Metric Conversions Worksheet | Printable Maths Worksheets - Free Printable

Let's solve each section of the Metric Conversions worksheet step by step, explaining the conversions clearly.

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🔷 Section A: Length Conversions (mm, cm, m, km)

We use these conversion factors:
- 10 mm = 1 cm
- 100 cm = 1 m
- 1000 m = 1 km

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#### ✔ Millimetres to Centimetres

| Millimetres | Centimetres |
|-------------|-------------|
| 30 mm | 30 ÷ 10 = 3 cm |
| 80 mm | 80 ÷ 10 = 8 cm |
| 200 mm | 200 ÷ 10 = 20 cm |
| | 7 cm → 7 × 10 = 70 mm |
| | 9.4 cm → 9.4 × 10 = 94 mm |
| | 13.8 cm → 13.8 × 10 = 138 mm |

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#### ✔ Centimetres to Metres

| Centimetres | Metres |
|-------------|--------|
| 200 cm | 200 ÷ 100 = 2 m |
| 420 cm | 420 ÷ 100 = 4.2 m |
| 85 cm | 85 ÷ 100 = 0.85 m |
| | 4 m → 4 × 100 = 400 cm |
| | 8.9 m → 8.9 × 100 = 890 cm |
| | 0.5 m → 0.5 × 100 = 50 cm |

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#### ✔ Metres to Kilometres

| Metres | Kilometres |
|------------|------------|
| 4000 m | 4000 ÷ 1000 = 4 km |
| 5800 m | 5800 ÷ 1000 = 5.8 km |
| 900 m | 900 ÷ 1000 = 0.9 km |
| | 7 km → 7 × 1000 = 7000 m |
| | 8.3 km → 8.3 × 1000 = 8300 m |
| | 15 km → 15 × 1000 = 15000 m |

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🔷 Section B: Mass Conversions (g and kg)

Conversion factor:
- 1000 g = 1 kg

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#### ✔ Grams to Kilograms

| Grams | Kilograms |
|---------|-----------|
| 5000 g | 5000 ÷ 1000 = 5 kg |
| 10000 g | 10000 ÷ 1000 = 10 kg |
| 1220 g | 1220 ÷ 1000 = 1.22 kg |
| 3010 g | 3010 ÷ 1000 = 3.01 kg |
| 738 g | 738 ÷ 1000 = 0.738 kg |

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#### ✔ Kilograms to Grams

| Grams | Kilograms |
|-----------|-----------|
| | 6.05 kg → 6.05 × 1000 = 6050 g |
| | 170 kg → 170 × 1000 = 170000 g |
| | 50 kg → 50 × 1000 = 50000 g |
| | 21.4 kg → 21.4 × 1000 = 21400 g |
| | 0.371 kg → 0.371 × 1000 = 371 g |

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🔷 Section C: Complete the table so each row is equal

We convert between units using standard relationships.

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#### ✔ Millimetres ↔ Metres

| Millimetres | Metres |
|-------------|--------|
| 8000 mm | 8000 ÷ 1000 = 8 m |
| 73300 mm | 73300 ÷ 1000 = 73.3 m |
| 600 mm | 600 ÷ 1000 = 0.6 m |
| | 6 m → 6 × 1000 = 6000 mm |
| | 14.4 m → 14.4 × 1000 = 14400 mm |
| | 0.07 m → 0.07 × 1000 = 70 mm |

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#### ✔ Centimetres ↔ Kilometres

| Centimetres | Kilometres |
|-------------|------------|
| 100000 cm | 100000 ÷ 100 = 1000 m → 1000 ÷ 1000 = 1 km |
| 42000 cm | 42000 ÷ 100 = 420 m → 420 ÷ 1000 = 0.42 km |
| 340 cm | 340 ÷ 100 = 3.4 m → 3.4 ÷ 1000 = 0.0034 km |
| | 5 km → 5 × 1000 = 5000 m → 5000 × 100 = 500000 cm |
| | 17.1 km → 17.1 × 1000 = 17100 m → 17100 × 100 = 1,710,000 cm |
| | 0.0058 km → 0.0058 × 1000 = 5.8 m → 5.8 × 100 = 580 cm |

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🔷 Section D: Word Problems

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#### 1) Total weight of three baby koalas

Weights:
- 0.5 kg
- 0.616 kg
- 706 g → convert to kg: 706 ÷ 1000 = 0.706 kg

##### a. In kilograms:

Total = 0.5 + 0.616 + 0.706 = 1.822 kg

##### b. In grams:

Convert total to grams:
1.822 kg × 1000 = 1822 grams

✔ Answer:
a. 1.822 kg
b. 1822 g

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#### 2) Distance run by athlete

Laps: 8.5
Track length: 400 m

Total distance = 8.5 × 400 = 3400 metres

##### a. In kilometres:

3400 m ÷ 1000 = 3.4 km

##### b. In centimetres:

3400 m × 100 = 340,000 cm

✔ Answer:
a. 3.4 km
b. 340,000 cm

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✔ Final Answer Summary:

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#### Section A:
- mm → cm: 3 cm, 8 cm, 20 cm, 70 mm, 94 mm, 138 mm
- cm → m: 2 m, 4.2 m, 0.85 m, 400 cm, 890 cm, 50 cm
- m → km: 4 km, 5.8 km, 0.9 km, 7000 m, 8300 m, 15000 m

#### Section B:
- g → kg: 5 kg, 10 kg, 1.22 kg, 3.01 kg, 0.738 kg
- kg → g: 6050 g, 170000 g, 50000 g, 21400 g, 371 g

#### Section C:
- mm ↔ m: 8 m, 73.3 m, 0.6 m, 6000 mm, 14400 mm, 70 mm
- cm ↔ km: 1 km, 0.42 km, 0.0034 km, 500000 cm, 1,710,000 cm, 580 cm

#### Section D:
1. a. 1.822 kg
b. 1822 g
2. a. 3.4 km
b. 340,000 cm

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