Question: A pub /pʌb/, or public house is, despite its name, a private house, but is called a public house because it is licensed to sell alcohol to the general public. It is a drinking establishment in Britain, Ireland, New Zealand, Australia, Canada, Denmark and New England. In many places, especially in villages, a pub can be the focal point of the community. The writings of Samuel Pepys describe the pub as the heart of England. 

The history of pubs can be traced back to Roman taverns, through the Anglo-Saxon alehouse to the development of the modern tied house system in the 19th century. 

Historically, pubs have been socially and culturally distinct from cafés, bars and German beer halls. Most pubs offer a range of beers, wines, spirits, and soft drinks and snacks. Traditionally the windows of town pubs were of smoked or frosted glass to obscure the clientele from the street but from the 1990s onwards, there has been a move towards clear glass, in keeping with brighter interiors. 1. What is a pub?
2. What is it for?
3. what does it serve?
4. Anything else?
5. Are they in America?
6. where? Provide a numbered list of answers.
****
A numbered of answers: 1. a public house
2. drinking
3. alcohol
4. soft drinks and snacks
5. yes
6. new england


Question: "I can't see clearly, because I don't wear my glasses today." We always hear people saying something like this. Glasses are very important to many people. Do you know how they were invented and developed? Glasses took a long time to develop into what you can find in the glasses store today. The Chinese first used colored glasses as fashion. They thought that those glasses had magic, but they didn't think that glasses could help eyes to see clearly. In 1262, the inventor, Roger Bacon, discovered the amazing function of lenses , and he thought that glasses could be used to help people to see. Twenty years later, in Florence, Italy, the inventor, Alessandro di Spina, made the first pair of glasses that could help people to see. Although these glasses worked, scientists didn't understand how glasses helped eyes to see. They thought that eyes sent out light onto whatever a person was looking at, and then the light came back to the eyes. Johannes Kepler finally found out how glasses worked. Inventors continued to improve glasses. In 1784, Ben Franklin created glasses that had bifocal lenses. Many years later, in 1827, George Airy made circle-shaped glasses to correct _ , an eye problem that stops the eyes from seeing things clearly. 1. When did Ben Franklin create glasses
2. what kind
3. what kind did the chinese use?
4. what did they use them for? Provide a numbered list of answers.
****
A numbered of answers: 1. 1784
2. bifocal
3. colored glasses
4. fashion


Question: A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is called a composite number. For example, 5 is prime because 1 and 5 are its only positive integer factors, whereas 6 is composite because it has the divisors 2 and 3 in addition to 1 and 6. The fundamental theorem of arithmetic establishes the central role of primes in number theory: any integer greater than 1 can be expressed as a product of primes that is unique up to ordering. The uniqueness in this theorem requires excluding 1 as a prime because one can include arbitrarily many instances of 1 in any factorization, e.g., 3, 1 · 3, 1 · 1 · 3, etc. are all valid factorizations of 3. 

The property of being prime (or not) is called primality. A simple but slow method of verifying the primality of a given number n is known as trial division. It consists of testing whether n is a multiple of any integer between 2 and . Algorithms much more efficient than trial division have been devised to test the primality of large numbers. These include the Miller–Rabin primality test, which is fast but has a small probability of error, and the AKS primality test, which always produces the correct answer in polynomial time but is too slow to be practical. Particularly fast methods are available for numbers of special forms, such as Mersenne numbers. As of January 2016[update], the largest known prime number has 22,338,618 decimal digits. 1. what is primality?
2. is trial division less efficient than an algorithm
3. what have the algorithms been developed for?
4. name one
5. is it known as error free?
6. name another?
7. which is faster?
8. what are non prime numbers called?
9. is 1 prime?
10. how many digits in the largest prime number? Provide a numbered list of answers.
****
A numbered of answers: 1. a number that con only be divided by 1 and itself
2. yes
3. test the primality of large numbers
4. Miller Rabin
5. no
6. AKS
7. Miller Rabin
8. composite numbers
9. no
10. 22,338,618


Question: Steve was excited about the trip he was taking tonight. The family was going out to his favorite place to eat. Steve loved spaghetti and meatballs, and the restaurant made the very best! 

When Steve and his parents got to the restaurant, his mother had to tell him to stop running so fast. Steve couldn't help himself, he wanted to be inside and at a table so badly. The restaurant had pictures of all the people that used to work there in the past, it had been around for a long time with a history of such great food. It was not the first time his mother had to tell him to slow down. 

When they were taken to their table and went through the curtain to the dining area, Steve had another nice surprise waiting for him. It would not be a table for three, his favorite aunt and uncle were waiting at the table for them! Steve sat down quickly to get some of the bread sticks before they were all gone. 

Steve did not even need a menu, he knew what he wanted. Bring on the spaghetti and meatballs, nice and hot! 1. why was steve excited?
2. where was he going?
3. did he like spaghetti?
4. and also meat balls?
5. was the restaurant old or new?
6. what did his mother have to tell him when they got there?
7. what was the other surprise for steven?
8. did Steven have bread sticks?
9. what did he want to eat?
10. hot or cold? Provide a numbered list of answers.
****
A numbered of answers:
1. taking a trip
2. his favorite restaurant
3. yes
4. yes
5. old
6. to slow down
7. his aunt and uncle were there
8. yes
9. spaghetti and meatballs
10. hot