This image contains a set of math problems written in Swedish under the title "LÄXA 3 EFTER AVSNITT 1.5". Here’s a translation and breakdown of the key questions:

1. Exponential Expressions:

   • $10^4 \cdot 10^2$ and other variations.

2. Scientific Notation and Decimals:

   • Write 0.0001 in scientific notation, etc.

3. Understanding Powers of Ten:

   • A question about why $10^3$ is not half of $10^6$.

4. Finding the Midpoint Between Two Values:

   • Find the value between numbers like -18 and -4, or $-14$ and 12.

5. Basic Arithmetic Operations:

   • Perform operations like $7 + (-3)$ or $(-7) - (-3)$.

6. Triangle Angle Calculation:

   • Calculate angles $x$ and $y$ in a triangle with given angles (45° and 30°).

7. Weight of Gasoline Problem:

   • A problem related to determining the weight of 1 liter of gasoline.

8. Coin Weighing Puzzle:

   • A puzzle involving fake coins where you must solve the problem with just one weighing.

9. World's Largest Wheel:

   • Calculating the width of the largest wheel using its volume (19 m³).

10. Truck Speed Calculation:

    • Determining the speed of a truck's wheels given that it rotates once every four seconds.

Would you like help solving a specific question or understanding any of these concepts?