Math: Arithmetic, Algebra, and Geometry

Which branch of mathematics is primarily concerned with determining unknown quantities by using symbols to represent numbers and quantities?

A surveyor needs to determine the height of a tall building using angles of elevation and distances. Which branch of mathematics is MOST applicable to this task?

Which area of mathematics focuses on the properties of numbers, especially integers, including prime numbers, divisibility, and congruences?

A computer scientist is designing a new data structure and needs to analyze the relationships between different elements within the structure. Which area of mathematics would be MOST helpful for this task?

An engineer is tasked with optimizing the flow of traffic in a city to reduce congestion. Which mathematical field would be MOST relevant to solving this problem?

In fluid dynamics, engineers often need to simulate how air flows around an airplane wing to optimize its design. Which branch of mathematics is MOST essential for developing these simulations?

Economists use models to predict consumer behavior based on various factors such as income and price elasticity. Which mathematical field MOST directly supports the creation and analysis of such models?

Which branch of mathematics focuses on studying properties that are preserved under continuous deformations, such as stretching and bending, without tearing or gluing?

When proving that the square root of 2 is irrational, which proof technique is typically employed?

Which mathematical constant represents the ratio of a circle's circumference to its diameter?

In the context of mathematical foundations, what are fundamental assumptions accepted without proof, which serve as the starting point for developing mathematical theories, known as?

Which branch of mathematics provides the theoretical underpinnings for calculus and rigorously studies real numbers, sequences, and functions, focusing on concepts like convergence, continuity, and differentiability?

A cryptographer is designing a new encryption algorithm. Which mathematical field is MOST likely to provide relevant tools and techniques?

In quantum mechanics, which mathematical tool is extensively used to describe the states of particles and their evolution over time?

In economics, which mathematical field is used to model situations where the outcome of one's decision depends significantly on the actions of others?