Printable primary math worksheet for math grades 1 to 6 based on ... - Free Printable
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Step-by-step solution for: Printable primary math worksheet for math grades 1 to 6 based on ...
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Show Answer Key & Explanations
Step-by-step solution for: Printable primary math worksheet for math grades 1 to 6 based on ...
Let's solve each question step by step using the map provided in the image.
---
- My house to supermarket: 650 m
- My house to ATM: 1 km 620 m = 1,620 m
- ATM to restaurant: 910 m
- Restaurant to fire station: 700 m
- Supermarket to fire station: 2 km 100 m = 2,100 m
We will now answer each question.
---
From the map:
650 meters
✔ Answer: 650 m
---
Given: 1 km 620 m
Convert km to meters:
1 km = 1,000 m → 1,000 + 620 = 1,620 m
✔ Answer: 1,620 meters
---
Given: 2 km 100 m
2 km = 2,000 m → 2,000 + 100 = 2,100 m
✔ Answer: 2,100 meters
---
We need to compare:
- Distance from ATM to restaurant: 910 m
- Distance from fire station to restaurant: 700 m
Since 700 m < 910 m, the fire station is closer.
✔ Answer: The fire station is closer to the restaurant.
---
There is no direct path shown between ATM and supermarket. We must go through either the house or the restaurant.
Let’s check possible routes:
#### Route 1: ATM → House → Supermarket
- ATM to house: 1,620 m
- House to supermarket: 650 m
→ Total = 1,620 + 650 = 2,270 m
#### Route 2: ATM → Restaurant → Fire Station → Supermarket
- ATM to restaurant: 910 m
- Restaurant to fire station: 700 m
- Fire station to supermarket: 2,100 m
→ Total = 910 + 700 + 2,100 = 3,710 m (much longer)
So the shortest route is via the house: 2,270 m
But wait — is there a direct path? No, so we assume only paths shown are valid.
✔ Answer: 2,270 meters (via house)
---
No direct path shown. Possible routes:
#### Route 1: Fire station → Restaurant → ATM → House
- Fire station to restaurant: 700 m
- Restaurant to ATM: 910 m
- ATM to house: 1,620 m
→ Total = 700 + 910 + 1,620 = 3,230 m
#### Route 2: Fire station → Supermarket → House
- Fire station to supermarket: 2,100 m
- Supermarket to house: 650 m
→ Total = 2,100 + 650 = 2,750 m
Compare both:
- 2,750 m vs. 3,230 m → 2,750 m is shorter
✔ Answer: 2,750 meters (via supermarket)
---
Assume you start at your house and visit each location once (no repeats), and return home? But it doesn’t say "return", so likely just visiting all places once, starting and ending at home.
We want the shortest total distance to visit all four locations:
- My house (start)
- Supermarket
- ATM
- Restaurant
- Fire station
We need to find the shortest path that visits all locations once, starting and ending at home.
Let’s consider possible efficient routes.
We know:
- House → Supermarket: 650 m
- House → ATM: 1,620 m
- ATM → Restaurant: 910 m
- Restaurant → Fire station: 700 m
- Supermarket → Fire station: 2,100 m
Try this logical route:
House → Supermarket → Fire station → Restaurant → ATM → House
Check distances:
1. House → Supermarket: 650 m
2. Supermarket → Fire station: 2,100 m
3. Fire station → Restaurant: 700 m
4. Restaurant → ATM: 910 m
5. ATM → House: 1,620 m
Total = 650 + 2,100 + 700 + 910 + 1,620 =
= 650 + 2,100 = 2,750
+ 700 = 3,450
+ 910 = 4,360
+ 1,620 = 5,980 m
Is there a better route?
Try: House → ATM → Restaurant → Fire station → Supermarket → House
1. House → ATM: 1,620 m
2. ATM → Restaurant: 910 m
3. Restaurant → Fire station: 700 m
4. Fire station → Supermarket: 2,100 m
5. Supermarket → House: 650 m
Total = 1,620 + 910 = 2,530
+ 700 = 3,230
+ 2,100 = 5,330
+ 650 = 5,980 m → same as before
Another route: House → Supermarket → ATM → Restaurant → Fire station → House
But is there a direct path from supermarket to ATM? Not shown. So must go via house or other nodes.
So from supermarket → ATM: must go via house:
Supermarket → House → ATM = 650 + 1,620 = 2,270 m → too long.
Alternatively: Supermarket → Fire station → Restaurant → ATM → House
But then we’re going back.
Let’s try: House → Supermarket → Fire station → Restaurant → ATM → House (already tried: 5,980 m)
Or: House → ATM → Restaurant → Fire station → Supermarket → House
Same as above: 5,980 m
Can we avoid double back?
Wait — what if we go:
House → ATM → Restaurant → Fire station → Supermarket → House
That’s same as before.
Is there a way to reduce?
Notice:
- Supermarket → Fire station = 2,100 m
- ATM → Restaurant = 910 m
- Restaurant → Fire station = 700 m
- House → Supermarket = 650 m
- House → ATM = 1,620 m
But the best way might be:
Try: House → Supermarket → Fire station → Restaurant → ATM → House
We already did: 650 + 2,100 + 700 + 910 + 1,620 = 5,980 m
Try: House → ATM → Restaurant → Fire station → Supermarket → House
1,620 + 910 + 700 + 2,100 + 650 = same total: 5,980 m
Any other route?
Try: House → Supermarket → ATM → House → Restaurant → Fire station — but that would repeat house and not efficient.
No, we need to visit each once.
So all routes seem to require similar distances.
But notice: can we go House → Supermarket → Fire station → Restaurant → ATM → House?
Yes — that’s valid.
But is there a shorter route?
What if we go:
House → ATM → Restaurant → Fire station → Supermarket → House
Same total: 5,980 m
So regardless of order, due to connections, we end up with the same total?
Wait — let's see if we can use shorter paths.
But no direct path between ATM and supermarket, or ATM and fire station, etc.
So every route must include:
- From house to either ATM or supermarket
- Then connect through others
But the minimum total seems to be 5,980 meters, since all paths involve the same segments.
But let’s confirm:
Suppose we do:
House → Supermarket → Fire station → Restaurant → ATM → House
Segments:
- House → Supermarket: 650
- Supermarket → Fire station: 2,100
- Fire station → Restaurant: 700
- Restaurant → ATM: 910
- ATM → House: 1,620
Sum:
650 + 2,100 = 2,750
+ 700 = 3,450
+ 910 = 4,360
+ 1,620 = 5,980 m
Now, another possibility: House → ATM → Restaurant → Fire station → Supermarket → House
- House → ATM: 1,620
- ATM → Restaurant: 910
- Restaurant → Fire station: 700
- Fire station → Supermarket: 2,100
- Supermarket → House: 650
Sum: 1,620 + 910 = 2,530
+ 700 = 3,230
+ 2,100 = 5,330
+ 650 = 5,980 m
Same total.
So all possible routes that visit each place once and return home sum to 5,980 meters.
But does the question ask to return home?
It says: "How much will you have to walk to go to all functions once?"
This usually means visit each location once, but not necessarily return home.
So maybe we can end at any location, not necessarily home.
Then we can save the last leg.
Best case: Start at house, visit all others, and end at one of them.
To minimize walking, we should end at the closest location.
So let's find the shortest path that starts at house and visits all four locations (supermarket, ATM, restaurant, fire station) exactly once.
Let’s try:
Route: House → Supermarket → Fire station → Restaurant → ATM
Starts at house, ends at ATM.
Distances:
- House → Supermarket: 650
- Supermarket → Fire station: 2,100
- Fire station → Restaurant: 700
- Restaurant → ATM: 910
Total = 650 + 2,100 + 700 + 910 = 4,360 m
Is this valid? Yes, all connections exist.
Can we do better?
Try: House → ATM → Restaurant → Fire station → Supermarket
- House → ATM: 1,620
- ATM → Restaurant: 910
- Restaurant → Fire station: 700
- Fire station → Supermarket: 2,100
Total = 1,620 + 910 = 2,530
+ 700 = 3,230
+ 2,100 = 5,330 m → worse
Try: House → Supermarket → ATM → Restaurant → Fire station
But no direct path from supermarket to ATM.
Must go: Supermarket → House → ATM → Restaurant → Fire station
But that goes back to house → invalid (visits house twice).
So cannot go directly.
So only way is to go through existing paths.
Try: House → ATM → Restaurant → Fire station → Supermarket
As above: 5,330 m → worse than 4,360
Try: House → Supermarket → Fire station → Restaurant → ATM → 4,360 m
Try: House → ATM → Restaurant → Fire station → Supermarket → 5,330 m
Try: House → Supermarket → Fire station → Restaurant → ATM → 4,360 m
Try: House → ATM → Restaurant → Fire station → Supermarket → 5,330 m
Try: House → Supermarket → ATM → ... — again, no direct link.
So only viable paths are those that go through the network.
Best is House → Supermarket → Fire station → Restaurant → ATM = 4,360 m
But can we do:
House → ATM → Restaurant → Fire station → Supermarket — 5,330 m → worse
Or House → Supermarket → Fire station → Restaurant → ATM — 4,360 m
Is there a route like: House → ATM → Restaurant → Fire station → Supermarket — no, same as above
Wait — what about House → ATM → Restaurant → Fire station → Supermarket — yes, but longer
So 4,360 m is better.
But is there a route that avoids the long 2,100 m segment?
No — because supermarket to fire station is 2,100 m, and no shorter path shown.
But what if we go from supermarket → house → ATM → restaurant → fire station?
That would be:
- Supermarket → house: 650
- House → ATM: 1,620
- ATM → restaurant: 910
- Restaurant → fire station: 700
Total = 650 + 1,620 = 2,270
+ 910 = 3,180
+ 700 = 3,880 m
But we started at supermarket, not house.
We must start at house.
So if we start at house:
House → Supermarket → House → ATM → Restaurant → Fire station — but we revisit house → not allowed (must visit each function once, not revisit)
So not allowed.
Therefore, the best route is:
House → Supermarket → Fire station → Restaurant → ATM
= 650 + 2,100 + 700 + 910 = 4,360 m
Alternative: House → ATM → Restaurant → Fire station → Supermarket = 1,620 + 910 + 700 + 2,100 = 5,330 m
So 4,360 m is better.
Is there a route that ends at fire station?
House → Supermarket → Fire station → Restaurant → ATM — ends at ATM
Or House → ATM → Restaurant → Fire station → Supermarket — ends at supermarket
But we can't skip any.
So best is 4,360 m
But wait — what about House → ATM → Restaurant → Fire station → Supermarket? Still 5,330 m
No.
So the shortest path visiting all locations once (starting at house) is:
House → Supermarket → Fire station → Restaurant → ATM = 4,360 m
But is there a route that skips the 2,100 m?
No — unless we go via house.
For example: House → Supermarket → House → ATM → Restaurant → Fire station — but revisits house → not allowed.
So no.
Thus, the shortest path is 4,360 meters
But the problem says "go to all functions once" — it doesn't specify returning home, so we can end at any point.
So answer is 4,360 meters
But let’s check if we can do better.
Wait — what about:
House → ATM → Restaurant → Fire station → Supermarket
= 1,620 + 910 + 700 + 2,100 = 5,330 m → worse
Or House → Supermarket → Fire station → Restaurant → ATM = 650 + 2,100 + 700 + 910 = 4,360 m
Yes.
But is there a path from supermarket to restaurant? No.
So no shortcut.
So final answer for Q7: 4,360 meters
But let's confirm: do we have to go to all four locations?
Yes: supermarket, ATM, restaurant, fire station.
All visited.
And start at house.
So yes.
✔ Answer: 4,360 meters
---
1. 650 meters
2. 1,620 meters
3. 2,100 meters
4. The fire station is closer to the restaurant.
5. 2,270 meters (via house)
6. 2,750 meters (via supermarket)
7. 4,360 meters (route: House → Supermarket → Fire station → Restaurant → ATM)
---
Let me know if you'd like a diagram or explanation for the route!
---
Map Information Summary:
- My house to supermarket: 650 m
- My house to ATM: 1 km 620 m = 1,620 m
- ATM to restaurant: 910 m
- Restaurant to fire station: 700 m
- Supermarket to fire station: 2 km 100 m = 2,100 m
We will now answer each question.
---
1. How far is the supermarket from my house?
From the map:
650 meters
✔ Answer: 650 m
---
2. How many meters is the ATM from my house?
Given: 1 km 620 m
Convert km to meters:
1 km = 1,000 m → 1,000 + 620 = 1,620 m
✔ Answer: 1,620 meters
---
3. How far is the supermarket from the fire station?
Given: 2 km 100 m
2 km = 2,000 m → 2,000 + 100 = 2,100 m
✔ Answer: 2,100 meters
---
4. Is the ATM or the fire station closer to the restaurant?
We need to compare:
- Distance from ATM to restaurant: 910 m
- Distance from fire station to restaurant: 700 m
Since 700 m < 910 m, the fire station is closer.
✔ Answer: The fire station is closer to the restaurant.
---
5. What is the shortest distance between the ATM and the supermarket?
There is no direct path shown between ATM and supermarket. We must go through either the house or the restaurant.
Let’s check possible routes:
#### Route 1: ATM → House → Supermarket
- ATM to house: 1,620 m
- House to supermarket: 650 m
→ Total = 1,620 + 650 = 2,270 m
#### Route 2: ATM → Restaurant → Fire Station → Supermarket
- ATM to restaurant: 910 m
- Restaurant to fire station: 700 m
- Fire station to supermarket: 2,100 m
→ Total = 910 + 700 + 2,100 = 3,710 m (much longer)
So the shortest route is via the house: 2,270 m
But wait — is there a direct path? No, so we assume only paths shown are valid.
✔ Answer: 2,270 meters (via house)
---
6. What is the shortest distance between the fire station and my house?
No direct path shown. Possible routes:
#### Route 1: Fire station → Restaurant → ATM → House
- Fire station to restaurant: 700 m
- Restaurant to ATM: 910 m
- ATM to house: 1,620 m
→ Total = 700 + 910 + 1,620 = 3,230 m
#### Route 2: Fire station → Supermarket → House
- Fire station to supermarket: 2,100 m
- Supermarket to house: 650 m
→ Total = 2,100 + 650 = 2,750 m
Compare both:
- 2,750 m vs. 3,230 m → 2,750 m is shorter
✔ Answer: 2,750 meters (via supermarket)
---
7. How much will you have to walk to go to all functions once?
Assume you start at your house and visit each location once (no repeats), and return home? But it doesn’t say "return", so likely just visiting all places once, starting and ending at home.
We want the shortest total distance to visit all four locations:
- My house (start)
- Supermarket
- ATM
- Restaurant
- Fire station
We need to find the shortest path that visits all locations once, starting and ending at home.
Let’s consider possible efficient routes.
We know:
- House → Supermarket: 650 m
- House → ATM: 1,620 m
- ATM → Restaurant: 910 m
- Restaurant → Fire station: 700 m
- Supermarket → Fire station: 2,100 m
Try this logical route:
House → Supermarket → Fire station → Restaurant → ATM → House
Check distances:
1. House → Supermarket: 650 m
2. Supermarket → Fire station: 2,100 m
3. Fire station → Restaurant: 700 m
4. Restaurant → ATM: 910 m
5. ATM → House: 1,620 m
Total = 650 + 2,100 + 700 + 910 + 1,620 =
= 650 + 2,100 = 2,750
+ 700 = 3,450
+ 910 = 4,360
+ 1,620 = 5,980 m
Is there a better route?
Try: House → ATM → Restaurant → Fire station → Supermarket → House
1. House → ATM: 1,620 m
2. ATM → Restaurant: 910 m
3. Restaurant → Fire station: 700 m
4. Fire station → Supermarket: 2,100 m
5. Supermarket → House: 650 m
Total = 1,620 + 910 = 2,530
+ 700 = 3,230
+ 2,100 = 5,330
+ 650 = 5,980 m → same as before
Another route: House → Supermarket → ATM → Restaurant → Fire station → House
But is there a direct path from supermarket to ATM? Not shown. So must go via house or other nodes.
So from supermarket → ATM: must go via house:
Supermarket → House → ATM = 650 + 1,620 = 2,270 m → too long.
Alternatively: Supermarket → Fire station → Restaurant → ATM → House
But then we’re going back.
Let’s try: House → Supermarket → Fire station → Restaurant → ATM → House (already tried: 5,980 m)
Or: House → ATM → Restaurant → Fire station → Supermarket → House
Same as above: 5,980 m
Can we avoid double back?
Wait — what if we go:
House → ATM → Restaurant → Fire station → Supermarket → House
That’s same as before.
Is there a way to reduce?
Notice:
- Supermarket → Fire station = 2,100 m
- ATM → Restaurant = 910 m
- Restaurant → Fire station = 700 m
- House → Supermarket = 650 m
- House → ATM = 1,620 m
But the best way might be:
Try: House → Supermarket → Fire station → Restaurant → ATM → House
We already did: 650 + 2,100 + 700 + 910 + 1,620 = 5,980 m
Try: House → ATM → Restaurant → Fire station → Supermarket → House
1,620 + 910 + 700 + 2,100 + 650 = same total: 5,980 m
Any other route?
Try: House → Supermarket → ATM → House → Restaurant → Fire station — but that would repeat house and not efficient.
No, we need to visit each once.
So all routes seem to require similar distances.
But notice: can we go House → Supermarket → Fire station → Restaurant → ATM → House?
Yes — that’s valid.
But is there a shorter route?
What if we go:
House → ATM → Restaurant → Fire station → Supermarket → House
Same total: 5,980 m
So regardless of order, due to connections, we end up with the same total?
Wait — let's see if we can use shorter paths.
But no direct path between ATM and supermarket, or ATM and fire station, etc.
So every route must include:
- From house to either ATM or supermarket
- Then connect through others
But the minimum total seems to be 5,980 meters, since all paths involve the same segments.
But let’s confirm:
Suppose we do:
House → Supermarket → Fire station → Restaurant → ATM → House
Segments:
- House → Supermarket: 650
- Supermarket → Fire station: 2,100
- Fire station → Restaurant: 700
- Restaurant → ATM: 910
- ATM → House: 1,620
Sum:
650 + 2,100 = 2,750
+ 700 = 3,450
+ 910 = 4,360
+ 1,620 = 5,980 m
Now, another possibility: House → ATM → Restaurant → Fire station → Supermarket → House
- House → ATM: 1,620
- ATM → Restaurant: 910
- Restaurant → Fire station: 700
- Fire station → Supermarket: 2,100
- Supermarket → House: 650
Sum: 1,620 + 910 = 2,530
+ 700 = 3,230
+ 2,100 = 5,330
+ 650 = 5,980 m
Same total.
So all possible routes that visit each place once and return home sum to 5,980 meters.
But does the question ask to return home?
It says: "How much will you have to walk to go to all functions once?"
This usually means visit each location once, but not necessarily return home.
So maybe we can end at any location, not necessarily home.
Then we can save the last leg.
Best case: Start at house, visit all others, and end at one of them.
To minimize walking, we should end at the closest location.
So let's find the shortest path that starts at house and visits all four locations (supermarket, ATM, restaurant, fire station) exactly once.
Let’s try:
Route: House → Supermarket → Fire station → Restaurant → ATM
Starts at house, ends at ATM.
Distances:
- House → Supermarket: 650
- Supermarket → Fire station: 2,100
- Fire station → Restaurant: 700
- Restaurant → ATM: 910
Total = 650 + 2,100 + 700 + 910 = 4,360 m
Is this valid? Yes, all connections exist.
Can we do better?
Try: House → ATM → Restaurant → Fire station → Supermarket
- House → ATM: 1,620
- ATM → Restaurant: 910
- Restaurant → Fire station: 700
- Fire station → Supermarket: 2,100
Total = 1,620 + 910 = 2,530
+ 700 = 3,230
+ 2,100 = 5,330 m → worse
Try: House → Supermarket → ATM → Restaurant → Fire station
But no direct path from supermarket to ATM.
Must go: Supermarket → House → ATM → Restaurant → Fire station
But that goes back to house → invalid (visits house twice).
So cannot go directly.
So only way is to go through existing paths.
Try: House → ATM → Restaurant → Fire station → Supermarket
As above: 5,330 m → worse than 4,360
Try: House → Supermarket → Fire station → Restaurant → ATM → 4,360 m
Try: House → ATM → Restaurant → Fire station → Supermarket → 5,330 m
Try: House → Supermarket → Fire station → Restaurant → ATM → 4,360 m
Try: House → ATM → Restaurant → Fire station → Supermarket → 5,330 m
Try: House → Supermarket → ATM → ... — again, no direct link.
So only viable paths are those that go through the network.
Best is House → Supermarket → Fire station → Restaurant → ATM = 4,360 m
But can we do:
House → ATM → Restaurant → Fire station → Supermarket — 5,330 m → worse
Or House → Supermarket → Fire station → Restaurant → ATM — 4,360 m
Is there a route like: House → ATM → Restaurant → Fire station → Supermarket — no, same as above
Wait — what about House → ATM → Restaurant → Fire station → Supermarket — yes, but longer
So 4,360 m is better.
But is there a route that avoids the long 2,100 m segment?
No — because supermarket to fire station is 2,100 m, and no shorter path shown.
But what if we go from supermarket → house → ATM → restaurant → fire station?
That would be:
- Supermarket → house: 650
- House → ATM: 1,620
- ATM → restaurant: 910
- Restaurant → fire station: 700
Total = 650 + 1,620 = 2,270
+ 910 = 3,180
+ 700 = 3,880 m
But we started at supermarket, not house.
We must start at house.
So if we start at house:
House → Supermarket → House → ATM → Restaurant → Fire station — but we revisit house → not allowed (must visit each function once, not revisit)
So not allowed.
Therefore, the best route is:
House → Supermarket → Fire station → Restaurant → ATM
= 650 + 2,100 + 700 + 910 = 4,360 m
Alternative: House → ATM → Restaurant → Fire station → Supermarket = 1,620 + 910 + 700 + 2,100 = 5,330 m
So 4,360 m is better.
Is there a route that ends at fire station?
House → Supermarket → Fire station → Restaurant → ATM — ends at ATM
Or House → ATM → Restaurant → Fire station → Supermarket — ends at supermarket
But we can't skip any.
So best is 4,360 m
But wait — what about House → ATM → Restaurant → Fire station → Supermarket? Still 5,330 m
No.
So the shortest path visiting all locations once (starting at house) is:
House → Supermarket → Fire station → Restaurant → ATM = 4,360 m
But is there a route that skips the 2,100 m?
No — unless we go via house.
For example: House → Supermarket → House → ATM → Restaurant → Fire station — but revisits house → not allowed.
So no.
Thus, the shortest path is 4,360 meters
But the problem says "go to all functions once" — it doesn't specify returning home, so we can end at any point.
So answer is 4,360 meters
But let’s check if we can do better.
Wait — what about:
House → ATM → Restaurant → Fire station → Supermarket
= 1,620 + 910 + 700 + 2,100 = 5,330 m → worse
Or House → Supermarket → Fire station → Restaurant → ATM = 650 + 2,100 + 700 + 910 = 4,360 m
Yes.
But is there a path from supermarket to restaurant? No.
So no shortcut.
So final answer for Q7: 4,360 meters
But let's confirm: do we have to go to all four locations?
Yes: supermarket, ATM, restaurant, fire station.
All visited.
And start at house.
So yes.
✔ Answer: 4,360 meters
---
✔ Final Answers:
1. 650 meters
2. 1,620 meters
3. 2,100 meters
4. The fire station is closer to the restaurant.
5. 2,270 meters (via house)
6. 2,750 meters (via supermarket)
7. 4,360 meters (route: House → Supermarket → Fire station → Restaurant → ATM)
---
Let me know if you'd like a diagram or explanation for the route!
Parent Tip: Review the logic above to help your child master the concept of distance worksheet.