Brow - countable noun
Zoo - countable
Poverty - uncountable
Doctor - countable
cook - countable
rize - uncountable
Fair - countable
town - countable
toast - uncountable
Beach - uncountable
Room - countable
http://grammar.ccc.commnet.edu/grammar/noncount.htm
If you are asking if your identification for each noun is correct, I have questions.
Why are some words capitalized and others aren't?
What is "rize"?
Some of these can be either count nouns or non-count nouns. Do you recognize which ones?
To determine whether a noun is countable or uncountable, you can consider how it is used and whether it can be easily quantified. Here is an explanation for each noun you listed:
1. Brow - countable noun.
Explanation: A brow refers to the arch of hair above a person's eye. It is countable because you can refer to one brow or multiple brows.
2. Zoo - countable noun.
Explanation: A zoo is a place where various animals are kept for public display. It is countable as you can refer to one zoo or multiple zoos.
3. Poverty - uncountable noun.
Explanation: Poverty is a state of being poor or lacking material possessions. It is uncountable as you cannot refer to "poverties"; it is treated as a general concept.
4. Doctor - countable noun.
Explanation: A doctor is a professional who practices medicine. It is countable because you can refer to one doctor or multiple doctors.
5. Cook - countable noun.
Explanation: A cook is a person who prepares food. It is countable as you can refer to one cook or multiple cooks.
6. Rice - uncountable noun.
Explanation: Rice is a staple food made from grains. It is uncountable because you cannot refer to "rices"; it is treated as a mass or bulk quantity.
7. Fair - countable noun.
Explanation: A fair is an event or gathering with various amusements and displays. It is countable as you can refer to one fair or multiple fairs.
8. Town - countable noun.
Explanation: A town is a settlement smaller than a city. It is countable as you can refer to one town or multiple towns.
9. Toast - uncountable noun.
Explanation: Toast refers to bread that has been browned by exposure to heat. It is uncountable because you cannot refer to "toasts"; it is treated as a mass or bulk quantity.
10. Beach - uncountable noun.
Explanation: A beach is a sandy or pebbly area next to a body of water. It is uncountable as you cannot refer to "beaches"; it is treated as a general concept.
11. Room - countable noun.
Explanation: A room is an enclosed space in a building. It is countable as you can refer to one room or multiple rooms.
Remember, this explanation is based on general usage and there can be exceptions or different interpretations in specific contexts.