Year 6 Maths: Speed, Distance and Time

Introduction to Speed, Distance, and Time

Hello Year 6! Today we are going to learn about something really exciting: speed, distance, and time. These are important concepts that help us understand how fast things move, how far they go, and how long it takes.

What is Speed?

Speed tells us how fast something is going. We can think of it as the distance travelled in a certain amount of time.

• Example: If a car travels 60 miles in 1 hour, we say its speed is 60 miles per hour (mph).

What is Distance?

Distance is how far something travels. We measure distance in units like miles, kilometres, or meters.

• Example: If you walk from your home to school, the distance might be 1 mile.

What is Time?

Time is how long it takes to travel a certain distance. We often measure time in hours, minutes, or seconds.

• Example: If it takes you 15 minutes to walk to school, that’s the time.

The Relationship Between Speed, Distance, and Time

There is a special relationship between speed, distance, and time. We can use a simple formula to connect these three:

This means:

• Speed = Distance ÷ Time

We can also rearrange this formula to find distance or time:

1. To find Distance: $$\text{Distance} = \text{Speed} \times \text{Time}$$
2. To find Time: $$\text{Time} = \frac{\text{Distance}}{\text{Speed}}$$

Key Rules

1. Units Matter: Always make sure you are using the same units for speed, distance, and time. For example, if you have speed in miles per hour, distance should be in miles, and time should be in hours.
2. Convert Units if Necessary: Sometimes, you may need to convert units. For example, if you have speed in miles per hour but distance in kilometers, you need to convert one to match the other.

Tips and Tricks

• Use a Table: You can create a simple table to keep track of speed, distance, and time.

| Distance | Speed | Time |

|———-|——-|——|

| 60 miles | 60 mph | 1 hour |

| 120 miles | 60 mph | 2 hours |

| 30 miles | 30 mph | 1 hour |

• Practice with Real-Life Examples: Think about how long it takes you to walk or ride your bike to places you know. This will help you understand the concept better.

Questions to Practice

Easy Level Questions

1. If you travel 30 miles in 1 hour, what is your speed?
2. If a bike moves at 10 mph for 2 hours, how far does it go?
3. How long will it take to walk 3 miles at a speed of 3 mph?
4. If a car travels 100 miles in 2 hours, what is its speed?
5. How far can you walk in 1 hour if your speed is 4 mph?
6. What is the time taken to travel 20 miles at a speed of 5 mph?
7. If you run 2 miles in 30 minutes, what is your speed in mph?
8. A train travels 150 miles at a speed of 75 mph. How long does it take?
9. If you cycle 12 miles in 1 hour, what is your speed?
10. How long would it take to drive 60 miles at a speed of 30 mph?
11. If a plane flies 300 miles in 1 hour, what is its speed?
12. A person walks 1 mile in 20 minutes. What is their speed in mph?
13. If a car travels 90 miles in 1.5 hours, how fast is it going?
14. How far can someone travel in 3 hours at a speed of 15 mph?
15. If you jog 4 miles in 40 minutes, what is your speed?
16. A bus travels 120 miles at a speed of 60 mph. How long does it take?
17. How far can you run in 45 minutes at a speed of 6 mph?
18. If you drive 180 miles in 3 hours, what is your speed?
19. A cyclist goes 50 miles in 2 hours. What is their speed?
20. If you walk at 2 mph for 2 hours, how far do you go?

Medium Level Questions

1. A car travels 200 miles at a speed of 50 mph. How long does it take?
2. How far can you travel in 2.5 hours at a speed of 24 mph?
3. If a train moves at 60 mph, how long will it take to travel 300 miles?
4. You walk 5 miles at 4 mph. How long does it take?
5. If a plane travels 600 miles in 2 hours, what is its speed?
6. How far can you bike in 1.5 hours at 12 mph?
7. A person runs 5 km in 30 minutes. What is their speed in km/h?
8. If a car travels 150 miles in 3 hours, what is its speed?
9. How long will it take to drive 240 miles at a speed of 80 mph?
10. A bus goes 90 miles in 2 hours. What is its speed?
11. If you walk 2 miles in 40 minutes, what is your speed in mph?
12. A cyclist rides for 3 hours at 15 mph. How far do they go?
13. If a car goes 300 miles in 4 hours, what is its speed?
14. You swim 1 km in 25 minutes. What is your speed in km/h?
15. How long will it take to walk 10 miles at 5 mph?
16. A runner completes a marathon (26.2 miles) in 4 hours. What is their speed?
17. If a truck drives 180 miles in 3 hours, what is its speed?
18. How far can someone travel in 45 minutes at a speed of 8 mph?
19. If you cycle 15 miles in 1 hour, how fast are you going?
20. A train moves 250 miles in 5 hours. What is its speed?

Hard Level Questions

1. A car travels at 70 mph for 3 hours. How far does it go?
2. How long will it take to fly 1500 miles at a speed of 500 mph?
3. If you walk 8 miles in 2 hours and 40 minutes, what is your speed?
4. A truck moves 180 miles at a speed of 60 mph. How long does it take?
5. How far can you run in 1 hour at a speed of 9 mph?
6. If a plane travels 1200 miles in 2.5 hours, what is its speed?
7. You cycle 40 miles in 2 hours. What is your speed in mph?
8. A car travels 540 miles at a speed of 90 mph. How long does it take?
9. If you run 10 km in 50 minutes, what is your speed in km/h?
10. How long will it take to drive 360 miles at a speed of 60 mph?
11. A train travels 500 miles in 8 hours. What is its speed?
12. If you swim 2 km in 30 minutes, what is your speed?
13. A cyclist travels 80 miles in 4 hours. What is their speed?
14. If a bus travels 240 miles in 4 hours, what is its speed?
15. You walk 12 miles in 2 hours. What is your speed in mph?
16. A car travels 720 miles in 10 hours. What is its speed?
17. If a runner completes a 5 km race in 20 minutes, what is their speed in km/h?
18. A motorbike travels 300 miles in 5 hours. What is its speed?
19. If a person walks at a speed of 4 mph, how long will it take them to walk 20 miles?
20. A plane flies 2000 miles in 4 hours. What is its speed?

Answers and Explanations

Easy Level Answers

1. 30 mph
2. 20 miles
3. 1 hour
4. 50 mph
5. 4 miles
6. 4 hours
7. 4 mph
8. 2 hours
9. 12 mph
10. 2 hours
11. 300 mph
12. 3 mph
13. 60 mph
14. 45 miles
15. 6 mph
16. 2 hours
17. 1 hour
18. 60 mph
19. 25 mph
20. 4 miles

Medium Level Answers

1. 4 hours
2. 60 miles
3. 5 hours
4. 1.25 hours
5. 300 mph
6. 18 miles
7. 10 km/h
8. 50 mph
9. 3 hours
10. 45 mph
11. 3 mph
12. 45 miles
13. 75 mph
14. 2.4 mph
15. 2 hours
16. 6.55 mph
17. 60 mph
18. 6 miles
19. 15 mph
20. 50 mph

Hard Level Answers

1. 210 miles
2. 3 hours
3. 3 mph
4. 3 hours
5. 9 miles
6. 480 mph
7. 20 mph
8. 6 hours
9. 4 km/h
10. 6 hours
11. 62.5 mph
12. 4 km/h
13. 20 mph
14. 60 mph
15. 6 mph
16. 72 mph
17. 15 km/h
18. 60 mph
19. 5 hours
20. 500 mph

Now you have a good understanding of speed, distance, and time! Keep practicing, and you’ll be a whiz at these calculations in no time!