Step 1: Understanding the Question:
We need to name at least two kinds of paper and at least two mediums, and ideally say which medium goes with which paper.
Step 2: Types of paper:
Cartridge paper and handmade sheets: used for tempera, watercolour and acrylic colours, which are water-based media.
Papers may be highly textured, cold-pressed or hot-pressed, which changes how the colour sits on them.
Oil paper or canvas paper: thicker in quality and used for oil painting.
Newsprint and thin cartridge paper: used for pencil work, charcoal, dry colours and oil pastels.
Step 3: Types of mediums:
Water-based mediums: tempera, watercolour and acrylic.
Oil-based medium: oil colours.
Dry mediums: pencil, charcoal, dry colours and oil pastels.
Final Answer:
Papers such as cartridge paper and canvas paper, and mediums such as watercolour and oil colour, are used in painting.
\[\boxed{\text{Cartridge paper, canvas paper; watercolour, oil colours}}\]