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Maths Week puzzles: The Answers

Each day this week we’ve been tickling your brains with numerical teasers – here are the answers you’ve been waiting for.

EACH DAY THIS week we’ve been entertaining – or torturing – you with a maths teaser.

We haven’t been doing it out of sheer cruelty – all this week, libraries, colleges, universities and other groups have been running events to highlightmathsweek.ie and the practical benefits of basic numeracy skills to our everyday life.

And here are the answers you’ve been waiting for. Let us know how you did…

Monday’s puzzle: A cash collection was made around a room with everyone putting a note into a bag. People put in either a €20, a €10 or a €5 note.

I asked the collector how much was in the collection and he told me that if I pulled out a note at random that there would be a 1 in 12 chance of getting a €20 note. He said there would be a 1 in 4 chance of getting a €10 note and a 2 in 3 chance of getting a €5.

I protested that I needed more information. He conceded that four people had put in €20 notes and he refused to tell me any more.

Can you figure out how much money was in the bag?

The choices were:

  • €255
  • €360
  • €280
  • €325

Answer: €360

Tuesday’s puzzle: A teacher did a little survey of the pets her pupils had.

Half the children had a dog each and there were three times as many dogs as cats, three more goldfish than cats and two hamsters.

How many pets altogether?

The choices were:

  • 27
  • 52
  • 30
  • 25

Answer: 30 pets altogether – 15 dogs, 5 cats, 8 goldfish, 2 hamsters

Wednesday’s puzzle: You are travelling to Britain and you change €500 into Sterling. The exchange sells you Sterling notes at 0.76 £/€ and takes a £2 commission.

On your trip you spend half your Sterling, and when you return you change it back to euro at 0.79 £/€ and the exchange takes €3 commission.

How much are you left with in Euro?

The choices were:

  • €295.62
  • €240.51
  • €256.08
  • €236.24

Answer: €236.24

Thursday’s puzzle: I realised that I take around 60 seconds to brush my teeth and I’m in the habit of leaving the tap running. I measured that the tap will fill a 2 litre jug in 16 seconds. I decided to just allow the water to flow while I was rinsing the brush and my mouth. I could accomplish this in 10 seconds.

Assuming that I brush my teeth twice a day at home, how much water will I save in a year?

The choices were:

  • 3,874.75 litres per year
  • 2,757 litres per year
  • 3,230 litres per year
  • 4,562.5 litres per year

Answer: 4,562.5 litres = 4.56 m³

Friday’s puzzle: I found a piece of paper with the following list of numbers on it. The end of the note was torn off. What do you think the next number should be?

Answer: 11

These handy tips will help develop your child’s maths skills (without them knowing it)>

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    Mute George Grey
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    Aug 6th 2014, 1:55 PM

    Water water everywhere but not a drop to drink………

    82
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    Mute Romauld O'Falluin
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    Aug 6th 2014, 5:12 PM

    Tá siad ag teacht!

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    Mute Marc Walsh
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    Aug 6th 2014, 2:31 PM

    I just got back from the Aran Islands I don’t know how there is a water shortage everyone seems to drink alcohol

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    Mute Steve Hardy
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    Aug 6th 2014, 1:48 PM

    It’s just as well they don’t have flushing toilets out there

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    Mute Dermot Ryan
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    Aug 6th 2014, 2:00 PM

    Why? …. are you full of shit ?

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    Mute Dermot Ryan
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    Aug 6th 2014, 1:59 PM

    It seems the curse of John Tierney hasn’t left Galway yet ..figuratively speaking !

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    Mute Mike Chambers
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    Aug 6th 2014, 2:07 PM

    The lake is 10 – 15% salt water as far as I know.

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    Mute Steve
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    Aug 7th 2014, 12:05 AM

    That was the old lake

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    Mute George Grey
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    Aug 6th 2014, 1:58 PM

    And just how do they construe a situation whereby they have “depleted reserves” ……..what with all the rain lately and it also being a time when lots of visitors are expected to the islands you’d think……..awe. ….maybe not!

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    Mute Dermot Ryan
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    Aug 6th 2014, 2:01 PM

    the rainfall in the islands is much lower than inland because the clouds have to hit the cold air of the mountains first – The water cycle !

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    Mute L Connors
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    Aug 6th 2014, 3:20 PM

    Ferry good news.

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    Mute Eric Davies
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    Aug 6th 2014, 3:45 PM

    we were over that way last week staying in Doolin, it rained most of wednesday, hammered it down on thursday and didnt stop at all on friday , in fact the rain was that heavy the river went from being a couple of inches deep to nigh on 3 -4 ft deep by friday night . and it was all coming in from a seaward direction i.e. from over the islands.

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    Mute Declan Fitzsimons
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    Aug 7th 2014, 12:20 AM

    Eric, across the bay in Sunny Spiddal, about 28km as the crow flies, Wednesday and Thursday were glorious days, albeit it did piss on Friday.

    Dermot Ryan is correct, the Aran Islands and indeed quite a bit of coastal Connemara, experience less rainfall hours than most parts of Ireland. The annual insolation in these areas is on a par with Wexford.

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    Mute Cpm
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    Aug 6th 2014, 2:26 PM

    An bfhuil siad arais?

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    Mute Steve
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    Aug 6th 2014, 2:03 PM

    Odd that reserves are low on Inis Oirr. They got a new lake recently that should have catered for demand. Restrictions are 8pm to 8am so its not too bad

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