The Best Math ExplanationsMath Concepts

Why your toilet roll seems to run out faster near the end

2 medium pizzas or 1 large — which gives you more?

Why do bees build hexagons, not circles or squares?

Keep your chai hot for longer — using math

Can bugs do math?

Bees use a secret math code

Fibonacci and bees

The math behind the honey bee waggle dance

The mathematician bees

These insects use math to survive!

How many people can stand in a triangular room?

What is the best Black Friday deal?

Your July 4th cookout just got costlier — here is why

The math behind your cereal breakfast

Which glass holds more liquid — math can tell you

An elephant can pass through an A4 sheet of paper

Your soda can has a math flaw

The chocolates are shrinking — shrinkflation explained

Fold a sheet of paper to reach the moon

To the Moon — exponential growth

How many Subway sandwiches can you make?

How full is your glass really?

The math behind Halloween chocolate treats

A genius mathematical tool — the tablet counting triangle

The math behind Barcelona's tiki-taka

How graphs are used to mislead the public

Strange and weird graphs that lie

COVID-19 graphs that misled people

Global warming has come to a pause — has it?

Do not trust graphs blindly

Birthday paradox — in a class of 23, two people likely share a birthday

Your friends have more friends than you do — always. Why?

"8 out of 10 dentists recommend" — what does that actually mean?

A 99% accurate test. You test positive. Are you probably sick?

The pill scare — how statistics mislead in medicine

The horizon is closer than you think

How does GPS work?

Simple math behind GPS

The bet most people lose

Patterns within randomness — explained with mocktails

Calculate the length of a tree just by looking at it

Bad math leads to bad decisions

Different trees, same leaf count — pigeonhole principle

Hair twins are real — the pigeonhole principle

200+ ways to build a gym routine — combinatorics

Is your password secure?

How secure is your password?

Is your password really safe?

Fun with flags — counting permutations

Never repeat the same outfit — permutations in everyday life

The math of shuffling 52 cards

Can YouTube ever run out of video IDs?

Can screens really show a billion colors?

Easy ways to make billions — compound interest explained

The Rule of 72 — how fast does your money double?

Can compound interest generate infinite money?

Small changes, huge impact — the math of compound growth

Do not trust every broker — do the math first

Keep your salary a secret — the math of averages

Voting math — why more popular candidates can lose

Does your vote actually decide the winner?

How math declares election winners — US elections 2024

Not enough voters? Here is how math can win elections

Is this the last date of the century?

Only one more date like this left this century

Friday the 13th is inevitable — calendar math

67 is viral — but also a math superstar

The mysterious black hole of numbers

The magic of 1089

Mathematical black hole

These numbers hide a secret

How math shattered a king's ego

Prime numbers make gears last longer

How prime numbers prevent mechanical breakdowns

Do these gears turn? The odd-even gear puzzle

The 7-bridge puzzle that changed mathematics

How many bridges can you cross exactly once?

Connect them all — graph theory with islands

Hidden math in credit card numbers

Math behind the secret space message

The math behind iPhone 15 specs

What3Words — every location in just 3 words

Chandrayaan 3 — why ISRO chose this path to the moon

Chandrayaan's path to the moon

A walk in space — geometry of the cosmos

How planes fly the shortest path — great circle routes

How shadows helped measure Earth's circumference

How mathematicians measured the Earth

How big is the Sun? A solar eclipse can tell you

How much gold has humanity ever mined?

The math of horse racing bets — expected value explained

Can you generate infinite money with infinite series?

Will the ball hit a corner? Billiards and geometry

Cricket World Cup — the math behind net run rate

Cricket World Cup 2023 — why 48 matches?

Cricket, rain, and the DLS method explained

Cricket and the math of smarter decisions

Who is the GOAT — Messi or Pythagoras?

How to multitask better — scheduling and math

The math behind wanderlust — traveling salesman problem

This triangle works as an antenna — fractals in nature

Will the human population grow forever?

Are humans topologically equal to donuts?

Why fair elections are mathematically impossible

The problem with coastlines — why length cannot be measured

The coastline paradox

Applications of the ellipse — from medicine to billiards

Applications of ellipse — from medicine to pool

This weird shape breaks math

The eternal windmill — geometry of rotation

Why can't you divide by zero?

Divisibility test for 2, 5, and 10

Divisibility test for 3 and 9

Divisibility test for 4 and 8

Divisibility test for 9 — why it works

What does the LCM really mean?

Can three odd numbers add up to 30?

The fastest way to compare fractions

Is ¼ greater than ⅓? A key misconception

Dividing by fractions — a common misconception

Most common mistake with decimals

The percentages video every kid should watch

Why you cannot simply add up percentages

A trick that makes percentages easy

Find percentages quickly

A smart multiplication trick

Struggling with calculations? Try this

Stop letting word problems bother you

Sum of the first N odd numbers — visual proof

Area of a circle

Area of a circle — visualized

Area of a trapezium

Area of a trapezium — explained

Area of a parallelogram — a beautiful proof

Area of rectangles and triangles

Surface area of a prism — just unfold it

Surface area of a cube and cuboid

Smaller area does not mean smaller perimeter

Most kids get this wrong — rectangle symmetry

How to draw a perpendicular

Constructing an angle bisector

Constructing a 60-degree angle

How to construct a perpendicular bisector

Fold a paper into 3 equal parts accurately

Simpler ways to make accurate cuts

Make precise angles without any equipment

A visual way to understand 0.999… = 1

Sum of the first N natural numbers — formula and proof

Sum of interior angles of a polygon

Why do exterior angles of any polygon add up to 360°?

Sum of exterior angles proof — just drive around

Sum of angles in a star

The inscribed angle theorem — angles at a circle's boundary are always equal

Inscribed angle theorem — proof and examples

Why is this angle always 90°? The Thales theorem

How to find the area of a circle using a polygon

The secrets within pi

How to find the center of a circle

The hidden circle in this shape

Algebraic identity a² − b² — visualization and proof

a² − b² — visualization and proof

Algebraic identity (a − b)² — visualization and proof

(a − b)² is not abstract — here is the visual

Algebraic identity (a + b)² — visualization and proof

The actual math of (a + b)²

Is (x + 3)² = x² + 9? A common algebra mistake

Linear equations — a clear explanation

Every quadrilateral hides a parallelogram inside

Average speed — the concept your child should know

Shortest road — geometry has a clever way

Surface area of pyramids and cones

Surface area of 3D shapes — prism, cube, cuboid, cylinder

Surface area of a cone

Stop memorising geometry formulas — understand them instead

Constructing angles — 15°, 30°, 45°, 60°, 75°, 90°

Geometrical constructions — perpendicular bisector, angle bisector

Constructing angles by bisection

Finding a sum of series by shading a triangle

Math proof — sum of a series

Finding an infinite sum with triangles

What is the sum: 1 − ½ + ¼ − ⅛ + …?

What is that sum?

Infinity hides in the tiniest of spaces

A snowflake with infinite boundary but finite area

Turning triangles — rotations and geometry

The square root spiral

That is how you solve a geometry problem

Pythagoras theorem — beyond triangles

The beautiful Pythagorean tree

The Egyptians knew it — Pythagorean theorem in history

The math of tracing a shape without lifting your pen

The right way to solve this diagonal length puzzle

An underrated geometric property you have always used

Will we ever get all 1s? Number patterns explained

Visualizing a shaded area — elegant geometry

Pi Day — everything resides in this magical constant

A cool way to find the area of an octagon

Perfect numbers

Quest for pi — approximating with polygons

The song of pi — world music day

Sum of binomial coefficients — an elegant proof

The Lune of Hippocrates — a crescent that equals a triangle

The Hat — the first ever aperiodic monotile

Voronoi diagrams

The superellipse

Divide and conquer — the algorithm behind binary search

Sacred solids — the five Platonic solids

No middle ground — the intermediate value theorem

The equation of a heart

The hourglass puzzle — can you solve it?

The two hourglass puzzle

No watch? No problem — measure time by burning ropes

Can 5 odd numbers add up to 50?

50 coins — can you make exactly 10 different piles?

A chocolatey puzzle

Can you make the total equal zero?

What is this angle?

Can you find the missing angle?

Can you find this angle?

Can you find that angle?

Can you find the angle?

Easy! What is that angle?

Walkway length puzzle

What is the area of this rectangle?

Can you find the value?

Math puzzle — what is the area of this quarter circle?

Math puzzle — shaded area of a circle

Math puzzle — what is the shaded fraction?

Shaded fraction — is it more than half?

Math puzzle — counting squares

Find the missing wheel radius — a circles puzzle

A math game to play with your kid

Try this trick with your friend

Can you solve this Halloween treat mystery?

Measure without measuring — the staircase puzzle

How Sherlock solved this curious case — logical deduction

Can you divide this weird shape into two equal parts?

Divide this weird shape in two equal parts

Win this game EVERY time using math

Math strategy — can you win this game?

Batman vs Joker — the endless chase game theory

A bishop battle you can always win

Geometry puzzle — can you find the area?

No formulas — what is that area?

A tricky shaded area puzzle

Which area is larger — blue or green?

Which area is greater — red or blue?

Math puzzle — what is the shaded area?

Math puzzle — shaded area challenge

Math puzzle — find the shaded area

Math puzzle — find the shaded area

SAT geometry puzzle — shaded area

Math puzzle — what fraction is shaded?

Math puzzle — area of a small parallelogram

What is the area of this weird shape?

A genius way to find a shaded area

A math puzzle with an elegant visual solution

Four circles packed into a square — what fraction is left?

Math puzzle — square between circles

An elegant puzzle on circles

What is the common area of two intersecting semicircles?

A semicircle inside a quarter circle — what fraction is covered?

Ring area — find it like this

Math puzzle — shaded area of a hexagon

Hexagon area puzzle — an elegant solution

Shaded area — split the hexagon

Geometry magic — what part of this hexagon is shaded?

Math puzzle — two hexagons in a rectangle

Math puzzle — distance between hexagon corners

What fraction of the octagon is shaded?

Area of a regular dodecagon

Shaded area — equilateral triangles in a rectangle

Math puzzle — what is the triangle's area?

A genius method to split any triangle equally

A puzzle involving four semicircles

Visual thinking solves this complex geometry problem

Geometry puzzle with a magical solution

Solving a hard geometry puzzle using symmetry

The color-matching circle puzzle — can you solve it?

Find the lighter bead in just one weighing

One cut — two equal parts. How?

A loop of 11 gears — will they rotate or jam?

The missing angle — geometry puzzle

Geometry puzzle — find the angle

Three squares in a row — find the missing angle

Geometry puzzle — sum of the angles

Math puzzle — find x

Algebra puzzle — find x

SAT geometry problem

Height of an arch — school math puzzle

This math puzzle seems incomplete — but it is not

American Math Contest problem

American Math Contest problem

Spot the famous sequence in this puzzle

Shortest path — just use symmetry

The shortest path — can you find it?

Which path is the shortest?

Shortest path — just open up the pyramid

Shortest path — unroll the cylinder

Shortest path on a sphere — a math challenge

A walk in the park — graph theory puzzle

Cuboid diagonal — no calculations needed

Angle between the diagonals of a cube

This puzzle is impossible if you think in 2D

The magic of 3D — a math puzzle

The hugging square

Hiking math — same spot, same time?

This painter is slow and unsteady — a fraction puzzle

A counterintuitive probability puzzle

The Monty Hall problem — should you switch doors?

That is really counterintuitive

Math puzzle — can you restore the initial arrangement?

Math puzzle — total paths on a grid

Math magic — red or yellow? A combinatorics puzzle

A card trick with hidden math

So many pieces — a combinatorics puzzle

The not-so-simple chessboard puzzle

Math puzzle — which bulbs stay on?

Can you connect the same colors?

In or out — it is a trap!

The impossible Pac-Man puzzle

Can one knight conquer the entire chessboard?

Which player will get there first?

Back to the start — sequence and cycle puzzle

The final destination — sequence puzzle

The hardest easy chess puzzle

Two girlfriends? Graph theory says no way

Bugs on board puzzle

The broken chessboard puzzle

Where does the extra square come from?

Is Halloween the same as Christmas? Octal vs decimal

Is it Christmas or Halloween? — base conversion puzzle

A tricky counting problem | 2024 AMC Grade 8

Beautiful problem on infinite geometric progression | Kangaroo Math 2024

A 10th-grade math puzzle with an elegant solution

High school geometry puzzle