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GCSE Maths key terms A to Z

Plain-English meanings of the words GCSE Maths questions lean on. 45 terms. Where Yumio has a topic page for the idea, the link is beside it.

A · B · C · D · E · F · G · H · I · M · N · P · Q · R · S · T · V

A

Area

The amount of flat space inside a shape, counted in square units.

Topic: Area & perimeter

B

Bound

The smallest and biggest values a rounded number could really have been.

Also written: bounds, error interval

Topic: Bounds

C

Coefficient

The number in front of a letter. It tells you how many of that letter you have.

D

Decimal place

The number of digits after the decimal point.

Also written: decimal places, d.p., dp

Denominator

The bottom number of a fraction. It says how many equal parts the whole is cut into.

Difference

How far apart two numbers are: the bigger one take away the smaller one.

E

Equation

Two sides with an equals sign between them. Solving it means finding the value of the letter that makes both sides equal.

Topic: Solving one-step equations

Equivalent fraction

Fractions that look different but are the same amount. You multiply or divide the top and bottom by the same number.

Also written: equivalent fractions, equivalent

Expand

Multiply out the brackets so that every term inside gets multiplied by what is outside.

Topic: Expanding & factorising

Expression

Numbers and letters joined by signs, with no equals sign. You can simplify an expression but you cannot solve it.

Topic: Writing an expression

F

Factor

A factor of a number is a whole number that divides into it exactly, with nothing left over.

Also written: factors

Topic: Factors & multiples

Factorise

Put brackets back in: take out the biggest factor that every term shares.

Also written: factorize

Fraction

A fraction is part of a whole. The bottom number says how many equal parts, the top number says how many you have.

Topic: Writing, simplifying & ordering fractions

G

Gradient

How steep a line is: how far it goes up for every 1 step across.

Also written: slope

Topic: Gradient of a line

H

Hypotenuse

The longest side of a right-angled triangle. It is always opposite the right angle.

I

Inequality

A comparison that is not equal: one side is bigger or smaller than the other, using <, >, ≤ or ≥.

Integer

A whole number. It can be negative, zero or positive, but never a fraction or decimal.

Intercept

The point where a line crosses an axis. The y-intercept is where it crosses the vertical axis.

Also written: y-intercept

M

Mean

The mean is the usual average: add up all the values, then divide by how many values there are.

Also written: average

Median

The middle value when the numbers are put in order from smallest to biggest.

Mode

The value that appears most often.

Multiple

A multiple of a number is what you get when you multiply it by 1, 2, 3 and so on. It is in that number's times table.

Also written: multiples

Topic: Factors & multiples

N

Nth term

A rule that gives any term in a sequence from its position number, n.

Topic: Sequences (nth term)

Numerator

The top number of a fraction. It says how many parts you have.

P

Percent

Percent means out of 100. 50 percent is half, because 50 is half of 100.

Also written: percentage, per cent

Topic: Fractions, decimals & percentages (FDP)

Perimeter

The distance all the way around the outside of a shape.

Topic: Area & perimeter

Power

The small raised number. It tells you how many times to multiply the number by itself.

Also written: index, indices, exponent

Topic: Powers & roots

Prime

A prime number has exactly two factors: 1 and itself. 1 is not prime.

Also written: prime number

Topic: Prime factors, HCF & LCM

Probability

How likely something is, from 0 (impossible) to 1 (certain). It is the number of ways you want divided by the number of ways it could happen.

Topic: Probability

Product

The answer when you multiply numbers together.

Topic: The product rule for counting

Proportion

Two amounts are in proportion when one grows or shrinks at the same rate as the other, so doubling one doubles the other.

Also written: proportional

Topic: Proportion

Q

Quotient

The answer when you divide one number by another.

R

Range

How spread out the values are: the biggest value take away the smallest value.

Ratio

A way to compare amounts. 2 : 3 means for every 2 of one thing there are 3 of the other.

Topic: Writing & simplifying ratio

Reciprocal

The number you multiply by to get 1. You find it by flipping the fraction upside down.

Topic: Cubic and reciprocal graphs

S

Sequence

A list of numbers that follow a rule, in order.

Topic: Sequences: rules and special sequences

Significant figure

Counting digits from the first one that is not zero.

Also written: significant figures, s.f., sf

Simplify

Make it as small and tidy as you can without changing its value. For a fraction, divide the top and bottom by the biggest number that goes into both.

Also written: simplest form, lowest terms

Topic: Writing, simplifying & ordering fractions

Square

To square a number, multiply it by itself.

Also written: squared

Topic: Completing the square

Square root

The number that multiplies by itself to give the number you started with.

Also written: root

Standard form

A way to write very big or very small numbers as a number between 1 and 10 times a power of 10.

Topic: Standard form

Sum

The answer when you add numbers together.

T

Term

One part of an expression. Terms are separated by plus and minus signs, and each term keeps the sign in front of it.

Also written: terms

Topic: Sequences (nth term)

V

Variable

A letter that stands for a number we do not know yet, or a number that can change.

Also written: unknown

Volume

The amount of space inside a solid shape, counted in cubic units.

Topic: Volume of a prism

Learn the words that tell you what to do in a question: GCSE Maths command words. Learn the formulae: formula sheet.

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