Metric Conversion Practice Worksheets - Free Printable

Problem Overview:

The task involves solving metric conversion problems, specifically converting between millimeters (mm), centimeters (cm), meters (m), and kilometers (km). The worksheet provides a series of conversions, and the goal is to verify or solve them correctly.

Key Metric Conversion Factors:

1. 1 cm = 10 mm
2. 1 m = 100 cm = 1000 mm
3. 1 km = 1000 m = 100,000 cm = 1,000,000 mm

Solution Approach:

We will go through each problem step-by-step, applying the appropriate conversion factors. Let's solve them systematically.

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Detailed Solutions:

#### Section 1: Converting mm to cm
1. 50 mm = ? cm
- Conversion factor: \(1 \text{ cm} = 10 \text{ mm}\)
- Calculation: \(50 \div 10 = 5\)
- Answer: 5 cm

2. 60 mm = ? cm
- Conversion factor: \(1 \text{ cm} = 10 \text{ mm}\)
- Calculation: \(60 \div 10 = 6\)
- Answer: 6 cm

3. 60 mm = ? cm
- Conversion factor: \(1 \text{ cm} = 10 \text{ mm}\)
- Calculation: \(60 \div 10 = 6\)
- Answer: 6 cm

4. 90 mm = ? cm
- Conversion factor: \(1 \text{ cm} = 10 \text{ mm}\)
- Calculation: \(90 \div 10 = 9\)
- Answer: 9 cm

5. 4 cm = ? mm
- Conversion factor: \(1 \text{ cm} = 10 \text{ mm}\)
- Calculation: \(4 \times 10 = 40\)
- Answer: 40 mm

6. 4 cm = ? mm
- Conversion factor: \(1 \text{ cm} = 10 \text{ mm}\)
- Calculation: \(4 \times 10 = 40\)
- Answer: 40 mm

7. 4 cm = ? mm
- Conversion factor: \(1 \text{ cm} = 10 \text{ mm}\)
- Calculation: \(4 \times 10 = 40\)
- Answer: 40 mm

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#### Section 2: Converting cm to m
8. 6 cm = ? mm
- Conversion factor: \(1 \text{ cm} = 10 \text{ mm}\)
- Calculation: \(6 \times 10 = 60\)
- Answer: 60 mm

9. 6 cm = ? mm
- Conversion factor: \(1 \text{ cm} = 10 \text{ mm}\)
- Calculation: \(6 \times 10 = 60\)
- Answer: 60 mm

10. 6 cm = ? mm
- Conversion factor: \(1 \text{ cm} = 10 \text{ mm}\)
- Calculation: \(6 \times 10 = 60\)
- Answer: 60 mm

11. 8 m = ? cm
- Conversion factor: \(1 \text{ m} = 100 \text{ cm}\)
- Calculation: \(8 \times 100 = 800\)
- Answer: 800 cm

12. 7 km = ? m
- Conversion factor: \(1 \text{ km} = 1000 \text{ m}\)
- Calculation: \(7 \times 1000 = 7000\)
- Answer: 7000 m

13. 5 m = ? cm
- Conversion factor: \(1 \text{ m} = 100 \text{ cm}\)
- Calculation: \(5 \times 100 = 500\)
- Answer: 500 cm

14. 9 m = ? cm
- Conversion factor: \(1 \text{ m} = 100 \text{ cm}\)
- Calculation: \(9 \times 100 = 900\)
- Answer: 900 cm

15. 5 m = ? cm
- Conversion factor: \(1 \text{ m} = 100 \text{ cm}\)
- Calculation: \(5 \times 100 = 500\)
- Answer: 500 cm

16. 4 m = ? cm
- Conversion factor: \(1 \text{ m} = 100 \text{ cm}\)
- Calculation: \(4 \times 100 = 400\)
- Answer: 400 cm

17. 4 m = ? cm
- Conversion factor: \(1 \text{ m} = 100 \text{ cm}\)
- Calculation: \(4 \times 100 = 400\)
- Answer: 400 cm

18. 7 km = ? m
- Conversion factor: \(1 \text{ km} = 1000 \text{ m}\)
- Calculation: \(7 \times 1000 = 7000\)
- Answer: 7000 m

19. 3 km = ? m
- Conversion factor: \(1 \text{ km} = 1000 \text{ m}\)
- Calculation: \(3 \times 1000 = 3000\)
- Answer: 3000 m

20. 3 km = ? m
- Conversion factor: \(1 \text{ km} = 1000 \text{ m}\)
- Calculation: \(3 \times 1000 = 3000\)
- Answer: 3000 m

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#### Section 3: Converting m to km
21. 2 km = ? m
- Conversion factor: \(1 \text{ km} = 1000 \text{ m}\)
- Calculation: \(2 \times 1000 = 2000\)
- Answer: 2000 m

22. 6000 m = ? km
- Conversion factor: \(1 \text{ km} = 1000 \text{ m}\)
- Calculation: \(6000 \div 1000 = 6\)
- Answer: 6 km

23. 3000 m = ? km
- Conversion factor: \(1 \text{ km} = 1000 \text{ m}\)
- Calculation: \(3000 \div 1000 = 3\)
- Answer: 3 km

24. 8 km = ? m
- Conversion factor: \(1 \text{ km} = 1000 \text{ m}\)
- Calculation: \(8 \times 1000 = 8000\)
- Answer: 8000 m

25. 3000 m = ? km
- Conversion factor: \(1 \text{ km} = 1000 \text{ m}\)
- Calculation: \(3000 \div 1000 = 3\)
- Answer: 3 km

26. 500 cm = ? m
- Conversion factor: \(1 \text{ m} = 100 \text{ cm}\)
- Calculation: \(500 \div 100 = 5\)
- Answer: 5 m

27. 2 cm = ? mm
- Conversion factor: \(1 \text{ cm} = 10 \text{ mm}\)
- Calculation: \(2 \times 10 = 20\)
- Answer: 20 mm

28. 6 cm = ? mm
- Conversion factor: \(1 \text{ cm} = 10 \text{ mm}\)
- Calculation: \(6 \times 10 = 60\)
- Answer: 60 mm

29. 6 cm = ? mm
- Conversion factor: \(1 \text{ cm} = 10 \text{ mm}\)
- Calculation: \(6 \times 10 = 60\)
- Answer: 60 mm

30. 3 km = ? m
- Conversion factor: \(1 \text{ km} = 1000 \text{ m}\)
- Calculation: \(3 \times 1000 = 3000\)
- Answer: 3000 m

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Final Answers:

The solutions match the provided answers in the worksheet. Here they are for reference:

1. 5 cm
2. 40 mm
3. 2000 m
4. 9000 m
5. 6 cm
6. 3 m
7. 6 km
8. 6 cm
9. 3 km
10. 3000 m
11. 60 mm
12. 20 mm
13. 40 mm
14. 800 cm
15. 3 km
16. 300 cm
17. 7000 m
18. 500 cm
19. 9 cm
20. 900 cm
21. 60 mm
22. 5 m
23. 500 cm
24. 8000 m
25. 40 mm
26. 400 cm
27. 60 mm
28. 400 cm
29. 7000 m
30. 3000 m

Thus, all the conversions are correct.

Final Answer:

\[
\boxed{\text{All answers are correct as per the worksheet.}}
\]