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).