1. Trial and Improvement

2. Venn Diagrams

3. Reflect a shape

4. Rotate a shape

5. Translate a shape
Across
Up or Down

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

7. POLYGON ANGLES
Interior angle is
180 – exterior angle

8. CIRCLE THEOREM o o o xo xo ao 2xo bo yo yo xo xo yo DIAMETER RADIUS 8
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° 8

9. Two brackets together – eyebrows and smiley face are 4 multiplies
EXPANDING BRACKETS
Two brackets together – eyebrows and smiley face are 4 multiplies 9

10. 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 10

11. 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

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

13. PROPORTION Bring in k Y = k x2 Work out k If inverse proportion, Y = k

14. Nth Term
Find the nth term of the following sequences and then calculate the 100th term. a)
3, 7, 11, 15, …
Nth term so far = 4n +4
Start number is -1
Nth term is 4n - 1
Worksheet needs printing
100th term = 4x100 -1
100th term = 399 14

15. Draw line 2x -3y = 6 by making a table
Pick a point not on the line
Take the x and y numbers and put into the inequality. See if the inequality is true or false for that side

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

17. PRIME FACTOR TREES
PRIME NUMBERS
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, …
EXAMPLES
Find the product of prime factors for the following numbers:
(a) 32
(b) 60 8 4 10 6 4 2 2 2 5 2 3 2 2 2
ANSWER = 2 X 2 X 3 X 5
ANSWER = 2 X 2 X 2 X 2 X 2 = =
X 3 X 5 17

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

19. Area of Isosceles Triangle
Use Pythagoras to find the height
Then use base x height / 2 for the area

20. 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