







A dice game 
20190317 

Remo pose la question : So, little game my kid came up with.
Dice are standard d6.
I roll a die, he rolls a die. If he gets the same number as me OR a bigger number he wins.
So far so good. Used the opportunity to get him to calculate the probabilities of him winning, see if I could get him interested into looking at this game from a more academic perspective. He did fine.
Then we upped the ante.
He rolls one die, I roll two dice. I his die has a number that is equal or greater than both of mine, he wins.
We had a bit of trouble solving that one, and had to resort to a table with all the results ( 6x36) to figure out where we stood.
Then again we upped.
He rolls two dice, I roll two dice.
If any one of his dice has a number equal to or greater than both of mine he wins. I only win if one of my dice is greater than both of his.
And we got stuck. Figured I would need to find a formula to resolve this one, as our earlier solution ( table everything ) suddenly is 36x36, giving well over a thousand possible results. And if we ever go bigger than that then we *really* are going to need another way to calculate it. Harley Weston lui répond. 





The bearing from C to A 
20190315 

Emma pose la question : A is 6km due north of turbine B,
C is 4.5km due west of turbine B
Calculate the distance AC
Then calculate the bearing of C from A
Give your answer correct to the nearest degree Penny Nom lui répond. 





When is John's next birthday on a Friday? 
20190315 

Darek pose la question : The question is the following:
Last Friday 4th of April of 2014 John was 40 years old. How old will John be the next time when his birthday fell on Friday?
Thanks for your help Penny Nom lui répond. 





Four consecutive positive integers 
20190312 

Nabila pose la question : The product of four consecutive positive integers in 24024
What is their sum? Penny Nom lui répond. 





A circle with a circular hole 
20190311 

Sue pose la question : My little one is wondering if a circle with a circular hole could be described as an irregular semicircle.
As it has 2 sides but is not the standard shape. Could you share your thoughts ?? Penny Nom lui répond. 





Converting a base six number to base three 
20190310 

Nina pose la question : Change 253 in base 6 to a number in base 3 Penny Nom lui répond. 





A parabolic curve on a bridge 
20190309 

monica pose la question : how do i fint the formula for my parabola with the provided information:
the golden gate bridge has a parabola
(343,160) = coordinate
(0,0)= vertex Penny Nom lui répond. 





A triangle of maximum area 
20190307 

Tom pose la question : Triangle ABC is such that AB=3cm and AC=4cm.
What is the maximum possible area of triangle ABC? Penny Nom lui répond. 





Misuse of greater than 
20190307 

Kenneth pose la question : I have an old business mathematics textbook. The authors have indicated that the following expressions indicate multiplication:
? is 2/3 greater than 90; ? is 2/3 smaller than 90. They also indicated that the following expression would indicate division: 30 is 2/3 greater than ? and 30 is 2/3 smaller than ?.
How can these phrases indicate multiplication and division? How can 60 be 2/3 greater than 90 and also smaller than 90 as indicated above. What were the authors thinking? I have added the page from the book that indicates what I have explained in my message
Kenneth Harley Weston lui répond. 





Random assignments 
20190302 

Ninoshka pose la question : Liu and Michi plan to sign up for a drawing class next term.
Drawing is offered during the first 4 periods of the day, and students are assigned randomly to class.
What is the probability that Liu and Michi will have drawing together? Penny Nom lui répond. 





3 months loss and then a profit 
20190302 

Ida pose la question : Let say, I have 10k of capital and I ran business for 4 months.
The first months i loss 50%, the second month i loss 50% and so do the third month.
The fourth month my profit is 50%
So can I calculate the balance of money that i have out of my capital? Penny Nom lui répond. 





Double the number of pennies each week 
20190228 

Donald pose la question : If I save a penny a week,double it every week,How many weeks will it take to reach 1,000,000 dollars Penny Nom lui répond. 





The top half of a cone 
20190227 

danica pose la question : What portion of the height from top that the cone be cut into two equal volume? Penny Nom lui répond. 





4 digit codes 
20190227 

Sophia pose la question : How many 4 digit codes can you get out of a numbered key pad ? Penny Nom lui répond. 





A quadratic equation problem 
20190226 

Em pose la question : One root of the equation
2x^2 + bx  24 = 0 is 8. What
are the possible values of b and
the other root? Penny Nom lui répond. 

