each person needs" with "total people"
- Fix: Remember to multiply by the number of people
- Mistake: Using the wrong units in calculations
- Why it happens: Mixing up km and cm, or litres and millilitres
- Fix: Always write down your units and check they match
Parent and carer guide
Help your child with the Viking voyage by:
- Using a real map at home to practice measuring distances
- Creating a simple scale (like 1 cm = 10 km) for your own family trip
- Letting them help with cooking or shopping to practice multiplication
- Discussing how long journeys take and how to estimate time
- Using everyday situations to practice division and multiplication
Remember: It's okay if they make mistakes. They're learning! Encourage them to think about their answers and explain their thinking.
Practice questions
- On a map with a scale of 1 cm = 25 km, the distance between two Viking towns is 12 cm. How far apart are the towns in real life?
- A Viking ship has 15 warriors. Each needs 2 litres of water per day. How much water is needed for 3 days?
- Your ship travels 5 km per hour. How long will it take to travel 200 km?
- You have 30 litres of water. Each warrior needs 1.5 litres per day. How many warriors can be supported for 2 days?
- A Viking journey is 800 km. Your ship travels 10 km per hour. How many days will it take?
Answers:
- 12 cm × 25 km/cm = 300 km
- 15 warriors × 2 litres × 3 days = 90 litres
- 200 km ÷ 5 km/hour = 40 hours
- 30 litres ÷ 1.5 litres ÷ 2 days = 10 warriors
- 800 km ÷ 10 km/hour ÷ 24 hours = about 3.3 days
FAQ
How do I use a map scale to measure distances?
First, measure the distance between two points on the map in centimeters. Then, multiply that number by the scale factor. For example, if the scale is 1 cm = 50 km and you measure 4 cm, the real distance is 4 × 50 = 200 km.
Why do Vikings need to plan their supplies?
Vikings needed to plan supplies because they didn't know what they'd find on their journey. If they didn't have enough food and water, they could get sick or even die. Planning helps them stay safe and healthy.
How can I practice Viking maths at home?
You can practice by using a map of your area and measuring distances, calculating how much food you'd need for a picnic, or timing how long it takes to walk to the park. These are all real-life Viking-style maths!
What if my child gets confused with units?
It's normal for children to mix up units. Help them write down the units for each number and check if they make sense. For example, if you're calculating water needed, the answer should be in litres or millilitres.
Can I use this for older children too?
Yes! Older children can use the same ideas but with more complex calculations. They can work with larger numbers, use more precise scales, and even work out how wind and weather might affect travel time.