SIMPLE PROBABILITY Probabilities add to 1 Multiply the probability by the number of times

MEAN FROM A TABLE Multiply frequency by the value Divide this total by total frequency

ESTIMATE OF THE MEAN 2 extra columns Use mid point of groups Mid point x frequency Big total divided by little total

CUMULATIVE FREQUENCY Running total Plot end points against cumulative frequency Measure median and quartiles

TREE DIAGRAMS Each V adds to 1 Multiply alon g the branches

FREQUENCY DIAGRAMS Frequency polygon = join midpoints of bar chart Frequency diagram = bar chart

STANDARD FORM It’s 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 calculator 7

When multiplying times the numbers and add the powers When dividing divide the numbers and take away the powers Power of 0 is 1 Fraction powers: ½ is square root, 1/3 is cube root 8

Fraction of – divide by the bottom, times by the top. FRACTIONS OF Eg 239 of 100 Total Fraction of – divide by the bottom, times by the top. 9

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

CALCULATOR WORK + ESTIMATION Work out the top Work out the bottom Top divided by the bottom Estimate means round the numbers first

RATIO RATIO 2:3 MEANS 2+3 = 5 PARTS FIND THE VALUE OF 1 PART

BEST 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

Rectangle is length x width Triangle is height x base / 2 AREA Rectangle is length x width Triangle is height x base / 2 Trapezium is (add parallel sides) x height /2 Compound shapes – split into easier shapes then add together 14

Prisms – Area of front x length VOLUME Prisms – Area of front x length 15

Parallel lines- look for FUZ: Corresponding Interior Alternate ANGLES Parallel lines- look for FUZ: Corresponding Interior Alternate Bearings measure clockwise from North 16

CIRCLE THEOREM o o o xo xo ao 2xo bo yo yo xo xo yo DIAMETER RADIUS 17 a + b = 180° x + y = 180° Angle at centre is twice the angle at the circumference. Angle made by a diameter is 90°. Opposite angles in a cyclic quadrilateral add up to 180° xo yo o RADIUS xo yo Angles subtended by an arc or a chord in the same segment are equal. Alternate segment theorem. Angle between a tangent and a radius make 90° 17

PYTHAGORAS TAKE THE 2 NUMBERS SQUARE ADD OR SUBTRACT SQUARE ROOT

TRAVEL GRAPH Away from home Journey home Stops Distance Speed Time

ENLARGEMENT Scale factor x3 Count across and up from the centre Times this by 3 from the centre Negative enlargement goes the opposite way

VECTORS Go from A to B Only use a and b -a+b or b-a

TRIG Right angle triangle Label sides Opp Adj Tan Opp Hyp Sin Adj Hyp Cos Right angle triangle Label sides Pick correct triangle Cover up the side you want If finding angle use the 2ndF button Write SOHCAHTOA on the formula page of the paper

CIRCLES Area = pi x rad2 Circumference = pi x diameter Leave in terms of pi means treat pi as a letter

CONES AND SPHERES Everything you need to know is on the formula sheet on the paper

Two brackets together – eyebrows and smiley face are 4 multiplies EXPANDING BRACKETS Two brackets together – eyebrows and smiley face are 4 multiplies 25

Pick the x’s to times together FACTORISING BRACKETS Pick the x’s to times together Pick the numbers to times to the question Check the smiley face to see if the x term is right 26

STRAIGHT LINES Form is y=mx+c To plot the line, take 3 x values and find out the y values that go with them

Gradient is up divided by the across STRAIGHT LINES Look at the gradient – positive or neg Gradient is up divided by the across Line is y=mx+c, where m is the gradient and c the intercept

INEQUALITIES 3 included, filled circle -2 not included, empty circle Integer means whole number Solve like an equation

FORM 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 solving

PLOTTING GRAPHS Complete table of values Plot points on grid Join points together to make a graph

TRANSFORMING 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 graph Y = x3 x2 + y2 = r2 Reciprocal graph Y = 1 / x