GCSE: Bad Tomatoes
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GCSE Maths questions
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- Level: GCSE
- Questions: 75
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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.
- Word count: 1658
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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.
- Word count: 1675
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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?
- Word count: 1724
