Transum Mathematics Puzzles
http://www.transum.org/podcast
enus
© 2014 John Tranter
A monthly update of developments at Transum Mathematics
John Tranter
This Transum podcast features a puzzle of the month as well as information about everything new on Transum Mathematics. Look for the latest episode of the podcast in the iTunes Store
This Transum podcast features a puzzle of the month as well as information about everything new on Transum Mathematics. Look for the latest episode of the podcast in the iTunes Store
John Tranter
john@Transum.org
clean

Cube in Milk
John Tranter
A puzzle about a cube being lowered into a bucket of milk
http://www.transum.info/podcast/TransumPodcast201408.mp3
Fri, 1 Aug 2014 19:00:00 GMT
9:44

Torch Tunnel
John Tranter
A puzzle about four people making their way through a tunnel with just one torch
http://www.transum.info/podcast/TransumPodcast201409.mp3
Mon, 1 Sep 2014 19:00:00 GMT
14:41

Halloween Bases
John Tranter
Why is halloween like Christmas?
http://www.transum.info/podcast/TransumPodcast201410.mp3
Wed, 1 Oct 2014 19:00:00 GMT
14:45

Chased by a Bear
John Tranter
The classic what colour is the bear directions puzzle with a twist.
http://www.transum.info/podcast/TransumPodcast201411.mp3
Sat, 1 Nov 2014 05:00:00 GMT
14:38

Twelve Days of Christmas
John Tranter
A timehonoured traditional Christmas song provides a puzzle with a very professionally sung answer.
http://www.transum.info/podcast/TransumPodcast201412.mp3
Thu, 27 Nov 2014 03:00:00 GMT
13:46

Biased Coin
John Tranter
A mathematical question asked by Microsoft and Google interviewers.
http://www.transum.info/podcast/TransumPodcast201501.mp3
Mon, 5 Jan 2015 08:00:00 GMT
7:56

Enigma Vowels
John Tranter
A coding question inspired by the film The Imitation Game.
http://www.transum.info/podcast/TransumPodcast201502.mp3
Tue, 3 Feb 2015 08:00:00 GMT
6:03

The Birthday Problem
John Tranter
What is the probability of two or more pupils in a class having the same birthday?
http://www.transum.info/podcast/TransumPodcast201503.mp3
Mon, 2 Mar 2015 02:00:00 GMT
9:44

Best Dice
John Tranter
Which of the unusual dice would you choose to give you the best chance of winning the prize?
http://www.transum.info/podcast/TransumPodcast201504.mp3
Wed, 1 Apr 2015 07:00:00 GMT
8:55

Alphanumbetical
John Tranter
Questions about the letters used to make the natural numbers.
http://www.transum.info/podcast/TransumPodcast201505.mp3
Mon, 4 May 2015 07:00:00 GMT
6:43

Unfinished Game
John Tranter
If the coin tossing game was cut short how would you share the winnings?
http://www.transum.info/podcast/TransumPodcast201506.mp3
Fri, 29 May 2015 04:00:00 GMT
9:19

Three Mathematicians
John Tranter
How can the third mathematician be so certain that everyone wants a drink?
http://www.transum.info/podcast/TransumPodcast201509.mp3
Tue, 1 Sep 2015 08:00:00 GMT
7:21

Bookworm
John Tranter
How far does the bookworm travel on its mealtime journey?
http://www.transum.info/podcast/TransumPodcast201510.mp3
Wed, 30 Sep 2015 09:00:00 GMT
6:40

Ant and Dec
John Tranter
What single question could Dec ask Ant to find out what he is thinking?
http://www.transum.info/podcast/TransumPodcast201511.mp3
Tue, 3 Nov 2015 07:00:00 GMT
7:05

The Power of Christmas
John Tranter
A question about indices to get you thinking mathematically at this festive time of year.
http://www.transum.info/podcast/TransumPodcast201512.mp3
Wed, 3 Dec 2015 07:00:00 GMT
7:10

Ticks, Tocks, Tacks and Tucks
John Tranter
Find how ticks compare to tocks, tacks and tucks from the given information.
http://www.transum.info/podcast/TransumPodcast201601.mp3
Thu, 7 Jan 2016 07:00:00 GMT
8:33

The Missing Pound
John Tranter
Where did the missing pound go in this story about three people visiting a restaurant?
http://www.transum.info/podcast/TransumPodcast201602.mp3
Tue, 2 Feb 2016 07:00:00 GMT
6:52

Two Prime Squares
John Tranter
What is the smallest square number (greater than one) that cannot be expressed as the sum of two prime numbers?
http://www.transum.info/podcast/TransumPodcast201603.mp3
Tue, 4 Mar 2016 07:00:00 GMT
11:17

TriJunction Puzzle
John Tranter
What is the probability of the three cars arriving at the road junction not being involved in an accident?
http://www.transum.info/podcast/TransumPodcast201604.mp3
Fri, 1 Apr 2016 07:00:00 GMT
8:17

Square Angled Triangle
John Tranter
The angles of a triangle are all square numbers. What are they?
http://www.transum.info/podcast/TransumPodcast201605.mp3
Tue, 3 May 2016 07:00:00 GMT
8:00

Letters In Numbers
John Tranter
A brand new puzzle involving the letters in numbers when written as words.
http://www.transum.com/podcast/TransumPodcast201606.mp3
Thu, 2 Jun 2016 07:00:00 GMT
7:52

Divisible By Three
John Tranter
A puzzle about two digit numbers that can be made from ten different digits.
http://www.transum.com/podcast/TransumPodcast201607.mp3
Fri, 1 Jul 2016 07:00:00 GMT
8:06

Separated Twins
John Tranter
Work out the combination of the safe given the clues about pairs of numbers.
http://www.transum.com/podcast/TransumPodcast201609.mp3
Fri, 2 Sep 2016 07:00:00 GMT
7:07

Canteen Queue
John Tranter
Is it possible to answer the question if Betsy's age is not known?
http://www.transum.com/podcast/TransumPodcast201610.mp3
Fri, 30 Sep 2016 10:30:00 GMT
10:14

Central Station
John Tranter
The probability that the next train to leave will be going north is five times the probability that the next train to leave will be going south. How can that be?
http://www.transum.com/podcast/TransumPodcast201611.mp3
Tue, 1 Nov 2016 08:00:00 GMT
6:22

Last Digit
John Tranter
How many positive twodigit numbers are there whose square and cube both end in the same digit?
http://www.transum.com/podcast/TransumPodcast201612.mp3
Thu, 1 Dec 2016 02:00:00 GMT
11:47

Jumping Flea
John Tranter
How many different places could the flea find itself after 8 footlong jumps either north, south, east or west?
http://www.transum.com/podcast/TransumPodcast201702.mp3
Tue, 17 Jan 2017 08:00:00 GMT
10:19

Holy Sphere
John Tranter
Calculate the remaining volume of the sphere after a cylindrical hole has been drilled through the centre.
http://www.transum.com/podcast/TransumPodcast201703.mp3
Mon, 27 Feb 2017 08:00:00 GMT
11:15

Cake Cut
John Tranter
Where should the last slice of cake be cut to give two equal pieces?
http://www.transum.com/podcast/TransumPodcast201704.mp3
Fri, 31 Mar 2017 01:00:00 GMT
12:59

Exam Average
John Tranter
What mark is required in the last exam to achieve an 80% overall average?
http://www.transum.com/podcast/TransumPodcast201705.mp3
Fri, 30 Apr 2017 01:00:00 GMT
12:35

Brothers and Sisters
John Tranter
Can you work out the number of children in the Numlove family given the clues about brothers and sisters?
http://www.transum.com/podcast/TransumPodcast201706.mp3
Thu, 1 Jun 2017 01:00:00 GMT
11:58

Regions in Circles
John Tranter
Calculate the number of regions in a circle formed by intersecting chords.
http://www.transum.com/podcast/TransumPodcast201707.mp3
Fri, 30 Jun 2017 11:11:00 GMT
9:32

Odd Probability
John Tranter
What is the probability that two random numbers are both even if they are not both odd?
http://www.transum.com/podcast/TransumPodcast201708.mp3
Mon, 31 Jul 2017 20:11:00 GMT
14:24

Permutations Sum
John Tranter
What is sum of all the four digit numbers containing all of the digits one to four?
http://www.transum.com/podcast/TransumPodcast201709.mp3
Fri, 1 Sep 2017 01:11:00 GMT
12:17

Juggling with Egg Timers
John Tranter
Can you time exactly nine minutes using the four and seven minute egg timers?
http://www.transum.com/podcast/TransumPodcast201710.mp3
Sun, 1 Oct 2017 01:01:00 GMT
11:08

Counting Sheep
John Tranter
Work out the number of sheep owned by Percy and Patsy from the given clues.
http://www.transum.com/podcast/TransumPodcast201711.mp3
Wed, 1 Nov 2017 01:01:00 GMT
12:54

Transposition Error
John Tranter
Work out the bank balance given information about the transposition error.
http://www.transum.com/podcast/TransumPodcast201712.mp3
Fri, 1 Dec 2017 00:01:00 GMT
10:04

Shrivelled Spuds
John Tranter
Work out the weight of the potatoes after they have been left out in the sun to dry.
http://www.transum.com/podcast/TransumPodcast201801.mp3
Mon, 8 Jan 2018 00:50:00 GMT
6:36

Forty Five In Four Parts
John Tranter
Split the number 45 into four parts according to the given information.
http://www.transum.com/podcast/TransumPodcast201802.mp3
Thu, 1 Feb 2018 00:05:00 GMT
9:27

The Missing Pound's Found
John Tranter
A really wonderful answer to the missing pound puzzle.
http://www.transum.com/podcast/TransumPodcast201803.mp3
Thu, 1 Mar 2018 00:05:00 GMT
13:22

Cutting the Lawn
John Tranter
Aynuk and Ayli cut half of the lawn each. How long is each side of the square lawn?
http://www.transum.com/podcast/TransumPodcast201804.mp3
Sun, 1 Apr 2018 00:05:00 GMT
12:56

London Marathon
John Tranter
A question about the average speed required for the second half of the marathon.
http://www.transum.com/podcast/TransumPodcast201805.mp3
Tue, 1 May 2018 00:05:00 GMT
18:28

Square in a Rectangle
John Tranter
What is the largest square that can be drawn in the corner of a 10cm by 15cm rectangle that does not cross the diagonal of the rectangle?
http://www.transum.com/podcast/TransumPodcast201806.mp3
Fri, 1 Jun 2018 00:05:00 GMT
8:10

Five integers with a product of 12
John Tranter
Can you find five integers that multiply together to give twelve?
http://www.transum.com/podcast/TransumPodcast201807.mp3
Sun, 1 Jul 2018 00:06:00 GMT
5:32

Delightfully Divisible
John Tranter
Find a pandigital number that is delightfully divisible.
http://www.transum.com/podcast/TransumPodcast201808.mp3
Mon, 30 Jul 2018 00:07:00 GMT
7:56

Clock in the Mirror
John Tranter
What time was the clock in the mirror really showing?
http://www.transum.com/podcast/TransumPodcast201809.mp3
Sat, 1 Sep 2018 00:00:01 GMT
11:00

Average House Numbers
John Tranter
Work out the house numbers from the clues about the mean, median and mode.
http://www.transum.com/podcast/TransumPodcast201810.mp3
Mon, 1 Oct 2018 00:00:01 GMT
8:12

Calculator Keys at the Corners of a Rectangle
John Tranter
What do the four digit numbers typed into a calculator using four keys at the corners of a rectangle have in common?
http://www.transum.com/podcast/TransumPodcast201811.mp3
Thu, 1 Nov 2018 00:00:01 GMT
10:04

Choir Eye Colour
John Tranter
Figure out the percentage of choir members that do not have blue eyes from the clues given.
http://www.transum.com/podcast/TransumPodcast201812.mp3
Fri, 30 Nov 2018 01:00:01 GMT
8:20

4Digit Hotel Room Safe Code
John Tranter
Can you work out what number I used to lock and unlock my hotel room safe?
http://www.transum.com/podcast/TransumPodcast201901.mp3
Tue, 1 Jan 2019 01:00:01 GMT
9:41

Prime Permutations
John Tranter
Of all the permutations of 1 to 9 used to make ninedigit numbers, how many are prime?
http://www.transum.com/podcast/TransumPodcast201902.mp3
Fri, 1 Feb 2019 01:00:01 GMT
12:50

Radio Riddle
John Tranter
Solve the riddle heard on the radio involving modular arithmetic.
http://www.transum.com/podcast/TransumPodcast201903.mp3
Fri, 1 Mar 2019 06:00:01 GMT
13:07

Feed the Horses
John Tranter
Calculate the number of days worth of horse feed that are left for Obadiah Sloop.
http://www.transum.com/podcast/TransumPodcast201904.mp3
Mon, 1 Apr 2019 00:00:01 GMT
10:31

Monkeys, Kittens and Dogs
John Tranter
A riddle about the person most likely to be able to work out the square root of 121.
http://www.transum.com/podcast/TransumPodcast201905.mp3
Wed, 1 May 2019 00:00:01 GMT
10:32

Puzzles, Riddles and Conundrums
John Tranter
A puzzle (or riddle) about Percy who seems to age very quickly from 13 to 16.
http://www.transum.com/podcast/TransumPodcast201906.mp3
Sat, 1 Jun 2019 00:00:01 GMT
14:08

Arrow in Square
John Tranter
What fraction of the square does the arrow cover?
http://www.transum.com/podcast/TransumPodcast201907.mp3
Mon, 1 Jul 2019 07:00:01 GMT
10:20

CarrotEating Critters
John Tranter
How many of each type of animal shared the 20 carrots?
http://www.transum.com/podcast/TransumPodcast201908.mp3
Thu, 1 Aug 2019 07:00:01 GMT
10:53

Percy Cod's Kids
John Tranter
How old are Percy's children given the ratio of their ages now and in ten years' time?
http://www.transum.com/podcast/TransumPodcast201909.mp3
Sun, 1 Sep 2019 01:00:01 GMT
9:50

Coaches to Cambridge
John Tranter
Figure out which coach I was sitting in when I travelled by train to Cambridge last summer.
http://www.transum.com/podcast/TransumPodcast201910.mp3
Tue, 1 Oct 2019 01:00:01 GMT
13:42

Multiple Remainders
John Tranter
Find the second smallest number that satisfies the given conditions about remainders.
http://www.transum.com/podcast/TransumPodcast201911.mp3
Fri, 1 Nov 2019 01:00:01 GMT
12:25

Noel in Lapland
John Tranter
Work out the length of Noel's trip to Lapland given the details of the weather conditions.
http://www.transum.com/podcast/TransumPodcast201912.mp3
Sun, 1 Dec 2019 01:00:01 GMT
7:25

Odds from evens up to 2020
John Tranter
Subract the sum of the odd numbers less than 2020 from the sum of the even numbers less than 2020.
http://www.transum.com/podcast/TransumPodcast202001.mp3
Thu, 1 Jan 2020 01:00:01 GMT
8:19

AweSum, Flabbergasted and a Puzzle from Carl
John Tranter
Carl's puzzle is about the result of dividing the product of his parents' ages by double his own age.
http://www.transum.com/podcast/TransumPodcast202002.mp3
Sat, 1 Feb 2020 01:00:01 GMT
12:34

Balancing Balloons
John Tranter
How many balloons must Jamie give to Ben to balance the balloon equation?
http://www.transum.com/podcast/TransumPodcast202003.mp3
Sun, 1 Mar 2020 01:00:01 GMT
8:40