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

10. 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

11. Two brackets together – eyebrows and smiley face are 4 multiplies
EXPANDING BRACKETS
Two brackets together – eyebrows and smiley face are 4 multiplies 11

12. 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 12

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

14. 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

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

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

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

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

19. 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 19

20. 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