https://file.aiquickdraw.com/mathbot/file/1727028751078pqz8qzrx.jpg

Let's break down the image and solve the questions based on the given pie chart.

The pie chart shows the modes of travel for children to school and the respective angles in the pie chart:

- **Car: 90°**
- **Bus: 120°**
- **Cycle: 60°**
- **Taxi: 30°**
- **Walk: 60°**

Now let's answer the questions:

### (i) What is the most common mode of transport?
- The mode of transport corresponding to the largest angle is **Bus (120°)**. Therefore, **Bus** is the most common mode of transport.

### (ii) What fraction of children travel by taxi?
- The angle for taxi is 30°. The total angle in a pie chart is 360°. So, the fraction of children traveling by taxi is:
\[
\frac{30°}{360°} = \frac{1}{12}
\]

### (iii) If 36 students travel by car, how many children took part in the survey?
- The angle for **Car** is 90°. The fraction of children traveling by car is:
\[
\frac{90°}{360°} = \frac{1}{4}
\]
If 36 students represent \(\frac{1}{4}\) of the total, the total number of students surveyed is:
\[
\text{Total students} = 36 \times 4 = 144
\]

So, **144 students** took part in the survey.

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Would you like more details or have any other questions?

Here are 5 related questions:
1. What fraction of children walk to school?
2. If 60 students take the bus, how many total students were surveyed?
3. What percentage of children cycle to school?
4. How many children travel by taxi if the total number of children is 120?
5. If the angle for walking is increased by 30°, what will the new total angle of the pie chart be?

**Tip:** In pie charts, the size of each section represents the proportion relative to the total. Larger angles mean larger proportions.

Study the pie chart and answer the following questions: (i) What is the most common mode of transport? (ii) What fraction of children travel by taxi? (iii) If 36 students travel by car, how many children took part in the survey?

This problem uses pie chart analysis to determine the most common mode of transport, the fraction of students traveling by taxi, and how many children participated in a survey given that 36 students travel by car. The solution involves concepts of fractions and ratios, suitable for Grades 5-7.

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