Pie charts questions with answers

Questions

1. Question 1The angle of a sector

   The table shows the drinks sold at a canteen. The information is to be shown in a pie chart. Calculate the angle of the sector for Water.

   Item	Milo	Teh	Kopi	Juice	Water
   Number of drinks	23	25	17	31	24

   Show the worked solution

   1. Step 1: Find the total$\text{Total} = 23 + 25 + 17 + 31 + 24$$= 120$
   2. Step 2: Angle = value ÷ total × 360°$\text{Angle} = \dfrac{24}{120} \times 360^\circ$$= 72^\circ$
2. Question 2A number from an angle

   The pie chart shows the drinks sold at a canteen. There are $180$ drinks altogether. Find the number of drinks for Water.

   Show the worked solution

   1. Step 1: The sector is a fraction of 360°: take the same fraction of the total$\dfrac{40}{360} \times 180$$= 20$
3. Question 3A missing angle, then the number

   The pie chart shows the fruit sold at a stall. There are $180$ fruits altogether. Find the number of fruits for Durians.

   Show the worked solution

   1. Step 1: Angles at the centre add up to 360°$x = 360 - 78 - 50 - 124$$x = 108$
   2. Step 2: Take the same fraction of the total$\dfrac{108}{360} \times 180$$= 54$
4. Question 4Percentages from a pie chart

   The pie chart shows the fruit sold at a stall. Express the number of fruits for Apples as a percentage of the total number of fruits.

   Show the worked solution

   1. Step 1: Percentage = angle ÷ 360° × 100%$\dfrac{63}{360} \times 100\%$$= 17.5\%$
5. Question 5From one sector to another

   The pie chart shows the drinks sold at a canteen. The number of drinks for Water is $4$. Find the number of drinks for Teh.

   Show the worked solution

   1. Step 1: Measure the angle for Water, then find what 1° stands for$1^\circ \text{ stands for } \dfrac{4}{36} \text{ drinks}$
   2. Step 2: Multiply by the angle for Teh$\dfrac{4}{36} \times 54$$= 6$