Number stairs

Maths coursework Number stairs The number stairs coursework involves using a 10x10 numbered grid up to 100 using this grid, i will draw on step shapes the step shapes that will be created overlap the numbers in the grid. The overlapped numbers will be added up to create a total figure this is the number i am trying to work towards. The formula created will have to be formed to calculate the total from using the bottom left hand number on the stair shape. Algebra will be a major part of this coursework as it is needed to create the formula. The algebra can be used to replace the numbers in the formula. The final formula i predict will require the numbers of steps and the bottom left number. st objective - collect data form patterns convert to algebra for a 10x10 grid convert to formula test formula 2nd objective- vary size of step stairs and modify formula accordingly 3rd objective- vary size of grid try an increase to 10x15 and test formula formula must use algebra and be able to produce the answer of total sum without the use of the diagram apart from the number of stairs and the number of the bottom the bottom left square. This number will be called n in the

  • Word count: 218
  • Level: GCSE
  • Subject: Maths
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Four Sided Shapes Investigations

FOUR SIDEDED SHAPES RECTANGLES INTROUCTION: I am going to start my investigation with a simple shape, the rectangle. 400 m AREA = BASE x WIDTH = 400m x 100m 100 m 100 m = 40000m2 400 m AREA = BASE x WIDTH 300 m = 200m x 300m = 60000m2 200 m 200 m 300 m AREA = BASE x WIDTH 350 m = 150m x 350m = 525000m2 150 m 150m 350 m 250m AREA = BASE x WIDTH = 250m x 250m = 62500m2 250m 250m 250m AREA = BASE x WIDTH 375m = 375m x 125m = 46875m2 125m 125m 375m AREA = BASE x WIDTH 275m = 275m x 225m = 61875m2 225m 225m 275m AREA = BASE x WIDTH 251m = 251m x 249m = 62499m2

  • Word count: 211
  • Level: GCSE
  • Subject: Maths
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Environment Questionnaire

Environment Questionnaire . Do you feel that your neighborhood suffers from vandalism? ? Yes ? No 2. Do you believe that there are adequate pedestrian crossings in your area? ? Yes ? No 3. Do you think that there is a lot of noise pollution in your neighbourhood? ? Yes ? No 4. If so; on which day, and is there a particular time? ? Monday- Thursday ? Friday- Sunday ? 06:00-11:59 ? 12:00-15:59 ? 16:00- 19:59 ? 20:00-11:59 ? 00:00- 05:59 5. Do you think that there is adequate parking in your area? ? Yes ? No 6. Do you believe that you have traffic problems in your area? ? Yes ? No 7. Do you think that there is adequate lighting in your area? ? Yes ? No 8. Do you think that it is safe to go out at night? ? Yes ? No 9. How happy would you be to let your children play outside without parental provision? ? Very Happy ? Happy ? Not so happy ? I wouldn't allow it 0. Do you think that there is adequate security in your area? ? Yes ? No 1. Would you be happy to leave your house empty for long periods of time? ? Yes ? No 2. Do you think that there is a lot of air pollution in your area? ? Yes ?

  • Word count: 210
  • Level: GCSE
  • Subject: Maths
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The Gradient Function

The Gradient Function Introduction: In this investigation I am going to investigate the gradient function of different lines. I am going find out the gradient of each line and then look at all the different gradients. With these different gradients I am going to comment on the difference of the value of the different gradients. Observations: I can see that the gradients have got bigger, the bigger the line. For example: THE AVERAGE GRADIENT OF y = x is 1 THE AVERAGE GRADIENT OF y = x (3 is 9 I can see that each 3 gradients on each line are positive on the lines of y = x (3 y = x (3 GR 18 GR 8 GR 1 y = 2x (3 GR 32 GR 28 GR 2 y = 3x (3 GR 40 GR 54 GR 3.25 While lines of y = x (2 most of them have negative gradients y = x GR -2 GR -0.8 GR 4 y = 2x (2 GR -14 GR -3 GR 13 y = 3x (2 GR -45 GR 33 GR 27.5 Formula: The formula is gr = a Conclusion: I have found out that gradients increase when the line is made bigger. Also I have commented on different observations I have

  • Word count: 205
  • Level: GCSE
  • Subject: Maths
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Investigation to find if there is a difference in word length between an American news paper and a British paper

The written word Introduction: Aim to find if there is a difference in word length between an American news paper and a British paper. I chose 2 political articles that are about the same and systematically chose 66 words from each article by selecting every 5th word using statistical analysis. Here are all the words that I chose from the American paper and the British paper: USA Today Mail on Sunday Is Cabinet Efforts Majesty Of At Experts Eye That Ostensibly A During Overthrow Domestic Ruled And Two Considered House Relaunch Confirm Into Is Considered CIA And Have Their Area Public British Been Our Whole Administration Exotic Than The The Even An On That Israeli The New Increasing A National Of Whose A The United Provide In Official Lobbying Will Against To There Convene Of Detectors Hussein Or American They Decide Hundred Wholesale Serving Is The Threat Other After Of This Troops Surprise If After If Merly It Of Among Pentagon Saudi The A A Further

  • Word count: 201
  • Level: GCSE
  • Subject: Maths
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For my mathematics coursework I have chosen to study T-shapes

For my mathematics coursework I have chosen to study T-shapes. T-shapes consist of a group of squares, shaped like a T, positioned on a numbered grid. An example of such a T-shape is below. The area outlined in red is the T. It is three squares horizontally and three squares vertically, making it a 3x3 T. The grid is a vertical eight squares and an horizontal eight squares on the grid, making it an 8 x 8 square. The sum of all the grid squares across which this T is plotted is the T total. The first square of the T, outlined in green, is called T for purposes of calculating the T total. In this T-shape, T = 1. Calculation of the T-total: +2+3+10+18 = 34 T+T+1+T+2+T+9+T+17 = 5T + 29 This shows us that the formula for a 3x3 T plotted from T1 on an 8x8 grid is 5T + 29. I predict that this formula may apply for any 3x3 T in this grid. I will now investigate this by plotting 3x3 T-shapes originating in other parts of the grid.

  • Word count: 190
  • Level: GCSE
  • Subject: Maths
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The Purpose of Business Documents

The Purpose of Business Documents Complete the form below to identify the, PROGRAM AUDIENCE (External or Internal), PURPOSE, WRITING STYLE (formal or Informal) of each document you are producing Document Program to use Audience Writing Style/Key Features Leaflet Flyer Newsletter Business Card Advertisement Invitation Business Letter Word External customers and other businesses The letter should be posh and tidy Agenda Word Internal to work colleague About a meeting before it takes place Should be brief and contain every thing that's going to be brought up in the meeting. Minutes Word Internal to work colleague About meeting that has taken place Should contain all things about last meeting and what you are going to do about it Memo Word Internal work to outher people u work with Should be short and professionally e.g. to,from,cc,date,re: Business Report Invoice WORD EXTERNAL TO SHOW THE CUSTERMA HAS BOUGHT THE OBJECT SHOULD CONTAIN THE PRICE OF THE OBJECT AND HOE UCH IT COST SJS

  • Word count: 169
  • Level: GCSE
  • Subject: Maths
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Maths borders

This is my math's project, where you are tested on your pattern, sequence and algebra. This project is called 'Borders' I have answered the questions on the answer sheet. a) For question 1b) I was asked to draw a table to show my findings, in this way I put it in order, in columns, and wrote extra information, like cross shape 1 and 2, so that the sequence could be more understandable. b) Total = W+G (T) Num. of Grey Squares (G) Num. of White Squares (W) Shape Number. 5 4 Cross shape 1 3 5 8 Cross shape 2 25 3 2 Cross shape 3 c) The pattern is: That to find out the number of white squares in the shape, you multiply the number of Cross shape, (I.e. shape 1, 2, 3, 4...) By 4, the formula is:

  • Word count: 145
  • Level: GCSE
  • Subject: Maths
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Business Report part 6 (graph1)

Graphs The graph shows that there are more females than males. This graph shows the amount of people who carry a mobile. Most people carry a mobile. This is a good sign as we know that people in that area are used to mobiles. This graph shows the model or brand people would like to buy if they were considering buying one. From my results I could clearly see that Nokia is a popular type of mobile. This graph shows the maximum amount people would spend on a mobile phone. Most people choose £100-£200. This is a good result because of course any customer would want a good mobile and the staff can provide them with a mobile to their satisfaction because most mobiles are available in this

  • Word count: 129
  • Level: GCSE
  • Subject: Maths
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Maths CourseWork

Aims, Design and Strategy ? A familiar problem but thoroughly and clearly laid out. ? Score 3 Selection and Collection of Data ? Relevant data from more than one source ? Detailed and clear description of methods ? Justification and rejection in context of several recognised sampling methods ? Score 6 Presentation of Data ? Data recorded in tables ? Bar charts / multiple charts / cumulative step polygons / box plots all used highly effectively ? Reasons always given for method chosen ? Each time more is found out about the data ? Score 9 Calculations ? mean, mode, median, LQ, UQ, IQR, s.d., outliers, Spearman's ? strong justification given for all methods used ? Score 11 Interpretations and Conclusions ? very strong running commentary ? brought in external methods to compare the findings ? score 8 Total 3 + 6 + 9 + 11 + 8 =

  • Word count: 127
  • Level: GCSE
  • Subject: Maths
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