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Mathematics 0003   Difficult

 
 
Correct answers are highlighted in blue
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1. How many functions of an angle are commonly used in trigonometry?
 
3
4
6
9

Sine, Cosine, Tangent, Cotangent, Secant and Cosecant
 
 
2. In which century were logarithms invented?
 
16th
17th
18th
19th

They were invented in the early 17th century to speed up calculations
 
 
3. Which is not a type of equation - Bonne, Dirac, Drake, Fresnel?
 
Bonne
Dirac
Drake
Fresnel

Bonne is a type of map projection
 
 
4. Which German mathematician showed there are many kinds of infinity?
 
Cantor
Frege
Gödel
Riemann

Cantor was however unable to prove the continuum hypothesis
 
 
5. In mathematics, when is a topos said to be "Boolean"?
 
Internal language is classical
Internal language is incomplete
Internal language is intuitionist
Internal language is Platonist
 
 
6. How many Platonic solids are there?
 
5
6
7
8

Cube, dodecahedron, icosahedron, octahedron, tetrahedron
 
 
7. What is Euclidean geometry?
 
Study of congruent triangles
Study of parallelograms
Study of plane and solid figures
Study of projective invariants

Euclid was a hugely influential Greek mathematician in about 300BC
 
 
8. Where are the origins of homological algebra to be found?
 
Algebraic arithmetic
Algebraic geometry
Algebraic topology
Algebraic trigonometry
 
 
9. In mathematics what is a surd called when it is not pure?
 
Grey
Imperfect
Irrational
Mixed
 
 
10. What branch of geometry studies curves, surfaces and manifolds?
 
Algebraic geometry
Analytic geometry
Differential geometry
Projective geometry
 
 
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