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Three Real and One Fake - Maths

I have shamelessly stolen QM's new quiz format idea. Feel free to make similar quizzes (especially if you want to make an easier version). For each category, select the answer that does not belong.
Quiz by TWM03
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Last updated: January 18, 2021
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First submittedJanuary 18, 2021
Times taken159
Average score46.7%
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1. Prime numbers
19 ✓
79 ✓
97 ✓
91 ✓
91 = 7 × 13
2. Triangle centres (a triangle centre is a point that can be defined as the "centre" of the triangle by some metric)
Circumcentre ✓
Epicentre ✓
Orthocentre ✓
Centroid ✓
"Epicentre" is a term used in seismology, in connection to earthquakes. It has nothing to do with triangles.
3. Distributions in statistics
Standard normal distribution ✓
Poisson distribution ✓
Conjunct distribution ✓
Binomial distribution ✓
4. "Fundamental" theorems
Fundamental theorem of arithmetic ✓
Fundamental theorem of algebra ✓
Fundamental theorem of calculus ✓
Fundamental theorem of geometry ✓
5. Real numbers
Googolplex ✓
0 ✓
∞ ✓
π ✓
There are many mathematical formalisations of the concept of infinity, but it is certainly not a real number.
6. Things that can be represented by a symbol commonly found on a QWERTY keyboard
Limit ✓
Greater than ✓
Factorial ✓
Subtract ✓
A limit is usually denoted by "lim"
7. Constants named after individuals
Skewes's number ✓
Graham's number ✓
Fermat's number ✓
Euler's number ✓
There is a category of numbers called Fermat numbers, but it doesn't refer to a specific constant.
8. Mathematicians who made significant contributions to number theory
Leonhard Euler ✓
Pierre de Fermat ✓
Isaac Newton ✓
Carl Friedrich Gauss ✓
As a mathematician, Newton is notable mostly for inventing calculus.
9. Regular (Platonic) three-dimensional shapes
Enneahedron ✓
Cube ✓
Tetrahedron ✓
Icosahedron ✓
It is impossible to construct a regular enneahedron (which would be a nine-faced shape)
10. Square numbers
16384 ✓
0 ✓
1234321 ✓
4792 ✓
Square numbers can never end with the digit 2.
11. Things there are known to be infinitely many of
Prime numbers ✓
Digits in the full decimal expansion of π ✓
Rational numbers between 0.499 and 0.501 ✓
Perfect numbers ✓
It is not known whether there are infinitely many perfect numbers or not.
12. Theories in maths
Galois theory ✓
Graph theory ✓
Group theory ✓
Girth theory ✓
13. Mathematicians of the 20th century
Bernhard Riemann ✓
Paul Erdős ✓
G.H. Hardy ✓
Srinivasa Ramanujan ✓
Riemann died in 1866.
14. Mathematical terminology relating to vegetation
Tree ✓
Bud ✓
Root ✓
Field ✓
As of yet, there is no mathematical object commonly called a "bud". Trees are found in graph theory, fields are found in group theory and most people have heard of square roots.
15. Trigonometric functions
Cosecant ✓
Sine ✓
Bicosine ✓
Arctangent ✓
There is no such thing as a bicosine. The arctangent is the inverse function of the tangent and the cosecant of an angle is equal to one divided by the sine of the angle.
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