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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 taken153
Average score46.7%
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1. Prime numbers
91 ✓
19 ✓
97 ✓
79 ✓
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)
Epicentre ✓
Centroid ✓
Orthocentre ✓
Circumcentre ✓
"Epicentre" is a term used in seismology, in connection to earthquakes. It has nothing to do with triangles.
3. Distributions in statistics
Poisson distribution ✓
Standard normal distribution ✓
Conjunct distribution ✓
Binomial distribution ✓
4. "Fundamental" theorems
Fundamental theorem of geometry ✓
Fundamental theorem of arithmetic ✓
Fundamental theorem of algebra ✓
Fundamental theorem of calculus ✓
5. Real numbers
0 ✓
π ✓
∞ ✓
Googolplex ✓
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
Factorial ✓
Greater than ✓
Subtract ✓
Limit ✓
A limit is usually denoted by "lim"
7. Constants named after individuals
Skewes's number ✓
Graham's number ✓
Euler's number ✓
Fermat'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
Isaac Newton ✓
Leonhard Euler ✓
Carl Friedrich Gauss ✓
Pierre de Fermat ✓
As a mathematician, Newton is notable mostly for inventing calculus.
9. Regular (Platonic) three-dimensional shapes
Tetrahedron ✓
Enneahedron ✓
Icosahedron ✓
Cube ✓
It is impossible to construct a regular enneahedron (which would be a nine-faced shape)
10. Square numbers
0 ✓
1234321 ✓
16384 ✓
4792 ✓
Square numbers can never end with the digit 2.
11. Things there are known to be infinitely many of
Digits in the full decimal expansion of π ✓
Prime numbers ✓
Perfect numbers ✓
Rational numbers between 0.499 and 0.501 ✓
It is not known whether there are infinitely many perfect numbers or not.
12. Theories in maths
Galois theory ✓
Group theory ✓
Graph theory ✓
Girth theory ✓
13. Mathematicians of the 20th century
G.H. Hardy ✓
Bernhard Riemann ✓
Paul Erdős ✓
Srinivasa Ramanujan ✓
Riemann died in 1866.
14. Mathematical terminology relating to vegetation
Tree ✓
Field ✓
Root ✓
Bud ✓
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
Sine ✓
Bicosine ✓
Cosecant ✓
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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