Line Graphs (A) Free Worksheet | Printable Maths Worksheets - Free Printable

Problem Overview:

The task involves working with line graphs. There are two main sections:

1. Section A: Draw line graphs based on the given data tables.
2. Section B: Complete tables using information from the provided line graphs and give titles for each graph.

Let's solve each part step by step.

---

Section A: Drawing Line Graphs

#### Graph 1: Jon's Weight from Birth to Age 6
- Data Table:
| Age (years) | 1 | 2 | 3 | 4 | 5 |
|-------------|---|---|---|---|---|
| Weight (kg) | 9 | 11 | 13 | 16 | 19 |

- Instructions:
- Plot the age on the x-axis and weight on the y-axis.
- Use the given grid to plot points and connect them with a line.

- Steps:
1. Label the x-axis as "Age (years)" and the y-axis as "Weight (kg)."
2. Mark the x-axis with ages 1, 2, 3, 4, 5, and 6.
3. Mark the y-axis with weights starting from 0 kg up to at least 20 kg.
4. Plot the points: (1, 9), (2, 11), (3, 13), (4, 16), (5, 19).
5. Connect the points with a smooth line.

#### Graph 2: Hours Mia Spent Doing Homework Each Day
- Data Table:
| Day | Mon | Tues | Wed | Thurs | Fri |
|-----------|-----|------|-----|-------|-----|
| Time (min)| 30 | 35 | 20 | 15 | 2 |

- Instructions:
- Plot the days on the x-axis and time (in minutes) on the y-axis.
- Use the given grid to plot points and connect them with a line.

- Steps:
1. Label the x-axis as "Day" and the y-axis as "Time (mins)."
2. Mark the x-axis with days: Mon, Tues, Wed, Thurs, Fri.
3. Mark the y-axis with time starting from 0 mins up to at least 40 mins.
4. Plot the points: (Mon, 30), (Tues, 35), (Wed, 20), (Thurs, 15), (Fri, 2).
5. Connect the points with a smooth line.

---

Section B: Completing Tables Using Line Graphs

#### Graph 1: Distance vs. Time
- Line Graph Description:
- The graph shows distance (in km) plotted against time (in hours).
- Points are marked at specific intervals.

- Table to Complete:
| Time Taken (hours) | | | | | |
|--------------------|---|---|---|---|---|
| Distance (miles) | | | | | |

- Steps:
1. Identify the coordinates of the marked points on the graph.
- Point 1: (1, 10)
- Point 2: (2, 20)
- Point 3: (3, 25)
- Point 4: (4, 35)
- Point 5: (5, 40)
2. Fill in the table with these values.
- Time Taken: 1, 2, 3, 4, 5
- Distance: 10, 20, 25, 35, 40

- Completed Table:
| Time Taken (hours) | 1 | 2 | 3 | 4 | 5 |
|--------------------|---|---|---|---|---|
| Distance (km) | 10| 20| 25| 35| 40|

#### Graph 2: Temperature vs. Time
- Line Graph Description:
- The graph shows temperature (in °C) plotted against time (in hours).
- Points are marked at specific intervals.

- Table to Complete:
| Time | | | | | |
|--------------|---|---|---|---|---|
| Temperature (°C) | | | | | |

- Steps:
1. Identify the coordinates of the marked points on the graph.
- Point 1: (1:00 pm, 2)
- Point 2: (2:00 pm, 4)
- Point 3: (3:00 pm, 7)
- Point 4: (4:00 pm, 8)
- Point 5: (5:00 pm, 7)
2. Fill in the table with these values.
- Time: 1:00 pm, 2:00 pm, 3:00 pm, 4:00 pm, 5:00 pm
- Temperature: 2, 4, 7, 8, 7

- Completed Table:
| Time | 1:00 pm | 2:00 pm | 3:00 pm | 4:00 pm | 5:00 pm |
|--------------|---------|---------|---------|---------|---------|
| Temperature (°C) | 2 | 4 | 7 | 8 | 7 |

---

Extension: Giving Titles for Each Line Graph in Section B

#### Graph 1: Distance vs. Time
- Title: "Distance Covered Over Time"

#### Graph 2: Temperature vs. Time
- Title: "Temperature Change Throughout the Afternoon"

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Final Answers

#### Section A
- Graph 1: Jon's weight from birth to age 6.
- Graph 2: Hours Mia spent doing homework each day.

#### Section B
- Graph 1 Table:
| Time Taken (hours) | 1 | 2 | 3 | 4 | 5 |
|--------------------|---|---|---|---|---|
| Distance (km) | 10| 20| 25| 35| 40|

- Graph 2 Table:
| Time | 1:00 pm | 2:00 pm | 3:00 pm | 4:00 pm | 5:00 pm |
|--------------|---------|---------|---------|---------|---------|
| Temperature (°C) | 2 | 4 | 7 | 8 | 7 |

#### Extension
- Graph 1 Title: "Distance Covered Over Time"
- Graph 2 Title: "Temperature Change Throughout the Afternoon"

Final Answer:
\[
\boxed{
\text{See detailed steps above for graphs and tables.}
}
\]