Grade 4 Math Diagnostic Assessment Part 1 worksheet - Free Printable

Problem 5: Each student has 8 marbles. Who has the greatest fraction of black marbles?

#### Step-by-Step Solution:
1. Count the total number of marbles for each student: Each student has 8 marbles.
2. Count the number of black marbles for each student:
- Pilar (A): 5 black marbles
- Bob (B): 4 black marbles
- Cathy (C): 6 black marbles
- Donte (D): 5 black marbles

3. Calculate the fraction of black marbles for each student:
- Pilar (A): \( \frac{5}{8} \)
- Bob (B): \( \frac{4}{8} = \frac{1}{2} \)
- Cathy (C): \( \frac{6}{8} = \frac{3}{4} \)
- Donte (D): \( \frac{5}{8} \)

4. Compare the fractions:
- \( \frac{5}{8} \) (Pilar and Donte)
- \( \frac{1}{2} \) (Bob)
- \( \frac{3}{4} \) (Cathy)

To compare these fractions, we can convert them to a common denominator or compare their decimal equivalents:
- \( \frac{5}{8} = 0.625 \)
- \( \frac{1}{2} = 0.5 \)
- \( \frac{3}{4} = 0.75 \)

Clearly, \( \frac{3}{4} \) is the largest fraction.

#### Final Answer:
\[ \boxed{C} \]

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Problem 6: Which pizza is more than half eaten?

#### Step-by-Step Solution:
1. Understand the problem: We need to determine which pizza has more than half of its slices eaten.
2. Analyze each pizza:
- Pizza F: The pizza is divided into 8 slices. More than 4 slices are eaten.
- Pizza G: The pizza is divided into 8 slices. Less than 4 slices are eaten.
- Pizza H: The pizza is divided into 8 slices. Exactly 4 slices are eaten.
- Pizza J: The pizza is divided into 8 slices. More than 4 slices are eaten.

3. Determine which pizzas have more than half eaten:
- Pizza F: More than 4 slices eaten → More than half.
- Pizza G: Less than 4 slices eaten → Less than half.
- Pizza H: Exactly 4 slices eaten → Exactly half.
- Pizza J: More than 4 slices eaten → More than half.

#### Final Answer:
\[ \boxed{F, J} \]

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Problem 7: What number is located at Point A on the number line below?

#### Step-by-Step Solution:
1. Analyze the number line:
- The number line is marked with points at 0, 1, and 2.
- Point A is located between 0 and 1.
- The distance from 0 to 1 is divided into 3 equal parts.

2. Determine the position of Point A:
- Since the segment from 0 to 1 is divided into 3 equal parts, each part represents \( \frac{1}{3} \).
- Point A is located at the first division mark after 0, which corresponds to \( \frac{1}{3} \).

#### Final Answer:
\[ \boxed{B} \]

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Summary of Answers:

1. Problem 5: \( \boxed{C} \)
2. Problem 6: \( \boxed{F, J} \)
3. Problem 7: \( \boxed{B} \)