Class 5 Maths Mapping your Way Worksheet - Free Printable
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Step-by-step solution for: Class 5 Maths Mapping your Way Worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Class 5 Maths Mapping your Way Worksheet
Let’s solve Question 4 first, then Question 5.
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## ✔ Q.4: Complete the table
We are given a scale, an actual distance, and we need to find the distance on map (or vice versa).
The key idea is:
> Distance on Map = Actual Distance × Scale Factor
But note: the scale is given as “X cm = Y km”, so we need to convert actual distance into the same unit as the scale.
---
Actual Distance = 24 km
→ Distance on Map = 24 km × 0.5 cm/km = 12 cm
✔ Answer A: 12 cm
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Actual Distance = 15 km
→ Distance on Map = 15 km × 1 cm/km = 15 cm
✔ Answer B: 15 cm
---
Distance on Map = 40 cm → We need to find Actual Distance
→ Since 2 cm on map = 1 km actual,
then 1 cm on map = 0.5 km actual
→ 40 cm on map = 40 × 0.5 km = 20 km
✔ Answer C: 20 km
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Actual Distance = 36 km
→ Distance on Map = 36 km × 3 cm/km = 108 cm
✔ Answer D: 108 cm
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| | Scale | Actual Distance | Distance on Map |
|---|--------------|------------------|------------------|
| A | ½ cm = 1 km | 24 km | 12 cm |
| B | 1 cm = 1 km | 15 km | 15 cm |
| C | 2 cm = 1 km | 20 km | 40 cm |
| D | 3 cm = 1 km | 36 km | 108 cm |
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## ✔ Q.5: Use the grid and scale to find real-world dimensions
Given:
- Scale: 1 cm = 3 m
- Grid squares are 1 cm × 1 cm each
We need to measure each area’s length and width in cm on the map, then multiply by 3 to get meters.
Let’s go one by one:
---
Looking at the grid:
- It spans 4 cm wide (columns) and 2 cm high (rows)
→ Real width = 4 cm × 3 m/cm = 12 m
→ Real height = 2 cm × 3 m/cm = 6 m
✔ Garden Area: 12 m × 6 m
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- Width: 4 cm (from left edge to right edge of hall)
- Height: 4 cm (from top to bottom)
→ Real width = 4 × 3 = 12 m
→ Real height = 4 × 3 = 12 m
✔ Big Hall: 12 m × 12 m
---
- Width: 4 cm
- Height: 2 cm
→ Real width = 4 × 3 = 12 m
→ Real height = 2 × 3 = 6 m
✔ Gallery: 12 m × 6 m
---
- Width: 2 cm
- Height: 2 cm
→ Real width = 2 × 3 = 6 m
→ Real height = 2 × 3 = 6 m
✔ Room: 6 m × 6 m
---
- Width: 8 cm
- Height: 2 cm
→ Real width = 8 × 3 = 24 m
→ Real height = 2 × 3 = 6 m
✔ Parking Area: 24 m × 6 m
---
## 📝 Final Answers for Q.5:
| Area | Dimensions on Map (cm) | Real Dimensions (m) |
|--------------|------------------------|---------------------|
| Garden Area | 4 cm × 2 cm | 12 m × 6 m |
| Big Hall | 4 cm × 4 cm | 12 m × 12 m |
| Gallery | 4 cm × 2 cm | 12 m × 6 m |
| Room | 2 cm × 2 cm | 6 m × 6 m |
| Parking Area | 8 cm × 2 cm | 24 m × 6 m |
---
✔ All problems solved with clear explanations! Let me know if you’d like diagrams or further breakdowns.
---
## ✔ Q.4: Complete the table
We are given a scale, an actual distance, and we need to find the distance on map (or vice versa).
The key idea is:
> Distance on Map = Actual Distance × Scale Factor
But note: the scale is given as “X cm = Y km”, so we need to convert actual distance into the same unit as the scale.
---
A. Scale: ½ cm = 1 km → So, 1 km is represented by 0.5 cm on map
Actual Distance = 24 km
→ Distance on Map = 24 km × 0.5 cm/km = 12 cm
✔ Answer A: 12 cm
---
B. Scale: 1 cm = 1 km
Actual Distance = 15 km
→ Distance on Map = 15 km × 1 cm/km = 15 cm
✔ Answer B: 15 cm
---
C. Scale: 2 cm = 1 km → So, 1 km is represented by 2 cm on map
Distance on Map = 40 cm → We need to find Actual Distance
→ Since 2 cm on map = 1 km actual,
then 1 cm on map = 0.5 km actual
→ 40 cm on map = 40 × 0.5 km = 20 km
✔ Answer C: 20 km
---
D. Scale: 3 cm = 1 km → So, 1 km = 3 cm on map
Actual Distance = 36 km
→ Distance on Map = 36 km × 3 cm/km = 108 cm
✔ Answer D: 108 cm
---
📊 Final Completed Table for Q.4:
| | Scale | Actual Distance | Distance on Map |
|---|--------------|------------------|------------------|
| A | ½ cm = 1 km | 24 km | 12 cm |
| B | 1 cm = 1 km | 15 km | 15 cm |
| C | 2 cm = 1 km | 20 km | 40 cm |
| D | 3 cm = 1 km | 36 km | 108 cm |
---
## ✔ Q.5: Use the grid and scale to find real-world dimensions
Given:
- Scale: 1 cm = 3 m
- Grid squares are 1 cm × 1 cm each
We need to measure each area’s length and width in cm on the map, then multiply by 3 to get meters.
Let’s go one by one:
---
🔹 GARDEN AREA
Looking at the grid:
- It spans 4 cm wide (columns) and 2 cm high (rows)
→ Real width = 4 cm × 3 m/cm = 12 m
→ Real height = 2 cm × 3 m/cm = 6 m
✔ Garden Area: 12 m × 6 m
---
🔹 BIG HALL
- Width: 4 cm (from left edge to right edge of hall)
- Height: 4 cm (from top to bottom)
→ Real width = 4 × 3 = 12 m
→ Real height = 4 × 3 = 12 m
✔ Big Hall: 12 m × 12 m
---
🔹 GALLERY
- Width: 4 cm
- Height: 2 cm
→ Real width = 4 × 3 = 12 m
→ Real height = 2 × 3 = 6 m
✔ Gallery: 12 m × 6 m
---
🔹 ROOM (next to Gallery)
- Width: 2 cm
- Height: 2 cm
→ Real width = 2 × 3 = 6 m
→ Real height = 2 × 3 = 6 m
✔ Room: 6 m × 6 m
---
🔹 PARKING AREA
- Width: 8 cm
- Height: 2 cm
→ Real width = 8 × 3 = 24 m
→ Real height = 2 × 3 = 6 m
✔ Parking Area: 24 m × 6 m
---
## 📝 Final Answers for Q.5:
| Area | Dimensions on Map (cm) | Real Dimensions (m) |
|--------------|------------------------|---------------------|
| Garden Area | 4 cm × 2 cm | 12 m × 6 m |
| Big Hall | 4 cm × 4 cm | 12 m × 12 m |
| Gallery | 4 cm × 2 cm | 12 m × 6 m |
| Room | 2 cm × 2 cm | 6 m × 6 m |
| Parking Area | 8 cm × 2 cm | 24 m × 6 m |
---
✔ All problems solved with clear explanations! Let me know if you’d like diagrams or further breakdowns.
Parent Tip: Review the logic above to help your child master the concept of mapping math worksheet.
