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

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

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

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

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

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

7. 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

8. 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

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

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

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

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

13. 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

14. 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

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

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

17. 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

18. PYTHAGORAS
TAKE THE 2 NUMBERS
SQUARE
ADD OR SUBTRACT
SQUARE ROOT

19. TRAVEL GRAPH
Away from home
Journey home
Stops
Distance
Speed
Time

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

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

22. 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

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

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

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

26. 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

27. 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

28. 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

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

30. 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

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

32. TRANSFORMING GRAPHS
Inside the brackets – changes x coords the opposite way
Outside the brackets, changes y coords the same way

33. TYPES OF GRAPHS Quadratic graph y = x2 Cubic graph Y = x3 x2 + y2 = r2
Reciprocal graph
Y = 1 / x