Welcome to the 10ticks Maths Dictionary.

Looking for a specific maths definition? You can use the 10ticks Online Maths Dictionary to find it. The dictionary contains maths words, maths definitions, maths formulae, pictures, diagrams, tables, and examples to help you understand maths.

The dictionary has been created by maths teachers with over 100 years of combined experience, offering the most comprehensive maths definitions. This dictionary is designed for children and parents who need an easy-to-use, easy-to-understand maths resource all in one place.

Browse the definitions using the letters below

^{-2}). The average acceleration (a) of an object travelling in a straight line over a period of time (t) may be calculated by the following formula:

A negative answer shows the object is slowing down (decelerating).

^{o}and 90

^{o}.

^{o}.

a and b are adjacent angles.

(x + y)

^{2}= x

^{2}+ 2xy + y

^{2}

is true for all values of x and y. If for instance x = 2 and y = 5,

(2 + 5)

^{2}= 2

^{2}+ 2(2x5) + 5

^{2}= 49.

Fraction in which letters are used to stand in for numbers. It is possible to factorize or simplify these fractions.

ab = gh.

The alternate angles formed by a transversal across a pair of parallel lines are equal.

a

^{o}= b

^{o}.

P(Event 1 AND Event 2) = P(Event 1) x P(Event 2).

Two coins are thrown, what is the probability they both land on Heads?

P(Coin 1 = H AND Coin 2 = H) = P(Coin 1 = H) x P(Coin 2 = H)

P(Coin 1 = H AND Coin 2 = H) = x =

^{o}are called acute angles, angles that are exactly 90

^{o}are called right angles, angles greater than 90

^{o}but less than 180

^{o}are called obtuse angles, and angles greater than 180

^{o}but less than 360

^{o}are called reflex angles. A protractor can be used to measure angles.<

If the angle subtended at the centre is x, then

Remember the circumference of the circle is 2πr.

.

E.g. The mean of 3, 4 and 5 would be (3 + 4 + 5)/3

12/3 = 4

Here the curve approaches both axes but never touch them. The two axes are the asymptotes.

Also refers to the imaginary line about which an object may be said to be symmetrical (axis of symmetry), or the line about which an object may revolve (axis of rotation).

^{y}, x is called the base and y is the exponent.

^{o}, 265

^{o}, 004

^{o}

.

Here the bearing of A from B is 65

^{o}.

The Bearing of B from A is 245

^{o}. The bearing B to A is the back bearing of A to B.

01 = 1

10 = 2

11 = 3

100 = 4

101 = 5

110 = 6

111 = 7

1000 = 8 etc.

3 x (4 + 2)

= 3 x 6

= 18

Brackets - ( )

Square Brackets - [ ]

Braces - { }

For example = .

Here the coordinate is (2, 3).

<

^{2}.

^{2}(a-x)=x

^{3}.

In 4x

^{3}- 6x

^{2}+ 5x, the coefficient of x

^{3}is 4 and the coefficient of x

^{2}is -6.

The number of ways of selecting r objects from a group of n is given by

where ! is the factorial of a number.

If the probability of winning one raffle is r

_{1}and the probability of winning a different raffle is r

_{2}, then the combined probability of winning both raffles is given by r

_{1}x r

_{2}(AND Rule); the combined probability of winning one raffle or the other, but not both, is given by r

_{1}+ r

_{2}(OR Rule).

^{1}/

_{2}and

^{1}/

_{3}would be 6. hence both these fractions could be changed to sixths.

a + b = b + a

ab = ba

^{o}.

^{2}= B, where A and B are constants.

For example solve x

^{2}+ 6x + 5 = 0

. Change to a perfect square by adding the square of half the coefficient of x (that is 3

^{2}= 9) to each half of the equation.

x

^{2}+ 6x = -5

x

^{2}+ 6x + 9 = -5 + 9

(x + 3)

^{2}= 4

x +3 = +/-2

x = -1 or û 5

These equations might also be solved by factorization.

A cone that has its axis at right angles to the base is called a right cone.

A right circular cone of perpendicular height h and base of radius r has a volume, V = π r

^{2}h

The distance from the edge of the base to the vertex is called the slant height. The curved surface area of a right cone is πr

*l*, where

*l*is the slant height.

^{o}.

Also used in geometry, to describe any polygon possessing no interior angle greater than 180

^{o}.

.

The coordinate here is 2 across and three up or (2, 3).

.

Lines are represented as equations, and the graphs of varying equations can be drawn by plotting the coordinates of points that satisfy their equations, and joining up the points.

^{3}= 3 x 3 x 3 = 27.

^{3}

^{3}, y = x

^{3}- 2x

^{2}.

The volume V of a cylinder is give by

V = πr

^{2}h

The total surface area, A, of a cylinder is given by

A = 2πr(h + r).

2πrh is the curved surface area and 2πr

^{2}is the area of both the end circles.

0c - Freezing point

100c - Boiling Point

37v - Human Body Temperature.

9, 8, 7, 6, 5, 4, 3, 2.

These numbers are said to be converging to zero.

^{7}/

_{10}is normally expressed as 0.7 and

^{37}/

_{100}would be shown as 0.37. Not all fractions can be expressed exactly as a decimal fraction.

^{o}). Temperature is also measured in degrees which are divided on a decimal scale.

^{2}/

_{3}Here the 3 is the denominator.

^{m}/

_{V}.

^{+}2,

^{-}8.

a x (b + c) = (a x b) + (a x c).

A Bakers Dozen is a group of 13 items.

For example, double six is 6 x 2 = 12

w, x y and z are all exterior angles.

The number that another number is raised to, e.g. 2

^{3}means two raised to the power three - i.e. two multiplied by itself three times.

The answer to this is obtained as follows:

2 x 2 x 2 = 8

2 + 3 = 5 is the same as:

2 + 3 is the same value as 5.

(x + 1)(x û 3) = x

^{2}- 2x û 3. Therefore factors of x

^{2}- 2x û 3 are x + 1 and x û 3.

E.g. 5! = 5 x 4 x 3 x 2 x 1

To change between Farenheit and Celcius we can use

F =

^{9}/

_{5}C + 32

E.g.

^{th}root of the product of n positive numbers. The geometric mean is always less than the arithmetic mean.

1000 g = 1 Kg

1 gram can be split into 1000 milligrams

1000 mg = 1 g

^{2}.

^{o}.

E.g.

^{3}, 3 is the index number.

27 + 76.

The simple arithmetic mean is the average value of the quantities, i.e. the sum of the quantities divided by their number.

The weighted mean takes into account the frequency of the terms that are summed, i.e. it is calculated by multiplying each term by the number of times it occurs, summing the results and dividing this total by the total number of occurrences.

The geometric mean of n quantities is the n

^{th}root of their product. In statistics, it is a measure of central teneancy of a set of data.

^{1}/

_{299 792 458}of a second.

^{-6}.

^{6}.

^{1}/

_{2}.

1) Length

2) Breadth

3) Height

4) Area

5) Mass

6) Weight

7) Volume

8) Capacity

8) Temperature

9) Time

1000ml = 1l

10mm = 1cm

1000mm = 1m

There are 12 months in a year

A measurement of fuel consumption.

This measurement vares depending on vehicle, engine, driving habits and road condition

Measurement of speed - measure the number of miles travelled per hour.

1 = I

2 = II

3 = III etc.

^{o}about its minor axis.

^{o}.

^{o}but less than 180

^{o}.

If a blue die and a red die are thrown together, the probability of a blue 6 is

^{1}/

_{6}and the probability of a red 6 is

^{1}/

_{6}. Therefore the probability of throwing a blue six OR a red six is

^{1}/

_{6}+

^{1}/

_{6}=

^{2}/

_{6}=

^{1}/

_{3}

- Four right angles,

- Two pairs of equal parallel lines, each pair being a different length

^{45}/

_{100}, and

45% of 20 =

^{45}/

_{100}x 20 = 9.

^{3}where m is an integer.

^{2}where m is an integer.

If the distance from the origin to Q is 6 units, then the polar coordinate of Q would be described as (6, 30

^{o}).

^{2}+ b

^{2}= c

^{2}.

^{2}+ bx + c = 0 in which a,b and c are real numbers, and only the coefficient a cannot equal 0. In coordinate geometry, a quadratic function represents a parabola, and the quadratic equation may be solved to find the points where the parabola intercepts the x-axis.

^{15}. This is equal to 10*10*10*10*10*10*10*10*10*10*10*10*10*10*10, or 1 000 000 000 000 000.

^{o}.

^{o}but less than 360

^{o}.

nodes + regions = arcs + 2.

^{o}.

^{s}/

_{t}, where v is the constant speed and s is the distance it has travelled, and t is the time taken to do so.

For a sphere of radius r, the volume, V

V =

^{4}/

_{3}π

^{3}

For a sphere of radius r, the Surfacr Area, A

A = 4π

^{2}.

^{2}.

^{4}/

_{3}π

^{3}. Often formulae have to be arranged so that a different variable becomes the subject.

^{o}.

A cuboid has 3 planes of symmetry

^{3}

^{o}. Triangles can be classified by the relative lengths of their sides. A scalene triangle has no sides of equal length; an isosceles triangle has at least two equal sides; an equilateral triangle has three equal sides and angles. A right-angled triangle has one angle of 90

^{o}.

.<

^{4}/

_{3}π

^{3}where r is the radius.

^{a}/

_{b}. Also called common fractions or simple fractions.

^{2}y=4a

^{2}(2a-y).