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Mathematics Quiz

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Questions and Answers

Which subdiscipline of mathematics deals with the study of properties and relationships of numbers?

Algebra
Number theory (correct)
Analysis
Geometry

What is the primary method used in mathematical proofs?

Deductive reasoning (correct)
Abductive reasoning
Analogical reasoning
Inductive reasoning

In modern mathematics, what are entities stipulated to have certain properties called?

Hypotheses
Axioms (correct)
Theorems
Corollaries

What does most mathematical activity involve?

Discovery of properties of abstract objects (A) Signup and view all the answers

What is the area of mathematics that deals with the study of shapes and the spaces in which they are contained?

Geometry (A) Signup and view all the answers

What is the universal law of gravitation?

Gravitational force is directly proportional to the product of the masses and inversely proportional to the square of the distance between them (D) Signup and view all the answers

What is the SI unit of gravitational constant G?

N m^2/kg^2 (A) Signup and view all the answers

What happens to the gravitational force between two objects if the distance between them is doubled?

It decreases to one-fourth (D) Signup and view all the answers

Flashcards

Number theory

The branch of mathematics focused on studying properties and relationships between numbers.

Deductive reasoning

A method of reasoning that uses logical steps to arrive at a conclusion based on established facts or assumptions.

Axioms

Fundamental statements or principles assumed to be true without proof, forming the foundation of a mathematical system.

Discovery of properties

The core activity in mathematics, involving uncovering characteristics and relationships of abstract objects.

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Geometry

The study of shapes, their properties, and the spaces they occupy.

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Universal Law of Gravitation

A fundamental law in physics that describes the attraction between any two objects with mass. It states that the force of attraction is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

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