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This quiz consists of 5 multiple choice and 5 short answer questions through Archimedes' Determination of Circular Area.

Multiple Choice Questions

1. What did the Pythagorean Theorem accomplish for mathematics?
(a) The ability to find square roots.
(b) The concept of constructing useful mathematics.
(c) The ability to measure angles.
(d) The concept of providing a logical proof.

2. Which of the following were an example of twin primes?
(a) 19 and 22.
(b) 11 and 13.
(c) 15 and 16.
(d) 2 and 6.

3. Which of the following is true in modern math about twin primes?
(a) They are infinite.
(b) They are not considered whole numbers.
(c) Their sum is always another prime number.
(d) We don't know if they are finite or infinite.

4. What did Plato use his inspiration from Euclid for?
(a) To prove Euclid's number theory was incorrect.
(b) To classify geometric shapes by their complexity.
(c) To construct his theory on the shape of the Universe.
(d) To create a new theorem of algebra.

5. Which of the following was NOT one of the things Dunham claimed was ingenious about Euclid's proof of the Pythagorean theorem?
(a) Euclid constructed squares on the sides of right triangles.
(b) Euclid used propositions about similar angles and parallel lines.
(c) Euclid stated that the diagonal hypotenuse of a right triangle is equal to the sums of the squares of the two legs.
(d) Euclid used his own axioms and propositions to show relationships,

Short Answer Questions

1. Which is one of the common notions presented in Elements?

2. Which of the following was an important proposition given by Euclid's number theory?

3. In Elements, how many postulates must be accepted as given?

4. What was the bases of Hippocrates's proof ?

5. What was Euclid's definition of a prime number?

(see the answer key)

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