







The area of a triangle 
20190319 

From Dylan: The area of a triangle is 108in squared. A base and corresponding height
are in the ratio 3:2. Find the length of the base and the corresponding
height Answered by Penny Nom. 





A dice game 
20190317 

From Remo: 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. Answered by Harley Weston. 





The bearing from C to A 
20190315 

From Emma: 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 Answered by Penny Nom. 





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

From Darek: 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 Answered by Penny Nom. 





Four consecutive positive integers 
20190312 

From Nabila: The product of four consecutive positive integers in 24024
What is their sum? Answered by Penny Nom. 





A circle with a circular hole 
20190311 

From Sue: 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 ?? Answered by Penny Nom. 





Converting a base six number to base three 
20190310 

From Nina: Change 253 in base 6 to a number in base 3 Answered by Penny Nom. 





A parabolic curve on a bridge 
20190309 

From monica: 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 Answered by Penny Nom. 





A triangle of maximum area 
20190307 

From Tom: Triangle ABC is such that AB=3cm and AC=4cm.
What is the maximum possible area of triangle ABC? Answered by Penny Nom. 





Misuse of greater than 
20190307 

From Kenneth: 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 Answered by Harley Weston. 





Random assignments 
20190302 

From Ninoshka: 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? Answered by Penny Nom. 





3 months loss and then a profit 
20190302 

From Ida: 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? Answered by Penny Nom. 





Double the number of pennies each week 
20190228 

From Donald: If I save a penny a week,double it every week,How many weeks will it take to reach 1,000,000 dollars Answered by Penny Nom. 





The top half of a cone 
20190227 

From danica: What portion of the height from top that the cone be cut into two equal volume? Answered by Penny Nom. 





4 digit codes 
20190227 

From Sophia: How many 4 digit codes can you get out of a numbered key pad ? Answered by Penny Nom. 

