Give me questions on logarithms, indices, modulo, statistics rotation, reflection for me to solve and send it to you for marking

Here are some questions for you to solve:

1. Logarithms: Evaluate:

   $$\log_{3} (81) + \log_{2} (16)$$

2. Indices: Simplify:

   $$\frac{(x^3 y^2)^4}{x^5 y^7}$$

3. Modulo: What is $(27 \times 5) \pmod{8}$

4. Statistics: Find the mean of the following set of numbers:

   $$12, 18, 15, 21, 14$$

5. Rotation: A point $P(3, -2)$ is rotated $90^\circ$ clockwise about the origin. What are the coordinates of the image $P'$?

6. Reflection: A point $Q(-4, 5)$ is reflected across the x-axis. What are the coordinates of the image $Q'$?