Habitat Posted November 6, 2018 #151 Share Posted November 6, 2018 105 ? 1 Link to comment Share on other sites More sharing options...
danydandan Posted November 6, 2018 Author #152 Share Posted November 6, 2018 19 minutes ago, Habitat said: 105 ? Yeap. Your turn to set a question. Link to comment Share on other sites More sharing options...
Habitat Posted November 6, 2018 #153 Share Posted November 6, 2018 Not exactly a maths brain teaser, but what is the maximum number of different valid spellings you can find for a word that is pronounced the same, but spelled differently. Homophones. For example "bear" and "bare", same sound, different spelling. The number of letters need not be the same, as with "bow" and "bough". The most I can come up with, is four, that have different spelling, but sound the exact same. I very much doubt there would be more than that, but there may be another group of 4, to the one I have in mind. Link to comment Share on other sites More sharing options...
danydandan Posted November 6, 2018 Author #154 Share Posted November 6, 2018 3 hours ago, Habitat said: Not exactly a maths brain teaser, but what is the maximum number of different valid spellings you can find for a word that is pronounced the same, but spelled differently. Homophones. For example "bear" and "bare", same sound, different spelling. The number of letters need not be the same, as with "bow" and "bough". The most I can come up with, is four, that have different spelling, but sound the exact same. I very much doubt there would be more than that, but there may be another group of 4, to the one I have in mind. Can we keep it strictly mathematically based please Hab. Thanks. Link to comment Share on other sites More sharing options...
Ozymandias Posted November 8, 2018 #155 Share Posted November 8, 2018 Are we done, then? Link to comment Share on other sites More sharing options...
danydandan Posted November 9, 2018 Author #156 Share Posted November 9, 2018 (edited) I'll stick another up. Soon Or you can if you wish. Edited November 9, 2018 by danydandan Link to comment Share on other sites More sharing options...
danydandan Posted November 9, 2018 Author #157 Share Posted November 9, 2018 @Habitat do you want to set another teaser. Link to comment Share on other sites More sharing options...
Habitat Posted November 9, 2018 #158 Share Posted November 9, 2018 15 minutes ago, danydandan said: @Habitat do you want to set another teaser. Can't think of one at the minute. Link to comment Share on other sites More sharing options...
danydandan Posted November 9, 2018 Author #159 Share Posted November 9, 2018 4 minutes ago, Habitat said: Can't think of one at the minute. Ill pop one up tomorrow, if you think of one you can post it up. Thanks for participating. Link to comment Share on other sites More sharing options...
Ozymandias Posted November 11, 2018 #160 Share Posted November 11, 2018 On 09/11/2018 at 8:17 AM, danydandan said: Ill pop one up tomorrow, if you think of one you can post it up. Thanks for participating. So, finally, we're done!? Link to comment Share on other sites More sharing options...
danydandan Posted November 11, 2018 Author #161 Share Posted November 11, 2018 If a line segment intersects two straight lines forming two interior angles on the same side that sum to less than two right angles, then the two lines, if extended indefinitely, meet on that side on which the angles sum to less than two right angles. Is the above statement true, all the time! Link to comment Share on other sites More sharing options...
Ozymandias Posted November 12, 2018 #162 Share Posted November 12, 2018 (edited) On 11/11/2018 at 7:25 AM, danydandan said: If a line segment intersects two straight lines forming two interior angles on the same side that sum to less than two right angles, then the two lines, if extended indefinitely, meet on that side on which the angles sum to less than two right angles. Is the above statement true, all the time! I've waited to let non-existent others have a go at this relatively easy question. As usual, the answer depends on the geometric context. There are many geometries. The answer is, yes, the lines must meet at a point if they exist in a Euclidean 2-dimensional space as per our traditional school geometry. But their are many other non-Euclidian geometries (projective, hyperbolic, spherical, etc) where parallel lines can meet and non-parallel lines never meet! In a 3-dimensional space, for example, two non-parallel lines may never meet (think about it). Edited November 12, 2018 by Ozymandias 1 Link to comment Share on other sites More sharing options...
danydandan Posted November 12, 2018 Author #163 Share Posted November 12, 2018 1 hour ago, Ozymandias said: I've waited to let non-existent others have a go at this relatively easy question. As usual, the answer depends on the geometric context. There are many geometries. The answer is, yes, the lines must meet at a point if they exist in a Euclidean 2-dimensional space as per our traditional school geometry. But their are many other non-Euclidian geometries (projective, hyperbolic, spherical, etc) where parallel lines can meet and non-parallel lines never meet! In a 3-dimensional space, for example, two non-parallel lines may never meet (think about it). Excellent! Your turn Link to comment Share on other sites More sharing options...
Ozymandias Posted November 12, 2018 #164 Share Posted November 12, 2018 (edited) Starting with the first three natural numbers (1, 2, 3) the following sequence is generated:- 1, 2, 3, 6, 11, 20, , 37, 68, 125, 230, ....... What is the next number in the sequence? Edited November 12, 2018 by Ozymandias Link to comment Share on other sites More sharing options...
danydandan Posted November 13, 2018 Author #165 Share Posted November 13, 2018 19 hours ago, Ozymandias said: Starting with the first three natural numbers (1, 2, 3) the following sequence is generated:- 1, 2, 3, 6, 11, 20, , 37, 68, 125, 230, ....... What is the next number in the sequence? 423? 1+2+3=6 2+3+6=11 3+6+11=20 6+11+20=37 11+20+37=68 20+37+68=125 37+68+125=230 68+125+230=423. That's the pattern I've got anyways. 1 Link to comment Share on other sites More sharing options...
Ozymandias Posted November 13, 2018 #166 Share Posted November 13, 2018 (edited) Yes, Dan, you got it. 423 is the answer. It's your turn again, if you want to continue. Personally, I'm disappointed with the lack of interest. Where are all the science people? There must be none on here with any maths ability, and nearly all of these 'teasers' can be attempted with second level/high school maths knowledge. Edited November 13, 2018 by Ozymandias Link to comment Share on other sites More sharing options...
danydandan Posted November 13, 2018 Author #167 Share Posted November 13, 2018 11 minutes ago, Ozymandias said: Yes, Dan, you got it. 423 is the answer. It's your turn again, if you want to continue. Personally, I'm disappointed with the lack of interest. Where are all the science people? There must be none on here with any maths ability, and nearly all of these 'teasers' can be attempted with second level/high school maths knowledge. We both know it's our Irish education and it's obvious that people are not as smart as us Irish. Hehe. I'll stick to the pattern and sequence concept. Eh,,, ok. 11, 21, 35, x, 75. What is x. Link to comment Share on other sites More sharing options...
Ozymandias Posted November 14, 2018 #168 Share Posted November 14, 2018 (edited) On 11/13/2018 at 8:53 AM, danydandan said: We both know it's our Irish education and it's obvious that people are not as smart as us Irish. Hehe. I'll stick to the pattern and sequence concept. Eh,,, ok. 11, 21, 35, x, 75. What is x. Nobody is going to answer this so I will, again: 11 + 10 = 21 21 + 14 = 35 35 + 18 = 53 so X = 53 53 + 22 = 75 Edited November 14, 2018 by Ozymandias Link to comment Share on other sites More sharing options...
danydandan Posted November 14, 2018 Author #169 Share Posted November 14, 2018 5 hours ago, Ozymandias said: Nobody is going to answer this so I will, again: 11 + 10 = 21 21 + 14 = 35 35 + 18 = 53 so X = 53 53 + 22 = 75 Yeap, sorry Ozy I thought I replied earlier. Link to comment Share on other sites More sharing options...
Ozymandias Posted November 14, 2018 #170 Share Posted November 14, 2018 Let's call it a day. Thanks for the thread. Link to comment Share on other sites More sharing options...
danydandan Posted November 15, 2018 Author #171 Share Posted November 15, 2018 9 hours ago, Ozymandias said: Let's call it a day. Thanks for the thread. I'll keep posting anyways. Thanks for participating helped get me chemotherapy riddled brain working again. Link to comment Share on other sites More sharing options...
Ozymandias Posted November 15, 2018 #172 Share Posted November 15, 2018 (edited) 1 hour ago, danydandan said: I'll keep posting anyways. Thanks for participating helped get me chemotherapy riddled brain working again. Well, Dan, I just thought as it is your thread you might be thinking about wanting to stop due to no interest. I'm willing to continue if you are but there will be no pint either of us posing question to each other that come out of our own areas of expertise and employ advanced mathematical techniques. If we continue we should agree to keep the teasers relatively simple and always give a solution with a solution method that lurkers might like to see even if they don't feel confident to participate. I'm thinking second level school maths. PS - Sorry to hear that you seem to have had a major health issue. Do you mind if I ask what it was and how are you now? Edited November 15, 2018 by Ozymandias 1 Link to comment Share on other sites More sharing options...
danydandan Posted November 15, 2018 Author #173 Share Posted November 15, 2018 13 minutes ago, Ozymandias said: Well, Dan, I just thought as it is your thread you might be thinking about wanting to stop due to no interest. I'm willing to continue if you are but there will be no pint either of us posing question to each other that come out of our own areas of expertise and employ advanced mathematical techniques. If we continue we should agree to keep the teasers relatively simple and always give a solution with a solution method that lurkers might like to see even if they don't feel confident to participate. I'm thinking second level school maths. PS - Sorry to hear that you seem to have had a major health issue. Do you mind if I ask what it was and how are you now? I'll keep to a pass level Text and Tests level so. Lol. I'm going ok now, had cancer and all the crap that comes with it. Starting back at work after Christmas so I'm doing good thankfully. In all honesty my wife bor the brunt of it. 1 Link to comment Share on other sites More sharing options...
Ozymandias Posted November 15, 2018 #174 Share Posted November 15, 2018 (edited) 1 hour ago, danydandan said: I'll keep to a pass level Text and Tests level so. Lol. I'm going ok now, had cancer and all the crap that comes with it. Starting back at work after Christmas so I'm doing good thankfully. In all honesty my wife bor the brunt of it. Good to hear that, Dan, and, yes, the spouses have a lot to carry, as do the kids. It's great what they can do with cancer these days. Although it is a frightening and life changing disease they can cure most of them if caught early. PS - That level seems good to me. Edited November 15, 2018 by Ozymandias 1 1 Link to comment Share on other sites More sharing options...
Ozymandias Posted November 15, 2018 #175 Share Posted November 15, 2018 In a given population 57% are female; 62% are unemployed; and 44% are at least 40 years old. What is the probability that any person randomly chosen from this population will be an employed male under 40 years of age? Link to comment Share on other sites More sharing options...
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