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GCSE: Bad Tomatoes

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  1. GCSE Maths questions

    • Develop your confidence and skills in GCSE Maths using our free interactive questions with teacher feedback to guide you at every stage.
    • Level: GCSE
    • Questions: 75
  2. Bad Tomatoes

    Hour Total number of bad tomatoes 0 1 1 3 2 6 3 10 4 15 5 21 By looking at this table of results, I can now produce a sequence. 1 2 3 4 5 3 6 10 15 21 +3 +4 +5 +6 +1 +1 +1 Natalie Hayes 10E group 3 Page 2 The first thing I noticed when looking at my sequence was that the difference between each number increased by 1 each time e.g. +1, +2, +3, +4, +5, +6.

    • Length: 2289 words
  3. Bad Tomatoes Investigation

    Part 1 There are 3 different positions for the tomatoes to start going bad. The first position is anywhere in the middle of any side: As you can see, the first tomato to go bad is the one coloured black. And then the tomatoes it touches go bad until all the tomatoes in the tray have gone bad. Also it doesn't matter which side the tomato starts going bad as long as it's in the middle and on the side. A table can be drawn from this for analysis and to generate a formula: Number of hours ( )

    • Length: 679 words
  4. In this project I am going to examine the time taken for a whole tray of tomatoes to go bad when a single bad tomato is put in a particular position.

    2 3 4 5 1 2 3 4 2 3 4 5 3 4 5 6 Hours (n) Total No. Of Bad Tomatoes 1st Difference 2nd Difference 1 1 3 2 4 1 4 3 8 0 4 4 12 -1 3 5 15 -2 1 6 16 The table on the previous page tells me what is involved in the nth term. The column labelled '1st Difference' tells us the difference between the number of bad tomatoes in the first hour to the second hour and so on.

    • Length: 1658 words
  5. Bad Tomatoes

    The problem of calculation the total time required for all tomatoes to go bad is the same as the problem of calculating the time needed for bad tomatoes to reach the corner which is most remote from the starting position. If we can calculate the time required for the bad tomatoes to reach the most distant corner from the starting position, we can safely say that the rest of the tray has gone bad as well. Stage one of the analysis We will first consider the easiest case, when the initial bad tomato is at equal distance from both sides of the tray extract, spaced by 'n' rows and 'n' columns from corresponding walls.

    • Length: 1675 words
  6. GCSE Maths Bad Tomato Investigation

    5 15 1, 2, 5, 3, 6, 9, 4, 7, 10, 13, 8, 11, 14, 12, 15. 6 16 1, 2, 5, 3, 6, 9, 4, 7, 10, 13, 8, 11, 14, 12, 15, 16. A clear pattern can be seen when looking at square trays with a tomato going bad in the corner. Here is a table showing some different sized squares and how long they take to go bad with the bad tomato starting off in the corner: Size (LxL) Amount of time for whole tray to go bad [T(in hours)] 2x2 2 3x3 4 4x4 6 5x5 8 6x6 10 7x7 12 The obvious pattern is that as length - l increases by one, the time for the tray to go bad - t increases by 2.

    • Length: 3047 words
  7. GCSE Mathematics - Bad tomatoes

    Another hour later tomato 16 is bad. Hours No of bad tomatoes Bad tomato no. 1 st hour 2 1, 6, 9 2nd hour 4 2, 7, 10, 13 3rd hour 4 3, 8, 11, 14 4th hour 3 4, 12, 15 5th hour 1 16 What would happen if tomato no.1 was the bad tomato? 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Hours No of bad tomatoes Bad tomato no. 1st hour 2 2, 5 2nd hour 3 3, 6, 9 3rd hour 4 4, 7, 10, 13 4th hour 3 8, 11, 14 5th hour 2 12, 15 6th hour 1 16 What would happen if tomato no.6 was the first bad tomato?

    • Length: 1724 words
  8. GCSE Maths Bad Tomato Investigation

    7 8 9 10 11 12 13 14 15 16 8 9 10 11 12 13 14 15 16 17 9 10 11 12 13 14 15 16 17 18 (Numbers indicate the hour at which the tomato went bad, the colours identify the different sized boxes) In each size box the tomato that goes bad first starts in the same position Size (LxL) Time taken for whole tray to go bad (T) No. that go bad each hour 2x2 3 1,2,1 3x3 4 1,3,3,2 4x4 6 1,3,4,4,3,1 5x5 8 1,3,4,5,5,4,2,1 6x6 10 1,3,4,5,6,6,5,3,2,1 7x7 12 1,3,4,5,6,7,7,6,4,3,2,1 8x8 14 1,3,4,5,6,7,8,8,7,5,4,3,2,1

    • Length: 3081 words
  9. Bad Tomatoes Investigation

    I have also found that whatever a tray size may be, the maximum amount of tomatoes to turn bad in that particular tray, will always be the same as the size of the tray. Eg. A tray measuring 5*5 will have a maximum of 5 tomatoes, which turn bad. I have also found a formula, which tells me the time taken for all of the tomatoes to turn bad in any tray.

    • Length: 497 words
  10. Bad Tomatoes

    25 26 27 28 29 30 31 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24

    • Length: 3647 words

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