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Maths test - to think Civil Service have it wrong?

1000 replies

Sharingaroomtinightthen · 01/08/2025 21:58

I’ve just applied for a Civil Service test. Part of it is passing a numerical test.

This is the question.

The answer is 125%. I’m sure of it.

If you start with £100, and in the first year it doubles it’s £200. So at the of year one it’s £200.

In year two it trebles to £600.

It then falls by a quarter in the third year to £450.

So end of year 1 - £200.

End of year 3 - £450.

It’s increased by 125%.

125% isn’t an answer option.

WIBU to email and tell them they’ve got it wrong?

Maths test - to think Civil Service have it wrong?
OP posts:
Thread gallery
12
DeftShaker · 02/08/2025 08:49

DailyEnergyCrisis · 02/08/2025 08:46

Yes exactly- we are agreeing. I perhaps didn’t explain my point well. They are distinct.

I have maths A level, science degree and masters but it’s a long time ago- I was attempting to explain that % increase and % of are different. % doesn’t just mean % increase as suggested by a pp.

That isn't how I read pp's suggestion (as being limited to an increase).

DailyEnergyCrisis · 02/08/2025 08:52

DeftShaker · 02/08/2025 08:49

That isn't how I read pp's suggestion (as being limited to an increase).

Ah fair enough- it’s probably me misreading it and if that’s the case then she’s very obviously right.

InWalksBarberalla · 02/08/2025 08:52

@Samscaff - do you really teach maths using examples of buying and selling children - instead of say apples or pizzas. That's super dark.

miraxxx · 02/08/2025 08:54

DailyEnergyCrisis · 02/08/2025 08:46

Yes exactly- we are agreeing. I perhaps didn’t explain my point well. They are distinct.

I have maths A level, science degree and masters but it’s a long time ago- I was attempting to explain that % increase and % of are different. % doesn’t just mean % increase as suggested by a pp.

We are swimming against the current here. I swear to you that this thread would be done and dusted by the first 20 responses if it were posted in Singapore. We have loads of maths controversies posted yearly after the PSLE , a primary school national exam which has rather fiendish msths questions. This question is too standard/simple to run to 600 posts!

borntobequiet · 02/08/2025 08:54

Percentage increase is the actual increase as a fraction of the original amount, multiplied by 100 (to make it a percentage).

So (450-200)/200 =1.25, 1.25 x 100 =125

This makes it a valid comparator based on different start numbers.

MiaMaca · 02/08/2025 08:55

lucertola28 · 01/08/2025 22:50

Perfectly explained with a mathematical formula.

Obviously it is up to you OP what answer you give and if you email them.

Might be worth trying to think less rigidly and trying to understand how they are giving a different answer than you expected.

That can be a beneficial mindset to have rather than I'm definitely right, they're definitely wrong.

Maybe you could highlight to them that some of their questions were not worded as well as possible and were left open to interpretation.

😂

no

Is this a my truth your truth mindset? 😆

Samscaff · 02/08/2025 08:55

InWalksBarberalla · 02/08/2025 08:52

@Samscaff - do you really teach maths using examples of buying and selling children - instead of say apples or pizzas. That's super dark.

Yes. Children like super dark things. They compete to invent new price rules for their classmates.

miraxxx · 02/08/2025 08:56

Tatty247 · 02/08/2025 08:49

I agree OP.

The answer would be 225 if it was from the beginning, but it's from the end of the first year so it's 125.

Nope. The answer would be 350% if it was from the start.

DeftShaker · 02/08/2025 08:56

InWalksBarberalla · 02/08/2025 08:52

@Samscaff - do you really teach maths using examples of buying and selling children - instead of say apples or pizzas. That's super dark.

They actually get some really solid results at Trump-Epstein U.

EasternStandard · 02/08/2025 08:58

I think this needs to be known. If you email them can you update op

TheFrendo · 02/08/2025 08:59

They ask for an increase from end of first year. I think it is 125% too.

End of first year was 200, end of third year was 450. The increase was 250, but as a % of of 200, this is 125.

miraxxx · 02/08/2025 09:00

Samscaff · 02/08/2025 08:49

Exactly. I have taught this to ten-year-olds many times. To make it more interesting I often tell them I’m selling some of them.

"Normally I would sell Josh for £10, but today there’s a sale at my shop, with 10% off all boys. What am I selling Josh for today?" Answer: "Today Josh costs 10% less than he did yesterday. Yesterday he cost £10 so today he costs £10 less 10% of that. 10% of £10 is £1, so we take that off the original price and today he costs only £9."

"Normally I would sell Olivia for £10 too, but today the price of all girls in my shop has increased by 150%. 150% of £10 is £15, so we have to add that much onto the original price. So today Olivia would cost £25."

Ten-year-olds normally grasp the concept of percentage increases and decreases pretty quickly.

@Horsie , if you think any of this is incorrect, please tell me exactly what.

I am so relieved to learn that primary school kids are actually learning this. Might come in useful in a slave trading career.

InWalksBarberalla · 02/08/2025 09:00

Samscaff · 02/08/2025 08:55

Yes. Children like super dark things. They compete to invent new price rules for their classmates.

I'm hoping your average 10 year old doesn't know why people buy children.

Bgasfraudfraud · 02/08/2025 09:02

I am standing with 450% at this point. Final answer 😂

Samscaff · 02/08/2025 09:08

InWalksBarberalla · 02/08/2025 09:00

I'm hoping your average 10 year old doesn't know why people buy children.

Good lord.

DailyEnergyCrisis · 02/08/2025 09:09

miraxxx · 02/08/2025 08:54

We are swimming against the current here. I swear to you that this thread would be done and dusted by the first 20 responses if it were posted in Singapore. We have loads of maths controversies posted yearly after the PSLE , a primary school national exam which has rather fiendish msths questions. This question is too standard/simple to run to 600 posts!

Absolutely!

miraxxx · 02/08/2025 09:11

InWalksBarberalla · 02/08/2025 08:49

Well i thought so too before I read this thread - they clearly aren't clear and distinct concepts to everyone!

It is quite shocking to be honest. How do people make sense of the world as percentage change is used to explain many financial and non-financial changes around us?

TakeMeToAnIgloo · 02/08/2025 09:12

It doesn't help that the media gets maths/percentages/percentage points wrong a lot of the time too.

Another similar issue that people get confused about is reverse percentages, and percentage points. There was a lot in the media a while back when VAT was raised from 17.5% to 20%, and media sources saying that the prices you pay would rise by 2.5%, and then actually giving examples of this based on finding 2.5% of the price on the tag and showing illustrations of what the new price would be! (E.g., something priced on the price tag currently at £94, wouldn't go to £96.35 [94x1.025], but rather just to £96 [1.2 x 94/1.175]). Not wrong by a lot of money in the sorts of low-value examples they were showing, but wrong in the principle of it. (And wrong by large amounts of money if you looked at something very high-value!). There were lots of people trying to explain why it was wrong, but it continued to be shown like that.

FairKoala · 02/08/2025 09:13

You are taking a test to work for the Civil Service.

Understand what that really means.
The type of person that works for the Civil Service

The correct answer is in this case is 225%

Anything else makes you incorrect and unsuitable for the Civil Service.

Jacopo · 02/08/2025 09:15

TiggyTomCat · 02/08/2025 08:42

eg....
1st year 100% increase = 50 newspapers to 100 newspapers
2nd year it trebled 100 = 300 newspapers
3rd year fell by 1/4 of 300 = 225 newspapers
Therefore ...225/100 x100 = 225%

Wrong. You have missed a step. To get the percentage INCREASE, that is to say the amount of extra newspapers you are selling, you must subtract the original number from the final number.
225-100=125
You then express that as a percentage of the original,
125/100 X 100 =125%

BigFatLiar · 02/08/2025 09:17

(450/200)*100=225
450 end value
200 initial value

borntobequiet · 02/08/2025 09:19

BigFatLiar · 02/08/2025 09:17

(450/200)*100=225
450 end value
200 initial value

You have left out the “increase” bit - the difference between the original and the end amount.

Samscaff · 02/08/2025 09:21

miraxxx · 02/08/2025 09:11

It is quite shocking to be honest. How do people make sense of the world as percentage change is used to explain many financial and non-financial changes around us?

They don’t understand what they’re being told. Mind you, "official" figures are often carefully phrased to put the best spin on them.

Many years ago I spent a long time trying to explain to a member of a sales team that if the price of the product increased from £2 to £3 that was a 50% rise and not, as she maintained, a 33.3% rise. She finally reluctantly accepted that I was right, but then couldn't see why, if we reduced the price back to £2, that wasn’t then simply a 50% decrease…

Sunshineandgrapefruit · 02/08/2025 09:23

It's 225. 200 x 2.25= 450

theodozya · 02/08/2025 09:23

FairKoala · 02/08/2025 09:13

You are taking a test to work for the Civil Service.

Understand what that really means.
The type of person that works for the Civil Service

The correct answer is in this case is 225%

Anything else makes you incorrect and unsuitable for the Civil Service.

It is, of course, highly likely that this test was procured from the private sector.

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