Nice balance of questions :) A couple of comments about "y=mx+b":
1. it might be be clearer to ask "what does the m represent", since "stand for" sounds (to me, anyway) like the answer should begin with m.
2. Perhaps accept "gradient" as well as "slope".
And not to be nitpicky, but, well, to be nitpicky: the m in the hint should also be small, not capitalized. Great quiz though! Nice to have one for us math fans who are not quick with arithmetic.
Yes, please. This is the most difficult one for a non native speaker, because the naming is pure convention that doesn't translate and only very few of us will end up in everyday situations in which they will ever need it as a non native.
The average score on this quiz is 14, hhhmmm!!! I suspect a lot of people use Mr. Google as they are doing the quiz, or else the only people who have done it are Maths graduates/teachers.
No maths grad here and got 17/19. I didn't see anything beyond GCSE-level maths or general knowledge. (Apart from the quiz thumbnail image!) Guessed "Euclid" for "e" number and missed the 1 thru 100 summation (despite previously seeing comments in other quizzes on the Gauss series formula: sum = n(n+1)/2 with n=100 returns 5050 :o)
I frequently bemoan our American use of the word aluminum instead of the British aluminium which I find easier to say, but I think we have the easier version of our shortened form of mathematics. I think math is much easier to say than maths.
The only ones that were a bit tricky really were the e one, which I only knew because it was part of a question on Trivial Warfare recently, and the sum of the numbers 1 through 100. I didn't know the formula for that, but I reasoned the 1+100=101, 2+99=101, 3+98=101, etc., so I multiplied 101*50.
I've always liked when they give credit to people for figuring out some little pattern like that and millions of junior high school kids have on their own.
Which is why 180 is incorrect, since it should be 180 DEGREES. Please fix (and use the fancy round superscript character too) while you're at it. Thanks!
Please accept "base 2" instead of binary. I don't know if I am right, although Wikipedia suggests I am, but when I think of a numbering system, I think of base 2, but when I think of the results of the system, I think of a binary number.
In any event,base-2 is certainly a correct answer to the question you asked.
Seconds and hours are purely physical definitions. Thus this question has nothing to do with mathematics. While the same holds for the "meter", the relation between "centi" and "kilo" indeed relates to mathematics. Just said. Further, with the non-metric system used in parts of the world, it appears to be an accident that all countries use the same units of time. ;-)
I'm curious how you think someone would answer the question "How many seconds are in an hour?" without using math. True, you could just know it off the top of your head, but I think most people would say, "Okay, 60 minutes in an hour and 60 seconds in a minute, so the answer is 60 * 60."
I think s/he means that you can just as easily ask 'how many players are on a football team' or 'how many objects do you see in this image' and it would be the same sort of question i.e. arbitrary counting using definitions set by people as opposed to pure unadulterated unbiased 'mathematics'. Although I do agree with you, most people will use mental maths to solve this, so I'd say it's still fitting.
I suppose if you wanted to make it more obviously mathy (mathsy?) you could change it to "seconds in a day" or "seconds in a week" or something like that, because there are some people who just have the number of seconds in an hour memorized. Don't do "minutes in a year," though, because then it's definitely a music question, not a math question.
If you go down that road, you'll end up in a place in which none of the questions is really mathematics enough. After all, Pythagoras is just an old Greek dude and the formula would have worked no matter who discovered it. So it's a history question.
I enjoyed figuring out the question about the sum of the numbers from 1 to 100. However, I find it odd that there is another featured quiz today with the exact same question.
To find out the sum of all the numbers in any set that increases at regular intervals (eg., each number is 1 higher than the one before it, or each number is 5 higher than the number before it), just add the lowest and highest numbers, then divide by 2. Take your answer, and multiply it by the number of terms in the set. So, in this case, there are 100 numbers (or "terms"), increasing by 1 each time. Add the high and the low: 1+100=101. Divide by 2: 50.5 (this answer will also be the average of all the numbers in the set). Then multiply that number (50.5) by the number of terms in the set (i.e., 100). So, 50.5 x 100 = 5050.
An easy way to see the answer it to separate the sum into two parts:
1+2+...+50 100+99+...+51 then adding the terms two by two: 1+100 , 2+99, ..., 50+51 , one obtains 50 times 101 = 5050.
For those who keep saying 'm' means gradient, what country is that in? Because for me, a "gradient" (∇) is an operator whose result is a vector comprised of partial derivatives of the input function. But maybe that's just because I'm an engineer....
It's called gradient in the UK. I don't really understand that definition so it probably is because you're an engineer. They're different meanings of the word "gradient".
Either way it still works, since the gradient of a line would just be a one-dimensional vector of the slope itself (since the slope is the partial derivative).
I think you mean complex rather than imaginary. It may a translation issue; in French for instance, "imaginary numbers" are called "pure imaginary numbers" to distinguish them from "complex numbers", as those were originally simply called "imaginary numbers".
I agree with you, the 3 numbers can be described as real and complex. The hint is a bit confusing.
Did anyone else watch Donald in Mathmagic Land when they were in school? It's disconcerting that the things I remember most about math class came from Donald Duck.
Guessed "Euclid" for "e" number and missed the 1 thru 100 summation (despite previously seeing comments in other quizzes on the Gauss series formula: sum = n(n+1)/2 with n=100 returns 5050 :o)
180º
1+2+...+50
100+99+...+51
then adding the terms two by two: 1+100 , 2+99, ..., 50+51 , one obtains 50 times 101 = 5050.
I agree with you, the 3 numbers can be described as real and complex. The hint is a bit confusing.