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Question 1: As the number system is further developed, the integers are recognized as a subset of the ________ ("fractions").
Irrational numberRational numberComplex numberReal number

Question 2: There is beauty in a simple and elegant proof, such as ________'s proof that there are infinitely many prime numbers, and in an elegant numerical method that speeds calculation, such as the fast Fourier transform.
EuclidDemocritusArchimedesAnaxagoras

Question 3: [citation needed] Modern logic is divided into recursion theory, model theory, and proof theory, and is closely linked to theoretical ________.
Computer programmingSoftware engineeringComputer scienceProgramming paradigm

Question 4: Further steps needed writing or some other system for recording numbers such as tallies or the knotted strings called quipu used by the ________ to store numerical data.
Pre-Columbian eraInca civilizationFrancisco PizarroInca Empire

Question 5: Trigonometry is the branch of mathematics that deals with relationships between the sides and the angles of triangles and with the trigonometric functions; it combines space and numbers, and encompasses the well-known ________.
Inverse trigonometric functionsGeometryPythagorean theoremEuclid's Elements

Question 6: [citation needed] In his 2002 book ________, Stephen Wolfram argues that computational mathematics deserves to be explored empirically as a scientific field in its own right.
Scientific methodA New Kind of SciencePhilosophy of scienceEmergence

Question 7: [5] ________, on the other hand, stated that "as far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality."[6]
Relationship between religion and scienceAlbert EinsteinIsaac NewtonScientific method

Question 8: What does the following picture show?

  An abacus, a simple calculating tool used since ancient times.
  Carl Friedrich Gauss, himself known as the "prince of mathematicians",[27] referred to mathematics as "the Queen of the Sciences".
  Pythagoras (c.570-c.495 BC) has commonly been given credit for discovering the Pythagorean theorem. Well-known figures in Greek mathematics also include Euclid, Archimedes, and Thales.
  The infinity symbol ∞ in several typefaces.

Question 9: ________ in A Mathematician's Apology expressed the belief that these aesthetic considerations are, in themselves, sufficient to justify the study of pure mathematics.
Edward Charles TitchmarshG. H. HardyJames Joseph SylvesterMichael Atiyah

Question 10: ________ in traditional thought were "self-evident truths", but that conception is problematic.
Mathematical logicSet theoryAxiomatic systemAxiom
















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