9 results found

#### GCSE Maths Bad Tomato Investigation

• Word count: 3047
• Level: GCSE
• Subject: Maths

• Word count: 679
• Level: GCSE
• Subject: Maths

• Word count: 1675
• Level: GCSE
• Subject: Maths

Maths Coursework Investigation Bad Tomatoes My aim is to investigate the mathematical propagation of 'bad tomatoes' This is essentially an investigation of patterns derived from a simple set of rules for this propagation, in the manner of a simplified life genesis program. The rules are as followed: . The first hour, any one of the tomatoes (depending on the investigation) turns 'bad' 2. From that hour on, any tomato touched by a bad tomato will turn bad itself, on an hourly basis. 3. Tomatoes are constrained within an n*n grid, which restricts propagation of bad tomatoes. As visible from the rules, this allows for creation of simple models to show the propagation of bad tomatoes. From these, I hope to derive formulae, or sets of rules if formulae are not possible, to make logical predictions. We shall define the variables as will be used in the description of this investigation as follows: n The hour in which a tomato turns g The grid size (g2) x The number of turned tomatoes in each n h The number of hours taken for all tomatoes to go bad t Total number of turned tomatoes (equal to g2) Contents Item Page number Introduction Contents 2 Mapping of tomatoes in the middle of a side 3 Tomatoes in the corner 7 Conclusion 9 2 3 4 5 6 7 8 9 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 9 20 21 22 23

• Word count: 3647
• Level: GCSE
• Subject: Maths

BAD TOMATOES In my experiment, I will investigate how the tomatoes turn bad and try to figure out a constant rule, for the time taken for boxes of tomatoes to go bad. Part 1 Here is the tray of 16 tomatoes; Next I am going to investigate with other sized boxes. E.g. 3*3 This box measures 2*2 This box measures 3*3 This box measures 5*5 This tray measures 6*6 My results have shown me that as the size of a tray of tomatoes increases, the time taken for a tray of tomatoes to turn bad also increases. 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. However the rule will not work for trays below 4cm². The formula is 2n-3 in which the n stands for the size of a particular tray, eg. 5cm². The formula tells me the time taken for a whole tray to turn bad. I will prove this by using a tray, sized 10cm² as it is a tray, which I have not used and is not in keeping with the regular patern. Using my formula to calculate the time taken for the tray to turn bad, I predict that it will take 17 hours for a whole tray measuring 10*10 to turn bad. 2 * 10 - 3 = 17 Next I will

• Word count: 497
• Level: GCSE
• Subject: Maths

#### GCSE Maths Bad Tomato Investigation

• Word count: 3081
• Level: GCSE
• Subject: Maths

• Word count: 2289
• Level: GCSE
• Subject: Maths