1. Would you rather…
Be given a million pounds on September 1st or be given a penny on September 1st, but everyday through September your balance doubles? Show working out to explain your answer.

2. £0.01 £ £2,684, £0.02 £ £5,368, £0.04 £ £0.08 £1, £0.16 £2, £0.32 £5, £0.64 £10, £1.28 £20, £2.56 £41, £5.12 £83, £10.24 £167, £20.48 £335, £40.96 £671, £81.92 £1,342,177.28

3. What did we do last week?

4. MISLEADING GRAPHS
What makes a graph misleading? What impact can this have on the reader?

5. TRUE OR FALSE: Sales are rising rapidly!
4300
4310
4320
4330
4340
4350
4360
4370
2000
2001
2002
2003
2004
2005
Year
Sales
The graph is misleading because it suggests that sales have increased significantly over a five year period. In reality they have only increased by 70 units, which is not much given that they are selling thousands.

6. Which is misleading? Why?

7. Which is the better graph – why? Where is the spelling mistake?

8. Scale made very small to make graph look very big

9. Scale made very small to make graph look very big

10. The scale is so compressed that it’s hard to see any difference among the brands.

11. Although the vertical scale starts at 0, it does not go up in even steps. This distorts the graph, and makes it look as though the biggest jump is between 1 and 2, rather than 3 and 4.
Also, there are no labels on the axes, so we have no idea what this graph represents!

12. The graph suggests that the stock will continue to increase through 2020, but there’s no way to foresee the future.

14. On this pictogram, there is no category for people who do not own a pet. The pictures are different sizes, and it appears that more people own a horse than any other animal.
An improvement would be to redraw the pictogram, with each of the animals the same size and aligned with one another.

15. TRUE OR FALSE: There are more 15 year old boys than girls.
15 year olds
16 year olds
18 year olds
17 year olds
Girls
Boys
False. We cannot make this conclusion from these graphs because we don’t know the totals. There might be 10 boys in total, making roughly 5 aged 15, but 100 girls, 30 of which are 15. It only tells us the proportion of 15 year olds.

16. TRUE OR FALSE: Twice as many people like Thrillers than Romance films.5 20 25 40 60
100
120
150
Horror
Favourite Films
Number of People
Comedy
Action
Romance
Thriller
The scale on the vertical axis is not linear, so even though the green bar is twice as big as the purple bar, it does not represent twice as many people.

17. SUMMARY
Scale doesn’t start at zero Scale is very small to make the data on the graph look really big Scale values or labels missing from the graph Sector labels and sizes missing from a pie chart Incorrect scale placed on the graph Size of images used in pictograms are different for the different categories

18. TODAY Next week: Fractions and Percentages
Understand and use large and small numbers, including currency
Calculate with the 4 operations - +, -, x and ÷
Follow BIDMAS (order of operations)
Positive and negative numbers, square and cubed numbers
Next week: Fractions and Percentages

19. WHO AM I?
Draw this grid on your whiteboard: Leave enough space to write a name and number next to each amount!
£25,740,030
51,931,640
£40,100,000
£51,750,000
£34,621,093
£9,600,000
£149,440
£143,789
£25,216,800
£27,847,401 £0
£43,500,000

20. Usain Bolt

21. Theresa May

22. Boris Johnson

23. Lewis Hamilton

24. Adele

25. Jeremy Clarkson

26. Daniel Radcliffe

27. Pope Francis

28. Queen Elizabeth II

29. Jose Mourinho

30. Ed Sheeran

31. Simon Cowell

32. Order your 12 celebrities from largest bank balance to smallest
(Put a number 1-12 next to their names)

33. £51,931,640

34. £51,750,000

35. £43,500,000

36. £40,100,000

37. £34,621,093

38. £27,847,401

39. £25,740,030

40. £25,216,800

41. £9,600,000

42. £149,440

43. £143,789

44. £0

45. Adele £51,931,640 Daniel Radcliffe £51,750,000 Simon Cowell £43,500,00 The Queen £40,100,000 Lewis Hamilton £34,621,093 Ed Sheeran £27,847,401 Usain Bolt £25,740,030 Jose Mourinho £25,216,800 Jeremy Clarkson £9,600,000 Theresa May £149,440 Boris Johnson £143,789 The Pope £0

46. INEQUALITY SYMBOLS An inequality shows that two values are not equal.
A < B says that A is less than B
A > B says that A is greater than B

47. Usain Bolt’s salary > The Queen’s salary
True or False?
Usain Bolt’s salary > The Queen’s salary

48. Lewis Hamilton’s salary > Jeremy Clarkson’s salary
True or False?
Lewis Hamilton’s salary > Jeremy Clarkson’s salary

49. Theresa May’s salary > The Pope’s salary
True or False?
Theresa May’s salary > The Pope’s salary

50. Simon Cowell’s salary > Adele’s salary
True or False?
Simon Cowell’s salary > Adele’s salary

51. True or False?
574 > 121

52. True or False?
1249 < 578

53. Number of days in a week > Number of sides of a nonagon
True or False?
Number of days in a week > Number of sides of a nonagon

54. Number of days in February < Number of days in October
True or False?
Number of days in February < Number of days in October

55. Number of degrees in a circle < Number of months in a year
True or False?
Number of degrees in a circle < Number of months in a year

56. True or False?
Number of planets in the solar system > Number of blind mice in the nursery rhyme

57. Number of Olympic rings > Number of days of Christmas
True or False?
Number of Olympic rings > Number of days of Christmas

58. ADDITION 104 + 51 9502 + 829 42 + 49 42 + 49 ____ 104 + 51 ____
Is the same as 2 + 4?
Remember to keep units, tens and hundreds in line
____
104
+ 51
____

59. SUBTRACTION 160 - 74 7000 - 4320 48 - 21 160 48 - 74 - 21 ____ ____
Is the same as 2 - 4?
Remember to keep units, tens and hundreds in line 48
- 21
____
160
- 74
____

60. MULTIPLICATION
Is 4 x 2 the same as 2 x 4?
Use the grid method

61. 3 x 7 12 x 7
45 x 7
39 x 47

62. DIVISION 48 ÷ 4 ____ 4 | 4 8 120 ÷ 6 _____ 6 | 1 2 0 704 ÷ 3
Is 4 ÷ 2 the same as 2 ÷ 4?
Use the bus stop method
48 ÷ 4
____
4 | 4 8
120 ÷ 6
_____
6 | 1 2 0
704 ÷ 3

63. ÷ 8

64. CHALLENGE

65. INTEGERS What is an integer?
An integer is a positive or negative whole number, including zero.

66. Rearrange these numbers from smallest to largest…
-10 5 33 -2 20
-10 -2 5 20 33 -1
2.5 -3 5
0.5 -3 -1
2.5
0.5 5

67. TEMPERATURE How much has the temperature increased?
During winter the early morning temperature is -3°C. By lunchtime it is up to 6°C.
How much has the temperature increased?
HINT:
Work out how many degrees it is from -3° to 0°, and then work from 0° to 6°
morning
lunchtime

68. TEMPERATURE How much has the temperature decreased?
In the early afternoon the temperature is 3°C. By early evening the temperature goes down to -5°C.
How much has the temperature decreased?
HINT:
Work out how many degrees it is from 3° to 0°, and then work from 0° to -5°
afternoon
evening

69. MONEY TERMS What bills do people have to pay?
When money is added to your account, it is called credit
When money is taken from your account, it is called debit

70. ANSWER THIS QUESTION… 2 + 3 x 4
Type it into your calculator – what is the answer?

72. √ Square Square root Square Square root Area = 3 x 3 = 3² 3 9 = 9
= 4² 4 16
Square root
= 16

73. cube cube Cube root Cube root
Volume =
3 x 3 x 3
Volume =
4 x 4 x 4
= 27
= 3³
= 64
= 4³
cube
cube 3 27 4 64
Cube root
Cube root

74. FROM THESE NUMBERS… 1 3 8 12 16 20 13 15 2 17 24 6 Write down:
Write down:
Factors of 6
Multiples of 4

75. = 30
5 x = 25
9 ÷ = 3
= 3
= 100
6 x = 36
18 ÷ = 2
= 12
= 114
x 5 = 25
÷ 4 = 4
= 3
= 30
9 x = 63
100 ÷ = 50
= 60
= 119
7 x = 49
100 ÷ = 25
- 199 = 1
= 299
x 8 = 56
100 ÷ = 5
= 103
= 320
10 x = 100
369 ÷ 3=
= 22.5
= 89
20 x = 40
999 ÷ = 333
= -3

76. = 30
5 x = 25
9 ÷ = 3
= 3
= 100
6 x = 36
18 ÷ = 2
= 12
=114
x 5 = 25
÷ 4 = 4
= 3
= 30
9 x = 63
100÷ = 50
= 60
=119
7 x = 49
100÷ = 25
- 199 = 1
= 299
x 8 = 56
100 ÷ = 5
=103
=320
10 x = 100
369 ÷3=
=22.5
=89
20 x = 40
999÷ =333
= -3 10 5 3 7 20 6 9 8 15 5 16 27 10 7 2 40 31 7 4
200 7 20
206
200
123
198 10
65.5
44.5 2 3 13