Year 11 Maths: Convert Between Metric and Imperial Units

Introduction to Metric and Imperial Units

Hello, everyone! Today, we’re going to learn how to convert between metric and imperial units. This skill is very useful in everyday life, especially when dealing with measurements in cooking, travel, and science.

What Are Metric and Imperial Units?

Metric Units are based on the number 10. Common metric units include:

• Kilometers (km) for distance
• Metres (m) for length
• Litres (l) for volume
• Grams (g) for weight

Imperial Units are based on older systems of measurement. Common imperial units include:

• Miles for distance
• Feet (ft) for length
• Gallons for volume
• Pounds (lbs) for weight

Key Rules for Conversion

1. Know the Conversion Factors:
   • 1 mile = 1.60934 kilometres
   • 1 kilometre = 0.621371 miles
   • 1 inch = 2.54 centimetres
   • 1 centimetre = 0.393701 inches
   • 1 pound = 0.453592 kilograms
   • 1 kilogram = 2.20462 pounds
2. Multiplication or Division:
   • If you are converting from a larger unit to a smaller unit, you multiply.
   • If you are converting from a smaller unit to a larger unit, you divide.

Tips and Tricks

• Use a Calculator: When you’re unsure, it’s perfectly okay to use a calculator for conversions.
• Create a Conversion Chart: Write down the common conversions you will use often.
• Practice: The more you practice, the better you’ll get at converting units.

Example Conversions

1. Convert 5 miles to kilometres: $$5 \text{ miles} \times 1.60934 = 8.0467 \text{ km}$$
2. Convert 10 kilograms to pounds: $$10 \text{ kg} \times 2.20462 = 22.0462 \text{ lbs}$$
3. Convert 20 centimetres to inches: $$20 \text{ cm} \div 2.54 = 7.874 \text{ inches}$$

Summary

Now we know that converting between metric and imperial units involves using specific relationships between the units. Remember to use multiplication or division depending on the direction of your conversion, and don’t hesitate to use tools like calculators or charts to help you!

Practice Questions

Easy Level Questions

1. Convert 1 mile to kilometres.
2. How many inches are in 1 foot?
3. Convert 100 centimetres to metres.
4. How many grams are in 1 kilogram?
5. Convert 5 litres to millilitres.
6. How many feet are in 2 yards?
7. Convert 10 miles to kilometres.
8. How many ounces are in 1 pound?
9. Convert 250 grams to kilograms.
10. How many millilitres are in 1 litre?
11. Convert 15 inches to centimetres.
12. How many ounces are in 2 pounds?
13. Convert 3 kilometres to miles.
14. How many metres are in 3 yards?
15. Convert 5 gallons to litres.
16. How many grams are in 0.5 kilograms?
17. Convert 20 feet to inches.
18. How many litres are in 500 millilitres?
19. Convert 75 pounds to kilograms.
20. How many metres are in 1 mile?

Medium Level Questions

1. Convert 10 miles to kilometres.
2. How many feet are in 3 miles?
3. Convert 500 grams to pounds.
4. How many ounces are in 3 pounds?
5. Convert 2.5 litres to millilitres.
6. How many yards are in 5 miles?
7. Convert 25 inches to centimetres.
8. How many grams are in 2.5 kilograms?
9. Convert 4 gallons to litres.
10. How many kilometres are in 10,000 metres?
11. Convert 12 pounds to kilograms.
12. How many inches are in 6 feet?
13. Convert 15 litres to gallons.
14. How many miles are in 20 kilometres?
15. Convert 1000 millilitres to litres.
16. How many metres are in 2 miles?
17. Convert 3.5 kilograms to pounds.
18. How many ounces are in 4 kilograms?
19. Convert 30 miles to kilometres.
20. How many feet are in 10 inches?

Hard Level Questions

1. Convert 50 kilometres to miles.
2. How many grams are in 5.5 pounds?
3. Convert 100 yards to metres.
4. How many litres are in 2 gallons and 3 pints?
5. Convert 1.5 miles to kilometres.
6. How many ounces are there in 3.5 kilograms?
7. Convert 2000 millilitres to gallons.
8. How many feet are in 500 inches?
9. Convert 75 kilograms to pounds.
10. How many miles are in 1500 metres?
11. Convert 3 gallons to litres.
12. How many centimetres are in 2.5 feet?
13. Convert 450 pounds to kilograms.
14. How many ounces are in 10 litres?
15. Convert 60 inches to metres.
16. How many miles are in 5,000 metres?
17. Convert 1.2 kilograms to pounds.
18. How many gallons are in 15 litres?
19. Convert 30 feet to yards.
20. How many grams are in 3.2 pounds?

Answers and Explanations

Easy Level Answers

1. 1.60934 km
2. 12 inches
3. 1 metre
4. 1000 grams
5. 5000 ml
6. 6 feet
7. 16.0934 km
8. 16 ounces
9. 0.25 kg
10. 1000 ml
11. 38.1 cm
12. 32 ounces
13. 1.864 km
14. 2.743 m
15. 18.9271 litres
16. 500 grams
17. 240 inches
18. 0.5 litres
19. 34.0194 kg
20. 1.60934 km

Medium Level Answers

1. 16.0934 km
2. 15,840 ft
3. 1.10231 lbs
4. 48 ounces
5. 2500 ml
6. 8,800 yards
7. 63.5 cm
8. 2500 grams
9. 15.1416 litres
10. 10 km
11. 5.443 lb
12. 72 inches
13. 3.962 gallons
14. 12.4274 miles
15. 1 litre
16. 3218.69 m
17. 7.717 lb
18. 141.095 ounces
19. 48.2803 km
20. 5 ft

Hard Level Answers

1. 31.0686 miles
2. 2.494 kg
3. 91.44 m
4. 9.46468 litres
5. 2.414 km
6. 123.456 ounces
7. 0.528 gallons
8. 41.67 ft
9. 34.0157 kg
10. 0.932 miles
11. 11.364 litres
12. 76.2 cm
13. 204.116 kg
14. 338.14 ounces
15. 1.524 m
16. 3.10686 miles
17. 2.64555 lbs
18. 3.962 gallons
19. 10 ft
20. 1360.78 grams

That’s it for today! Make sure to review the conversions and practice the questions at home. Happy calculating!