Circle Graphs Worksheets | Worsheets library - Free Printable

Let's solve the problem step by step using the circle graph (pie chart) provided in the image.

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Understanding the Pie Chart

The pie chart shows the fractions of different types of cakes sold at a bake sale:

- Strawberry cake: $ \frac{2}{5} $
- Chocolate cake: $ \frac{1}{4} $
- Cheesecake: $ \frac{1}{5} $
- Carrot cake: $ \frac{1}{10} $
- Banana cake: $ \frac{1}{20} $

We will use these fractions to answer the questions.

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Question 1: What fraction of the sales are strawberry cakes?

From the chart, strawberry cake is directly labeled as:
> $ \boxed{\frac{2}{5}} $

✔ Answer: $ \frac{2}{5} $

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Question 2: Which cake sold half as much as carrot cakes?

Carrot cake = $ \frac{1}{10} $

Half of that = $ \frac{1}{2} \times \frac{1}{10} = \frac{1}{20} $

Now look for which cake has $ \frac{1}{20} $:
→ Banana cake is $ \frac{1}{20} $

✔ Answer: Banana cake

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Question 3: Which cake is one-fifth of the total?

One-fifth = $ \frac{1}{5} $

Look at the fractions:
- Cheesecake = $ \frac{1}{5} $

✔ Answer: Cheesecake

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Question 4: Which cake is the best seller?

Compare all fractions:

- Strawberry: $ \frac{2}{5} = 0.4 $
- Chocolate: $ \frac{1}{4} = 0.25 $
- Cheesecake: $ \frac{1}{5} = 0.2 $
- Carrot: $ \frac{1}{10} = 0.1 $
- Banana: $ \frac{1}{20} = 0.05 $

The largest fraction is $ \frac{2}{5} $ → Strawberry cake

✔ Answer: Strawberry cake

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Question 5: What fraction of the total are strawberry and carrot cakes combined?

Add:
- Strawberry: $ \frac{2}{5} $
- Carrot: $ \frac{1}{10} $

Find common denominator: 10

$ \frac{2}{5} = \frac{4}{10} $

So: $ \frac{4}{10} + \frac{1}{10} = \frac{5}{10} = \frac{1}{2} $

✔ Answer: $ \frac{1}{2} $

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Question 6: What fraction of the total are cheesecakes, strawberry, and chocolate cakes combined?

Add:
- Cheesecake: $ \frac{1}{5} $
- Strawberry: $ \frac{2}{5} $
- Chocolate: $ \frac{1}{4} $

First, add $ \frac{1}{5} + \frac{2}{5} = \frac{3}{5} $

Now add $ \frac{3}{5} + \frac{1}{4} $

Common denominator = 20

- $ \frac{3}{5} = \frac{12}{20} $
- $ \frac{1}{4} = \frac{5}{20} $

So: $ \frac{12}{20} + \frac{5}{20} = \frac{17}{20} $

✔ Answer: $ \frac{17}{20} $

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✔ Final Answers:

1. $ \frac{2}{5} $
2. Banana cake
3. Cheesecake
4. Strawberry cake
5. $ \frac{1}{2} $
6. $ \frac{17}{20} $

Let me know if you'd like this formatted as a printable worksheet!