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Maths Week: Your Sunday puzzle

Fancy another mathematics challenge? (And get the answer to yesterday’s puzzle.)

TODAY IS THE final puzzle we have for you this Maths Week… let us know in the comments how you’ve been doing with our puzzles.

Day eight - How long is a week?

Well, we take a bit of license with nine days when it’s Maths Week as there is too much activity to fit into seven days. This year over 500,000 people have engaged with Maths Week. Our purpose is to promote a positive attitude towards maths, so that people can succeed with it.

We hope you have enjoyed doing the daily puzzles. We hope also that we have given you some appreciation of how mathematical discoveries come about.

Mathematics arises from curiosity, intuition and collaboration and we have seen over the last week how recreational mathematics has given rise to really fruitful branches of maths. A lot of our modern world is built on such mathematics.

Hopefully too your brain has had a good workout. Doing puzzles improves memory, concentration, critical thinking and overall cognitive function. Visit the Maths Week website for more information and puzzles.

Have you time for a few parting puzzles?

  • If a clock takes five seconds to strike 6 o’clock, how long will it take to strike 12 o’clock assuming the same rate?
  • The hands on a clock are exactly aligned at 12 noon and again at 12 midnight. How many times in between these times will the hands be exactly aligned?
  • If it takes a person an hour and forty minutes to sweep the leaves from 100m of road, how long would it take two people to sweep 150m?
  • How many palindromic numbers, for example 02:20 and 12:21, are shown on the 24 hour-clock between 00:00 and 00:00 the next day?
  • A bath takes 6 minutes to fill with the cold tap. It will take 12 minutes using just the hot tap. How long would it take to fill with both taps running? 

Saturday’s puzzle: The answer 

1.

Magic Squares answer 1 (1) Eoin Gill Eoin Gill

2.  It is not possible to arrange 1,2,3,4 into a 2 by 2 magic square. Hopefully you did not spend too long trying!

3.

Screenshot 2023-10-22 18.05.05 Eoin Gill Eoin Gill

4.

Magic Squares answer 4 Eoin Gill Eoin Gill

5.

Magic Squares answer 5 Eoin Gill Eoin Gill

Come back tomorrow at 7.30pm for the answers to today’s puzzle. 

Compiled for The Journal readers by Eoin Gill and Prof Colm Mulcahy of Maths Week Ireland/South-East Technological University (SETU). Maths Week is sponsored by the Science Foundation Ireland Discover programme and the Department of Education, and is organised by Calmast at SETU.

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    Mute Peter J H
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    Apr 13th 2025, 8:00 AM

    What happened to parents providing a nice healthy lunch for the children and a dinner when they get home.

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    Mute Mary Linton
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    Apr 13th 2025, 8:14 AM

    @Peter J H: I only got to the line ‘ transforming the toxic food environment that surrounds our children’

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    Mute Michael
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    Apr 13th 2025, 8:15 AM

    @Peter J H: Many don’t ask and some can’t, which is why nutritious school meals are a good idea.

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    Mute sean weir
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    Apr 13th 2025, 8:32 AM

    @Peter J H: some can’t,the school dinner programme was running in the north when I went to school,some kids paid some couldn’t do the got it for free.
    You would have a hot 2 course meal every day.
    No chips ,
    No ultra processed foods .
    Just a good wholesome meal served by a very nice dinner lady :)
    What we could do years ago we seem unable to do today .

    37
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    Mute Colm O' Shea
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    Apr 13th 2025, 9:01 AM

    @sean weir: the Irish program is very different to the one you had by the sound of it. There is no canteen, all the meals are brought in and hot held until given to the kids or brought in cold and reheated. Nothing is made on site.
    Most schools dont have a decidecated eating space, so kids are eating at their desks.
    They are trying to provide this service to schools which don’t have the facilities that your school did

    26
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    Mute Dan The Man
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    Apr 13th 2025, 9:03 AM

    @Peter J H: because some children out there probably don’t see a single decent dinner from one end of the week to the next as their parents don’t care. Should the child be blamed and punished for that. As a caring society, we are obligated to try and help these children to give them a chance to grow up and achieve something. Only people out to look after number one would have an issue with it.

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    Mute Catherine Conlon
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    Apr 13th 2025, 9:14 AM
    1
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    Mute sean weir
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    Apr 13th 2025, 9:19 AM

    @Colm O’ Shea: I know I live in Cork :)
    just saying even with outside catering there is no reason for the menu to be so bad ,when they start this my smallie was in primary school,all chips and chicken nuggets,in the end she went back to pack lunches

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    Mute Colm O' Shea
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    Apr 13th 2025, 9:22 AM

    @sean weir: think they have adjusted it so it’s not as bad as nuggets and chips but was talking to a teacher yesterday and she was saying that most of her kids get plain pasta or rice (the option for picky eaters) and a ketchup sachet. Still not good but a step up from nuggets.
    Also was said that the amount of wastage is unreal, mainly because some parents are too lazy to opt out of the scheme if they don’t want it

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    Mute Karen Marten
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    Apr 13th 2025, 10:17 AM

    @Peter J H: this was not parents idea this. Was the department s , when it first came into my childs school she didn’t want to order anything because if she didn’t like she wouldn’t have anything else .so when I supplies her with a lunch roll I was told by her teacher to encourage the hot meals . You see the teachers got tasters of all on menu but not kids parent order for kid kid dosent like so had to supply back up lunch as before. Before you jump on the wagon about eat what thei given only certain lunches can be picked on certain days .and some kids will eat anything where some don’t.

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    Mute Karen Marten
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    Apr 13th 2025, 10:20 AM

    @Colm O’ Shea: and it’s utter crap most of the time so much so after bring implored to support the lunches by school principal ,now telling us not to order if childs not going to finish it.too much waste food going home . It’s the way it’s cooked re heated and dry

    6
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    Mute Karen Marten
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    Apr 13th 2025, 10:31 AM

    @Peter J H: what happened to parents feeding their kids a breakfast in morning .
    On new s.friday evening. 2 dublin schools complaining loosing funds for breakfast club kids comming to school hungry the can’t operate says the Principal, what parent can’t provide their kids a bowl of cereal before school . Shop own brand s so cheap now no excuse

    20
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    Mute George Bowling
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    Apr 13th 2025, 10:44 AM

    @Peter J H: exactly, cheese sandwiches did me just fine for 14 years of school, and other than the occasional dry heave at the very thought another poxy cheese sandwich to this day it did me no harm.

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    Mute MollyE
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    Apr 13th 2025, 10:57 AM

    @Peter J H: like every other issue in modern society schools have to step in as usual.

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    Mute Brian
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    Apr 13th 2025, 11:32 AM

    @George Bowling: Judging by your daily drivel, I’d say 14 years of cheese sandwiches have irrevocably damaged your brain.

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    Mute Wolfgang Bonow
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    Apr 13th 2025, 11:54 AM

    @Brian: But is he wrong?
    Parents “claim” to not be able to feed their kids – let’s investigate\check why this is, and if this is the actual truth.
    Google “Irish kids without breakfast” and you will find articles all the way back to the boom years talking about these issues. So, it cannot be a money problem, I would guess?

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    Mute Karen Marten
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    Apr 13th 2025, 5:52 PM

    @MollyE: exactly stick to teaching and. Leave kids to eat what they enjoy and fills them up more importantly

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    Mute john mounsey
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    Apr 13th 2025, 9:47 AM

    We shoulf be inspired by the Japanese school meals with fresh fruit and veg. no processed foods and practically no obesity.

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    Mute Karen Marten
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    Apr 13th 2025, 10:23 AM

    @john mounsey: these food companies are charging 2 euro an apple 2 euro a banana 1
    50 a slice of pineapple 2 euro a yogurt day light robbery

    30
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    Mute thomas molloy
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    Apr 13th 2025, 2:21 PM

    Whingeing about this ? Cheesy Margherita Pizza Served with Carrots & Peas
    Veggie Curry with Chickpeas & Fluffy Rice
    Wednesday
    Roast Turkey, Butternut Squash & Carrots, Mash & Gravy
    Mixed Veggie Rice with Quorn Chicken
    Chicken With Sweet Peppers & Tomato Sauce with Fusilli Pasta
    Cajun Spiced Chicken with Sweet Potato Wedges & Sweetcorn
    Mexican Chicken Burrito Tortilla with Roasted Peppers
    Roast Chicken, Peas & Sweetcorn, Mash
    & Gravy
    Beef Lasagne with Carrots & Peas
    Italian Beef Bolognaise Carrots & Fusilli
    Pasta
    Mild Thai Red Chicken Curry with Fluffy Rice & Broccoli
    Lentil and Sweet Potato Bolognaise with Fusilli Pasta
    Friday
    Roast Turkey, Sweetcorn & Carrots, Mash & Gravy
    Mega Yummy Chicken Curry, Peppers & Fluffy Rice
    Bombay Curry with Cauliflower, Butter Beans, Spinach & Potatoes

    8
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    Mute Eoin .h
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    Apr 13th 2025, 7:47 AM

    Remember when Israel would pretend they’d never bomb a hospital and would blame it on Hamas

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    Mute Thomas O'Brien
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    Apr 13th 2025, 12:08 PM

    @Eoin .h:
    Do they not get school meals in Gaza.

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    Mute John finn
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    Apr 13th 2025, 12:49 PM

    @William Jennings: sounds like you are working for IDF war criminals

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    Mute Deadman Walking
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    Apr 13th 2025, 10:01 AM

    We all agree that healthy food is extremely important from a young age however even more important is to instill a healthy lifestyle into children from school going age all the way up into their teens PE should be part of the curriculum five days a week This in the long term would mean a healthier population in the future and an enormous knock on effect regarding pressure on hospitals GPS and other medical services and less reliance on medication,it would also help reduce financial pressure on the state.

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    Mute Padraic O' Sullivan
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    Apr 13th 2025, 8:35 AM

    Couldn’t the kids have something similar to the children’s lunch option on the dail bar menu.
    Either that or the dail bar serves the hot meals program food ?
    https://thedailbar.com/menu-pages/

    17
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    Mute Maire Hicks
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    Apr 13th 2025, 9:31 AM

    @Padraic O’ Sullivan: we had a choice between corned beef or cheese sandwiches and a currant bun on Wednesday with a small carton of milk when I was a nipper and my secondary school eventually had a canteen with a small selection of food in the 90s, something that should be available today because alot of parents couldn’t be bothered or don’t have the time/money either way it shouldn’t even be a issue.

    17
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    Mute Martin Ryan
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    Apr 13th 2025, 12:10 PM

    @Padraic O’ Sullivan: That Menu is not for bar in the actual Dáil, it’s for a place called The Dáil Bar in Galway

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    Mute Lance Taylor
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    Apr 13th 2025, 6:34 PM

    @Padraic O’ Sullivan: free meals for all!!

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    Mute thomas molloy
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    Apr 13th 2025, 10:18 AM

    Teaching portion size is crucially important.

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    Mute Karen Marten
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    Apr 13th 2025, 10:06 AM

    How can hot meals improve . Well if the government insist on implementing them. Stop using processed re heated crap. And have staff employed by dept who have food safety and experience background and
    Choos 3 or 4 meal choices per day for parents to choose from and cook them on site in the school from.first thing in morning get prepping get cooking surely that’s the best way
    My childs school is getting their lunches delivered in a van pr cooked and re heated that’s no way to feed kids well .

    19
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    Mute The next small thing
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    Apr 13th 2025, 10:50 AM

    @Karen Marten: that’s all well and good if the school has a kitchen that meets food preparation standards. In reality we have around 3200 national schools, a lot of which are very small. For your suggestion to work we would need to build extensions on most schools then fit the kitchen out and then employ a chef and kitchen porter for each school, you would be looking at a cost of over 200 million per annum just on wages.
    In an ideal world your idea would be the way to go however you would need to close all small schools (mostly rural based) and that won’t be a runner, one of the problems of having a low density population

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    Mute Karen Marten
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    Apr 13th 2025, 12:26 PM

    The kids in school hand out lunches actually in oir school
    And the dept. Supplied ovens already to.schools they already have staff for doing the re heating and the hot boxes .to.deliver to classes Extension not necessary if kitchen already in place if not. The dept if they insist on using hot meals need to support the schools to make proper food it’s not that hard when you consider what school fees are covering . So of they need a.cooking area. Make.it hapen for them to feed the kids

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    Mute Karen Marten
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    Apr 13th 2025, 12:40 PM

    @The next small thing: or just dont use the school lunches

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    Mute Colm O' Shea
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    Apr 13th 2025, 3:25 PM

    @Karen Marten: it’s not feasible to produce food on site in every school, space is one issue.
    In terms of labour there is probably an hours work to regen for a school to prep and cook from scratch you are looking at around 4hours of higher skilled labour. Also the food isn’t magically going to get from the kitchen to the classes, so no labour saving there.
    While sounds great it’s unfeasible in 99% of schools

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    Mute Michael Grimes (Mike)
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    Apr 13th 2025, 12:00 PM

    75 ingredients in a chicken curry and rice? That’s insane.

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    Mute Thomas O'Brien
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    Apr 13th 2025, 9:58 AM

    This subject is getting boring now.

    9
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    Mute Maire Hicks
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    Apr 13th 2025, 10:44 AM

    @Thomas O’Brien: What would you like to talk about? I’ve just read elsewhere that our marvellous government have spent 1.6 Million on cars for the Ukrainian community out of the taxpayers pockets, more unnecessary waste of money ffs.

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    Mute Thomas O'Brien
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    Apr 13th 2025, 11:50 AM

    @Maire Hicks:
    Define elsewhere.

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    Mute Wolfgang Bonow
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    Apr 13th 2025, 12:01 PM

    @Maire Hicks: Source? Link?
    And please, not the drivel from some social media platform!

    3
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    Mute Maire Hicks
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    Apr 13th 2025, 12:18 PM

    @Wolfgang Bonow: gript media, I read and listen to different news sources like rte, bbc, sky, gript, the journal etc, reuters and I don’t Use Facebook or twitter (x).

    2
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    Mute Karen Marten
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    Apr 13th 2025, 12:39 PM

    @Maire Hicks: 1.6 million would build a lot of cooking kitchens in our schools .

    3
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    Mute Athena
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    Apr 13th 2025, 2:38 PM

    @Wolfgang Bonow: Per The Indo:

    Kevin Galvin
    Fri 11 Apr 2025 at 17:22

    The Irish Government spent an approximate €1.6 million in 2023 as part of a scheme to buy and lease cars for Ukranian refugees.
    In response to a parliamentary question from Independent Ireland TD Ken O’Flynn, the Department of Housing, Local Government and Heritage said that eight cars in total were purchased under the scheme, with the rest leased to those under Temporary Protection from Ukraine.

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    Mute Wolfgang Bonow
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    Apr 13th 2025, 4:44 PM

    @Athena: Thank you.
    I didn’t want to step on anyone’s toes – I just haven’t heard of it.

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    Mute Athena
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    Apr 13th 2025, 6:44 PM

    @Wolfgang Bonow: Oh, I know. I suppose the mainstream media double fact check everything before they publish.
    They have to be careful what/how they report if they want to keep their government support payments.

    3
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    Mute Deadman Walking
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    Apr 13th 2025, 9:54 AM

    We all agree that healthy food is extremely important from a young age

    7
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    Mute Wolfgang Bonow
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    Apr 13th 2025, 3:31 PM

    @Deadman Walking: …and it’s the parents job to provide it.

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    Mute S banter
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    Apr 13th 2025, 5:48 PM

    @Wolfgang Bonow: a lot of parents nowadays don’t know how to cook unfortunately. Not all thankfully, but a lot.

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    Mute John Smith
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    Apr 13th 2025, 4:12 PM

    How about using the money to fund the schools properly so they don’t have to ask for “voluntary” contributions every year.

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    Mute S banter
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    Apr 13th 2025, 4:46 PM

    You can do better by not having nasty chips, hash browns and poor quality sausages. Charging kids for that muck is a disgrace.

    1
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