Here are 20 math exercises designed for young learners. These problems range from basic arithmetic to introductory algebra and geometry concepts.

### Arithmetic:
1. **Addition:** What is \( 34 + 67 \)?
2. **Subtraction:** Subtract \( 58 - 29 \).
3. **Multiplication:** Multiply \( 6 \times 8 \).
4. **Division:** What is \( 56 \div 7 \)?
5. **Mixed Operations:** Solve \( 15 + 6 \times 2 \).

### Fractions:
6. **Simplifying Fractions:** Simplify \( \frac{12}{16} \).
7. **Adding Fractions:** What is \( \frac{3}{4} + \frac{1}{2} \)?
8. **Subtracting Fractions:** Solve \( \frac{5}{6} - \frac{2}{3} \).
9. **Multiplying Fractions:** What is \( \frac{2}{5} \times \frac{3}{4} \)?
10. **Dividing Fractions:** Solve \( \frac{7}{8} \div \frac{1}{2} \).

### Decimals:
11. **Addition with Decimals:** Add \( 5.73 + 4.12 \).
12. **Subtracting Decimals:** Subtract \( 9.85 - 3.47 \).
13. **Multiplying Decimals:** What is \( 0.6 \times 0.4 \)?
14. **Dividing Decimals:** Divide \( 6.4 \div 0.8 \).

### Basic Algebra:
15. **Solving for \( x \):** Solve \( 2x + 4 = 12 \).
16. **Solving for \( y \):** If \( y - 3 = 7 \), what is \( y \)?
17. **Simplifying Expressions:** Simplify \( 3(2x + 4) \).
18. **Finding Unknowns:** If \( 5a = 25 \), what is \( a \)?

### Geometry:
19. **Perimeter of a Rectangle:** Find the perimeter of a rectangle with length \( 8 \) cm and width \( 5 \) cm.
20. **Area of a Triangle:** Calculate the area of a triangle with a base of \( 6 \) cm and height of \( 4 \) cm.

Would you like more details or explanations for any of these exercises?

### Follow-up Questions:
1. What is the order of operations in mixed calculations?
2. How do you add fractions with different denominators?
3. How can you convert a fraction into a decimal?
4. What is the difference between area and perimeter?
5. How can you check your solution for an algebraic equation?

### Tip: 
When working with fractions, always try to simplify them by dividing the numerator and denominator by their greatest common divisor (GCD).

Explore 20 math exercises for young learners, covering arithmetic, fractions, decimals, basic algebra, and geometry. These problems are designed for students in Grades 4-6 and include key concepts such as simplifying fractions, solving for unknowns, and calculating areas and perimeters.

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