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Pie Chart Percentages: Stretch (Year 6) | CGP Plus - Free Printable

Pie Chart Percentages: Stretch (Year 6) | CGP Plus

Educational worksheet: Pie Chart Percentages: Stretch (Year 6) | CGP Plus. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Pie Chart Percentages: Stretch (Year 6) | CGP Plus
Let’s solve this step by step.

We are told that 69 customers voted for Curry Sauce, and from the pie chart, we see that Curry Sauce = 23%.

That means:
→ 23% of total customers = 69 people

So to find the total number of customers, we can do:

Total customers = 69 ÷ 0.23 = ?

Let’s calculate that:

69 ÷ 0.23 = 6900 ÷ 23 (multiply numerator and denominator by 100 to remove decimal)

Now divide 6900 by 23:

23 × 300 = 6900 → So total customers = 300

That answers question 2: 300 customers took part in the survey altogether.

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Now let’s fill in the table using percentages and total = 300.

We’ll multiply each percentage by 300 to get number of customers.

- Don’t like chips: 5% → 0.05 × 300 = 15
- Salt and vinegar: 20% → 0.20 × 300 = 60
- Ketchup: 16% → 0.16 × 300 = 48
- Mayonnaise: 4% → 0.04 × 300 = 12
- Curry sauce: 23% → already given as 69
- Gravy: 11% → 0.11 × 300 = 33
- Cheese: 21% → 0.21 × 300 = 63

Let’s double-check: add all numbers → 15 + 60 + 48 + 12 + 69 + 33 + 63 = ?

15+60=75; 75+48=123; 123+12=135; 135+69=204; 204+33=237; 237+63=300 Perfect.

So now we can complete the table:

| Topping | Don't like chips | Salt and vinegar | Ketchup | Mayonnaise | Curry sauce | Gravy | Cheese |
|------------------|------------------|------------------|---------|------------|-------------|-------|--------|
| Percentage | 5% | 20% | 16% | 4% | 23% | 11% | 21% |
| Number of Customers | 15 | 60 | 48 | 12 | 69 | 33 | 63 |

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Question 3: How many more customers chose cheese than mayonnaise?

Cheese = 63
Mayonnaise = 12
Difference = 63 - 12 = 51

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Question 4: Do more customers prefer curry sauce and gravy, or salt and vinegar and ketchup?

Curry sauce + gravy = 69 + 33 = 102

Salt and vinegar + ketchup = 60 + 48 = 108

108 > 102 → So salt and vinegar and ketchup have more customers.

Answer: salt and vinegar and ketchup

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Question 5: 1/3 of the customers who said they don’t like chips have changed their mind. They now want to say ketchup. What percentage now prefer ketchup? (Round to 2 decimal places if needed.)

Originally, “Don’t like chips” = 15 customers.

1/3 of them change to ketchup → 15 ÷ 3 = 5 customers switch to ketchup.

Original ketchup = 48
New ketchup = 48 + 5 = 53

Total customers still = 300 (no one left, just switched)

New percentage for ketchup = (53 ÷ 300) × 100

Calculate: 53 ÷ 300 = 0.17666...

× 100 = 17.666...% → Round to 2 decimal places → 17.67%

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Final Answers:

1. Table filled as above.

2. Total customers = 300

3. 51 more customers chose cheese than mayonnaise.

4. More customers prefer salt and vinegar and ketchup.

5. New ketchup percentage = 17.67%

──────────────────────────────────────

Final Answer:
1. Table:
- Don't like chips: 5%, 15
- Salt and vinegar: 20%, 60
- Ketchup: 16%, 48
- Mayonnaise: 4%, 12
- Curry sauce: 23%, 69
- Gravy: 11%, 33
- Cheese: 21%, 63

2. 300
3. 51
4. salt and vinegar and ketchup
5. 17.67%
Parent Tip: Review the logic above to help your child master the concept of circle graphs worksheet for 6th grade.
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