Category: Mathematics
A Beginner’s Guide to Derivatives
What is a Derivatives? In simple terms, a derivative measures how something changes about another thing. If you think about driving a car, your position changes as time passes. The car’s speed, how fast it’s moving at any given moment, is the derivative of your position with respect to time. In mathematics, the derivative is…
Quick Reference Guide to Basic Math Formulas
A solid grasp of mathematical formulas is crucial for success in math. This Quick Reference Guide to Basic Math Formulas brings together essential formulas from key topics such as algebra, geometry, and trigonometry, providing students with a practical tool for quick learning and effective revision. Whether you’re preparing for exams, tackling homework, or building long-term…
Basic Geometry Guide for Students
This Basic Geometry Guide for Students is a simple and clear resource that covers essential concepts like angles, shapes, and key terms. Whether you’re preparing for a test or just starting out, this Basic Geometry Guide for Students offers an easy way to understand and review core geometry topics. Types of Angles Types of Triangles…
How to Find the LCM (Least Common Multiple)
LCM stands for Least Common Multiple. If you’re wondering how to find the LCM, it’s the smallest number that two or more numbers can divide into evenly—without leaving a remainder. In this post, we’ll explain how to find the Least Common Multiple step by step. Methods to Find the LCM There are two common methods…
Arithmetic and Geometric Series Explained with Formulas and Examples
In math, we often see patterns made from numbers. Two common types of patterns are Arithmetic and Geometric Series. First, an arithmetic series is a pattern where the same number is added each time. On the other hand, a geometric series is formed by multiplying by the same number each time. Because of these patterns,…
Quadratic Equations Solver – Real & Complex Roots
Solution of Quadratic equation is explained in my previous post in detailed “https://knowledgesharingplatform.com/solution-of-quadratic-equation-using-quadratic-formula/“. This Quadratic Equations Solver is an easy-to-use tool that helps you solve equations in the form ax² + bx + c = 0. You just need to type in the values for a, b, and c, and the Quadratic Equations Solver will…
How to Find GCD/HCF: Listing, Prime Factorization, Euclidean Algorithm + Online Calculator
“GCD (Greatest Common Divisor)” or “HCF (Highest Common Factor)” is the largest number that can exactly divide two or more numbers, meaning there is no remainder after division. There are three common methods to calculate the GCD: Determine GCD/HCF Using Listing Factors Method In this method, we list all the factors of each number and…
Matrix Calculator – Multiplication, Inverse & Determinants
Welcome to our powerful, user-friendly Matrix Calculator! Whether you’re a student, educator, or engineer, this tool is designed to simplify complex matrix operations and help you solve them with ease. In just a few clicks, you can perform key calculations and get clear, step-by-step explanations for every operation. Whether you’re studying for exams, tackling homework,…
Academic Percentage Calculator – A Fast & Easy Tool for Teachers
Preparing student results can be time-consuming, but our Academic Percentage Calculator helps teachers calculate percentages quickly and accurately. This tool allows educators to enter student marks, and it instantly computes the percentage, reducing the chances of errors. Designed for ease of use, the calculator provides quick results, making student assessments more efficient. Whether for exams,…
Mathematical MCQS(Part-04)
MCQs are the best method for assessing your expertise in a field. Today, most tests are MCQ-based. The below MCQs are part-04 of the Mathematics MCQs, prepared to prepare you for the mathematics test. Mathematical MCQs 1. If x² + 5x + 6 = 0, then the value of x is: A) -2 and -3…
Math Puzzle-5
Are you ready for a fun math puzzle? Challenge yourself and see if you can solve it! Math puzzles are a great way to stimulate your mind and enhance problem-solving skills. Whether you’re a math lover or just looking for something fun to do, this puzzle is for you! Please invite your friends and see…
Weightage Average Calculator
A weighted average is a type of average where each value in a dataset is multiplied by a weight that reflects its relative importance. The formula for calculating a weighted average is Weightage Average = ∑i=1i=n Wi*Xi / ∑ Wi Each data point is multiplied by its corresponding weight, and then all the weighted values…
Navigating Percentages: Simple Steps for Everyday Calculations
Percentages and their uses in real life are everywhere, whether we notice them or not. From checking exam results and calculating discounts at stores to analyzing profits, taxes, or bank interest, percentages make it easier to compare values and understand relationships between numbers. They play a key role in academics, business, finance, shopping, health, and…
Math Puzzle -4
Are you ready for a fun math puzzle? Challenge yourself and see if you can solve it! Math puzzles are a great way to stimulate your mind and enhance problem-solving skills. Whether you’re a math lover or just looking for something fun to do, this puzzle is for you! Please invite your friends and see…
Mathematical MCQ’s (Part-03)
MCQs are the best method for assessing your expertise in a field. Today, most tests are MCQ-based. The below MCQs are part-03 of the Mathematics MCQs, prepared to prepare you for the mathematics test. 1. A shopkeeper bought a book for 300 PKR and sold it for 360 PKR. What is his profit percentage? A)…
Math Puzzle-3
Are you ready for a fun math puzzle? Challenge yourself and see if you can solve it! Math puzzles are a great way to stimulate your mind and enhance problem-solving skills. Whether you’re a math lover or just looking for something fun to do, this puzzle is for you! Please invite your friends and see…
Math Puzzle-2
Are you ready for a fun math puzzle?Challenge yourself and see if you can solve it! Math puzzles are a great way to stimulate your mind and enhance problem-solving skills. Whether you’re a math lover or just looking for something fun to do, this puzzle is for you! Please invite your friends and see who…
Mathematical MCQ’s (Part -02)
MCQs are the best method for assessing your expertise in a field. At present, most tests are MCQ-based. The below MCQs are related to mathematics. Please solve them and check your math basis. 1. What is the value of 7 × (6 + 2) ÷ 2? 35 40 45 28 2. What is the next…
Linear Equation(Two & Three Variables) Calculator
This Linear Equation Calculator is a powerful tool designed to help students, engineers, and professionals solve systems of linear equations with two or three variables quickly and accurately. Whether you’re checking homework, verifying engineering calculations, or exploring algebraic solutions, this calculator provides instant results and saves you time. How to Use the Linear Equation Calculator…
Calculate Angle and Trigonometric Ratios of a Right Angle Triangle
This right triangle calculator is a handy tool designed to help users calculate the missing sides and angles of a right triangle based on the information they provide. By selecting one of three options—Perpendicular and Hypotenuse, Perpendicular and Base, or Base and Hypotenuse—users can input two known values, and the calculator will instantly compute the…
Math Puzzle-1
Math puzzles are a great way to make your brain stronger and help you think better. They are not only fun but also help you learn how to solve problems step by step. When you solve puzzles like this, you use your mind in many ways. You have to think carefully, pay attention to details,…
Area Calculator for Miscellaneous Geometrical Shapes
Area Calculator is a simple and intuitive tool designed to help you easily calculate the area of different geometric shapes! Whether you’re working on a math problem, or just curious about areas, this calculator make the process quick and effortless. How It Works: When you open the Area Calculator, you’ll be prompted to select a…
Mathematical MCQs(Part- 01)
MCQs are the best method for assessing your expertise in a field. At present, most tests are MCQ-based. The below MCQs are related to mathematics. Please solve them and check your math basis. Mathematical MCQs-01 1. Set X={2,3,5,10,12} and Set Y={3,6,9,11} then X∩Y is? A. {2} B. {3} C. {6} D. None 2. Set X={2,3}…
Solution of Quadratic Equation Using Quadratic Formula
A quadratic equation is an equation of degree 2, meaning that the highest exponent of the variable is 2. In its standard form, the quadratic equation is written as ax2+bx+c where a ≠ 0. In this equation, xxx represents an unknown value, while aaa, bbb, and ccc are the coefficients of the equation. There are several methods…
Solution of System of Linear Equation in Two Variables Through Various Method
In this article, we will focus on the solution of systems of two linear equations. However, first understand what the linear equation in two variables is. An equation is said to be a linear equation in two variables if it is written in the below form ax + by + c=0 Here; “x” and “y”…
Matrix Inverse
The inverse of a matrix is another matrix that, when multiplied by the given matrix, yields the multiplicative identity. For example given matrix is A, its inverse is A-1, then A.A-1 = I, where I is the identity matrix. For reference, three different examples are shown below: Examples Example 1: (Inverse of a 4x4matrix) Example 2: (Inverse…