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LEONHARD EULER – SWISS MATHEMATICIAN

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

Where was Leonhard Euler born?

a)

Russia

b)

Switzerland

c)

France

d)

Germany

2.

In which city did Euler spend most of his academic life?

a)

Vienna

b)

Moscow

c)

St. Petersburg

d)

Berlin

3.

What is the equation known as Euler's Identity?

a)

eiπ = -1

b)

eiπ = 1

c)

eiπ = 0

d)

eiπ = 2

4.

What problem did Euler solve in 1735, laying the foundations of graph theory?

a)

The Fibonacci Sequence Problem

b)

The Pythagorean Theorem Problem

c)

The Quadratic Equation Problem

d)

The Seven Bridges of Königsberg Problem

5.

What is the Euler Characteristic for the surfaces of polyhedra?

a)

Vertices + Edges + Faces = 0

b)

Vertices - Edges + Faces = 2

c)

Vertices + Edges - Faces = 1

d)

Vertices - Edges - Faces = 0

6.

Which mathematical concept did Euler pioneer that describes the asymptotic distribution of prime numbers?

a)

Euler's Number

b)

Euler's Formula

c)

Euler's Theorem

d)

Prime Number Theorem

7.

What did Euler prove using the divergence of the harmonic series?

a)

The convergence of geometric series

b)

The sum of infinite series

c)

The infinitude of primes

d)

The existence of irrational numbers

8.

In which country did Euler spend the rest of his life after accepting an invitation from Catherine the Great?

a)

Russia

b)

Switzerland

c)

France

d)

Germany

9.

What tragic event marred Euler's second stay in Russia?

a)

Earthquake

b)

Tornado

c)

Flood

d)

Fire

10.

Who did Euler marry after the loss of his first wife, Katharina?

a)

Catherine the Great

b)

Salome Abigail

c)

Sophia Charlotte

d)

Maria Theresa