STEM AND LEAF DIAGRAMS Don’t forget to order Include a key

SCATTER DIAGRAMS Plot the points Line of best fit Positive and negative correlation

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

QUESTIONNAIRES Look for a time limit in the question Overlap between the choices Any missing choices?

BOX PLOTS Plot 5 measures to draw it. Lowest value, lower quartile, median, upper quartile, highest value To compare, 1 comment on the median, 1 comment on the interquartile range (the width of the box)

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

HISTOGRAMS Frequency density is freq divided by class width The area of a bar is the frequency

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

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

2 WAY TABLES BiolChemPhysicsTotal Boys Girls Total100

STANDARD FORM It’s a number between 1 and 10 times by a power of 10. e.g. 450 is 4.5 x 10 2 Use the exp button on the calculator

POWERS 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

LCM and HCF LCM is a multiple, so is bigger than the start numbers HCF is a factor, so is smaller than the start numbers

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

PERCENTAGES 1% - divide by % - 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

FRACTIONS TLTR BLBR Top of 1 st fraction Bottom of 1 st fraction Top of 2 nd Bottom of 2 nd + TR+BL BR -TR – BL BR X TL BR ÷ TR BL Works for algebra fractions too

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

VOLUME Prisms – Area of front x length

COORDINATES For 3d coordinates follow the axes as x,y,z To find midpoints add the x’s then halve. Do the same for the y’s and z’s.

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

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

SIMILAR SHAPES Length scale factor = x Area scale factor = x 2 Volume scale factor = x 3 Congruent means exactly the same

PYTHAGORAS TAKE THE 2 NUMBERS SQUARE ADD OR SUBTRACT SQUARE ROOT

TRAVEL GRAPH Away from home Stops Journey home Speed Distance Time

POLYGON ANGLES Interior angle is 180 – exterior angle

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 OppHypSinAdjHypCosOppAdjTan 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 rad 2 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

SIMULTANEOUS EQUATIONS Criss cross the numbers in front of x Times the equation by that number Change the sign of all the bottom equation Work out y Use y to work out x

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

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

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

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

PROPORTION Bring in k Y = k x 2 Work out k If inverse proportion, Y = k x 2

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 = x 2 Cubic graph Y = x 3 Reciprocal graph Y = 1 / x x 2 + y 2 = r 2