







980 cubic yards of dirt 
20161217 

From Jondi: I am trying to visualize 980 cubic yards of dirt by using a metaphor.
Would this be the size of a car?
A fire engine?
A semitrailer?
How many trucks would you need to haul away 980 yards of dirt? Answered by Penny Nom. 





A schedule for 8 golfers over 5 days 
20151104 

From Ged: Hope you can help with the following to save next years arguments !
Schedule for 8 golfers playing as pairs in 2 X 4 balls on 5 days.
No player to pair same player more than once and to have played with each player
In the 4 ball.
Thanks. Answered by Victoria West. 





An 8 Team Basketball League Schedule 
20151028 

From Janice: We have an eight team league that play at four time slots each week. It's a seven week season. How do we schedule so that each teams plays each other at least once? Answered by Victoria West. 





Subtraction in base 8 
20151021 

From Adi: Hi!
Can you help me with a nagging problem, I searched a lot over the web and couldn't find it.
I saw this site I gave it a try and I found it to my liking.
I am confused how to subtract bases from other bases:
567 (in base 8)
 456 (in base 8)
______________
?????????
How do you do this? I do know how to carry and subtract with different bases. Can
you please help me?
Thanks,
Adi Answered by Penny Nom. 





An 8 team schedule 
20151019 

From Dean: I need an 8 team schedule for 2 time slots where 3 teams are on the ice per slot. I understand that there will be 2 teams on a bye per day. How do make sure that the byes are fair? Can you help me out? Answered by Victoria West. 





4 games in 4 time slots with 8 teams 
20151016 

From Paul: I'm trying to set up a game matrix for my kids that will have 4 games in 4 time slots with 8 teams. And every team is playing a different game in a different time slot. I provided the initial matrix and I am trying to ensure that no 2 teams play each other more than once. That's my problem.
8 pm 9 pm 10 pm 11 pm
Crokinole 1 vs 2
Trivial Pursuit 3 vs 4
Darts 5 vs 6
Pictionary 7 vs 8
Please help, I've been at it for hours. Answered by Robert Dawson and Victoria West. 





18 golfers playing four rounds 
20150909 

From Paul: I have 18 golfers playing four rounds. I want two 3 balls and
three 4 balls each day. I don't want anyone to play in a 3 ball
more than once and I don't want anyone to play with the same
person twice. I realise everybody can't play with everybody, I
just want the best you can do. Answered by Victoria West. 





A schedule for eight teams and four stations 
20150904 

From Joel: We are having a youth activity where we have eight teams and four stations. At each station there will be two teams competing against each other. We need each team to go through all four stations, but without ever competing against the same team, and, of course, without ever doing the same station twice.
If this possible? Thank you! Answered by Victoria West. 





A schedule for an 8 person team 
20150827 

From Julie: We have 8 people on our team, but only 4 can play every week. We have 32 weeks, total. How can we divide this so everyone plays evenly ? Answered by Robert Dawson. 





8 golfers playing 5 round 
20150611 

From Simon: We have 8 golfers playing 5 rounds, and want to make the pairings as even as possible (ie all play against everyone else)
2 of the players however must play together each day  due to a buggy being required.
If anyone has a formula to work this out I'd be appreciated Answered by Victoria West. 





An 8 pointed star inscribed in a circle 
20150410 

From Kermit: How do you find the area of the star that is formed by two squares and surrounded by a circle. The only given information is that the radius of the circle is 10. Answered by Penny Nom. 





8 golfers playing in 2x2 balls in 5 games 
20150318 

From Brian: We are 8 golfers who will be playing in 2x2 balls in 5 games.
is there a formula to minimize the chances of playing with a partner or opponent
too often please ? Answered by Victoria West. 





211basex=152base8 
20141215 

From Humaira: 211basex=152base8 Answered by Penny Nom. 





Building an 8 sided box 
20141014 

From Michael: I want to build an 8 sided box. The North, East, South, and West sides I want them to be 4 feet in length.
The NE, SE, SW, and NW sides I want to be 2 feet in length. What angles do I need to cut my angles.
Thanks Michael Answered by Penny Nom. 





211(base x)=152(base 8) 
20140909 

From Vaidehi: Find the base value (i.e. x):
211(base x)=152(base 8) Answered by Penny Nom. 





Revisiting 8 golfers in two foursomes 
20140819 

From steve:
I noticed you had an answer on how can you put 8 golfers in even foursomes over 7 games so that everyone plays with everyone equally. However the formula showed the following sequence that was used but did not go past the second day. Can you change the 0s and 1s into the numbers 1 to 8 instead. Here is what you have written:
Day 0 : (0, 0, 0, 0, 1, 1, 1, 1)
Day 1 : (0, 0, 1, 1, 0, 0, 1, 1)
Day 2 : (0, 1, 0, 1, 0, 1, 0, 1)
Day 3 : (0, 1, 1, 0, 1, 0, 0, 1)
Day 4 : (0, 0, 1, 1, 1, 1, 0, 0)
Day 5 : (0, 1, 0, 1, 1, 0, 1, 0)
Day 6 : (0, 1, 1, 0, 0, 1, 1, 0)
Thank you so much for your anticipated help.
Steve Answered by Harley Weston. 





4821x14y is an 8digit number divisible by 72 
20140806 

From RAYA: if 4821x14y is an 8digit number divisible by 72. How many values can x and y take? Answered by Penny Nom. 





18 golfers for 5 rounds with a teaching Pro 
20140514 

From Maree: We are taking 18 golfers on Tour with a teaching Pro. There are 5 rounds of golf and we want everyone to play with the Pro once, but everyone else to play with as many different people as possible Answered by Victoria West. 





Golf for 8 
20140505 

From Ivan: We have an eight member golf team. We field one foursome each week for 16 weeks of league play. How do I roate the eight members so each team member plays with each team member and all play an approximately equal number of times? Answered by Victoria West. 





Golf for 8 playing 7 rounds 
20140403 

From Evan: We are going on a golf trip to Scotland and are trying to work out the pairings. There are 8 of us playing 7 rounds. We would like to be partnered up in 2's with everyone once and have evenly split up foursomes. Thanks for the help Answered by Victoria West. 





A schedule for an 8 man golf team playing 4 each week 
20140401 

From Harold: We have an 8 man golf team and wish to schedule only 4 to play each week and to have each member play with one of the other 7 at least once.
What is the simplest method. Number of weeks could be up to 18 or so. Answered by Victoria West. 





8 golfers for 7 rounds 
20140311 

From Brian: We have 8 guys playing 7 rounds of golf.
We want to play with each player as a partner only once, sounds simple but i can not come up with the match ups beyond the first 4 matches.
I believe the numbers should work perfectly where each player can play with another as a partner only once each throughout the week.
Please help. Answered by Robert Dawson. 





8 team schedule over 7 days 
20140221 

From Andrea: I need to organize 8 teams.
Each team has to go through 8 games against another team, but not against the same as before. Answered by Victoria West. 





8 golfers, 11 rounds 
20140209 

From Clare: I am leading a group of 8 golfers who will be playing 11 rounds each
at the end of next month and have been tasked with coming up with
a schedule that allows, as close as possible, that has everyone playing
an equal number of rounds with each other. Do you have any suggestions? Answered by Penny Nom. 





Two teams of 4 playing 4 rounds of golf 
20130929 

From Tom: We would like to play a ryder cup format with two teams of 4 playing 4 rounds of golf. Three of the rounds would be pairs playing each other and one round would be singles. How can we set up the foursomes so we balance the number of times we play with every other golfer. Answered by Victoria West. 





8 numbers from 80 
20130904 

From susan: Out of 80 numbers how many combinations of 8 are there and what are they. Answered by Penny Nom. 





A schedule for 18 golfers 
20130829 

From Brian: After searching the data base which helped me solve at least 3 other issues I have one more un answered question. I have 18 golfers split into 6 threesomes for 4 days of golf. What is my best option for a schedule mixing them all up as much as possible over the course of the 4 days Answered by Victoria West. 





8 golfers playing 8 games 
20130703 

From Johan: We have 8 golfers playing 8 games, and we want to schedule them so that they play together equal amount of times, or as close as you can get to that.
They will be playing in two four balls each day.
Anyone sorted this one out yet, I will really appreciate a solution?
Thanks
Johan Answered by Victoria West. 





8 golfers, 3 rounds 
20130415 

From justin: I have 8 golfers going on a trip. We have 3 rounds to play.
We would like to play with everyone (with or against.) Is this
possible? If so could you send me the formula please and thank you! Answered by Robert Dawson. 





Golf for 18 for 18 weeks 
20130122 

From Al: We have 18 two man golf teams and we play once a week for 18
weeks. We need a formula to schedule these teams so that they play
each other one time only. Answered by Victoria West. 





Golf for 2 groups of 4 for six rounds 
20121121 

From Andy: You have very kindly responded to a couple of questions I asked previously and I have tried to find the answer to my current query on the various links etc. My question: There are 8 of us going on a Golf Tour and we will be playing 2 groups of 4 for six rounds of golf. Is there a suitable schedule that works to ensure everyone plays with each other the same number of times (or as close as possible). Many thanks again for your help. Answered by Victoria West. 





The square of any odd number, decreased by 1, is divisible by 8 
20121116 

From bailey: Prove that the square of any odd number, decreased by 1, is divisible by 8 Answered by Penny Nom. 





An 8 acre property 
20120725 

From Debra: My property is 280 feet wide and I have 8 acres how many feet in depth would make it 8 acres Answered by Penny Nom. 





Eight character words 
20120520 

From KiranReddy: i have a requirement that , i need to generate 8 digit word [mix of 26 small letters and 09 digits , both are repeatable]
Please give me the count of such words we can generate Answered by Penny Nom. 





Golf: 8 players over 4 days in 4balls 
20120503 

From JimB: I cannot seem to get this to work. Previous answers cover 2balls, but we are 4balls.
What we really want is for each player to play with each other, at least once and no more than twice.
Ideally, each would also play equally in the first and the second 4ball of the day. Answered by Victoria West. 





A golf league with 2 man teams 
20120411 

From Cosmo: wanting to set up a golf league with 2 man teams. There are 14 A players and 14 B players.We want each A player to team with each B player once and each A player to play against each other A player once.Is this possible Answered by Victoria West. 





Golf for 28 
20120410 

From EARL: HI, I HAVE 28 GOLFERS AND I NEED A SCHEDULE FOR
5 DIFFERENT DAYS THERE WILL BE 7 GROUPS OF
4 PLAYERS EACH DAY. ALL PLAYERS WOULD LIKE TO
PLAY WITH ONE ANOTHER ONCE AND NOT PLAY
WITH EACH MORE THAN ONCE IF POSSIBLE OR LIMIT
THE TIMES A GOLFER PLAYS WITH ANOTHER TO A
MINIMUM IF POSSIBLE. (PLEASE SEND AN EXAMPLE
OF THE SCHEDULING OF THE GROUPS FOR THE TEE
OFF ORDER)
THANKS FOR ANY SOLUTIONS YOU CAN PROVIDE.
EARL Answered by Robert Dawson. 





58 choose 4 
20110826 

From Jean: Using only the numbers 159, how many times would the
number 23 appear in combinations of 5 numbers?
... Can a list be provided as well?
Thank you very much,
Jean Answered by Penny Nom. 





16 golfers and 8 rounds 
20110526 

From Gerry: 16 golfers and 8 rounds. To have each player play with as many others as possible. Answered by Victoria West. 





8 golfers playing 2 groups of 4 each day for 5 days 
20110408 

From Chris: Hi,
8 golfers playing 2 groups of 4 each day for 5 days.
Trying to work out how they can organise playing at least once, and no more than twice, with everyone over the 5 days.
We always come up with someone playing 3 times with another in one of the 4's!
Hope you can help!
Regards. Answered by Victoria West. 





Two percent 
20091220 

From Brian: Hello I am having a problem figuring out something. Someone told me that .98 is the same as 2% how is this possible, how did they figure this out
here is my example 929.79 x .98 = 911.19, is the same as 929.79 x 2% = 18.59, now minus the 18.59 and you will end up with 911.19, how did they convert 2%
to .98, please help thgis is driving me nuts as I am not very good at math. Thank you
Warmest Regards
Brian Answered by Penny Nom. 





Oneeighth of one million dollars 
20091116 

From Jarrett: what is 1/8 equal to out of a million dollars. Answered by Penny Nom. 





Golf for 8 
20091010 

From Chris: I have a group of 8 golfers who will be playing three rounds,
What is the best formula so we can all try to play with different people
during the 3 rounds . Answered by Victoria West. 





Golfing with an unpopular golfer 
20090723 

From Ian: "We are a group of 8 golfers, one of whom is unpopular. How can we construct a schedule, of two foursomes, so that each person is scheduled to play with him the same number of times. What does the week by week schedule look like?" Answered by Robert Dawson and Victoria West. 





Eight golfers 
20090626 

From E: Hello,
We have a golf tournament. 8 players, 3 days, 2 fourballs per day.
How can each player play with each other no more than twice, and at least once?
Would like a speedy answer as we're going tomorrow!
Thank you Answered by Laura Morrison. 





28 teams 14 lanes , 9 weeks no repeats 
20090519 

From paul: 28 teams 14 lanes , 9 weeks no repeats Answered by Karen Meagher. 





The sum of the angles of a triangle 
20090518 

From mary: prove that the sum of the three angles inside any triangle always add up to 180 degrees? Answered by Harley Weston. 





A number puzzle 
20090517 

From Gita: Ok, we really need help for a homework problem due on Monday morning
I've been trying for 2 hours and can't figure it outif I can't I'm not sure
how my son can....We've been given a puzzle with the following rules:
The sum of each side must equal 15
We can only use the numbers 1,2,3,4,5,6,7, 8
A number can be used only once
(Hint: Think of all combinations of 3 numbers = 15)
The puzzle looks like this:
_____ _______ ______
_____ ______
_____ _______ ______ Answered by Penny Nom. 





Eight golfers, four days 
20090428 

From Billy: A golf Pairing question:
8 Golfers are Playing golf  one round per day
Four days of golf
(four twosomes) are paired each day to play
***No one can play with the same partner more than once
***Everyone must play with every other golfer in his foursome at least once
Is this possible? Answered by Robert Dawson. 





8 golfers in 3 rounds 
20090422 

From patrick: We have eight people, playing three rounds of golf. Would like to know the optimal pairings so that the most people can play with everyone. Thanks. Answered by Robert Dawson. 





A golf schedule for 18 teams 
20090421 

From laura: Could you help me form a golf schedule for 18 teams, playing a total of 8 weeks. Rotating the schedule each week so every team plays with a different team each week? I am using a shotgun format with 9 holes every week. Thank you for your input. Answered by Victoria West. 





28 golfers 
20090418 

From DON: HI, I HAVE 28 GOLFERS AND I NEED A SCHEDULE FOR 24 DIFFERENT DAYS
THERE WILL BE 7 GROUPS OF 4 PLAYERS EACH DAY. ALL PLAYERS WOULD LIKE TO PLAY WITH ONE
ANOTHER AS EVEN AS POSSIBLE (SAY 2 TO 4 TIMES EACH OVER THE 24 DAYS)...THANKS DON Answered by Victoria West. 





A golf trip for eight 
20090405 

From Stuart: 8 of us are off on a golf trip later this month. We are playing 4 rounds in fourball format.
Can we put together groups of four so that we play with each other at least twice? I have spent ages on this but can't get it to fit! Your help would be appreciated Answered by Chris Fisher. 





0123456789 
20090325 

From Dr.: Many years ago I discovered that there are 33 numbers which,
when multiplied by 0123456789, simply rearrange the digits. Surprisingly
(to me at least) is the fact that the digits of all of those 33 numbers add up
to one of the 6 "cardinal" numbers 1, 2, 4, 5, 7, and 8. For example
6 + 2 = 8 and 62 X 0123456789 = 7654320918 etc.
Another interesting (to me) fact is that only the cardinal numbers
1, 2, 4, 5, 7, and 8 rearrange the digits in the number 9876543210.
My question is: "Is this known to anyone but me and the people I have
told?" Answered by Robert Dawson. 





8 golfers, 5 rounds 
20090212 

From John: 8 of us are going on a golf trip next month. We are golfing 5 rounds. Is there any way that everyone can play with each other at least twice?
I have been trying to figure it out but it always seems that someone plays with another golfer only once. Answered by Chris Fisher. 





18 golfers and 5 rounds 
20090110 

From steve: We have 18 golfers 5 rounds .
Would like 3 foursomes and 2threesomes each day
Different groups each day. Answered by Victoria West. 





A remainder of 8 
20081202 

From Dawn: when dividing a 3digit number by a 1digit number, for what divisors can you get a reminder of 8 ? Explain Answered by Chris Fisher. 





28 golfers playing golf over 7 days 
20070320 

From ian: I have 28 golfers playing golf over 7 days
I would like everybody to play with each other at least once
Is there a schedule?
Thank you
Ian Answered by Penny Nom. 





A golf schedule for three days 
20060818 

From Jon:
I was wondering if I could trouble you to assist me with the following: I am working on a playing schedule for 28 golfers. 7 groups of 4. I have 3 golf days to schedule.
Ideally, I would like to schedule all 28 golfers in 7 different groups of 4 on each day. Here is the catch.....no golfer in any group can be grouped togther more than once. Every group of 4 each day will have 4 new golfers that have never played together before. Is this possible? Answered by Penny Nom. 





Golfing with 8 or 12 
20060213 

From Carolyn: I have a couple of questions that my dad asked me and I do not think it can be done in the manner he wants it to come out to.
He is going on a golf trip in June. There are going to be either 8 or 12 players playing 4 rounds of golf.
The questions that he says will not work and I do not know how to figure it out either is
4 Rounds of golf is for sure. 18 hole Rounds each
4 Players to a group
Either 8 or 12 players can every player play with every player in a group at least once during those 4 rounds.
If this can be done can you give me the combinations for both 8 and 12 , so I can help out my dad. Along with how you you figure this out. Answered by Penny Nom. 





Golfing with Sally 
20040819 

From Sally: We are a group of 8 golfers (2 foursomes) and want to golf 3 games together. How can we arrange it so that we all get to golf with each other at least once?
At another venue, we have 18 golfers (3 foursomes, 2 threesomes) and want to golf 6 games together. Same question, how can we arrange it so that we all get to golf with each other at least once? Answered by Claude Tardif. 





The "22" puzzle and the "1089" puzzle 
20040422 

From Marcelle:
1. Choose 3 digits from 19
2. Make all the 2 digit numbers you can from these (6)
3. Add the 3 original digits and divide them into the sum from step 2.
The answer is always '22'. I just can't understand why. Can you please help.
Another one related to this is it:
1. Choose a three digit number ensuring the first and third digit are differnt by at least two.
2. Make the reverse three digit number and subtract the smaller one from the larger of these.
3. Take this answer and reverse it and add these two 3 digit numbers .
eg:
643  346 = 297
297 + 792 = 1089
it doesn't matter what numbers are used, the results are alwasy the same. eg 22 or 1089
Answered by Paul Betts. 





The units digit of 57 to the 28th power 
20030901 

From Maria:
If 57 is raised to the 28th power, what must be the units digit in the result? If you raise 7 to the 500th power, what is the numeral that will appear in the units digit position? Answered by Penny Nom. 





8 squares from 12 sticks 
20021008 

From A student: If you have 12 sticks the same size, how do you make them into 8 squares? Answered by Claude Tardif. 





83.3% 
20011203 

From Ellie: Please explain how a percentage like 83.3% is changed into a fractions. The answer given is 5/6 and I changed 83.3% to a regular decimal of .833, which would be 833/1000. How do they get 5/6 from that? HELP Answered by Chris Fisher. 





1234567890 
20000914 

From Bradley Kloetzly: Can you find two whole numbers, with the smallest possible difference between them, which when multipled together equal: 1234567890? Answered by Harley Weston. 





Rule of 78 
20000322 

From Dan Baumgarten: Can you explain the rule of 78 and the reverse rule of 78? Thanks. Answered by Claude Tardif. 





Cutting a board into 8 equal pieces 
19991021 

From Brittany: Jamie wanted a board cut into 8 equal pieces. The Lucas Lumber Co. charges 60 cents for cutting a board into 4 equal pieces. How much will it charge for cutting Jamie's board? Answered by Claude Tardif. 





The sum of the angles of a triangle is 180 degrees 
19980219 

From Quin Liu: How do you prove that the sum of the angles of a triangle is 180 degrees? Is there a proof? what is it? Answered by Chris Fisher. 





800 poules pondent 800 oeufs en 8 jours 
20071217 

From LINDA: 800 POULES EN 8 JOURS PONDENT 800 OEUFS, COMBIEN 400 POULES
VONTELLES PONDENT D'OEUFS EN 4 JOURS? Answered by Claude Tardif. 

