1. Passport to grade C

2. Add, subtract, multiply and divide integers
23x74
55212

3. Add, subtract, multiply and divide integers
=1056
=113
23x74=1702
55212=46

4. Round to significant figures and estimate answers
356
213
4587 35
684
12.7

5. Round to significant figures and estimate answers
check your answers

6. Round to significant figures and estimate answers
check your answers
Now use your rounded values to estimate answers. Step 1 round to 1 sig fig, step 2 calculate with your rounded values.
Eg ) 4.6x1.4= ) 12.3 – ) ( )2.88
2.9x3.01=
3x3=9

7. Round to significant figures and estimate answers
check your answers
Now use your rounded values to estimate answers. Step 1 round to 1 sig fig, step 2 calculate with your rounded values.
Eg ) 4.6x1.4= ) 12.3 – 3.5=6 3) ( )2.88= 5
2.9x3.01=
3x3=9

8. Find HCF and LCM of 2 numbers
Highest Common Factor Lowest Common Multiple

9. Find HCF and LCM of 2 numbers
Highest Common Factor Lowest Common Multiple Test question (a) Write each of the numbers 36 and 80 as a product of prime factors. 36 = = [3] (b)(i)Find the least common multiple (LCM) of 36 and [2] (ii)Find the highest common factor (HCF) of 36 and [1]

10. Find HCF and LCM of 2 numbers
Highest Common Factor Lowest Common Multiple Test question (a) Write each of the numbers 36 and 80 as a product of prime factors. 36 = 2x2x3x = 2x2x2x2x [3] (b)(i)Find the least common multiple (LCM) of 36 and [2] (ii)Find the highest common factor (HCF) of 36 and [1]

11. + a: b: c: d: Calculate the value of:
Add, subtract, multiply and divide fractions
Calculate the value of: + a: b: c: d:

12. 7 subtraction a: b: c: d: What is the value of:
Add, subtract, multiply and divide fractions 7
What is the value of:
subtraction a: b: c: d:

13. 8 multiply a: 2 b: 4 c: 6 d: 8 Find the value of:
Add, subtract, multiply and divide fractions 8
Find the value of:
multiply
a: 2
b: 4
c: 6
d: 8

14. 10 DIVISION a: 48 b: 24 c: 12 d: 6 What is the value of:
Add, subtract, multiply and divide fractions 10
What is the value of:
DIVISION
a: 48
b: 24
c: 12
d: 6

15. Calculate percentage increase and decrease
Increase the following rail fares by 10%.
a) £ b) £3.70
10% = ………………… 10% = …………………
New cost = ……………… New cost = ………………
c) £ d) £9.81
New cost = ……………… New cost = ………………

16. Calculate percentage increase and decrease
Increase the following rail fares by 10%.
a) £ b) £3.70
10% = 92p………………… 10% = 37p…………………
New cost = £10.12…… New cost = £4.07……
c) £ d) £9.81
10% = 50p………………… 10% = 98p…………………
New cost = £5.50………… New cost = £10.79……

17. Calculate percentage increase and decrease
decrease the following rail fares by 15%.
a) £ b) £3.70
10% = ………………… 10% = …………………
5%= %=
15%= %=
New cost = ……………… New cost = ………………
c) £ d) £9.81
10% = ………………… % = …………………
5%= %=
15%= %=
New cost = ……………… New cost = ………………

18. Calculate percentage increase and decrease
decrease the following rail fares by 15%.
a) £ b) £3.70
10% = 92p % = 37p
5%= 46p %= 18.5p
15%= £ %= 55.5p
New cost = £ New cost =£3.15
c) £ d) £9.81
10% = 50p % = 98.1p
5%= 25p %=49.05p
15%= 75p %= £1.47
New cost = £ New cost = £8.34

19. Calculate the square root and cube root of a number
Match these values to their square roots 49, 1, 81, 36, 25, 16, 4 1, 4, 7, 2, 6, 9, 5 Match these numbers to their cube roots 125, 216, 1, 27, 64, 8 1, 5, 4, 2, 6, 3

20. Add, subtract, multiply and divide decimals
= = 1.2x4= 4.81.2=

21. Add, subtract, multiply and divide decimals
= = 1.2x4= 4.81.2= Now use your calculator to check

22. Add, subtract, multiply and divide decimals
= = 1.2x4= 4.81.2= Now use your calculator to check Exam question. How many bottles of water at £1.27 can Amy buy with a £5 note? How much change will she have?

23. Write the prime factor decomposition of a number
Also called the product of primes
300
600
120 60 55
check your results by multiplying the together, you should get what you started with

24. Work with indices Simplify evaulate 52 x 52 52 x 92 24 x 22  2
92  90
(22 )3

25. Convert between fractions decimals and percentages
= 0·9 = %
= = 3%
= 0·53 = 53%

26. Share an amount in a ratio
4. Alan, Brendan and Chloe shared £768 in the ratio 5 : 4 : 3. How much did each receive? Alan £ Brendan £ Chloe £ [3] 5. (a) A box contains 120 cubes. Some of the cubes are black, the rest are white. The black cubes and white cubes are in the ratio 2 : 3. Calculate the number of black cubes and the number of white cubes in the box. black cubes white cubes [3] (b) Another box also contains black cubes and white cubes in the ratio 2 : 3. There are 160 black cubes. How many white cubes are there? [2]

27. Find the perimeter and area of a square, rectangle and triangle

28. Area and perimeter
Perry the ant walks around the edge of a shape, when you calculate perimeter make sure you have used all the edges
There are no formulas you have to know for perimeter except the circles one.

29. Area is the space a shape covers and we find it by multiplying
3.8cm
7cm
4cm
8cm
4.5cm
6cm
7cm
9cm
5cm
4cm
18mm
12cm
10cm

30. Area is the space a shape covers and we find it by multiplying
3.8cm
7cm
4cm
8cm
4.5cm
6cm
7cm
9cm
5cm
4cm
18mm
12cm
10cm

31. Factorise an expression
Example Factorise 36-3x = 3(12-x) Now write and answer 5 of your own green questions showing you can factorise an expression

32. Set up and solve a linear equation
Construct, and then solve, an equation for each situation given below:
1. Think of a number. Subtract 9. The result is 25. What is the number?
2. Think of a number. Multiply it by 5, then add 12. The result is 52. What is the number?
3. A number is trebled and added to 11. The result is 50. What is the number?
The three angles in a triangle are c, c+20 and c+40. Find c.
5. A number added to twice the number gives an answer of 24. What is the number?
6. Three consecutive numbers added together make 48. What are they?

33. Round to decimal places
Round these numbers to one decimal place (a) 4.26 (b) 7.31 (c) (d) (e) (f) 1.65 (g) 0.95 (h) (i) (j)

34. Round to decimal places
Round these numbers to one decimal place (a) (b) (c) (d) (e) (f) (g) (h) (i) (j) Explain (g) to a friend

35. Solve an inequality
3x<18 x>7 represent your solution on a number line 2x+1≥11

36. Plot a quadratic graph
Find the area of a compound shape

37. Calculate the area and circumference of a circle
Write down the formulae you need
Calculate the area and perimeter of each shape
3.5cm
14cm
9cm

38. You now have half a passport…
Work down the 4th column and write green questions to convince your teacher you can do the topics in this column.

39. Expand brackets
Remember there is no equals sign so you do not have to find an answer, just change the way it looks, in this case make it not have brackets.
3(a+2)
7(b-4)
3x(x+2)
5x(y-4)

40. Expand brackets
Remember there is no equals sign so you do not have to find an answer, just change the way it looks, in this case make it not have brackets.
3(a+2) 3a+6
7(b-4) 7b-28
3x(x+2) 3x2+6x
5x(2y-4) 10xy-20x

41. Use trial and improvement
Work to 1 decimal place
a) x³+17=54
b) 2x³+5x=200
c) 5x²+60=120
d) x³+6=20

42. Use trial and improvement
Work to 1 decimal place
a) X³+17= x=3.3
b) 2x³+5x=200 x=4.5
c) 5x²+60=120 x=3.5
d) X³+6= x= 2.4

43. Write and use nth trem
Use these nth terms to generate the next 5 terms of the sequences, the first one has been done for you
3n , _, _, _, _, …..
2n , _, _, _, _, …..
n , _, _, _, _......
n² , _, _, _, _, …..

44. Write and use nth trem
Use these nth terms to generate the next 5 terms of the sequences, the first one has been done for you
3n , 7, 10, 13, 16, …..
2n , 1, 3, 5, 7, …..
n , 12, 13, 15,
n² , 4, 9, 16, 25, …..

45. Now find the nth terms of these sequences
4, 6, 8, 10, …..
3, 6, 9, 12, ….
1, 5, 9, 13, …..
10, 7, 4, …..
20, 24, 28, …..

46. Now find the nth terms of these sequences

47. Plot linear graphs
And use words like gradient and intercept

48. Plot these points

49. Plot these points
Girls (3, 4) Boys (5, 6)

50. Plot these points
Girls (3, 4) (3, 0) Boys (5, 6) (4, 6)

51. Plot these points
Girls (3, 4) (3, 0) (3, -1) Boys (5, 6) (4, 6) (0, 6)

52. Plot these points
Girls (3, 4) (3, 0) (3, -1) (3, -0.5) Boys (5, 6) (4, 6) (0, 6) (-1.5, 6)

53. Plot these points
Girls (3, 4) (3, 0) (3, -1) (3, -0.5) (3, 6) Boys (5, 6) (4, 6) (0, 6) (-1.5, 6) (-6, 6)

54. Plot these points
Girls (3, 4) (3, 0) (3, -1) (3, -0.5) (3, 6) Boys (5, 6) (4, 6) (0, 6) (-1.5, 6) (-6, 6)
Which point could sit on either line?

55. Plot these points
Girls (3, 4) (3, 0) (3, -1) (3, -0.5) (3, 6) ( , ) Boys (5, 6) (4, 6) (0, 6) (-1.5, 6) (-6, 6)

56. Plot these points
Girls (3, 4) (3, 0) (3, -1) (3, -0.5) (3, 6) Boys (5, 6) (4, 6) (0, 6) (-1.5, 6) (-6, 6)
Name your line

57. Plot these points
Girls (3, 4) (3, 0) (3, -1) (3, -0.5) (3, 6) Boys (5, 6) (4, 6) (0, 6) (-1.5, 6) (-6, 6)
Girls name a line to the left of your line

58. Plot these points
Girls (3, 4) (3, 0) (3, -1) (3, -0.5) (3, 6) Boys (5, 6) (4, 6) (0, 6) (-1.5, 6) (-6, 6)
Boys name a line above your line

59. Plot linear graphs
Complete the table and plot y=4x+1 x -1 1 2 y 9

60. Percentages without a calculator1%
100%
10%
£50
98%
20% 3%
60%
35%
25%

61. Percentages without a calculator
£0.50
£50 1%
100%
£49 £5
10%
£50
98%
20% 3%
£10
£1.50
60%
35%
25%
£30
£17.50
£12.50

62. URGENT NEWS FLASH

63. URGENT NEWS FLASH
Maths exam markers today have announced that probability questions must be answered as a fraction

64. URGENT NEWS FLASH
Or a decimal....

65. URGENT NEWS FLASH
Or a percentage....

66. Or as a word if they give you words to choose from....
URGENT NEWS FLASH
Or as a word if they give you words to choose from....

67. URGENT NEWS FLASH
But never

68. URGENT NEWS FLASH
Ever....

69. URGENT NEWS FLASH
EVER......

70. URGENT NEWS FLASH
As a ratio

71. Write a probability..
With a fraction
Or a decimal
Or a percentage

72. Volume of a prism
What is the surface area of a cuboid with dimensions 10 cm, 8 cm and 5 cm.
5 cm
8 cm
10 cm

73. Find the volume and surface area of this prism
4 cm
5cm
14cm

74. Find the volume of this prism