1. Contents Charlie’s Examples, from the presentation Audience Suggestions Colourful blank Venn diagrams

2. Charlie’s Examples

3. Numbers Prime Smaller than 100 Odd

4. Numbers Multiples of 5 3n + 1 Triangle Numbers

5. Polygons Quadrilaterals Even number of sides More than 1 line of symmetry

6. y = ax 2 + bx + c Turning point at (2,5) a < 0 Symmetrical about the y axis

7. Audience Suggestions Number Sequences (i.e. terms that fit the given sequences) More Sequences (Sequences that have the given properties) Straight Line Graphs Quadratics Mean, Median, Mode KS5 Functions Others (Fractions, 3D Shapes, Simultaneous Equations, Coordinate Geometry, Modulus equations, Matrices) Problem Solving

8. Number

9. 2 is a factorMultiple of 3 Multiple of 5

10. Multiple of 9Even Multiple of 7

11. Factor of 24Prime Multiple of 3

12. Multiple of 4Factor of 36 Square

13. Multiple of 3Less than 200 Square

14. PrimeSquare Cube

15. SquareTriangular Fibonacci

16. Sequences The numbers in these are those that would be found in the sequence

17. 2n3n+1 5n-1

18. 2n+23n-1 n+4

19. 5n-33n+1 n2n2

20. 5n-2 n 2 +1

21. More Sequences The objects placed in the Venn diagrams are sequences

22. Quadratic Sequences Special Sequences [n 2 is, n 2 +1 isn’t from the sheet] Linear Sequences

23. Contains 4Linear Sequence Quadratic Sequence

24. Fibonacci Style Sixth term is 2 First term negative

25. ConvergingOscillating Increasing

26. Shapes

27. Has an obtuse angle Has a right angle Has an acute angle Triangles and Quadrilaterals only

28. RegularHas at least one right angle Triangle

29. Rotational Symmetry Reflective Symmetry Regular Polygon

30. Straight Line Graphs

31. Positive gradient Negative y- intercept -1 < gradient < 1

32. Positive Gradient Negative y- intercept Passes through (1,2)

33. y-intercept = 2 Positive Gradient Gradient < 2

34. (2,3) on the line Even y- intercept Positive gradient

35. m=3 Passes through (2,8) c=3

36. Gradient of 3Goes through (3,6) y-intercept at (0,2)

37. Quadratic Equations

38. Integer Solutions Crosses x- axis x=0 is a line of symmetry

39. (x+2) a factor(x-3) a factor (x+5) a factor

40. Handling Data

41. Mode = 5Mean = 5 Median = 5

42. Mean = 6 Range = 7

43. Mode = 1Mean and Median estimated Mean > Median (or estimates thereof) Give (grouped/ungrouped) frequency tables

44. KS5 Functions

45. QuadraticRange y ≤0 Domain x ≥0

46. Odd functionInfinite domain Infinite range

47. f(3)=2f’(1)=0 f(-1)=0

48. Others Fractions 3D shapes Simultaneous equations Coordinate Geometry Modulus equations Matrices

49. Equivalent to 1/3 In simplest form Prime denominator Fractions

50. a,b,d,e not multiples of each other x and y are negative b and e negative Simultaneous Equations ax+by=c dx+ey=f OR: x=-2, y=-3

51. Lies on the line y=x+1 Lies on the circle x 2 +(y-1) 2 =25 Distance 5 from the origin Coordinate Geometry

52. Lies on the line y=x Lies on the parabola y=x 2 -12 Lies on the circle x 2 +y 2 =32 Coordinate Geometry

53. b=0Only one solution Solutions include x=0 Equations of the form |ax+b|=|cx+d| (or ≥,≤,,=) Modulus Equations

54. OrthogonalSingular Diagonal Matrices

55. Problem Solving This Venn diagram admits questions into the regions, with techniques for solving them around the outside. (These were intended as needing both, but a different interpretation would be questions that admit different methods of solution)

56. “Baby” trigonometry (In a right-angled triangle) Sine Rule Pythagoras’ Theorem

57. Colourful Blank Venn Diagrams