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mathematics

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

Which mathematician made contributions to fluid dynamics, optics, and mathematical physics?

a)

George Salmon

b)

George Stokes

c)

Sarah Flannery

d)

Wiliam Hamilton

2.

What area of study did George Stokes primarily focus on in his scientific work, according to Marie Alfred Cornu's remarks?

a)

Electricity

b)

Fluid Dynamics

c)

Waves and their transformations

d)

Thermodynamics

3.

Which of the following contributions by Stokes advanced the science of fluid dynamics?

a)

The study of electric currents in conductors

b)

The analysis of wind's effect on sound intensity and gas properties affecting sound

c)

The discovery of the periodic table

d)

The development of quantum mechanics principles

4.

What scientific principle did Stokes develop to calculate the terminal velocity of a sphere falling in a viscous medium?

a)

Bernoulli's Principle

b)

Stokes' Law

c)

Archimedes' Principle

d)

Pascal's Law

5.

In the falling sphere viscometer, what property of the fluid is calculated using the known terminal velocity, sphere size, sphere density, and fluid density?

a)

Density

b)

Pressure

c)

Viscosity

d)

Surface Tension

6.

Which mathematical subject did Salmon’s 1859 book, Lessons Introductory to the Modern Higher Algebra, focus on?

a)

n-dimensional algebra

b)

Two-dimensional calculus

c)

Elementary geometry

d)

Differential equations

7.

For what achievement was Salmon awarded the Royal Society’s Royal Medal in 1868?

a)

His contributions to fluid dynamics

b)

His work in analytical geometry and the theory of surfaces

c)

His textbook on conic sections

d)

His foundational research in quantum mechanics

8.

What is the primary focus of Sarah Flannery's book, IN CODE: A Mathematical Journey?

a)

Her experiences as a university student

b)

A biography of famous mathematicians

c)

An introduction to basic mathematics for beginners

d)

The story of her Cayley-Purser algorithm and mathematical journey

9.

What notable achievement did Sarah Flannery accomplish at the 1998 Irish Young Scientist Exhibition?

a)

Receiving the Individual Intermediate prize in Mathematics, Physics, and Chemistry

b)

Being awarded the Intel Fellows Achievement Award

c)

Winning the Grand Award in Mathematics

d)

Winning the European Union Young Scientist Award

10.

What inspired Sarah Flannery to write IN CODE, and who did she collaborate with?

a)

She was inspired by her teachers; she collaborated with her classmates.

b)

Her passion for cryptography; she collaborated with her university professor

c)

She was approached by Profile Books; she collaborated with her father, David Flannery.

d)

She wanted to share her science fair experiences; she collaborated with her friends.

11.

What was the primary advantage of Sarah Flannery’s Cayley-Purser algorithm?

a)

It simplified calculus calculations.

b)

It allowed encoding information on the Internet much faster than before.

c)

It provided a way to measure scientific data more accurately.

d)

It improved the quality of digital images.

12.

At what age did Sarah Flannery develop the Cayley-Purser algorithm?

a)

Fourteen

b)

Fifteen

c)

Sixteen

d)

Seventeen

13.

Which major award did Sarah Flannery win in 1999 with her project "Cryptography-A New Algorithm Versus the RSA"?

a)

The Nobel Prize in Mathematics

b)

The Intel International Science and Engineering Fair Grand Award

c)

The Fields Medal

d)

The Irish Young Scientist of the Year and the European Union Young Scientist

14.

What was Hamilton’s main achievement in mathematics in 1843?

a)

Discovering the algebra of quaternions

b)

Developing the theory of relativity

c)

Formulating calculus

d)

Introducing differential geometry

15.

Where did Hamilton have his insight into quaternion algebra and carve the key equation?

a)

Outside Trinity College

b)

On a tree near his home

c)

On Broom Bridge in Dublin

d)

In a lecture hall

16.

What was a groundbreaking aspect of Hamilton's quaternion algebra for his time?

a)

The use of imaginary numbers

b)

The introduction of complex numbers

c)

The abandonment of the commutative law

d)

The focus on 2-dimensional space

17.

What recognition did Hamilton receive in 1835 during the British Association meeting in Dublin?

a)

He was knighted by the lord-lieutenant

b)

He received the Nobel Prize in Physics

c)

He became a professor at the Royal Irish Academy

d)

He was awarded the Fields Medal

18.

What annual event commemorates Hamilton’s discovery of quaternions?

a)

The Broom Bridge Lecture

b)

The Hamilton Walk

c)

The Quaternion Festival

d)

The Dublin Math Symposium

19.

Which institution hosts an annual public Hamilton lecture featuring notable speakers?

a)

Trinity College Dublin

b)

National University of Ireland, Galway

c)

Central Bank of Ireland

d)

Royal Irish Academy

20.

What major change regarding women’s education at Trinity College was approved in 1902?

a)

Degrees would be open to women on the same terms as men

b)

Women could hold faculty positions

c)

Women were allowed to participate in athletic programs

d)

Scholarships were established exclusively for women