I had a neuropsych evaluation done a few years back. It was basically me and the psychologist in her office for about 3 hours, with her asking questions and giving me exercises to test memory encoding/recall, verbal conceptualization, visual reasoning, and manual dexterity. Some of the tests were timed. I made notes afterwards on the kinds of tests I had to do:
1. Recite back lists of numbers.
2. Recite back lists of numbers in reverse order.
3. Recite back a list of random words, then list them by category, then distinguish them from a second list. Recall them later in the session.
4. Recite back details of two different stories. Recall them later in the session.
5. Draw a complex shape shown in a picture. Then draw it from memory. Then distinguish it from 4 other similar drawings. Recalled later in session.
6. Math word problems (solve in head).
7. Word definitions.
8. Word pronunciation.
9. Explain what two words have in common.
10. Put pegs in holes, first with right hand then with left hand.
11. Pattern recognition.
12. Pattern re-creation.
13. Flash cards of words, and of faces -- asked to recall which two words and faces appeared in the flashed set.
14. Symbols/codes -- indicate which appear in a row.
15. Symbols/codes -- fill in symbols to match letters based on a key shown at the top of the page.
16. Vocabulary: List as many words as possible beginning with a particular letter, or belonging to a particular category.
The main thing to remember is that you're not expected to be perfect! The tests are just a tool to set a baseline and highlight particular areas of the brain that may be affected by neurological issues. There's usually a follow-up session later where the psychologist goes over the results with you.
Good luck, keep us posted!