Create a pie chart to represent the number of learners who prefer different games: Football (18), Netball (12), Volleyball (10), Handball (9), Basketball (11). Calculate the angles for each sector.

Step 1: Calculate the total number of learners.
Total learners = $18 + 12 + 10 + 9 + 11 = 60$ learners.

Step 2: Calculate the angle for each game in the pie chart.
The total angle in a circle is $360^\circ$. The angle for each category is calculated as:

$$\text{Angle} = \left(\frac{\text{Number of learners for game}}{\text{Total learners}}\right) \times 360^\circ$$

• Football: $$\text{Angle}_{\text{Football}} = \left(\frac{18}{60}\right) \times 360^\circ = 0.3 \times 360^\circ = 108^\circ$$
• Netball: $$\text{Angle}_{\text{Netball}} = \left(\frac{12}{60}\right) \times 360^\circ = 0.2 \times 360^\circ = 72^\circ$$
• Volleyball: $$\text{Angle}_{\text{Volleyball}} = \left(\frac{10}{60}\right) \times 360^\circ = \frac{1}{6} \times 360^\circ = 60^\circ$$
• Handball: $$\text{Angle}_{\text{Handball}} = \left(\frac{9}{60}\right) \times 360^\circ = 0.15 \times 360^\circ = 54^\circ$$
• Basketball: $$\text{Angle}_{\text{Basketball}} = \left(\frac{11}{60}\right) \times 360^\circ = 11 \times 6^\circ = 66^\circ$$

Step 3: Verify the sum of angles.
$108^\circ + 72^\circ + 60^\circ + 54^\circ + 66^\circ = 360^\circ$.

The angles for the pie chart are:

• Football: $\boxed{108^\circ}$
• Netball: $\boxed{72^\circ}$
• Volleyball: $\boxed{60^\circ}$
• Handball: $\boxed{54^\circ}$
• Basketball: $\boxed{66^\circ}$

40.

Step 1: List all possible numbers.
The numbers from 10 to 20 are $\{10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20\}$.
The total number of possible outcomes is $20 - 10 + 1 = 11$.