Fuel Stops maths mission
A junior real-world challenge using fuel stops to practise estimation without feeling like a worksheet.
Quick answer
When planning a journey, you can estimate how many fuel stops you'll need by thinking about your car's fuel efficiency and the distance you're travelling.
Learning outcome
By the end of this page, you will be able to estimate how many fuel stops you need for a trip, using simple maths and real-world thinking.
- You can count how many times your car's fuel tank fills up during a journey.
- You can use simple division to work out how many stops you'll need.
- You can check if your estimate makes sense in real life.
- You can plan a short journey and predict how many times you'll stop for fuel.
Why this matters
Knowing how to estimate fuel stops helps you plan trips better, save money, and avoid running out of fuel. It's a useful skill when going on car journeys, camping, or even playing games that involve travel. You'll use maths in everyday life without even realising it!
How it works
Here's how to work out how many fuel stops you'll need:
- Find out how far your car can go on one full tank of fuel (this is called fuel efficiency).
- Measure the total distance you're going to travel.
- Divide the total distance by the distance your car can go on one tank.
- Round up to the nearest whole number to make sure you have enough fuel.
Examples you can see
Imagine you're going on a trip with your family. You know your car can go 400 miles on one full tank. You're planning to drive 1,200 miles.
| Total Distance | Distance per Tank | Number of Tanks | Fuel Stops Needed |
|---|---|---|---|
| 1,200 miles | 400 miles | 1,200 ÷ 400 = 3 | 2 stops (because you start with a full tank) |
So you'll need to stop for fuel 2 times during your journey.
Try it as a mini adventure
Let's go on a Fuel Stops maths mission!
You're planning a family road trip from London to Edinburgh. The journey is about 600 miles. Your car can go 300 miles on one tank of fuel.
- First, you'll need to work out how many tanks of fuel you'll use.
- Then, you'll work out how many stops you'll need.
- Finally, you'll think about how much fuel you'll need to buy at each stop.
Step 1: Total distance ÷ Distance per tank = 600 ÷ 300 = 2 tanks
Step 2: Number of stops = Tanks needed – 1 = 2 – 1 = 1 stop
Step 3: You'll need to buy fuel at 1 stop during your journey.
Common mistakes
- Mistake: Thinking you need to stop at every tank.
- Why it happens: Confusing tanks with stops. You start with a full tank, so you only need to stop if you're using more than one tank.
- Fix: Remember, you start with a full tank, so you stop one less time than the number of tanks you use.
- Mistake: Not rounding up when calculating stops.
- Why it happens: Thinking that 2.5 stops is okay, but you can't have half a stop.
- Fix: Always round up to the next whole number to be safe.
- Mistake: Forgetting that you start with a full tank.
- Why it happens: Not thinking about the beginning of the journey.
- Fix: Always remember that you begin with a full tank of fuel.
Parent and carer guide
Help your child understand fuel stops by using real-life examples. Ask them to estimate how many stops they'd need for a trip to the shops or a local park. Encourage them to use division and rounding to solve the problem. You can also use a car journey or a toy car to make it more fun. If they get stuck, guide them with questions like:
- How far can your car go on one full tank?
- How far are you going?
- How many times do you need to fill up?
Remember, it's okay if they make a mistake. Mistakes help children learn better. Focus on the thinking, not just the answer.
Practice questions
- How many fuel stops would you need for a 1,000-mile journey if your car can go 250 miles on one tank?
- If you travel 450 miles and your car can go 150 miles on one tank, how many stops will you need?
- A 600-mile trip needs 3 stops. How many miles can your car go on one tank?
- How many stops would you need for a 900-mile journey if your car can go 300 miles on one tank?
- For a 750-mile journey, you need 2 stops. How far can your car go on one tank?
Answers:
- 1,000 ÷ 250 = 4 tanks, so 3 stops
- 450 ÷ 150 = 3 tanks, so 2 stops
- 600 ÷ 3 = 200 miles per tank
- 900 ÷ 300 = 3 tanks, so 2 stops
- 750 ÷ 2 = 375 miles per tank
FAQ
How do I know how far my car can go on one tank?
Check your car's manual or ask a parent. You can also look at how far you can drive before your fuel light comes on.
Do I always need to stop for fuel?
No, you only need to stop if you're using more than one tank of fuel during your journey.
What if I'm not sure about the numbers?
It's okay to round up or use simpler numbers. The most important thing is to think about how much fuel you'll need.
Can I use this for other journeys?
Yes! You can use this method for any journey, whether it's a short trip or a long road trip.
Why is it important to estimate fuel stops?
Estimating fuel stops helps you plan better, saves time, and makes sure you don't run out of fuel on the road.