Grade 5 Measurement Worksheet: Converting lengths between customary and metric units (including miles & km).

Sure! Let’s solve the worksheet step by step. This is a Grade 5 Measurement Worksheet focused on converting lengths between customary units (miles, feet, yards) and metric units (meters, kilometers).

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## 📏 Key Conversion Factors You Need:

Customary to Metric:

- 1 mile = 1609.34 meters ≈ 1.60934 km
- 1 yard = 0.9144 meters
- 1 foot = 0.3048 meters

Metric to Customary:

- 1 meter ≈ 3.28084 feet
- 1 meter ≈ 1.09361 yards
- 1 kilometer = 1000 meters ≈ 0.621371 miles

> For Grade 5, we usually use rounded values for simplicity unless otherwise specified. Commonly used approximations:
> - 1 mi ≈ 1.6 km
> - 1 km ≈ 0.62 mi
> - 1 yd ≈ 0.91 m
> - 1 ft ≈ 0.3 m
> - 1 m ≈ 3.3 ft
> - 1 m ≈ 1.1 yd

But since this is a math worksheet, let’s use more precise conversions as expected in school settings (often using 1 mi = 1609 m, 1 yd = 0.914 m, etc.), or sometimes exact conversions like 1 yd = 0.9144 m.

I’ll use standard conversion factors commonly taught at this level:

✔ Use these for accuracy:
- 1 mile = 1609.34 meters → but often rounded to 1609 m or 1.609 km
- 1 yard = 0.9144 meters
- 1 foot = 0.3048 meters
- 1 meter = 3.2808 feet
- 1 meter = 1.0936 yards
- 1 kilometer = 1000 meters

Let’s solve each problem one by one.

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## 🔢 Part 1: Convert to Metric Units

1. 344 mi = ______ m

→ 344 × 1609.34 = 553,612.96 m
✔ Rounded to nearest whole number: 553,613 m

2. 949 yd = ______ m

→ 949 × 0.9144 = 867.7776 m
✔ 868 m (rounded)

3. 243 ft = ______ m

→ 243 × 0.3048 = 74.0664 m
✔ 74.07 m (or 74 m if rounding to whole number — check worksheet context)

*Note: Some worksheets expect rounding to nearest whole number or one decimal. Since it’s Grade 5, I’ll round to nearest whole number unless decimals are shown.*

➡️ 74 m

4. 725 yd = ______ km

First convert yd → m → km

725 × 0.9144 = 662.94 m
662.94 ÷ 1000 = 0.66294 km
✔ 0.66 km (rounded to two decimals) or 0.7 km? Let’s see pattern.

Actually, 725 yd = 725 × 0.9144 = 662.94 m = 0.663 km → 0.66 km

5. 166 mi = ______ km

→ 166 × 1.60934 = 267.14044 km
✔ 267 km (rounded)

6. 641 yd = ______ m

→ 641 × 0.9144 = 586.1304 m
✔ 586 m

7. 985 ft = ______ km

First: ft → m → km

985 × 0.3048 = 300.228 m
300.228 ÷ 1000 = 0.300228 km
✔ 0.30 km

8. 966 ft = ______ m

→ 966 × 0.3048 = 294.4368 m
✔ 294 m

9. 599 yd = ______ km

599 × 0.9144 = 547.7256 m → 0.5477256 km
✔ 0.55 km

10. 928 mi = ______ km

→ 928 × 1.60934 = 1493.46752 km
✔ 1493 km

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## 🔄 Part 2: Convert to Customary Units

11. 58 m = ______ ft

→ 58 × 3.28084 ≈ 190.28872 ft
✔ 190 ft

12. 51 km = ______ yd

First: km → m → yd

51 km = 51,000 m
51,000 ÷ 0.9144 ≈ 55,774.278 yd
✔ 55,774 yd

*(Alternatively, 1 km ≈ 1093.61 yd → 51 × 1093.61 = 55,774.11 — same result)*

13. 56 km = ______ ft

56 km = 56,000 m
56,000 × 3.28084 ≈ 183,727.04 ft
✔ 183,727 ft

14. 39 m = ______ mi

First: m → km → mi

39 m = 0.039 km
0.039 × 0.621371 ≈ 0.024233469 mi
✔ 0.024 mi (or 0.02 mi if rounding to two decimals)

But 0.024 is more accurate → 0.024 mi

15. 27 km = ______ ft

27 km = 27,000 m
27,000 × 3.28084 ≈ 88,582.68 ft
✔ 88,583 ft

16. 59 m = ______ yd

→ 59 × 1.09361 ≈ 64.52299 yd
✔ 65 yd (rounded)

17. 75 km = ______ yd

75 km = 75,000 m
75,000 ÷ 0.9144 ≈ 82,020.997 yd
✔ 82,021 yd

18. 91 km = ______ yd

91 km = 91,000 m
91,000 ÷ 0.9144 ≈ 99,518.70 yd
✔ 99,519 yd

19. 93 km = ______ ft

93 km = 93,000 m
93,000 × 3.28084 ≈ 305,118.12 ft
✔ 305,118 ft

20. 41 m = ______ ft

→ 41 × 3.28084 ≈ 134.51444 ft
✔ 135 ft (rounded)

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## ✔ Final Answers (Rounded Appropriately for Grade 5):

Part 1: To Metric

1. 553,613 m
2. 868 m
3. 74 m
4. 0.66 km
5. 267 km
6. 586 m
7. 0.30 km
8. 294 m
9. 0.55 km
10. 1493 km

Part 2: To Customary

11. 190 ft
12. 55,774 yd
13. 183,727 ft
14. 0.024 mi
15. 88,583 ft
16. 65 yd
17. 82,021 yd
18. 99,519 yd
19. 305,118 ft
20. 135 ft

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## 🧠 Explanation Summary:

- We used standard conversion factors between customary and metric units.
- For length:
- Miles ↔ Kilometers (multiply/divide by ~1.609)
- Yards ↔ Meters (multiply/divide by 0.9144)
- Feet ↔ Meters (multiply/divide by 0.3048)
- Always convert step-by-step if needed (e.g., km → m → ft).
- Round answers appropriately — usually to nearest whole number or two decimal places depending on context.

This worksheet helps students understand how different measurement systems relate and practice unit conversion — a key skill in math and science!

Let me know if you’d like a printable version or step-by-step calculations for any specific problem! 😊