5th-grade math worksheet with problems on fractions, decimals, and coordinate geometry.

Let's solve each problem step by step:

---

Problem 1: Select the two correct statements

The statements are:
- A. The product of 2/5 and 4 is greater than 4.
- B. The product of 2/5 and 5 is less than 2/5.
- C. The product of 1/3 and 5 is greater than 1/2.
- D. The product of 1/6 and 5 is less than 5/6.
- E. The product of 13/4 and 5/2 is greater than 13/4.
- F. The product of 13/4 and 5/2 is less than 5/2.

#### Solution:
- A. \( \frac{2}{5} \times 4 = \frac{8}{5} = 1.6 \). Since \( 1.6 < 4 \), this statement is false.
- B. \( \frac{2}{5} \times 5 = 2 \). Since \( 2 > \frac{2}{5} \), this statement is false.
- C. \( \frac{1}{3} \times 5 = \frac{5}{3} \approx 1.67 \). Since \( 1.67 > \frac{1}{2} = 0.5 \), this statement is true.
- D. \( \frac{1}{6} \times 5 = \frac{5}{6} \). Since \( \frac{5}{6} < \frac{5}{6} \) is not true, this statement is false.
- E. \( \frac{13}{4} \times \frac{5}{2} = \frac{65}{8} = 8.125 \). Since \( 8.125 > \frac{13}{4} = 3.25 \), this statement is true.
- F. \( \frac{13}{4} \times \frac{5}{2} = \frac{65}{8} = 8.125 \). Since \( 8.125 > \frac{5}{2} = 2.5 \), this statement is false.

The correct statements are C and E.

Answer: \(\boxed{\text{C, E}}\)

---

Problem 2: April works at a clothing store

April sold \( \frac{7}{4} \) of the total number of pink shirts on Monday and \( \frac{2}{4} \) of the total number of pink shirts on Tuesday. What fraction of pink shirts did April sell on Monday and Tuesday?

#### Solution:
To find the total fraction of pink shirts sold, add the fractions:
\[ \frac{7}{4} + \frac{2}{4} = \frac{9}{4} \]

Answer: \(\boxed{\frac{9}{4}}\)

---

Problem 3: Which expression is equal to \( \frac{3}{12} \)?

The options are:
- A. \( 12 \times 3 \)
- B. \( 3 + 12 \)
- C. \( 12 \div 3 \)
- D. \( 3 \div 12 \)

#### Solution:
Simplify \( \frac{3}{12} \):
\[ \frac{3}{12} = \frac{1}{4} \]

Now evaluate each option:
- A. \( 12 \times 3 = 36 \) (not equal to \( \frac{1}{4} \))
- B. \( 3 + 12 = 15 \) (not equal to \( \frac{1}{4} \))
- C. \( 12 \div 3 = 4 \) (not equal to \( \frac{1}{4} \))
- D. \( 3 \div 12 = \frac{3}{12} = \frac{1}{4} \) (equal to \( \frac{1}{4} \))

The correct expression is D.

Answer: \(\boxed{\text{D}}\)

---

Problem 4: Mason has a map of Alabama

The map measures \( \frac{3}{4} \) meter wide and \( \frac{7}{4} \) meter long. What is the area, in square meters, of Mason's map?

#### Solution:
The area of a rectangle is given by:
\[ \text{Area} = \text{width} \times \text{length} \]
\[ \text{Area} = \frac{3}{4} \times \frac{7}{4} = \frac{21}{16} \]

Answer: \(\boxed{\frac{21}{16}}\)

---

Problem 5: Kevin uses ribbon to make bookmarks

Kevin has 8 feet of ribbon and uses \( \frac{1}{3} \) foot of ribbon to make each bookmark. What is the total number of bookmarks Kevin makes with all 8 feet of ribbon?

#### Solution:
To find the number of bookmarks, divide the total length of ribbon by the length used per bookmark:
\[ \text{Number of bookmarks} = \frac{8}{\frac{1}{3}} = 8 \times 3 = 24 \]

Answer: \(\boxed{24}\)

---

Problem 6: Solve \( 0.35 \times 1.4 \)

#### Solution:
\[ 0.35 \times 1.4 = 0.49 \]

Answer: \(\boxed{0.49}\)

---

Problem 7: Coordinate plane

A coordinate plane is shown. What is the coordinate pair for the point that will complete the rectangle?

#### Solution:
From the image, the points given are:
- \( A(1, 7) \)
- \( B(9, 7) \)
- \( C(9, 3) \)

To complete the rectangle, the fourth point must have the same x-coordinate as \( A \) and the same y-coordinate as \( C \). Therefore, the coordinates of the fourth point are:
\[ (1, 3) \]

Answer: \(\boxed{(1, 3)}\)

---

Problem 8: Which number makes the inequality true?

\[ 3,568.243 > \_\_\_\_\_ \]
The options are:
- A. 3,568.234
- B. 3,568.432
- C. 3,568.342
- D. 3,568.324

#### Solution:
Compare each option with \( 3,568.243 \):
- A. \( 3,568.234 < 3,568.243 \) (true)
- B. \( 3,568.432 > 3,568.243 \) (false)
- C. \( 3,568.342 > 3,568.243 \) (false)
- D. \( 3,568.324 > 3,568.243 \) (false)

The correct number is A.

Answer: \(\boxed{\text{A}}\)

---

Problem 9: Samuel needs 243 feet of wood

Samuel needs 243 feet of wood to build a fence. The wood comes in lengths of 8 feet. How many pieces of wood will Samuel need to buy?

#### Solution:
To find the number of pieces of wood, divide the total length needed by the length of each piece:
\[ \text{Number of pieces} = \frac{243}{8} = 30.375 \]

Since Samuel cannot buy a fraction of a piece, he needs to round up to the next whole number:
\[ \text{Number of pieces} = 31 \]

Answer: \(\boxed{31}\)

---

Problem 10: Round each decimal number to the nearest whole number

The numbers are:
- 6.24
- 6.54
- 6.79
- 6.08

#### Solution:
- 6.24: The digit after the decimal is 2 (less than 5), so round down: \( 6 \)
- 6.54: The digit after the decimal is 5, so round up: \( 7 \)
- 6.79: The digit after the decimal is 7 (greater than 5), so round up: \( 7 \)
- 6.08: The digit after the decimal is 0 (less than 5), so round down: \( 6 \)

Answer: \(\boxed{6, 7, 7, 6}\)

---

Final Answers:

1. \(\boxed{\text{C, E}}\)
2. \(\boxed{\frac{9}{4}}\)
3. \(\boxed{\text{D}}\)
4. \(\boxed{\frac{21}{16}}\)
5. \(\boxed{24}\)
6. \(\boxed{0.49}\)
7. \(\boxed{(1, 3)}\)
8. \(\boxed{\text{A}}\)
9. \(\boxed{31}\)
10. \(\boxed{6, 7, 7, 6}\)