100 people voted in an election for Jo, Kim or Liam. The pictogram shows the results for Jo and Kim. Complete the pictogram for Liam.
How to approach this question
1. Use the key to find out how many votes Jo and Kim received.
2. For Jo: Count the number of circles (5) and multiply by 8.
3. For Kim: Count the number of symbols (3 full circles and a half circle, so 3.5) and multiply by 8.
4. Add the votes for Jo and Kim together.
5. Subtract this total from the total number of voters (100) to find the number of votes for Liam.
6. Divide the number of votes for Liam by 8 to find out how many circles to draw.
Full Answer
For Liam, 4 circles should be drawn.
Working:
Jo has 5 circles, so 5 * 8 = 40 votes.
Kim has 3.5 circles, so 3.5 * 8 = 28 votes.
Total votes for Jo and Kim = 40 + 28 = 68.
Votes for Liam = 100 - 68 = 32.
Number of symbols for Liam = 32 / 8 = 4.
Step 1: Calculate votes for Jo.
Jo has 5 full circles.
According to the key, 1 circle = 8 people.
Votes for Jo = 5 × 8 = 40 people.
Step 2: Calculate votes for Kim.
Kim has 3 full circles and one half circle. This represents 3.5 symbols.
Votes for Kim = 3.5 × 8 = 28 people.
Step 3: Calculate votes for Liam.
Total voters = 100.
Votes for Liam = Total voters - (Votes for Jo + Votes for Kim)
Votes for Liam = 100 - (40 + 28)
Votes for Liam = 100 - 68 = 32 people.
Step 4: Determine the symbols for Liam.
Number of symbols = Votes for Liam / People per symbol
Number of symbols = 32 / 8 = 4.
So, you need to draw 4 full circles for Liam.
Common mistakes
✗ Misinterpreting the key (e.g., thinking 1 circle = 1 person).
✗ Miscounting the symbols, especially the half symbol.
✗ Making a calculation error when subtracting from 100 or dividing by 8.
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