Data Handling

1. Data Handling • 14, 16, 16, 22, 23, 28, 31, 39, 51 • What is the range? • What is the mode? • What is the median? • 13, 15, 18, 22, 30, 34, 38, 45 • What is the median?

2. Data Handling • Draw me a scattergraph showing positive correlation • Can you give me a real life example? • Draw me a scattergraph showing negative correlation • Can you give me a real life example? • Draw me a scattergraph showing no correlation • Can you give me a real life example?

3. Data Handling • 120 Year 11 students were asked what their best subject was. The results are shown in this pie chart: • What fraction said English? • How many said maths?

4. Data Handling • The contents of fifty Smarties tubes were counted, the results in the table below: • How many tubes had at least 61 smarties in? • How many tubes had less than 60 smarties in? • What is the probability of choosing a tube with exactly 60 smarties in? • How would find out many smarties were there all together? • How would you then find the mean number of smarties? • What is the modal number of smarties? • What is the median number of smarties? • Sketch a bar chart to represent this data

5. Data Handling • The heights of thirty sunflower plants are measured exactly one month after planting, the results are grouped in the table below: • What is the modal group? • Estimate the mean height of the sunflower plants (Calc question – doh!) • Which group contains the median height? • Draw a grouped frequency diagram to represent this data • Draw a frequency polygon to represent this data

6. Data Handling • In a game of chance two sets of cards, one blue numbered 1, 2, 3, 4, 5 & 6 the other red numbered 2, 4, 6, 8 & 10. One card of each colour is picked at random and the numbers on each multiplied together. Complete the table below: • What is the probablility that the score will be odd? • What is the probablility that the score will be a multiple of 5? • The player wins if they score less than 10. If a person plays the game once, what is the probability that they will win the game? • If 120 people each play the game once, how many would we expect to win? • If it costs £1 to play the game, and you get £5 if you win, how much profit does the game make?

7. Number • What is the sum of 123 and 456 • What must you add to 48 to make 87? • What is the product of 32 and 357? • What is the value of the 7 in 1723? • Put the digits 1, 0, 8, 4 in order to make the largest positive number • the smallest odd number? • Write in words the number 154062 • Write in digits the number two million, four hundred and twenty two thousand, one hundred and fifty six. • Write 1800 as a product of prime numbers • How can you tell that 1800 is NOT a square number? • What can you multiply 1800 by to make it a square number? • Divide £800 in the ratio 6:3:1 • If a dress costing £90 is reduced by 15% in a sale, how much will it cost me?

8. Number • If my bank account pays 3% per year simple interest. How much will my £1000 savings be worth in 5 years time? • What is 35% as a decimal? • What is ¼ as a decimal? • Write 35%, ¼, and 0.3 in descending order • Which is larger 3/5 or 2/3? • What is ? • 408 – 259 • 3.4 – 1.62 • How many batteries costing £3.98 each can I buy with £20? • How much change do I get? • If a crate will hold 18 vases. How many crates will I need to pack 460 vases? How many vases will be left over?

9. Number • Without working out, which of the following is 132 x 54 = • 7125, 7126, 7128, 7129? • Using this fact, without working out, write down the answers to • 1.32 x 54 = • 132 x 0.54 = • 71.28 ÷ 5.4 = • 24, 25, 26, 27, 28, 29, 30 • Write down the multiples of 5 • The square number • The cube number • The prime number

10. Perimeter, Area, Volume 50cm 80cm • Perimeter? • Units? • Area? • Units? • If this is the front of a box 10cm long, what is its volume? • Units?

11. Perimeter, Area, Volume Radius = 10cm • circumference? • Units? • Area? • Units? • If this is the front of a cylinder 10cm long, what is its volume? • Units?

12. Perimeter, Area, Volume Radius = 10cm 50cm 80cm • Shaded Area?

13. Perimeter, Area, Volume 3cm 4cm • Area? • Units? • Length of longest side? • Units? • Perimeter? • If this is the front of a box 1m long, what is its volume? • Units?

14. Perimeter, Area, Volume 3m 6m 5m • Area? • Units? • If this is the front of a box 5m long, what is its volume? • Units?

15. Perimeter, Area, Volume 5cm 20cm • If the volume of this cuboid is 800cm3, what is the height?

16. Shape & Space • Draw a straight line • Draw one parallel to it • Draw another perpendicular to them • Draw a circle with a tangent • Show the diameter • Draw a chord on it • Draw a parallelogram • Draw a trapezium • Draw a cone • Draw an equilateral triangle • Draw its lines of symmetry • Draw an isosceles triangle • Draw its lines of symmetry

17. Metric units Write down the metric units best used to describe • Distance between Tenby and Cardiff • Weight of a new born baby • Volume of a bucket • Area of a classroom • Length of a dvd case • Thickness of a dvd case • Weight of a lorry • Distance between Room 6 and Room 1 • Volume of a shoebox • Volume of a can of cola • Distance between London and New York

18. Shape and Space • What am I called? • What is the size of x? • Sketch the net of a square based pyramid xo

19. Bearings If the bearing of B from A is 080o. What is the bearing of A from B? B 80o A

20. Angle Properties • What is x? x 110o

21. Angle properties • What is x? 100 x 95 150

22. Parallel lines • What are a, b and c? b c a 130o

23. Enlargement • How would you enlarge this with a scale factor of 3?

24. Translation

25. Rotation

26. Reflection 

27. Reflection 

28. Loci • Draw two points A and B 10cm apart • Now draw a boundary that is exactly 6cm from A • Now draw a boundary that is exactly the same distance from A as it is to B • Now shade in a region that is less than 6cm from A and closer to B than to A A B

29. Directed Numbers • If the temperature is 2oc, what will it be if it becomes 8o warmer? • What will it be if it becomes 8o colder? • By how many degrees will it fall to become -10oc? • What do you get if you add -3, +2, -1, -5, +4 ?

30. Sequences • What is the next term? -3, 1, 5, … • Describe the rule that generates the sequence 62, 55, 48, … • What is the nth term rule for the sequence 4, 11, 18, 25, … • Write down the first three terms in the sequence with nth term rule 2n+5 • What are the next two terms in the sequence 1, 4, 9, 16, …?

31. Formulas • Find the value of 2P-3Q when P=7 and Q=4 • What about when P=2 and Q=-3? • Pay = £6 x hours worked + £20 • How much pay when 10 hours worked? • How many hours worked when paid £56?

32. Simplifying • 3a + 8a – 5a • 3x - 2y + 8x – 3y • 4(2p – 3) • 2(5x + 1) + 3(3x – 2) • 5p + 8 – 2(p – 3)

33. Solving • 3x = 21 • X – 4 = 11 • 5x – 7 = 12 • 5n – 3 = 3n + 13 • 3(4x – 1) + 2(2x + 3) = 10

34. Algebra in context • Write down 4 smaller than x • Write down 8 larger than x • Write down 5 times as many as x • What is the perimeter of this shape? • If I know the perimeter is 29cm, write down an equation and solve to find x. x 4 5 3x

35. Factorising and rearranging • Factorise 4x + 6 • Factorise 2y2 – 8y • Rearrange p = 4r + 3 to give r =… • Make n the subject of the formula m = 5n - 7

37. And finally… • You’ll have plenty of time so DON’T rush. • Read through paper before starting – parts of your brain will start thinking about later questions whilst your on the easier ones. • Read each question carefully and make sure that you understand what it’s asking you to do before you start answering it. • When you’ve finished an answer, check back to make sure it seems sensible and answers the question. • Draw any diagrams or graphs using a pencil so you can rub out any mistakes • If you get stuck, think for a minute, if no joy move on to next question. Your brain will keep mulling over the stuck one. • If you want to replace a mistake, just cross it out so the examiner can still see it. Don’t obliterate it. • When you get to the end of the paper, go back and retry the ones you got stuck on. Don’t leave any question unanswered if possible. Go with a hunch or have a guess. The only questions you are certain to get no marks for are ones you haven’t tried.

38. Now go and nail it!!!