Pie Charts — Travelling to School: Foundation (Year 6) | CGP Plus - Free Printable

Problem Analysis:

The task involves analyzing two pie charts representing the modes of transportation used by children in Year 3 and Year 6 to travel to school. The key for the pie charts is provided, showing four categories: Walk, Cycle, Car, and Bus. We need to answer specific questions based on the data presented in the charts.

#### Key Information:
- Year 3: Total children = 64
- Year 6: Total children = 56
- Pie Chart Segments:
- Each segment represents a fraction of the total number of children.
- The segments are color-coded according to the key.

Step-by-Step Solution:

#### 1. What fraction of children in Year 3 cycle to school?
- From the pie chart for Year 3, the green segment (Cycle) appears to represent 2 out of 8 equal parts.
- Therefore, the fraction of children who cycle to school is:
\[
\frac{2}{8} = \frac{1}{4}
\]

#### 2. How many children in Year 3 cycle to school?
- We know that the fraction of children who cycle is \(\frac{1}{4}\).
- Total children in Year 3 = 64.
- Number of children who cycle:
\[
\frac{1}{4} \times 64 = 16
\]

#### 3. What fraction of children in Year 6 walk to school?
- From the pie chart for Year 6, the orange segment (Walk) appears to represent 3 out of 8 equal parts.
- Therefore, the fraction of children who walk to school is:
\[
\frac{3}{8}
\]

#### 4. How many children in Year 6 walk to school?
- We know that the fraction of children who walk is \(\frac{3}{8}\).
- Total children in Year 6 = 56.
- Number of children who walk:
\[
\frac{3}{8} \times 56 = 21
\]

#### 5. How many more children walk to school in Year 6 than in Year 3?
- From the pie chart for Year 3, the orange segment (Walk) appears to represent 2 out of 8 equal parts.
- Fraction of children who walk in Year 3:
\[
\frac{2}{8} = \frac{1}{4}
\]
- Number of children who walk in Year 3:
\[
\frac{1}{4} \times 64 = 16
\]
- Number of children who walk in Year 6 (from Question 4):
\[
21
\]
- Difference:
\[
21 - 16 = 5
\]

#### 6. How many more children go to school in the car in Year 3 than in Year 6?
- From the pie chart for Year 3, the blue segment (Car) appears to represent 2 out of 8 equal parts.
- Fraction of children who use a car in Year 3:
\[
\frac{2}{8} = \frac{1}{4}
\]
- Number of children who use a car in Year 3:
\[
\frac{1}{4} \times 64 = 16
\]
- From the pie chart for Year 6, the blue segment (Car) appears to represent 1 out of 8 equal parts.
- Fraction of children who use a car in Year 6:
\[
\frac{1}{8}
\]
- Number of children who use a car in Year 6:
\[
\frac{1}{8} \times 56 = 7
\]
- Difference:
\[
16 - 7 = 9
\]

#### 7. How many children in Years 3 and 6 get the bus to school?
- From the pie chart for Year 3, the purple segment (Bus) appears to represent 2 out of 8 equal parts.
- Fraction of children who use the bus in Year 3:
\[
\frac{2}{8} = \frac{1}{4}
\]
- Number of children who use the bus in Year 3:
\[
\frac{1}{4} \times 64 = 16
\]
- From the pie chart for Year 6, the purple segment (Bus) appears to represent 2 out of 8 equal parts.
- Fraction of children who use the bus in Year 6:
\[
\frac{2}{8} = \frac{1}{4}
\]
- Number of children who use the bus in Year 6:
\[
\frac{1}{4} \times 56 = 14
\]
- Total number of children who use the bus in both years:
\[
16 + 14 = 30
\]

#### 8. Which is more popular overall — walking/cycling to school, or getting a lift to school in a car/bus?
- Walking/Cycling:
- Year 3: Walk (\(\frac{2}{8} \times 64 = 16\)) + Cycle (\(\frac{2}{8} \times 64 = 16\)) = \(16 + 16 = 32\)
- Year 6: Walk (\(\frac{3}{8} \times 56 = 21\)) + Cycle (\(\frac{1}{8} \times 56 = 7\)) = \(21 + 7 = 28\)
- Total for Walking/Cycling:
\[
32 + 28 = 60
\]
- Car/Bus:
- Year 3: Car (\(\frac{2}{8} \times 64 = 16\)) + Bus (\(\frac{2}{8} \times 64 = 16\)) = \(16 + 16 = 32\)
- Year 6: Car (\(\frac{1}{8} \times 56 = 7\)) + Bus (\(\frac{2}{8} \times 56 = 14\)) = \(7 + 14 = 21\)
- Total for Car/Bus:
\[
32 + 21 = 53
\]
- Comparison:
- Walking/Cycling: 60
- Car/Bus: 53
- Conclusion: Walking/Cycling is more popular overall.

Final Answers:

1. \(\boxed{\frac{1}{4}}\)
2. \(\boxed{16}\)
3. \(\boxed{\frac{3}{8}}\)
4. \(\boxed{21}\)
5. \(\boxed{5}\)
6. \(\boxed{9}\)
7. \(\boxed{30}\)
8. \(\boxed{\text{Walking/Cycling}}\)

Extension:

Write your own question that can be answered using the information in the pie charts. For example:
- What fraction of children in Year 6 use either a car or a bus to get to school?