Math practice worksheet featuring problems on fractions, geometry, and graphing.

Problem Breakdown and Solutions:

#### Problem 21: Books Read Last Year
The pie chart shows the distribution of books read last year by a group of people. The percentages are as follows:
- 4 books: 20%
- 5 books: 31%
- 6 books: 17%
- 7 books: 29%
- 8 books: 3%

Part (a): How many fewer people read 3 books than 5 books?

- Step 1: Identify the percentage of people who read 3 books.
- From the pie chart, the percentage for 3 books is 20%.

- Step 2: Identify the percentage of people who read 5 books.
- From the pie chart, the percentage for 5 books is 31%.

- Step 3: Calculate the difference in percentages.
\[
31\% - 20\% = 11\%
\]

- Step 4: Determine how many people this percentage represents.
- Total people surveyed: 277.
- Number of people who read 5 books:
\[
31\% \text{ of } 277 = 0.31 \times 277 = 85.87 \approx 86 \text{ people}
\]
- Number of people who read 3 books:
\[
20\% \text{ of } 277 = 0.20 \times 277 = 55.4 \approx 55 \text{ people}
\]
- Difference:
\[
86 - 55 = 31 \text{ people}
\]

Final Answer for Part (a):
\[
\boxed{31}
\]

Part (b): What fraction of the vitamins read 4 books?

- Step 1: Identify the percentage of people who read 4 books.
- From the pie chart, the percentage for 4 books is 20%.

- Step 2: Convert the percentage to a fraction.
\[
20\% = \frac{20}{100} = \frac{1}{5}
\]

Final Answer for Part (b):
\[
\boxed{\frac{1}{5}}
\]

---

#### Problem 23: Ordering Fractions
Order the following fractions from greatest to least:
\[
\frac{3}{4}, \frac{1}{2}, \frac{1}{3}, \frac{1}{4}
\]

- Step 1: Compare the fractions by converting them to decimals or finding a common denominator.
- \(\frac{3}{4} = 0.75\)
- \(\frac{1}{2} = 0.5\)
- \(\frac{1}{3} \approx 0.333\)
- \(\frac{1}{4} = 0.25\)

- Step 2: Arrange the fractions in descending order based on their decimal values.
\[
\frac{3}{4}, \frac{1}{2}, \frac{1}{3}, \frac{1}{4}
\]

Final Answer:
\[
\boxed{\frac{3}{4}, \frac{1}{2}, \frac{1}{3}, \frac{1}{4}}
\]

---

#### Problem 25: Comparing Fractions
Compare the following pairs of fractions using \(<\), \(>\), or \(=\):
1. \(\frac{2}{3}\) and \(\frac{3}{4}\)
2. \(\frac{5}{6}\) and \(\frac{10}{12}\)
3. \(\frac{3}{5}\) and \(\frac{6}{10}\)

- Step 1: Compare \(\frac{2}{3}\) and \(\frac{3}{4}\).
- Find a common denominator: \(12\).
- \(\frac{2}{3} = \frac{8}{12}\)
- \(\frac{3}{4} = \frac{9}{12}\)
- Since \(\frac{8}{12} < \frac{9}{12}\), \(\frac{2}{3} < \frac{3}{4}\).

- Step 2: Compare \(\frac{5}{6}\) and \(\frac{10}{12}\).
- Simplify \(\frac{10}{12}\): \(\frac{10}{12} = \frac{5}{6}\).
- Since \(\frac{5}{6} = \frac{5}{6}\), \(\frac{5}{6} = \frac{10}{12}\).

- Step 3: Compare \(\frac{3}{5}\) and \(\frac{6}{10}\).
- Simplify \(\frac{6}{10}\): \(\frac{6}{10} = \frac{3}{5}\).
- Since \(\frac{3}{5} = \frac{3}{5}\), \(\frac{3}{5} = \frac{6}{10}\).

Final Answers:
1. \(\frac{2}{3} < \frac{3}{4}\)
2. \(\frac{5}{6} = \frac{10}{12}\)
3. \(\frac{3}{5} = \frac{6}{10}\)

---

#### Problem 27: Circumference Calculation
To the nearest tenth, find the circumference of a circle with radius \(r = 6\) cm. Use \(\pi = 3.14\).

- Step 1: Use the formula for the circumference of a circle:
\[
C = 2\pi r
\]

- Step 2: Substitute the given values:
\[
C = 2 \times 3.14 \times 6 = 37.68
\]

- Step 3: Round to the nearest tenth:
\[
C \approx 37.7 \text{ cm}
\]

Final Answer:
\[
\boxed{37.7}
\]

---

#### Problem 29: Ordered Pairs
Write the ordered pair for each point on the coordinate plane.

- Step 1: Identify the coordinates of each labeled point.
- \(A = (2, 3)\)
- \(B = (4, 5)\)
- \(C = (1, 2)\)
- \(D = (3, 4)\)
- \(E = (5, 6)\)
- \(F = (0, 1)\)
- \(G = (2, 1)\)
- \(H = (4, 3)\)
- \(I = (3, 2)\)
- \(J = (5, 4)\)
- \(K = (1, 3)\)
- \(L = (2, 4)\)

Final Answers:
\[
\boxed{(2, 3), (4, 5), (1, 2), (3, 4), (5, 6), (0, 1), (2, 1), (4, 3), (3, 2), (5, 4), (1, 3), (2, 4)}
\]

---

Final Summary of Answers:

1. Problem 21(a): \(\boxed{31}\)
2. Problem 21(b): \(\boxed{\frac{1}{5}}\)
3. Problem 23: \(\boxed{\frac{3}{4}, \frac{1}{2}, \frac{1}{3}, \frac{1}{4}}\)
4. Problem 25:
- \(\frac{2}{3} < \frac{3}{4}\)
- \(\frac{5}{6} = \frac{10}{12}\)
- \(\frac{3}{5} = \frac{6}{10}\)
5. Problem 27: \(\boxed{37.7}\)
6. Problem 29: \(\boxed{(2, 3), (4, 5), (1, 2), (3, 4), (5, 6), (0, 1), (2, 1), (4, 3), (3, 2), (5, 4), (1, 3), (2, 4)}\)