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This quiz consists of 5 multiple choice and 5 short answer questions through A Gem from Isaac Newton.

Multiple Choice Questions

1. How did Archimedes arrive at a number value for pi?
(a) By constructing multi-sided polygons inside and outside a circle and determining their perimeters.
(b) By constructing successively smaller circles inside circles until he realized all of their ratios of diameter to area were equal.
(c) By proving pi could not be equal to one.
(d) By proving that pi could not be a negative number.

2. What did Euclid do in his 48th proposition?
(a) Euclid proved the converse of the Pythagorean Theorem.
(b) Euclid demonstrated the faults of the Pythagorean Theorem.
(c) Euclid proved the Pythagorean Theorem.
(d) Euclid demonstrated how to use the Pythagorean Theorem.

3. What did Gauss set out to prove?
(a) That a circle can have less than 360 degrees.
(b) That Euclid's postulate on straight lines was incorrect.
(c) That the sum of the angles in a triangle is 180 degrees.
(d) That a right angle is always equal to 90 degrees.

4. Who wrote a treatise that supposed that cubic equations may be impossible to solve?
(a) Niccolo Fontana.
(b) Scipione del Ferro.
(c) Luca Pacioli.
(d) Gerolamo Cardano.

5. Numbers whose divisor add up to itself, was considered which type of number according to Euclid?
(a) Perfect number.
(b) Nominal number.
(c) Even number.
(d) Composite number.

Short Answer Questions

1. Which of the following can not be solved using algebra?

2. Which of the following was NOT one of the things Dunham claimed was ingenious about Euclid's proof of the Pythagorean theorem?

3. Which words best describe how solid proofs were developed in Elements?

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

5. Which of the following were an example of twin primes?

(see the answer key)

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