Test your middle school math skills with this quiz! Remember to show your work and think through each problem step by step.

1. Solve for x: 3x + 7 = 22
2. What is the area of a rectangle with length 8 cm and width 5 cm?
3. If a recipe calls for 2/3 cup of sugar and you want to make 1.5 times the recipe, how much sugar do you need?
4. What is the greatest common factor of 48 and 60?
5. Simplify: (3^2 × 3^4) ÷ 3^3
6. A train travels at a speed of 80 km/h. How far will it travel in 2.5 hours?
7. Convert 35% to a decimal and a fraction in its simplest form.
8. Find the mean, median, and mode of the following set of numbers:
   7, 9, 5, 11, 7, 8, 9
9. If the ratio of boys to girls in a class is 3:5 and there are 24 students in total, how many boys are in the class?
10. What is the volume of a cube with side length 4 cm?

Good luck! Remember, math is about the process as much as the final answer. If you’re stuck, try breaking the problem down into smaller steps.