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Maths question - Civil Service is wrong (we now have 100% more threads about the subject)

434 replies

Sharingaroomtinightthen · 02/08/2025 13:36

When I posted late last night I thought I’d get maybe half a dozen replies confirming the question didn’t have the correct answer and advising whether to tell the Civil Service recruiters. But here we are 1000 posts later.

https://www.mumsnet.com/talk/am_i_being_unreasonable/5384347-maths-test-to-think-civil-service-have-it-wrong

Maths question - Civil Service is wrong (we now have 100% more threads about the subject)
OP posts:
Thread gallery
7
SerendipityJane · 03/08/2025 18:34

Hollowvoice · 03/08/2025 18:24

Mornington Crescent

Parklife !

poetryandwine · 03/08/2025 18:36

TeenToTwenties · 03/08/2025 18:30

Would this be a good place for me to prove that 2 = 1 ?

Suppose a = b
Then a^2 = ab
And a2 - b2 = ab - b^2
factorise (a-b)(a+b) = b(a-b)
divide by common factor a+b = b
So if a=1, then b=1 (see the start)
thus 1+1=1 so 2=1. Grin

A classic

SerendipityJane · 03/08/2025 18:36

TeenToTwenties · 03/08/2025 18:30

Would this be a good place for me to prove that 2 = 1 ?

Suppose a = b
Then a^2 = ab
And a2 - b2 = ab - b^2
factorise (a-b)(a+b) = b(a-b)
divide by common factor a+b = b
So if a=1, then b=1 (see the start)
thus 1+1=1 so 2=1. Grin

divide by common factor a+b = b

Divide by zero error

TeenToTwenties · 03/08/2025 18:37

SerendipityJane · 03/08/2025 18:36

divide by common factor a+b = b

Divide by zero error

shhhh. Don't spoil the fun! Grin

Slimtoddy · 03/08/2025 18:43

So what are the maths experts on here saying? I have not read whole thread.

TeenToTwenties · 03/08/2025 18:43

Slimtoddy · 03/08/2025 18:43

So what are the maths experts on here saying? I have not read whole thread.

125%.

poetryandwine · 03/08/2025 18:56

Slimtoddy · 03/08/2025 18:43

So what are the maths experts on here saying? I have not read whole thread.

125% no doubt about it

niadainud · 03/08/2025 19:14

Merryoldgoat · 03/08/2025 14:28

You remind me of the comment ‘somewhat fudged’ that my lovely A-Level maths teacher wrote below an absolute travesty of a trigonometry problem I absolutely mullered.

I wrote pages of nonsense as I didn’t understand what I was doing.

I wrote pages of nonsense as I didn’t understand what I was doing.

Well you're in good company on this thread, then.

Rainydayinlondon · 03/08/2025 20:37

SerendipityJane · 03/08/2025 15:40

Not every correct answer has a box ....

I don’t understand what you mean…
what I was trying to say is that an online multiple choice exam won’t have the scope for you to write in an alternative answer (125% in this case)

SerendipityJane · 03/08/2025 21:07

Rainydayinlondon · 03/08/2025 20:37

I don’t understand what you mean…
what I was trying to say is that an online multiple choice exam won’t have the scope for you to write in an alternative answer (125% in this case)

real life doesn't always have check boxes 😀it's a philosophical point.

Tryingtokeepgoing · 03/08/2025 21:24

Slimtoddy · 03/08/2025 18:43

So what are the maths experts on here saying? I have not read whole thread.

Unfortunately there are 2 threads, in which roughly 80 of posters have been extremely keen to demonstrate just how poor their comprehension, mathematics and understanding of percentages is 😂 But, the answer is 125%, which is not one of the answers available. Which is where this all started 😊

NoCommentingFromNowOn · 03/08/2025 21:39

poetryandwine · 03/08/2025 12:51

TBF the very first number at the beginning if Y1 is 100. I don’t recall any quantity of 50 however

@poetryandwine @niadainud

I think the ‘start at 50’ comes from me. A lot of posters were saying ‘imagine at the end of the first year you have 100’ so I said ‘imagine at the end of the first year you have 50’ because you then start the sum by doubling it, ie you now start with 100. In trying to make it simpler for people to understand, I thought 100 was a nice easy number and easier to visualise.

But it went fecking wrong. Again.

Yes, it’s 125%.

I know there are no ‘numbers’ in the question, it is just easier for some people to have actual numbers.

RedDoorBlueHouse · 04/08/2025 00:12

Supperlite · 03/08/2025 14:00

I’m not great at maths so this is a genuine question. I don’t get how we got to 125%. I think it’s 150%. Can someone explain why the below is wrong?

Year 0-1 produces the “amount”. Let’s call it A.

Year 1-2 doubles A, therefore A increases by 100%

Year 2-3 trebles A, therefore A increases by 200%

Year 3-4 reduces A by a quarter of A. A is 200% therefore reducing it by a quarter would reduce it by 50% to 150%. So the answer is 150%.

I wanted to try and point out exactly where you went slightly wrong.

Year 3-4 reduces A by a quarter of A.
A is 200% (A is NOT 200% at this point, in your last point you said A has just had a 200% INCREASE (tripling), which was preceded by a 100% INCREASE (doubling) . This means A is now 600% of its original value, so reducing by quarter will take it to 450% of its original value)

And the question is what is the increase between the time when A is 200% of its original value and when it is 450% of its original value.

200% to 450% is a 125% INCREASE.

ConnieHeart · 04/08/2025 10:24

Slimtoddy · 03/08/2025 18:43

So what are the maths experts on here saying? I have not read whole thread.

I asked 2 maths teachers. One said 50% and the other said 450%. I asked the 2nd one to rtfq and he cane back with 125% 🤣

jensondolally · 04/08/2025 10:29

ConnieHeart · 04/08/2025 10:24

I asked 2 maths teachers. One said 50% and the other said 450%. I asked the 2nd one to rtfq and he cane back with 125% 🤣

My DH who has a maths degree and works in finance initially said 225. I, who is fine with day to day maths but only has a lowly C grade GCSE, said 125. DH then looked at it again and admitted I was right 😂

Tandora · 04/08/2025 10:36

YABU for starting a new thread. You are just showing off now OP 😂

BrickBiscuit · 04/08/2025 12:05

Supperlite · 03/08/2025 14:00

I’m not great at maths so this is a genuine question. I don’t get how we got to 125%. I think it’s 150%. Can someone explain why the below is wrong?

Year 0-1 produces the “amount”. Let’s call it A.

Year 1-2 doubles A, therefore A increases by 100%

Year 2-3 trebles A, therefore A increases by 200%

Year 3-4 reduces A by a quarter of A. A is 200% therefore reducing it by a quarter would reduce it by 50% to 150%. So the answer is 150%.

You are over-complicating it. You have a figure at the end year 1, year 2 and year 3. They are all different, so no point calling them all 'A'. Taking the start of year 1 as 100%, the figures are 200%, 600% and 450%. You are asked for the percentage increase from 200 to 450. 450-200 (that's 250, the difference between them) is 125% of 200.

BrickBiscuit · 05/08/2025 08:04

@Supperlite sorry for being careless, but I should have said 'no point calling them all proportions of A' in my previous reply (instead of 'calling them all A').

BrickBiscuit · 05/08/2025 08:21

@SerendipityJane I showed this to a mathematician friend. They are also a multilinguist, high level chess player, sportsman and much travelled (don't worry - face like a potato and likes Trump). The wording was genuinely puzzling to them, and they didn't reach a definitive conclusion yet. They immediately went to algebra. We didn't have a pen handy, and that was their first request. I think there is something about the wording, maybe lots going on at once, that makes a simple calculation seem complex.

Supperlite · 05/08/2025 08:23

@BrickBiscuit @DadDadDad @TeenToTwenties @RedDoorBlueHouse

Thanks all! I’ve been contemplating your replies. It has taken a few days of thinking (literally…), but I think I finally understand. I wasn’t sure how you determined the methodology to answer the question; I think I found it confusing to know how to answer it because the question refers to percentages, which sound like (from the wording) each increase (doubling then trebling) is its own little individual percentage packet, if that makes sense, but the methodology to find the answer is more like using algebra (in my head, anyway).

Another confirmation, perhaps, that I should stick to my day job! 😂

Thanks again.

InWalksBarberalla · 05/08/2025 08:42

BrickBiscuit · 05/08/2025 08:21

@SerendipityJane I showed this to a mathematician friend. They are also a multilinguist, high level chess player, sportsman and much travelled (don't worry - face like a potato and likes Trump). The wording was genuinely puzzling to them, and they didn't reach a definitive conclusion yet. They immediately went to algebra. We didn't have a pen handy, and that was their first request. I think there is something about the wording, maybe lots going on at once, that makes a simple calculation seem complex.

That's so strange. I gave it to my 12 year old, fairly average at math, son and he got the right answer in his head. It's really not complex.

SerendipityJane · 05/08/2025 08:58

BrickBiscuit · 05/08/2025 08:21

@SerendipityJane I showed this to a mathematician friend. They are also a multilinguist, high level chess player, sportsman and much travelled (don't worry - face like a potato and likes Trump). The wording was genuinely puzzling to them, and they didn't reach a definitive conclusion yet. They immediately went to algebra. We didn't have a pen handy, and that was their first request. I think there is something about the wording, maybe lots going on at once, that makes a simple calculation seem complex.

There are plenty of "subtle" tests that are not what they seem. Or that can deliverer .... interesting results.

Any "Taskmaster" fans reading ?

Fen476 · 05/08/2025 08:59

In the quantum theory of multiverse maybe there is a universe where the answer is 225%?

SerendipityJane · 05/08/2025 09:07

Fen476 · 05/08/2025 08:59

In the quantum theory of multiverse maybe there is a universe where the answer is 225%?

Are you American ?

BrickBiscuit · 05/08/2025 10:15

InWalksBarberalla · 05/08/2025 08:42

That's so strange. I gave it to my 12 year old, fairly average at math, son and he got the right answer in his head. It's really not complex.

It is strange. I am only of average intelligence, not advanced in maths, but 'saw' it straight away.