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Step-by-step solution for: EasyTeaching.net | Resources for Teaching Primary School
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Show Answer Key & Explanations
Step-by-step solution for: EasyTeaching.net | Resources for Teaching Primary School
Let's solve each question step by step using the fitness course map and the scale provided.
---
The scale shows:
- Each square on the grid represents 5 meters.
So, if a path goes across 2 squares, it’s 2 × 5 = 10 meters.
We’ll count the number of squares between stations and multiply by 5 to get the distance in meters.
---
---
#### 1. How far is it from the push ups station to the sit ups station?
- From push ups to sit ups:
- Move right for 3 squares (horizontal).
- Then up for 1 square (vertical).
- But looking at the path: The route goes right 3 squares, then up 1 square.
- So total distance:
→ 3 + 1 = 4 squares
→ 4 × 5 = 20 meters
✔ Answer: 20 meters
---
#### 2. Kate is 65m around the course. What is the activity next?
First, let’s calculate the total length of the course (we'll do this later). But we can work backwards.
Let’s trace the course and calculate distances between each station:
| Segment | Squares | Distance (m) |
|--------|--------|-------------|
| Start → Sit ups | 1 down, 3 right | 1+3 = 4 → 20 m |
| Sit ups → Star jumps | 2 right, 1 up | 2+1 = 3 → 15 m |
| Star jumps → Hula hoops | 1 down, 2 left | 1+2 = 3 → 15 m |
| Hula hoops → Leg lifts | 1 down, 2 left | 1+2 = 3 → 15 m |
| Leg lifts → Squats | 1 down | 1 → 5 m |
| Squats → Skipping | 1 right | 1 → 5 m |
| Skipping → Stretching | 1 right | 1 → 5 m |
| Stretching → Finish | 1 right | 1 → 5 m |
Now add all distances:
- 20 + 15 + 15 + 15 + 5 + 5 + 5 + 5 = 85 meters
Total course = 85 meters
Kate has gone 65 meters.
Let’s find where she is:
- Start → Sit ups: 20 m (total so far: 20)
- Sit ups → Star jumps: 15 m → total: 35
- Star jumps → Hula hoops: 15 m → total: 50
- Hula hoops → Leg lifts: 15 m → total: 65
So after 65 meters, she finishes Leg lifts.
The next activity is Squats.
✔ Answer: Squats
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#### 3. After completing leg lifts, how far is it to the finish?
From Leg lifts to Finish:
- Leg lifts → Squats: 1 square (5 m)
- Squats → Skipping: 1 (5 m)
- Skipping → Stretching: 1 (5 m)
- Stretching → Finish: 1 (5 m)
Total: 4 × 5 = 20 meters
✔ Answer: 20 meters
---
#### 4. What is the distance between hula hoops and skipping?
Path:
- Hula hoops → Leg lifts: 1 down, 2 left → 3 squares → 15 m
- Leg lifts → Squats: 1 down → 5 m
- Squats → Skipping: 1 right → 5 m
So total:
15 + 5 + 5 = 25 meters
✔ Answer: 25 meters
---
#### 5. Between which two stations is the distance the longest?
Let’s check each segment:
| Segment | Distance |
|--------|---------|
| Start → Sit ups | 20 m |
| Sit ups → Star jumps | 15 m |
| Star jumps → Hula hoops | 15 m |
| Hula hoops → Leg lifts | 15 m |
| Leg lifts → Squats | 5 m |
| Squats → Skipping | 5 m |
| Skipping → Stretching | 5 m |
| Stretching → Finish | 5 m |
The longest segment is Start → Sit ups at 20 meters.
✔ Answer: Start to sit ups
---
#### 6. How much further is it from sit ups to star jumps than it is from leg lifts to squats?
- Sit ups → Star jumps: 15 m
- Leg lifts → Squats: 5 m
- Difference: 15 − 5 = 10 meters
✔ Answer: 10 meters
---
#### 7. What is the total length of the fitness course?
We already calculated this earlier:
20 + 15 + 15 + 15 + 5 + 5 + 5 + 5 = 85 meters
✔ Answer: 85 meters
---
1. 20 meters
2. Squats
3. 20 meters
4. 25 meters
5. Start to sit ups
6. 10 meters
7. 85 meters
Let me know if you'd like a visual breakdown or diagram!
---
🔍 Understanding the Scale
The scale shows:
- Each square on the grid represents 5 meters.
So, if a path goes across 2 squares, it’s 2 × 5 = 10 meters.
We’ll count the number of squares between stations and multiply by 5 to get the distance in meters.
---
🧩 Answering the Questions
---
#### 1. How far is it from the push ups station to the sit ups station?
- From push ups to sit ups:
- Move right for 3 squares (horizontal).
- Then up for 1 square (vertical).
- But looking at the path: The route goes right 3 squares, then up 1 square.
- So total distance:
→ 3 + 1 = 4 squares
→ 4 × 5 = 20 meters
✔ Answer: 20 meters
---
#### 2. Kate is 65m around the course. What is the activity next?
First, let’s calculate the total length of the course (we'll do this later). But we can work backwards.
Let’s trace the course and calculate distances between each station:
| Segment | Squares | Distance (m) |
|--------|--------|-------------|
| Start → Sit ups | 1 down, 3 right | 1+3 = 4 → 20 m |
| Sit ups → Star jumps | 2 right, 1 up | 2+1 = 3 → 15 m |
| Star jumps → Hula hoops | 1 down, 2 left | 1+2 = 3 → 15 m |
| Hula hoops → Leg lifts | 1 down, 2 left | 1+2 = 3 → 15 m |
| Leg lifts → Squats | 1 down | 1 → 5 m |
| Squats → Skipping | 1 right | 1 → 5 m |
| Skipping → Stretching | 1 right | 1 → 5 m |
| Stretching → Finish | 1 right | 1 → 5 m |
Now add all distances:
- 20 + 15 + 15 + 15 + 5 + 5 + 5 + 5 = 85 meters
Total course = 85 meters
Kate has gone 65 meters.
Let’s find where she is:
- Start → Sit ups: 20 m (total so far: 20)
- Sit ups → Star jumps: 15 m → total: 35
- Star jumps → Hula hoops: 15 m → total: 50
- Hula hoops → Leg lifts: 15 m → total: 65
So after 65 meters, she finishes Leg lifts.
The next activity is Squats.
✔ Answer: Squats
---
#### 3. After completing leg lifts, how far is it to the finish?
From Leg lifts to Finish:
- Leg lifts → Squats: 1 square (5 m)
- Squats → Skipping: 1 (5 m)
- Skipping → Stretching: 1 (5 m)
- Stretching → Finish: 1 (5 m)
Total: 4 × 5 = 20 meters
✔ Answer: 20 meters
---
#### 4. What is the distance between hula hoops and skipping?
Path:
- Hula hoops → Leg lifts: 1 down, 2 left → 3 squares → 15 m
- Leg lifts → Squats: 1 down → 5 m
- Squats → Skipping: 1 right → 5 m
So total:
15 + 5 + 5 = 25 meters
✔ Answer: 25 meters
---
#### 5. Between which two stations is the distance the longest?
Let’s check each segment:
| Segment | Distance |
|--------|---------|
| Start → Sit ups | 20 m |
| Sit ups → Star jumps | 15 m |
| Star jumps → Hula hoops | 15 m |
| Hula hoops → Leg lifts | 15 m |
| Leg lifts → Squats | 5 m |
| Squats → Skipping | 5 m |
| Skipping → Stretching | 5 m |
| Stretching → Finish | 5 m |
The longest segment is Start → Sit ups at 20 meters.
✔ Answer: Start to sit ups
---
#### 6. How much further is it from sit ups to star jumps than it is from leg lifts to squats?
- Sit ups → Star jumps: 15 m
- Leg lifts → Squats: 5 m
- Difference: 15 − 5 = 10 meters
✔ Answer: 10 meters
---
#### 7. What is the total length of the fitness course?
We already calculated this earlier:
20 + 15 + 15 + 15 + 5 + 5 + 5 + 5 = 85 meters
✔ Answer: 85 meters
---
✔ Final Answers:
1. 20 meters
2. Squats
3. 20 meters
4. 25 meters
5. Start to sit ups
6. 10 meters
7. 85 meters
Let me know if you'd like a visual breakdown or diagram!
Parent Tip: Review the logic above to help your child master the concept of scale maps worksheet.