Whats New - March 2019 - Free Printable

Let's solve both problems step by step to construct pie charts for each data table. A pie chart represents data as slices of a circle, where each slice's angle is proportional to the frequency of the category.

---

🔷 Problem 1: Transport to School

Given Data:
| Transport | Frequency |
|----------|-----------|
| Car | 27 |
| Bike | 8 |
| Bus | 19 |
| Other | 6 |
| Total | 60 |

> Total number of pupils = 60

We need to find the angle for each category using the formula:

$$
\text{Angle} = \left( \frac{\text{Frequency}}{\text{Total}} \right) \times 360^\circ
$$

---

#### ✔ Step-by-step calculation:

1. Car:
$$
\frac{27}{60} \times 360 = 0.45 \times 360 = 162^\circ
$$

2. Bike:
$$
\frac{8}{60} \times 360 = 0.1333 \times 360 = 48^\circ
$$

3. Bus:
$$
\frac{19}{60} \times 360 = 0.3167 \times 360 = 114^\circ
$$

4. Other:
$$
\frac{6}{60} \times 360 = 0.1 \times 360 = 36^\circ
$$

✔ Check: $162 + 48 + 114 + 36 = 360^\circ$ → Correct!

---

🎯 How to draw the pie chart:

- Draw a circle.
- Start from a point (e.g., top).
- Use a protractor to measure and mark each angle:
- Car: 162° (largest slice)
- Bus: 114°
- Bike: 48°
- Other: 36°
- Label each slice with the transport mode and percentage or frequency.

> Optional: Add percentages:
- Car: $ \frac{27}{60} = 45\% $
- Bike: $ 13.3\% $
- Bus: $ 31.7\% $
- Other: $ 10\% $

---

🔷 Problem 2: Favourite Fruits

Given Data:
| Fruit | Frequency |
|--------|-----------|
| Apple | 10 |
| Banana | 6 |
| Orange | 3 |
| Total | 19 |

> Total people = 19

Use the same formula:

$$
\text{Angle} = \left( \frac{\text{Frequency}}{19} \right) \times 360^\circ
$$

---

#### ✔ Step-by-step calculation:

1. Apple:
$$
\frac{10}{19} \times 360 \approx 0.5263 \times 360 \approx 190^\circ
$$

2. Banana:
$$
\frac{6}{19} \times 360 \approx 0.3158 \times 360 \approx 114^\circ
$$

3. Orange:
$$
\frac{3}{19} \times 360 \approx 0.1579 \times 360 \approx 57^\circ
$$

✔ Check: $190 + 114 + 57 = 361^\circ$ → Close enough (rounding error). You can adjust one slightly (e.g., make Apple 189°, Orange 58°) to total exactly 360°.

Better: use exact values:

- Apple: $ \frac{10}{19} \times 360 = 189.47^\circ $
- Banana: $ \frac{6}{19} \times 360 = 113.68^\circ $
- Orange: $ \frac{3}{19} \times 360 = 56.84^\circ $

Sum: $189.47 + 113.68 + 56.84 = 360^\circ$ → Perfect.

So use:
- Apple: ~189.5°
- Banana: ~113.7°
- Orange: ~56.8°

---

🎯 How to draw this pie chart:

- Draw a circle.
- Use protractor to measure:
- Apple: ~189.5° (almost half the circle)
- Banana: ~113.7°
- Orange: ~56.8°
- Label each slice with fruit name and frequency or percentage.

> Percentages:
- Apple: $ \frac{10}{19} \approx 52.6\% $
- Banana: $ \frac{6}{19} \approx 31.6\% $
- Orange: $ \frac{3}{19} \approx 15.8\% $

---

✔ Final Answer Summary:

#### 🔹 Problem 1 – Transport:
| Transport | Angle |
|----------|-------|
| Car | 162° |
| Bike | 48° |
| Bus | 114° |
| Other | 36° |

#### 🔹 Problem 2 – Fruits:
| Fruit | Angle |
|--------|-----------|
| Apple | ~189.5° |
| Banana | ~113.7° |
| Orange | ~56.8° |

---

💡 Tips for Drawing:

- Use a compass to draw a perfect circle.
- Use a protractor to measure angles accurately.
- Start from the top (12 o'clock position) and go clockwise.
- Shade or color each section differently.
- Label each slice clearly.

Let me know if you'd like a visual sketch or printable version!