PINKLETES
LEARN
Welcome to the Learn section. Here, we encourage you to explore any topics that interest you. In each section we explain the basics of the topic and provide practice sheets. You can also use this page to study for our Pinkletes Competition
Number theory is a branch of mathematics that focuses on the properties and relationships of integers, often referred to as whole numbers. It is a pure and abstract field of mathematics that deals with the study of integers and their fundamental properties. Currently we cover divisibility, prime numbers, and factorials. Click Number Theory to learn more!!
When you divide one number by another, the remainder is the amount left over after the division. Remainder can be expressed using %. Learn more by clicking Remainders!
The Pigeonhole Principle, also known as Dirichlet's principle or box principle, states that if you have n-1 holes and n pigeons, then there will be a scenario when one hole contains at least 2 pigeons. This principle is commonly used to prove a certain property will be met whenever we have greater than a certain number of instances of some event. Learn more by clicking Pigeon Hole Principle!
Geometry theorems are statements that express mathematical relationships and properties concerning shapes, figures, angles, and other geometric elements. These theorems are fundamental in proving various geometric properties. Learn more by clicking Geometry Theorems!
Product principle is used for combinatorics and is a basic counting principle. It follows the rule that if X and Y are two independent things, (meaning one won't affect the other), and there are M number of options of X and N number of options for Y, then there are M x N number of ways for both thing to occur. Learn more by clicking Product Principle!
Combinatorics is a branch of mathematics concerned with counting, arranging, and organizing objects or elements according to specified rules or constraints. It deals with the study of finite or discrete structures and explores various methods for counting and analyzing combinations and permutations of objects. Learn more by clicking Combinatorics!
Pascal's Triangle is a triangular array of numbers named after the French mathematician Blaise Pascal. The triangle is constructed such that each number in the triangle is the sum of the two numbers directly above it. Pascal's triangle can help with the binomial expansion, which is covered in this section. Learn more by clicking Pascal's Triangle!
A sequence is an ordered list of numbers, which are called terms. Each term in a sequence is typically defined by a specific rule or formula. Sequences can be finite (with a limited number of terms) or infinite (continuing indefinitely). Learn more by clicking Sequences!