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Mathematics articles — Page 25

Explore the ideas and history behind numbers, shapes, patterns and mathematical thinking. Choose an article below; its reading controls let you move between the available levels.

1,419 public articles · Page 25 of 30

For printable practice and answer guides, visit Maths worksheets.

Quadratic form

Math can help us find shapes. We use numbers to see patterns. We can use them to find distances. This helps us learn about the world. It is very fun to learn. Do you like to find patterns?

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Quadratic formula

Some shapes look like a big curve. This curve can cross a line. We can use math to find where it hits. This math helps us find the spots. It is like a map for shapes. Can you find a curve like this?

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Quadratic function

Some shapes look like a big curve. This curve is like a bowl. It can turn up or down. It has one special turning point. We can use math to find it. Do you see curves in your world?

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Quadratic reciprocity

Numbers can have secret patterns. Some numbers fit together in a special way. A man named Gauss found these patterns. They help us solve math puzzles. It is like finding a hidden map. Can you find a pattern today?

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Quadratic residue

Math can find special numbers. Some numbers come from multiplying a number by itself. We call these special numbers residues. They help us hide secret codes. This math is very cool. Can you find a square shape?

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Quantifier elimination

Math can help us find answers. We can ask a hard question. Then we can find a way to make it easy. This helps us see things clearly. It is like solving a puzzle. Can you find an easy way to solve a puzzle?

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Quantifier (logic)

We use words to talk about groups. We can say "all" to mean every one. We can say "some" to mean a few. These words help us count things. They help us share. Do you like to say "all" or "some"?

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Quaternion

Math helps us see shapes. It can show how things turn. This helps computers make pictures. It helps robots move too. Math is all around us. Can you find a shape?

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Quotient rule

Math helps us see how things change. We can look at two groups. We can see how they work with each other. This helps us solve hard puzzles. It is a neat way to think. Can you find math in your day?

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Radar chart

A star chart shows many things at once. It uses lines to make a shape. This shape looks like a star or a web. It helps us see what is strong or weak. You can use it to see sports stats. Do you see the star shape?

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Radhanath Sikdar

Radhanath Sikdar was great at math. He used numbers to study the earth. He found the height of Mount Everest. This is the tallest mountain. He was a very smart man. Do you like math too?

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Radius of convergence

Some math rules work in a circle. This circle has a size. Inside the circle, the math works well. Outside the circle, it stops working. It is like a safe zone for numbers. Do you like patterns?

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Ramsey's theorem

Patterns hide in messy things. If you have many dots and lines, you will find a shape. You can use two colors. You will still find a shape of one color. It is like finding friends at a party. Do you see the patterns?

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Ramsey theory

Things always find a way to match. At a party with six people, some will know each other. Others might be strangers. Patterns hide in big groups. It helps us see how things fit. Can you find a pattern today?

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Randomness

Sometimes things happen by chance. We cannot guess what will happen next. It is like rolling dice. You do not know the number. This helps us learn about the world. Can you find something random today?

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Random walk

Imagine you take a step. Then you take another step. You do not know where you will go next. You might go left or right. This is like a path that wanders. It can happen in many ways. Can you guess where you will end up?

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Range of a function

Math helps us see how things change. We can start with one group. Then we see what comes out. It shows us what we get. It helps us know the answer. Can you find the answer? What do you see?

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Rank (linear algebra)

Math can use groups of numbers. These groups tell us a lot. They show how much is there. It helps us see patterns. This is a special way to count. Can you find patterns in your toys?

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Rank–nullity theorem

Math helps us count things. We can group things together. We can also find what is left. These parts add up to a whole. It helps us see how things work. Can you find patterns in your toys?

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Rational function

You can split things into parts. It is like sharing one cake. You use numbers to show the parts. This helps us count and measure. It is a fun way to look at math. Do you like to share snacks?

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Real-valued function

We can use numbers to name things. A scale gives a number for weight. One thing gets one number. This helps us know how much it is. It makes sense of the world. Can you find numbers in your room?

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Recreational mathematics

You can play with math. It is not just for school. You can do fun puzzles. You can play math games too. It is like a fun game. Do you like to solve puzzles?

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Rectangle

A rectangle has four sides. It has four square corners. The sides can be long or short. You see them on doors. You see them on books. They are everywhere! Can you find one?

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Rectangular function

Imagine a shape like a box. It is flat on top. It has straight sides. This shape helps us study waves. It is very useful. Can you draw a box?

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Recurrence relation

You can find patterns in numbers. One number helps you find the next. You use the old numbers to get new ones. This is a fun way to count. It helps us see how things grow. Can you find a pattern?

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Recursion

Some things repeat in a loop. It is like a tiny doll inside a big doll. The pattern can go on and on. This helps us solve puzzles. It can be very fun to see. Can you find a pattern today?

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Reductio ad absurdum

You can find out if something is true. Try to think the opposite is true. If that leads to a silly idea, you are right! It helps us solve big puzzles. Do you like solving puzzles?

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Reed–Solomon error correction

Sometimes, information gets messy. It can have mistakes. We use special rules to fix them. This helps us read CDs and QR codes. It even helps us talk to space ships! Can you find a QR code?

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Reference

A name can point to a thing. You say a name to find it. The name links to the real thing. This helps us talk about people or toys. It helps us share ideas. It is like a map. Can you name your favorite toy?

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Reflection (mathematics)

A reflection is like a mirror. It flips a shape. It makes a new picture. It looks just like the first one. It can be a flip. Can you find a mirror?

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Reflexive relation

Some things match with themselves. Think about the number one. One is the same as one. This is a special rule. It helps us see how things work. It is like looking in a mirror. Can you find things that match themselves?

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Regula falsi

You can find a secret number by guessing. If your guess is wrong, you can fix it. You use your first guess to find the right answer. This helps you solve hard puzzles. It is a smart way to learn. Can you try to guess…

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Regular dodecahedron

This shape has twelve sides. Each side is a five-sided shape. It looks like a ball made of flat parts. Long ago, some thought it was the shape of the sky. It can even be a toy! Can you find a shape like this?

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Regular graph

Some dots and lines match up. Each dot has the same number of friends. Every dot has the same amount of lines. This makes a fair shape. It looks very neat to us. Can you see a pattern? Do you like shapes that match?

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Regular icosahedron

This shape has many sides. It has twenty flat sides. All the sides are triangles. You can find this shape on a game die. It is very cool! Can you find a triangle?

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Regular polygon

Some shapes are very even. All their sides are the same length. All their corners look the same, too. You can find them in many places. They look very neat. Do you see any even shapes?

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Regular polyhedron

Some shapes are very special. They look the same on every side. They have even edges and corners. You can find these shapes in nature. They can even be in tiny germs! Can you find a shape like this?

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Related rates

Things change all the time. One thing moves, so another thing moves too. When a ladder slides, the top moves down. Knowing one speed helps you find the other. This helps us learn how the world works. Can you see…

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Repeated game

You can play a game many times. You might play with a friend. Playing many times changes how you act. You want to keep a good name. This helps you work together. Do you like to play games often?

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Repeating decimal

Some numbers have a pattern. The same numbers go on and on. They repeat forever. It is like a song that never ends. This helps us write them down. Can you find a pattern?

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Residue (complex analysis)

Math helps us find hidden numbers. We can look at a shape or a path. Sometimes a special number stays in one spot. This number helps us solve hard puzzles. It makes math easier to do. Can you find patterns in math?

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Residue theorem

Math helps us find answers. It can find sums of many numbers. We use paths to find them. This helps us solve hard puzzles. It is a neat way to work. Can you find a pattern?

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Resultant

Math can find hidden links. It looks at two math rules. It checks if they share a secret answer. This helps computers solve big puzzles. It is a very smart tool. Do you like solving puzzles?

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Reuleaux triangle

This shape looks like a triangle. But its sides are curved. It is not a circle. It stays the same width all around. This helps it turn in a square. Can you find this shape? It can be a guitar pick!

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Rhind Mathematical Papyrus

Long ago, people used math. They wrote it on paper. A man named Ahmes wrote it down. It helps us count food. It helps us build shapes. Math is very cool! Can you count your toys?

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Rhombus

A rhombus is a shape. It has four sides. All sides are the same length. Some people call it a diamond. You can see it on playing cards. It is a fun shape to find. Can you see a diamond shape?

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Ricci calculus

Math helps us use numbers. It can describe how things move. We can use rules to group things. This helps us see patterns. It makes hard work easy. Do you like to count things?

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Richard E. Bellman

Richard Bellman loved math. He used math to solve big puzzles. He found ways to make good choices. His ideas help us today. He was a very smart man. Do you like to solve puzzles?

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