Slide 1

SIMPLE PROBABILITYProbabilities add to 1Multiply the probability by the number of times

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MEAN FROM A TABLEMultiply frequency by the valueDivide this total by total frequency

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ESTIMATE OF THE MEAN2 extra columnsUse mid point of groupsMid point x frequencyBig total divided by little total

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CUMULATIVE FREQUENCYRunning totalPlot end points against cumulative frequencyMeasure median and quartiles

4TREE DIAGRAMS

Each V adds to 1Multiply alon g the branchesFREQUENCY DIAGRAMS

Frequency diagram = bar chartFrequency polygon = join midpoints of bar chartSTANDARD FORM

Its a number between 1 and 10 times by a power of 10.e.g. 450 is 4.5 x 102

Use the exp button on the calculator77

POWERSWhen multiplying times the numbers and add the powersWhen dividing divide the numbers and take away the powersPower of 0 is 1Fraction powers: is square root, 1/3 is cube root88

FRACTIONS OFFraction of divide by the bottom, times by the top.

Eg239 of 100 Total99PERCENTAGES

1% - divide by 10010% - divide by 10 % change is change / original x 100%

CALCULATOR WORK + ESTIMATION Work out the topWork out the bottomTop divided by the bottomEstimate means round the numbers first

RATIORATIO 2:3 MEANS 2+3 = 5 PARTS

FIND THE VALUE OF 1 PARTBEST VALUE

Change into pence by x 100

Work out the cost of each per unit

Show all your working out

State the answer at the end

AREARectangle is length x widthTriangle is height x base / 2Trapezium is (add parallel sides) x height /2Compound shapes split into easier shapes then add together1414

VOLUMEPrisms Area of front x length

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ANGLESParallel lines- look for FUZ:CorrespondingInteriorAlternateBearings measure clockwise from North 1616oDIAMETERoRADIUSRADIUSxoxoyoyo2xoxooxoyoxoyoAngle at centre is twice the angle at the circumference.boxoyoaoa + b = 180 x + y = 180 Angle made by a diameter is 90.Opposite angles in a cyclic quadrilateral add up to 180Angles subtended by an arc or a chord in the same segment are equal.Angle between a tangent and a radius make 90Alternate segment theorem. CIRCLE THEOREM

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PYTHAGORAS TAKE THE 2 NUMBERSSQUARESQUAREADD OR SUBTRACTSQUARE ROOT

TRAVEL GRAPH

Away from homeStopsJourney homeSpeedDistanceTimeENLARGEMENT

Scale factor x3

Count across and up from the centre

Times this by 3 from the centre

Negative enlargement goes the opposite wayVECTORS

Go from A to BOnly use a and b-a+b or b-aTRIG

Right angle triangleLabel sidesPick correct triangleCover up the side you wantIf finding angle use the 2ndF buttonWrite SOHCAHTOA on the formula page of the paperCIRCLES

Area = pi x rad2

Circumference = pi x diameter

Leave in terms of pi means treat pi as a letterCONES AND SPHERES

Everything you need to know is on the formula sheet on the paper

EXPANDING BRACKETSTwo brackets together eyebrows and smiley face are 4 multiplies

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FACTORISING BRACKETSPick the xs to times togetherPick the numbers to times to the questionCheck the smiley face to see if the x term is right

2626STRAIGHT LINES

Form is y=mx+cTo plot the line, take 3 x values and find out the y values that go with themSTRAIGHT LINES

Look at the gradient positive or negGradient is up divided by the across Line is y=mx+c, where m is the gradient and c the interceptINEQUALITIES

3 included, filled circle-2 not included, empty circleInteger means whole numberSolve like an equationFORM AND SOLVE EQUATION

This one is about angles, so add algebra together and put equal to 360.If perimeter, do the same but put = perimeter.Solve by simplifying and solvingPLOTTING GRAPHS

Complete table of valuesPlot points on gridJoin points together to make a graphTRANSFORMING GRAPHS

Inside the brackets changes x coords the opposite way

Outside the brackets, changes y coords the same way

TYPES OF GRAPHS

Quadratic graph y = x2

Cubic graphY = x3

Reciprocal graphY = 1 / x

x2 + y2 = r2