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Let's go through each question in the image:

### Identify Multiples

1. **List the first five multiples of each number:**
   - **a) 2:** 2, 4, 6, 8, 10
   - **b) 4:** 4, 8, 12, 16, 20
   - **c) 5:** 5, 10, 15, 20, 25

2. **Which of the following numbers is not a multiple of 6?**
   - Numbers listed: 6, 48, 18, 40, 24.
   - **Answer:** 40 is not a multiple of 6 because 40 ÷ 6 is not a whole number (40 ÷ 6 ≈ 6.67).

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### Write Fractions

3. **Write the fraction shaded in each diagram. Show each as an improper fraction and as a mixed number.**

   - **a)** There are three circles, each divided into two parts, with one part shaded in each circle. This gives:
     - Improper fraction: \( \frac{3}{2} \)
     - Mixed number: \( 1 \frac{1}{2} \)

   - **b)** There are two squares, each divided into four parts, with one part shaded in each square. This gives:
     - Improper fraction: \( \frac{2}{4} = \frac{1}{2} \)
     - Mixed number: Since the fraction \( \frac{1}{2} \) is not improper, the mixed number remains \( \frac{1}{2} \).

   - **c)** There are three circles, each divided into six parts, with four parts shaded in total. This gives:
     - Improper fraction: \( \frac{4}{6} = \frac{2}{3} \)
     - Mixed number: \( \frac{2}{3} \) is not improper, so it remains as \( \frac{2}{3} \).

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4. **Describe each fraction in words. Give an example of when you might see the fraction used.**

   - **a) \( \frac{3}{4} \):** Three-fourths. This could represent how much of a pizza is left if three out of four pieces remain.
   - **b) \( \frac{1}{8} \):** One-eighth. This might represent a small piece of a chocolate bar if it's divided into 8 equal parts.
   - **c) \( \frac{7}{10} \):** Seven-tenths. This might describe a bottle that is 70% full of water.

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5. **Draw a diagram to represent each fraction.**

   - **a) \( \frac{1}{4} \):** A shape, such as a square or circle, divided into 4 equal parts with 1 part shaded.
   - **b) \( \frac{8}{5} \):** This is an improper fraction, so you can draw one whole shape (such as a rectangle) divided into 5 parts, then add another shape with 3 parts shaded to make 8 parts in total.
   - **c) \( \frac{3}{4} \):** A shape divided into 4 equal parts with 3 parts shaded.
   - **d) \( 2 \frac{1}{2} \):** Two whole shapes, each divided into halves, with one extra half shaded.

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Let me know if you'd like details or have any questions!

### Relative Questions:
1. What is the definition of a multiple of a number?
2. How can you tell if a number is a multiple of another number?
3. What are proper and improper fractions?
4. How do you convert an improper fraction to a mixed number?
5. Can you give an example of a real-life scenario where fractions are commonly used?

### Tip:
Remember, when simplifying fractions, always divide both the numerator and the denominator by their greatest common divisor (GCD).

The original question submitted by the user involves identifying multiples and working with fractions.

Learn how to list multiples of numbers and represent shaded fractions as improper fractions and mixed numbers. This math problem set is suitable for students in Grades 4-6 and covers essential concepts such as identifying multiples and converting between improper fractions and mixed numbers.

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