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Maths glossary

Clear, plain-English definitions of the maths and teaching terms that come up most, each with examples and free worksheets to practise.

Acute angle

An acute angle is smaller than a right angle, less than 90 degrees.

Addition

Addition is combining two or more amounts to find how many there are altogether.

Adjective

An adjective is a word that describes a noun.

Adverb

An adverb is a word that tells you more about a verb, often how, when or where.

Alliteration

Alliteration is when nearby words begin with the same sound.

Angle

An angle is the amount of turn between two lines that meet at a point.

Antonym

An antonym is a word that means the opposite of another word.

Area

Area is the amount of flat space a 2D shape covers, measured in square units.

Array

An array arranges objects in equal rows and columns to show multiplication.

Associative property

The associative property means the way numbers are grouped does not change the answer for addition and multiplication.

Bar graph

A bar graph shows and compares amounts using bars of different lengths.

Capacity

Capacity is how much a container can hold, usually measured in litres and millilitres.

Circumference

The circumference is the distance all the way around a circle.

Commutative property

The commutative property means the order of the numbers does not change the answer for addition and multiplication.

Composite number

A composite number has more than two factors.

Congruent

Two shapes are congruent if they are exactly the same size and shape.

Conjunction

A conjunction is a joining word that links words or sentences, like and, but or because.

Consonant blend

A consonant blend is two or three consonants read together, with each sound still heard.

Coordinates

Coordinates are a pair of numbers that give the exact position of a point on a grid.

Decimal

A decimal uses a point to show parts of a whole smaller than one.

Difference

The difference is the answer you get when you subtract one number from another.

Digit

A digit is a single number symbol from 0 to 9.

Digraph

A digraph is two letters that together make one sound.

Distributive property

The distributive property lets you multiply a sum by multiplying each part and adding the results.

Division

Division shares an amount into equal groups, or finds how many equal groups fit.

Equation

An equation is a number sentence that says two things are equal, using an equals sign.

Equivalent fractions

Equivalent fractions look different but show the same amount.

Estimate

An estimate is a close, sensible guess rather than an exact answer.

Even and odd numbers

Even numbers can be split into two equal groups; odd numbers cannot.

Expanded form

Expanded form writes a number as the sum of the value of each digit.

Exponent (power)

An exponent shows how many times a number is multiplied by itself.

Faces, edges and vertices

Faces, edges and vertices are the flat surfaces, lines and corners of a 3D shape.

Fact family

A fact family is a group of related addition and subtraction (or multiplication and division) facts using the same numbers.

Factor

A factor is a whole number that divides exactly into another number.

Food chain

A food chain shows how living things get their energy by eating one another.

Fraction

A fraction shows equal parts of a whole, written as a numerator over a denominator.

Grapheme

A grapheme is the letter or letters that spell a single sound.

Greatest common factor

The greatest common factor is the largest number that divides exactly into two or more numbers.

Habitat

A habitat is the natural home of a plant or animal.

Homophone

Homophones are words that sound the same but have different meanings or spellings.

Improper fraction

An improper fraction has a numerator equal to or bigger than its denominator.

Inequality

An inequality compares two amounts that are not equal, using signs like < and >.

Inference

An inference is a smart guess based on clues and what you already know.

Integer

An integer is a whole number, which can be positive, negative or zero.

Life cycle

A life cycle is the series of stages a living thing passes through as it grows.

Lowest common multiple

The lowest common multiple is the smallest number that two or more numbers all divide into.

Main idea

The main idea is what a text is mostly about.

Mass

Mass is how much matter an object contains, measured in grams and kilograms.

Mean (average)

The mean is the total of a set of numbers shared equally between them.

Median

The median is the middle value when the numbers are put in order.

Metaphor

A metaphor describes something by saying it is something else.

Mixed number

A mixed number is a whole number and a fraction written together.

Mode

The mode is the value that appears most often in a set of data.

Multiple

A multiple of a number is what you get when you multiply it by a whole number.

Multiplication

Multiplication is repeated addition of equal groups.

Negative number

A negative number is a number less than zero, written with a minus sign in front.

Net

A net is a flat pattern that folds up to make a 3D shape.

Noun

A noun is a word that names a person, place, thing or idea.

Number bond

A number bond shows how a number splits into two parts that add back to the whole.

Number line

A number line is a straight line with numbers marked in order at equal spaces.

Numerator and denominator

The numerator is the top number of a fraction; the denominator is the bottom number.

Obtuse angle

An obtuse angle is bigger than a right angle but less than a straight line.

Order of operations

The order of operations is the agreed sequence for working out a calculation with more than one step.

Parallel lines

Parallel lines are always the same distance apart and never meet.

Percentage

A percentage is a number out of 100, shown with the % sign.

Perimeter

Perimeter is the total distance around the outside of a shape.

Perpendicular lines

Perpendicular lines cross or meet to make a right angle.

Phoneme

A phoneme is the smallest single sound in a word.

Place value

Place value is the idea that a digit's position decides what it is worth.

Polygon

A polygon is a flat, closed shape made of straight sides.

Prefix

A prefix is a group of letters added to the start of a word to change its meaning.

Preposition

A preposition shows where or when something is, like in, on, under or before.

Prime number

A prime number has exactly two factors: 1 and itself.

Prism

A prism is a 3D shape with two identical ends joined by flat sides.

Probability

Probability is how likely something is to happen, from impossible to certain.

Product

A product is the answer when you multiply two or more numbers.

Pronoun

A pronoun is a word used in place of a noun, like he, she, it or they.

Proper fraction

A proper fraction has a numerator smaller than its denominator, so it is less than one whole.

Quadrilateral

A quadrilateral is a polygon with four straight sides.

Quotient

A quotient is the answer to a division.

Radius and diameter

The radius is the distance from a circle's centre to its edge; the diameter goes all the way across through the centre.

Range

The range is the difference between the largest and smallest values.

Ratio

A ratio compares two amounts, showing how much of one there is for each amount of the other.

Reflection

A reflection is a mirror image of a shape flipped over a line.

Regrouping

Regrouping is the carrying and borrowing used in column addition and subtraction.

Remainder

The remainder is the amount left over after dividing.

Right angle

A right angle is a quarter turn, measuring exactly 90 degrees.

Roman numerals

Roman numerals write numbers using the letters I, V, X, L, C, D and M.

Rotation

A rotation turns a shape around a fixed point.

Rounding

Rounding replaces a number with a nearby, simpler one.

Similar shapes

Similar shapes are the same shape but different sizes.

Simile

A simile describes something by comparing it to something else using 'like' or 'as'.

Simplifying fractions

Simplifying a fraction means rewriting it with the smallest possible numbers.

Skip counting

Skip counting is counting forwards or backwards in equal jumps instead of by ones.

Square number

A square number is a number multiplied by itself.

Square root

A square root of a number is the value that multiplies by itself to make that number.

States of matter

The three states of matter are solid, liquid and gas.

Subtraction

Subtraction is taking one amount away from another, or finding the difference between them.

Suffix

A suffix is a group of letters added to the end of a word to change its meaning or use.

Sum

The sum is the answer you get when you add numbers together.

Syllable

A syllable is a single beat or chunk of sound in a word.

Symmetry

A shape has symmetry if one half is a mirror image of the other.

Synonym

A synonym is a word that means the same, or nearly the same, as another word.

Tally chart

A tally chart records counts using groups of five tally marks.

Translation

A translation slides a shape to a new position without turning or flipping it.

Triangle

A triangle is a polygon with three straight sides and three corners.

Unit fraction

A unit fraction is a fraction with a numerator of 1.

Variable

A variable is a letter or symbol that stands for an unknown or changing number.

Verb

A verb is a word that shows an action or a state of being.

Vertex

A vertex is a corner where two or more edges of a shape meet.

Volume

Volume is the amount of space a 3D object takes up, measured in cubic units.