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1:21

Do You Know the Expected Number of Flips to Get Three Heads OR Three Tails Consecutively? #maths

0:51

Can You Evaluate This Tricky Looking Integral BY INSPECTION? #mathsshorts #integration #oddfunction

0:57

Can you Find the Limit of this Complex-Valued Expression? #mathsshorts #lhopital #complexnumbers

8:15

How to Use the Multinomial Theorem to Find Expansion Coefficients

1:04

Can You Find the Minimum Value of this Unusual Trigonometric Expression? #mathsshorts #minimum

1:25

Can You Find the Volume of a Solid of Revolution about the Line x=-2? #mathsshorts #integration

1:43

How Many non-Isomorphic Unlabelled Trees With Six Vertices Are There? #mathsshorts #graphtheory

1:14

Can You Disentangle this Cross Product Vector Teaser? #mathsshorts #crossproduct #vectors

0:54

Can You Disentangle this Transformation of Roots Teaser? #mathsshorts #transformationofroots

1:06

Can You Find the Value of 'a'? #mathsshorts #maths #differentiation

0:52

Can You Calculate the Variance of 5+2X Given the Expected Value of X? #mathsshorts #variance

0:43

What is the Domain of this Tricky Looking Function? #domain #compositefunction #maths

1:09

Can You Find this Tricky Looking Limit? #mathsshorts #lhopital #limits

0:54

Can You Find 'x'? (Hint: Think Double Angle Formulae) #mathsshorts #maths #trigonometry

1:07

Can You Work Out the Value of this Composite Function? #compositefunction #mathsshorts #mathstricks

1:17

How Many Solutions are There to This Equation in [1,100]? #mathsshorts #graphicalmethods

1:04

Is This Term EVEN, ODD or NEITHER? #mathsshorts #oddfunction #evenfunction

0:44

Can You Evaluate This Confusing Looking Integral? #mathsshorts #integration

0:43

Can You Solve This Complex Equation for 'z'? #mathsshorts #complexnumbers #arganddiagram

1:50

Can You Calculate P(A)? It's not easy #mathsshorts #probability #conditionalprobability

1:20

Can You Find the Maximum Value of 'y'? #mathsshorts #minimum #maximum

1:24

Can You Evaluate this Tricky Series Summation? #mathsshorts #summingseries

1:30

Can You Solve this Arcsin(Sin(x)) Teaser? #mathsshorts #maths #trigonometry #arcsin

1:08

What is the Expected Number of Playing Cards Above the First Ace? #mathsshorts #probability

1:24

What is the Coefficient of x^3 in this Binomial Expansion? #mathsshorts #binomialexpansion

1:14

Can You Find the Roots of this 'Modulus Quadratic'? #mathsshorts #modulus

1:49

Can You Solve this Equation Without Using any Trig Formulae? #mathsshorts #graphs #trigonometry

0:44

Can You Solve this Equation with a Mixture of Trigonometry and Surds? #mathsshorts #trigonometry

1:22

Can You Evaluate This Very Tricky Integral? #mathsshorts #integration #integrationbyparts

0:59

Can You Evaluate This Seemingly Very Tricky Integral? #mathsshorts #integration

1:16

How Are You At Rearranging Vector Equations? #mathsshorts #lagrangeidentity #vectorequation

0:57

Did You Fall Into the Inequality Trap for the Unwary? #mathsshorts #inequalities #mathstricks

0:51

Can You Find the Minimum Value of this Tricky Trigonometric Expression? #mathsshorts #minimum

1:08

Can you Evaluate this Limit of a Complex-Valued Expression? #mathsshorts #lhopital #complexnumbers

0:42

Can You Find this Tricky Looking Trig Limit? #mathsshorts #lhopital #limits

1:04

Can You Simplify this Cross Product Vector Expression? #mathsshorts #crossproduct #vectors

1:12

Can You Do This Tricky Limit of a Riemann Sum? #mathsshorts #riemann #integration

1:08

Can You Solve this 'Powers of a Root of a Quadratic' Teaser? #mathsshorts

0:53

How Many Real Solutions are There to This Equation? #mathsshorts #graphicalmethods

1:25

Can You Simplify this Tricky Composite Function? #compositefunction #mathsshorts #mathstricks

1:42

Can You Find the Volume of a Solid of Revolution about the Line x=2? #mathsshorts #integration

1:32

How Many Common Roots Do These Two Complex Equations Have? #mathsshorts #complexnumbers

0:54

Can You Solve This Tricky Surd Equation Teaser? #surds #maths #mathsshorts

0:52

Can You Sum this Tricky Looking Series to Infinity? #mathsshorts #mathstricks #seriessummation

0:44

Can You Work Out Where the Arrangement 'Gresty' Would Appear? #maths #counting #permutations

1:09

Is This Expression EVEN, ODD or NEITHER? #mathsshorts #oddfunction #evenfunction

1:11

How Many Terms Are There In This Multinomial Expansion? #mathsshorts #multinomialexpansion

0:51

Can You Solve For 'x'? (Hint: Think Double Angle Formulae) #mathsshorts #maths #trigonometry

1:09

Can You Solve This 'Log of Trig Expression in Exponent' Teaser? #mathsshorts #trigonometry

1:17

For What Positive Values Of 'a' Are There No Real Solutions? #mathsshorts #graphicalmethods

1:33

Can You Sum this Series? (Hint: It's an Arithmetic Geometric Progression) #mathsshorts

0:48

Be Careful of the Brackets in This Power Tower Teaser #mathsshorts #exponents

0:50

What is the Sum of all the Coefficients in this Multinomial Expansion? #mathsshorts #multinomials

0:39

The Probability that a Random Arrangement of a Word is in Reverse Order Is? #mathsshorts #perms

0:58

Try to Simplify this Composite Function - it's easier than it looks #compositefunction #mathsshorts

1:08

Can you Evaluate this Limit Involving a Complex Conjugate? #mathsshorts #complexnumbers #conjugate

1:09

Can You Solve This 'Equilateral Triangle inside Circle inside Square' Teaser? #mathsshorts #areas

1:29

Can You Solve this Arccos(Cos) Teaser? #mathsshorts #maths #trigonometry #arcsin

1:26

Did You Avoid Falling Into the Inequality Trap? #mathsshorts #inequalities #mathstricks

0:48

Can You Find the Minimum Value of this Trigonometric Expression Without Calculus? #mathsshorts

1:22

Can You Find All Four Roots of this 'Modulus Quadratic'? #mathsshorts #modulus

1:02

Can You Calculate the Coefficient of x^3 in this Multinomial Expansion? #mathsshorts #multinomials

1:14

Can You Solve This Tricky Looking Exponential Equation? #mathsshorts #logarithms

1:03

Can You Solve this 'Common Terms of Arithmetic Progressions' Teaser? #mathsshorts

0:49

Can You Solve this 'Vector Modulus' Teaser? #mathsshorts #vectors

0:50

Is This Composite Expression EVEN, ODD or NEITHER? #mathsshorts #oddfunction #evenfunction

1:15

Can You Simplify This Tricky Looking 'Log in Exponent' Teaser? #mathsshorts #logarithms

1:02

Can you Evaluate this Limit Involving a Complex Modulus? #mathsshorts #complexnumbers #complexlimits

1:38

How Many Integers between 20,000 and 89,999 are EVEN and have DISTINCT digits? #mathsshort #counting

1:16

How Many Integers between 20,000 and 89,999 are ODD and have DISTINCT digits? #mathsshort #counting

0:46

What is the Probability that Melanie has Exactly One Pair of Shoes? #mathsshorts #probability

1:27

Can You Solve this Summation of Powers of a Root of a Cubic Teaser? #mathsshorts #complexnumbers

1:52

Can You Work Out Where the Arrangement 'Teasers' Would Appear? #maths #counting #permutations

1:24

Can you Calculate the Expected Area of the Square? #mathsshorts #continuousrandomvariable

1:28

Can You Find 'p' in this Series Sum? (Hint: It's an Arithmetic Geometric Progression) #mathsshorts

1:10

Can You Calculate the Requested Coefficient in this Multinomial Expansion? #mathsshorts

1:13

Can you Evaluate this Limit Involving a Complex Modulus and Image? #mathsshorts #complexlimits

0:42

Can You Solve This Car Race Probability Teaser? #mathsshorts #probability

1:03

Can You Work Out This 'Arrangements of Letters' Probability Teaser? #mathsshorts #perms

1:25

Can You Calculate the Coefficient of x^3 in this Multinomial Expansion? #mathsshorts

0:37

Can You Solve this ArcCos as an Argument of Cos Teaser? #mathsshorts #arccos

1:21

Do You Know The Area Contained Within these Inequalities? #mathsshorts #inequalities

1:24

What is the Probability that Crewe Beat Notts County 2 - 1? #mathsshorts #poissondistribution

1:10

What is the Probability that Fred makes a Profit? #mathsshorts #probability

1:17

Which Option Does NOT Represent the Shaded Area? #mathsshorts #doubleintegrals

0:59

Do You Know the Expected Value of the Reciprocal of a Uniform Distribution? #mathsshorts

0:39

What is The Probability of Being Dealt Four of a Kind? #mathsshorts #probability

1:26

Can You Calculate the Coefficient of x^2025 in this Expansion? #mathsshorts

1:16

What is the Probability that Exactly Three Aces are Next to Each Other? #mathsshorts #probability

0:53

Can You Solve this Vector Dot and Cross Product Teaser? #mathsshorts #vectors

0:45

Can You Work Out the Value of 'a' Given the Probability Density Function? #mathsshorts #probability

0:43

What is the Probability that There is One Crisp of Each Shape Left? #mathsshorts #probability

1:26

Can You Calculate the Covariance of X and Y Given the Table? #mathsshorts #covariance #variance

1:19

Can You Solve This Arithmetic Progression Teaser? #mathsshorts #arithmeticprogression

1:13

Can You Work Out This Poisson Distribution Probability Teaser? #mathsshorts #poissondistribution

0:55

Can You Calculate the Coefficient of x^5 in this Tricky Expansion? #mathsshorts

1:12

Can You Calculate the Variance of (3X-4Y)? #mathsshorts #covariance #variance

1:19

Can You Calculate the Work Done by the Force F(x,y)? #mathsshorts #workdone

0:48

What is the Probability that Four Aces are in Four Different Piles? #mathsshorts #probability

1:44

Which Double Integral Represents the Shaded Area? #mathsshorts #doubleintegrals

1:22

In How Many Arrangements of 'GrestyAcademy' is the 'G' not Next to an 'E'? #maths #counting

1:21

In How Many Arrangements of 'GrestyAcademy' is the 'G' not Next to a Vowel'? #maths #counting

2:06

In How Many Arrangements of 'GrestyAcademy' is the 'G' Next to a Vowel'? #maths #counting

1:00

Can You Solve this Tan of ArcTan Teaser? #mathsshorts #arctan

1:40

Can You Calculate the Variance of (2X+5Y)? #mathsshorts #covariance #variance

0:45

Can You Find the Minimum Value of this Expression Without Calculus? #mathsshorts

1:13

What is the Probability that Bert makes a Profit? #mathsshorts #probability

1:27

Can You Calculate the Variance of (3X-2X^2)? #mathsshorts #covariance #variance

1:24

What are the Coordinates of the Centre of Mass of the Orange Lamina? #mathsshorts #centreofmass

0:54

Can You Find the Sum of all the Coefficients in this Multinomial Expansion? #mathsshorts

1:16

What is the Area of the Region Described by these Inequalities? #mathsshorts #inequalities

0:57

How Many Ordered Triples of Positive Integers Satisfy These Two Equations? #mathshorts #primes

0:59

Can You Find This Probability Using The Multinomial Expansion? #mathsshorts

1:41

How Many Days is Bert Expected to Hold the Shares? #mathsshorts #probability

1:56

What is the Probability that Notts County Beat Crewe by Exactly One Goal? #mathsshorts

0:55

What is the Probability that Ben Holds More Than Two Kings After Discarding? #mathsshorts

0:36

What is the Expected Total Number of Coin Tosses for This Game? #mathsshorts #probability

1:07

What is the Probability a Randomly Chosen Member is a Male Tennis Player? #mathshorts

1:00

Can You Solve this 'Angle Between Two Vectors' Teaser? #mathsshorts #vectors

0:50

What is the Probability that One Hand Contains All Thirteen Hearts? #mathsshorts

0:47

Can You Calculate the Expected Value Given the Joint Probability Density Function? #mathsshorts

1:03

Can You Find the Unknowns a, b and c? #mathsshorts #cubicequation

1:07

Can You Solve This Very Tricky 'Surd in Exponent' Teaser? #mathsshorts #exponentialequation

2:14

Can You Find the Probability Density Function of Y? #mathsshorts #probabilitydensityfunction

1:15

What is the Length of PQ? #mathsshorts #geometry #cosinerule

0:47

Can You Calculate the Probability that Bert makes a Profit? #mathsshorts #probability

1:17

Can You Calculate the Variance of (4X-3X^2)? #mathsshorts #covariance #variance

1:20

What is the Variance of a Variable with Another Variable as its Parameter? #mathsshorts #variance

0:45

What is the Probability that Notts County Beat Crewe 4-3 on their 6th Penalty? #mathsshorts

0:42

What is the Probability that the Chosen Balls are in Ascending Order? #mathsshorts #probability

1:14

What is the Expected Number of Balls Faced in this Cricket Partnership? #mathsshorts #probability

0:42

How Many Hours Before Fred or Kym Win this Game? #mathsshorts #probability

0:57

Arrangements of the Letters in the Word 'Mississippi' - an Examiner's Favourite #mathsshorts

1:06

Be Careful to Correctly Count all the Possible Combinations in this Teaser #mathsshorts #probability

1:08

What is the Probability that A wins this Series of Games? #mathsshorts #probability

1:50

Can You Calculate the Covariance of 3X+4Y and 2X-3Y? #mathsshorts #covariance #variance

1:39

Can You Find the Coordinates of the Centre of Mass of the Orange Lamina? #mathsshorts #centreofmass

0:45

Can You Work Out the Value of 'p' in this Cubic Equation? #mathsshorts #cubicequation

1:34

Can You Calculate the Area of the Region Described by these Inequalities? #mathsshorts #inequalities

1:17

This Trigonometry Teaser Contains a Couple of Traps for the Unwary #mathsshorts #trigonometry

1:02

Can You Correctly Calculate This Coin Toss Probability? #mathsshorts

0:53

Can You Sum this Intriguing Looking Series? #mathsshorts #geometricseries

1:03

Can You Solve This 'Dice Rolling Probability' Teaser? #mathsshorts

1:08

Can You Solve this Vector Triple Product Teaser? #mathsshorts #vectors

1:17

What is the Probability a Randomly Chosen Member is a Female Golfer? #mathshorts

1:25

There's a Quick Way to Sum These Two Gradients - Did You Spot It? #mathsshorts

1:17

What is the Expected Number of Runs Scored in this Cricket Partnership? #mathsshorts #probability

1:42

What is the Percentage Probability that Bob Loses All his Money? #mathsshorts #probability

1:23

What is the Expected Number of Spins Before Bob Stops Playing? #mathsshorts #probability

1:27

What is the Total Area Enclosed by this Curve? #mathsshorts #areaundercurve

0:48

Can You Solve this 'Cacophony of Surds' Teaser? #mathsshorts #roots

1:34

Can You Calculate the Variance of a Variable with Another Variable as its Parameter? #mathsshorts

1:54

What is the Distance between the Centre of Mass of the Two Triangles? #mathsshorts #centreofmass

1:26

Counting Arrangements of the Letters in the Word 'Mississippi' with I and P separated #mathsshorts

1:19

Can You Work Out the Remainder When Dividing the Expression by 16? #mathsshorts #modularmaths

1:04

Can You Find the Cubic Equation with Roots (2α-1), (2β-1) and (2γ-1)? #mathsshorts #cubicequation

1:34

Can You Calculate Var(X-Y+Z) #mathsshorts #covariance #variance

0:53

For What Values of 'x' is This Expression Undefined? #mathsshorts

0:56

Can You Solve This Tricky Logarithmic Word Problem? #mathsshorts #logarithms

1:33

Can You Remember Your Trigonometry T-Formulae? #mathsshorts #trigonometry

1:41

Which Equation has the Most Solutions? #mathsshorts #modulus

1:35

Can You Calculate Var(X|Y=1)? #mathsshorts #variance

1:08

What Is the Range of Possible Values of θ? #mathsshorts #trigonometry

1:46

How Many Solutions are There to This Complicated Looking Equation? #mathsshorts

1:54

Can You Sum the Solutions to This Modulus Equation? #mathsshorts #modulus

1:24

How Many Perfect Square Factors Does 162,000 Have? #mathshorts #perfectsquare

1:24

What is the Fraction of the Interval which Satisfies the Trig Inequality? #mathsshorts

1:50

What is the Length of EF in this Trapezium? #mathsshorts #geometry

1:12

Can You Sum the Real Solutions to this Power Tower Exponential Equation? #mathsshorts

0:47

Which Number is the Smallest (No Calculator Allowed)? #mathsshorts

1:20

How Good Are You at 'Counterexample' Logic Questions? #mathsshorts #logicalreasoning

1:59

Are You Sufficiently Good to Necessarily Answer This Question? #mathsshorts #logicalreasoning

0:56

Can You Find the Point of Rotational Symmetry for this Function? #mathsshorts

1:37

Which of the Five Choices is a Counterexample to the Statement? #mathsshorts #logicalreasoning

1:06

Can You Negate this Boolean Logic Statement? #mathsshorts #logicalreasoning

1:12

How Many Real Solutions Are There To This Modulus Equation? #mathsshorts #modulus

1:20

How's Your Memory of Double Angle Formulae? #mathsshorts #trigonometry

1:32

Can You Work Out This Cosine Teaser Correctly? #mathsshorts #trigonometry

1:25

Is It Really Necessary To Be Able To Answer This Question? #mathsshorts #logicalreasoning

1:42

What are the Coordinates of the Centre of Mass of this Lamina? #mathsshorts #centreofmass

1:36

Test Your Boolean 'Necessary' Logic #mathsshorts #logicalreasoning

0:51

Can You Simplify this 'Fourth Root of a Sum of Powers' Teaser? #mathsshorts

1:34

Can You Evaluate Cov(X, Y)? #mathsshorts

1:15

Can You Sum this Multi Base Log Series? #mathsshorts

1:25

Can you Solve this Perfect Square Factors Problem? #mathshorts

1:42

What is the Fraction of the Interval which Satisfies Both Trig Inequalities? #mathsshorts

1:20

What is the Sum of All 'a' for Which the Cubic has Two Distinct Roots? #mathsshorts

2:06

Which Functional Equation is NOT Reflective Symmetry about x=a? #mathsshorts

1:01

This Functional Equation Has Rotational Symmetry About Which Point?#mathsshorts

1:17

143=11x13 Can Be Used as a Counterexample to How Many of the Statements? #mathsshorts

0:53

Can You Find the Minimum A that Satisfies this Functional Equation?#mathsshorts

1:40

How Many of the Statements are 'Necessary'? #mathsshorts #logicalreasoning

1:19

Which Circle Provides a Counterexample to the Statement? #mathsshorts

1:25

Can You Solve This Trig Teaser? #mathsshorts #trigonometry

0:48

Can You Solve this Multi-Base Log Inequality Teaser? #mathsshorts

1:31

What is the Sum of all Solutions to this Modulus Equation? #mathsshorts #modulus

1:40

Are You Able to Negate this Boolean Logic Statement? #mathsshorts #logicalreasoning

1:25

Can You Find the Second Smallest Value of abs(x)? #mathsshorts #trigonometry

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