
Tim Harford explains the numbers and statistics in the news and in life.
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Tim Harford
Hello and thanks for downloading the More or Less podcast with a program that looks at the numbers in the news, in life and in Premier League football. Hi, I'm Tim Harford. Occasionally you meet people who have minds, like calculators, prodigies, professors, Premier League footballers.
Rob Eastway
79,507. 500 what? 743.
Tim Harford
Yeah, that was Chelsea and England under 21 striker Liam de Lapp figuring out that the cube root of 79,507 is 43, which sounds hard. You may remember cubes and cube roots from school. 2 cubed is 2 times 2 times 2 or 8. The cube root is just reversing the procedure. The cube root of eight is two. Three cubed is three times three times three, that's 27. And so the cube root of 27 must be three. And yes, 43 times 43 times 43 is 79,507. Or as Liam Delapp would put it, the cube root of 79,507 is 43. And in case you think that was a fluke, here's another from Chelsea's Instagram feed.
Rob Eastway
778,688. Mate. Yeah, how. How'd you do it?
Tim Harford
Just Clever, isn't it? Yes. Yes, it is clever. So how's he doing it?
Rob Eastway
I'm all for mathematical geniuses and prodigies and stuff, but actually you don't have to be a maths genius to do this. You just need to have a little bit of memory.
Tim Harford
That's Rob Eastway. He's an author friend of the program and he knows a lot of cool maths tricks, which might just make him as smart as Liam Delapp. Let's have a go. See if you can do the same. Give me the cube root of 140,608.
Rob Eastway
Okay. I'm going to do that by a couple of amazing mathematical genius things in my head to say. The answer is going to be 52.
Tim Harford
Wow. Okay. So you can do it. Liam Delap can do it.
Rob Eastway
Yes.
Tim Harford
I can't do it. Am I missing something, Tim?
Rob Eastway
You can't do it yet.
Tim Harford
Okay.
Rob Eastway
You're going to be able to do this very soon.
Tim Harford
Growth mindset. I love it.
Rob Eastway
First of all, this trick that I'm going to explain to you only works for two digit numbers that are cubed. So the cube root is always going to be a two digit number.
Tim Harford
Right?
Rob Eastway
So there's two digits. We're going to have to work out here the first and second digit of the answer. So let's start with. With the first digit.
Tim Harford
Step one, memorise the cubes of all the numbers from 1 to 9.
Rob Eastway
So I've already told you, 3 cubed is 27. I mean, 1 cubed is 1, 2 cubed is 8 and so on. 4 cubed is 64. 5 cubed is 125. Those five are fairly easy to remember.
Tim Harford
6 cubed is 216.
Rob Eastway
Very good.
Tim Harford
Because it's dice.
Rob Eastway
I can do dice.
Tim Harford
Excellent. Seven cubed I'm not so sure about. Eight cubed is 512.
Rob Eastway
Correct. So you've only got two to learn because that's numbers.
Tim Harford
Right?
Rob Eastway
So seven cubed is 343.
Tim Harford
Okay. Seven cubed 343 and nine cubed, 729. Okay. I will try to. Actually, I'm gonna just write them down.
Rob Eastway
Yeah, sure, sure. Good.
Tim Harford
Okay. Right.
Rob Eastway
So one of the video clips shows Delap finding the cube root of 274,625. Now all you have to worry about for the first digit is the thousands. So 274. So what you do is say, okay, I know the list of cubes. What's the cube that's just below that?
Tim Harford
Right. So 216.
Rob Eastway
Correct. Which was what?
Tim Harford
Which is six cubes.
Rob Eastway
Right. Your first digit. Because it would be six.
Tim Harford
Okay. All right. So to find the first digit, you look at the numbers in the thousands and compare it to the cubes of the numbers 1 to 9. Take whichever cube is just smaller and trace it back to its cube root and that gives you the first digit. We had 274,625. So we look only at 274. The cube just below that is 216, which is the cube of 6. So 6 is our first number. That's a bit complex, admittedly, but luckily it gets easier.
Rob Eastway
Now for the second digit. Okay, now let's just take a little aside for a moment. Give me a number ending in four, a big number ending in four.
Tim Harford
Okay. 560,014.
Rob Eastway
Brilliant. Cubit. I'm joking. Okay, Because I don't care. I don't know the answer either. But I do know that the last digit is four. Because when you cube any number that ends in four, it's still four.
Tim Harford
Right.
Rob Eastway
When you cube any number that ends in five, guess what ends in five and six ends in six and seven ends in.
Tim Harford
I'm going to say. Not seven.
Rob Eastway
Correct.
Tim Harford
Because you, because you already told me that seven cubed is 343.
Rob Eastway
Exactly.
Tim Harford
So, but is it always three?
Rob Eastway
It's always three.
Tim Harford
Okay, right.
Rob Eastway
And three always ends in seven. So they kind of seven and three swap round and actually two and eight also swap round.
Tim Harford
Right.
Rob Eastway
So apart from those two, naught to nine, all just cube and ending themselves.
Tim Harford
So the message of this is that the last digit of a cube number is always going to be predictable.
Rob Eastway
Correct. And Delap's number was 274,625.
Tim Harford
Okay. Right. So it ends in five and. And it starts in six and it's a two digit number, so it's 65.
Rob Eastway
You're a genius. Or you've got a good memory, but I'm going to go with the first.
Tim Harford
Put me up front for Chelsea. That's what I'm saying. Does this tell us something deep about maths or is it just a clever little trick?
Rob Eastway
It's one of those little pathways into numbers and the beauty of numbers and the fact that we're spotting patterns. And if you're solving something really big and important, like Fermat's Last theorem, nice little thing to work on over the weekend. The way into it, the first step on that giant Everest of a journey is a little thing like this. Spotting a pattern and saying, maybe that helps. And it's rather beautiful. And it's a party trick.
Tim Harford
Love it. Let us turn to something else dear to Liam delap's heart, which is Premier League goals. He scores a few. And Rob, you made a prediction in a book that you published in 2019 about Premier League goals. Just remind us what it was.
Rob Eastway
Okay, so what I said was, here's a prediction. The number of goals in the Premier League next season will be 1000. Okay, it might be a few more than that, but it's probably right to within 5%.
Tim Harford
Okay, so to within 5% is between 950 and 1050. Were you right?
Rob Eastway
Well, it was all going very well until the 202223 season when the total goal record was broken and it was 1084. That was nothing compared to 202324 when the 1,246. We weren't even an amount. Yes.
Tim Harford
So what's happened is defenses got weaker, have attacks got stronger or something else going on.
Rob Eastway
Yep. Football has changed and in particular referees have changed. So the key thing is the 223 season is when the Qatar World cup happened. And I think it was as a result of that it became an international regulation that the.
Tim Harford
No one was allowed to touch me on a messi or what.
Rob Eastway
Yeah, well, no, they did. They just. Time wasting is a real problem. We must stop it. And therefore referees, you must be really tough on adding in time for not just injuries, but also things like goal celebrations and all these other things that take up time. So suddenly games became longer, quite a bit longer.
Tim Harford
The number of minutes that a ball is actually in play increased by about 6% from the 2022-23 to the 2023-24 season from about 55 minutes to just over 58. This probably can't explain the whole change. Football's a complex game and anything from changes in tactics to differences in player quality may well have had an effect. Indeed, the goals scored increased by about 15% season to season. So it does seem something else was going on. By the way, last season I checked, it was 11, 180 goals. And I'm curious, do you know how many of those goals were scored by Liam DeLap?
Rob Eastway
I don't.
Tim Harford
It was 12, which is approximately 1%. So pretty good going.
Rob Eastway
That is very impressive. And he was playing for Ipswich at the time, so even more impressive.
Tim Harford
Our thanks to Rob Eastway, author of Maths on the Back of an Envelope. If you have any questions or comments, please get in touch at More or less@bc.co.uk or we'll be back next time. And until then, goodbye.
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BBC Radio 4 | Host: Tim Harford | Date: February 7, 2026
In this lively episode, Tim Harford explores an unexpected mathematical talent in the world of Premier League football. The featured question: is striker Liam Delap secretly a maths genius, or can his headline-grabbing cube root "party trick" be learned by anyone? Author and maths enthusiast Rob Eastway joins Tim to break down the mental maths behind Delap’s feats, reveal the patterns at play, and discuss recent trends in Premier League goal tallies.
Introduction to the “Trick” (01:18–02:54)
“Just clever, isn’t it?” – Tim Harford (02:54)
Demonstration and Explanation (03:01–07:30)
Deeper Meaning or Party Piece?
Rob’s Prediction vs. Reality (07:52–09:09)
“That was nothing compared to 2023/24 when the 1,246. We weren’t even in the same amount.” – Rob Eastway (08:24)
What Changed? Regulation and Real Play Time
“Time wasting is a real problem. We must stop it ... So suddenly games became longer, quite a bit longer.” – Rob Eastway (08:48)
“Football’s a complex game and anything from changes in tactics to differences in player quality may well have had an effect.” – Tim Harford (09:17)
Liam Delap’s Contribution
“That is very impressive. And he was playing for Ipswich at the time, so even more impressive.” – Rob Eastway (09:54)
On Learning Maths Tricks:
On the Predictability of Cubes:
On the Broader Appeal of Maths:
On Football’s Changing Patterns:
| Time | Segment | |-----------|---------------------------------------------------------------| | 01:18 | Introduction to Liam Delap’s cube root trick | | 03:01 | Rob Eastway explains the cube root “party trick” | | 04:05 | Memorising cubes 1–9; first digit of the cube root explained | | 05:48 | Second digit trick and digit patterns for cubes | | 07:30 | Transition to Premier League goal statistics | | 07:52 | Rob’s goal prediction and recent record-breaking seasons | | 08:46 | Changes in football regulations and play time | | 09:49 | Delap’s goal tally and contribution |
Guests:
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Witty, inquisitive, and accessible—maths and football made fun for everyone.