ALL Rules for Fractions – Calculating

From Math Queen. In this math video I (Susanne) explain how to calculate fractions. We add, subtract, mulitply and divide fractions and look at all the rules for these calculations. Mathematics explained. 00:00 Intro – Fractions Rules 0:19 Add Fractions 3:04 Subtract Fractions 5:45 Multiply Fractions 6:58 Divide Fractions 8:34 See you later! *My German…

Antiderivatives for Beginners – Calculus

From Math Queen. In this math video I (Susanne) explain how to find the antiderivatives of polynomial functions. We go through the examples of Calculus step by step and make the opposite of the differentiation. Mathematics explained. 00:00 Intro – Antiderivatives 0:17 Example 1 3:31 Example 2 6:00 Example 3 7:53 Example 4 11:57 See…

Completing the Square – Standard Form to Vertex Form

From Math Queen. In this math video I (Susanne) explain how to convert the quadratic function from the standard form to the vertex form using the Completing the Square Method. Mathematics explained. 00:00 Intro – Completing the Square 0:35 Example 1 6:56 Example 2 12:52 See you later! *My German Math Channel:* ​⁠ @MathemaTrick *Find…

Can you solve this Geometry Problem?

From Math Queen. In this math video I (Susanne) explain how to solve the geometry puzzle. We use the Pythagorean Theorem in the right triangle to find the length of the radius of the quarter circle. Mathematics explained. 00:00 Intro – Math puzzle 0:16 Solution 2:55 Pythagorean Theorem 5:50 See you later! *My German Math…

The Sigma Notation Explained – Evaluate Summation

From Math Queen. In this math video I (Susanne) explain how to evaluate sums with the Sigma notation. We write out what is meant by the summation symbol. Mathematics explained. 00:00 Intro – Sigma Notation 0:15 Example 1 3:26 Example 2 5:23 Example 3 7:00 Example 4 8:28 Example 5 9:26 Example 6 11:05 Example…

Simplifying Square Roots – Step by Step

From Math Queen. In this math video I (Susanne) explain how to partially simplify square roots. Partially simplifying a square root involves rewriting it in a form where a perfect square factor has been extracted from inside the radical. This results in a simplified expression with a coefficient outside the radical and a smaller number…

Can YOU do it? – Solve the equation!

From Math Queen. In this math video I (Susanne) explain how to solve the equation with x to the power of x. We compare both sides and find a different expression for the power by applying a rule how to deal with a product in the exponent. Mathematics explained. 00:00 Intro – Solve for x…

Hidden numbers – Can you find them?

From Math Queen. In this math video I (Susanne) explain how to solve the question from a maths competition. We have to find integers, so that the equation is fulfilled. We use a system of equations to solve this riddle. Mathematics explained. 00:00 Intro – Maths Competition 0:38 Solution 5:29 System of Equations 4:34 See…

Calculus: Find the derivative! – Fraction, Quotient rule

From Math Queen. In this math video I (Susanne) explain how to find the derivative of a quotient of two functions. We use the quotient rule in Calculus to differentiate the fractional function. Mathematics explained. 00:00 Intro – Quotient rule 0:16 Example 1 7:00 Example 2 11:36 See you later! *My German Math Channel:* ​⁠…

How fast can YOU solve this equation?

From Math Queen. In this math video I (Susanne) explain how to solve the equation for x. We use two methods to solve the polynomial equation by making a case distinction and by factoring. Mathematics explained. 00:00 Intro – Solve the equation 1:09 First method 6:13 Second method 10:40 See you later! *My German Math…

Are YOU smart enough to get into Cambridge?

From Math Queen. In this math video I (Susanne) explain how to solve the exponential equation of the admission test for the Cambridge university. We simplify the equation and use substitution to solve this entrance exam question. Mathematics explained. 00:00 Intro – Cambridge Admission Test 1:02 Solve the equation 7:56 Substitution 13:42 Quadratic equation 17:11…

Dividing mixed numbers – Math tutorial

From Math Queen. In this math video I (Susanne) explain how to divide mixed fractions. We convert the mixed numbers into improper fractions and divide by multiplying with the reciprocal. Mathematics explained. 00:00 Intro – Mixed numbers 0:11 Example 1 5:15 Example 2 8:03 Example 3 10:16 See you later! *My German Math Channel:* ​⁠…

Is it possible to find the area? – Geometry Puzzle

From Math Queen. In this math video I (Susanne) explain how to find the area of the rectangle. We use the tangent to the semicircle and the Pythagorean Theorem to solve this Geometry problem. Mathematics explained. 00:00 Intro – Math puzzle 0:58 Area rectangle 4:04 Pythagoras 7:39 See you later! *My German Math Channel:* ​⁠…

Find the Angle between two Vectors

From Math Queen. In this math video I (Susanne) explain how to find the angle between two vectors. We use the formula with the cosine and solve for alpha. Mathematics explained. 00:00 Intro – Angle vectors 0:14 Example 1 5:22 Example 2 7:52 See you later! *My German Math Channel:* ​⁠ @MathemaTrick *Find me on…

Can YOU solve this riddle? – Math puzzle

From Math Queen. In this math video I (Susanne) explain how to solve this riddle about the age of the mother and the daughter. A mother is now three times as old as her daughter. In 5 years, she will be five times as old as her daughter was 5 years ago. We use a…

Oxford Admission Test – Where is the corner?

From Math Queen. In this math video I (Susanne) explain how to solve the question from the Admission test of the Oxford University. We have to find the corner of the square and use vectors to find them. Mathematics explained. 00:00 Intro – Admission test 0:25 Solution 1:45 Finding C 6:11 Finding D 9:32 Finding…

Simplify the fraction! – With variables

From Math Queen. In this math video I (Susanne) explain how to simplify fractions with variables. We find a common denominator and subtract the fractions and simplify the expression by factorising. Mathematics explained. 00:00 Intro – Simplify 0:09 Example 1 6:11 Example 2 10:44 Example 3 20:28 See you later! *My German Math Channel:* ​⁠…

Area between two curves – Calculus, Integrals

From Math Queen. In this math video I (Susanne) explain how to find the area between two curves in calculus. We calculate the intersection points and solve the integral. Mathematics explained. 00:00 Intro – Area between curves 0:55 Intersection points 3:21 Integral 6:54 Solving Integrals 11:02 See you later! *My German Math Channel:* ​⁠ @MathemaTrick…

Can you solve this Geometry Puzzle?

From Math Queen. In this math video I (Susanne) explain how to find the area of this geometric figure, that consists of circles, semi-circles and quarter circles. We calculate the area by finding the area of the square first and subtracting the area of the circles. Mathematics explained. 00:00 Intro – Math puzzle 0:18 Solution…

How fast are you? – Solving fractional equations

From Math Queen. In this math video I (Susanne) explain how to solve the fractional equation for x. We take a look at the domain and use two different methods. Mathematics explained. 00:00 Intro – Equation 0:11 Method 1 3:22 Method 2 4:44 See you later! *My German Math Channel:* ​⁠ @MathemaTrick *Find me on…

10th grade in Germany – Math problem Triangle

From Math Queen. In this math video I (Susanne) explain how to solve the math problem about a right triangle. We use the Pythagorean theorem and solve the system of equations. Mathematics explained. 00:00 Intro – Geometry 0:23 Triangle 3:28 Solve the equation 5:58 Quadratic Formula 10:36 See you later! *My German Math Channel:* ​⁠…

Convert a fraction to percent – Math tutorial

From Math Queen. In this math video I (Susanne) explain how to convert fractions to percents. We write the fraction with a denominator of 100 and get the percentage from the numerator. Mathematics explained. 00:00 Intro – Fractions 0:12 Example 1 0:56 Example 2 1:52 Example 3 2:21 Example 4 4:02 Example 5 4:58 Example…

How to find the tangent line – Function, Calculus

From Math Queen. In this math video I (Susanne) explain how to find the equation of the tangent line of the function at the point P. We use the derivative to find the slope of the line. Mathematics explained. 00:00 Intro – Tagent Line 1:15 Coordinates of P 3:02 Slope of the line 6:22 Finding…

Exponential equations – How to solve them!

From Math Queen. In this math video I (Susanne) explain how to solve exponential equations. We use the logarithm to solve for x and get x out of the exponent. Mathematics explained. 00:00 Intro – Exponential equations 0:12 Example 1 5:17 Example 2 9:40 Example 3 13:00 See you later! *My German Math Channel:* ​⁠…

Can YOU find the number? – Math Puzzle

From Math Queen. In this math video I (Susanne) explain how to find the number ABCD, that is multiplied by 4 gives us DCBA. We use long multiplication to solve this problem and think about the carry during multiplication. Mathematics explained. 00:00 Intro – Math puzzle 0:30 Multiplication by 4 2:00 Finding A 4:24 Finding…

Can you solve this equation? – With parameter

From Math Queen. In this math video I (Susanne) explain how to solve the linear equation with the parameter a for x. We make a case distinction and find the solution. Mathematics explained. 00:00 Intro – Parameter 0:43 Linear equation 3:59 Case distinction 5:24 2nd case 7:03 See you later! *My German Math Channel:* ​⁠…

MATH QUIZ – Basics 10th Grade

From Math Queen. In this math video I (Susanne) explain how to solve the 10th Grade test about the basics of maths. We answer the questions without a calculator. Mathematics explained. 00:00 Intro – Math Test 0:15 Question 1 0:56 Question 2 2:16 Question 3 3:51 Question 4 5:02 Question 5 5:44 Question 6 7:09…

Can you solve THIS equation? – Domain and Solution Set

From Math Queen. In this math video I (Susanne) explain how to find the domain and solution set of the equation with a square root. We square and solve the quadratic equation by using factorization. Mathematics explained. 00:00 Intro – Solving equations 0:18 Domain 2:28 Solve the equation 6:09 Factorising equations 9:14 Solution Set 11:10…

Can YOU find the area? – Geometry puzzle

From Math Queen. In this math video I (Susanne) explain how to find the area of this Geometry puzzle. We use similar triangles to calculate the product of the sides of the rectangle. Mathematics explained. 00:00 Intro – Math puzzle 0:34 Area Rectangle 2:09 Similar Triangles 6:06 See you later! *My German Math Channel:* ​⁠…

Math puzzle – Can YOU find the area?

From Math Queen. In this math video I (Susanne) explain how to find the area of this figure. We have a quarter circle and use the Pythagorean Theorem to find the radius of the half circle. We solve the linear equation and find the area. Mathematics explained. 00:00 Intro – Math puzzle 0:47 Area Quarter…

MIT Entrance Exam from 1869! – Can you solve it?

From Math Queen. In this math video I (Susanne) explain how to solve the 7 questions of the MIT entrance exam from 1869. We simplify terms, solve equations and a system of equations of this past university exam. Mathematics explained. 00:00 Intro – Entrance Exam 0:15 Question 1 2:13 Question 2 3:56 Question 3 11:02…

Can you solve it? – Addition wall problem

From Math Queen. In this math video I (Susanne) explain how to solve the addition wall. We set up a system of equations and solve it for the two variables x and y. Mathematics explained. 00:00 Intro – Addition wall 0:29 Solution 2:18 System of Equations 6:24 See you later! *My German Math Channel:* ​⁠…

How to Graph Lines – Linear Functions

From Math Queen. In this math video I (Susanne) explain how to graph linear functions. We draw the lines in the coordinate system with the slope intercept form of the linear equation. Mathematics explained. 00:00 Intro – Linear functions 0:18 Example 1 2:59 Example 2 4:40 Example 3 6:09 Example 4 8:54 Example 5 10:12…

Who wants to be a MILLIONAIRE? – Math question

From Math Queen. In this math video I (Susanne) explain how to solve the 32,000$ question from Who wants to be a Millionaire. We add the numbers from 1 to 100 and find the Little Gauss formula on how to find the sum of the first n positive integers. Mathematics explained. 00:00 Intro – Question…

Finding local extrema of the function – For beginners

From Math Queen. In this math video I (Susanne) explain how to find the extrema of the polynomial function for beginners. We find the derivative and set it to zero to find the critical points and determine with the slope of the function if it’s a minimum or maximum. Mathematics explained. 00:00 Intro – Extrema…

Quick Tricks to Calculate Percentages in Your Head

From Math Queen. In this math video I (Susanne) explain how to calculate percentages in your head. There is a trick how to do the calculations quickly. Mathematics explained. 00:00 Intro – Percentage 0:11 Example 1 2:03 Example 2 2:37 Example 3 3:41 Example 4 4:32 Example 5 6:00 Trick! 6:40 See you later! *My…

Which fraction is the greatest? – Comparing fractions

From Math Queen. In this math video I (Susanne) explain how to compare fractions. We find a common denominator and decide which fraction is greater. Mathematics explained. 00:00 Intro – Fractions 0:10 Example 1 0:58 Example 2 2:55 Example 3 5:36 Example 4 8:26 See you later! *My German Math Channel:* ​⁠ @MathemaTrick *Find me…

How is THAT possible? 😳 – Math problem

From Math Queen. In this math video I (Susanne) explain how to apply the order of operations to this math problem. We learn about using factorial in combinatorics to calculate how many ways there are to arrange people in a row. Mathematics explained. 00:00 Intro – Question 0:16 Order of operations 3:13 Factorial 4:47 See…

Which numbers are missing? – Math puzzle

From Math Queen. In this math video I (Susanne) explain how to solve this math puzzle. We solve the system of equations by eliminating variables. Mathematics explained. 00:00 Intro – Math puzzle 0:15 Find the equations 1:07 System of equations 8:31 Quadratic Equation 12:26 Solutions 15:30 See you later! *My German Math Channel:* ​⁠ @MathemaTrick…

Find the length of x – Math problem

From Math Queen. In this math video I (Susanne) explain how to solve the geometry problem by solving a quadratic equation with the quadratic formula. Mathematics explained. 00:00 Intro – Geometry problem 0:55 Solution 3:36 Solve the equation 5:50 Quadratic formula 8:56 See you later! *My German Math Channel:* ​⁠ @MathemaTrick *Find me on Instagram:*…

Solve for the variable R2 – Physics Formulas

From Math Queen. In this math video I (Susanne) explain how to solve this formula for the variable R2. We multiply the equation to get rid of the fraction and factor out common factors. Mathematics explained. 00:00 Intro – Solve for variable 0:07 Solution 4:55 See you later! *My German Math Channel:* ​⁠ @MathemaTrick *Find…