Came up with this today while having a bath, I just changed numbers so its easier. Enjoy!

John filled up a bucket with volume 10,000 cm^3 with water to have a bath. However, by accident, he fills it up with water at 60 degrees Celsius, far too warm. Instead, he wants the water to be 30 degrees.

So, he uses a cup with volume 400 cm^4 to scoop out water and simultaneously fills the bucket conyinuously with water using a tap which has a flow rate of 100 cm^3 per second and the water from tap is 10 degrees Celsius

Assuming that the water from the tap immediately mixes completely with the water in the bucket such that the water immediately becomes a uniform temperature, how many times should John scoop out water using the cup and with what frequency for the fastest time for the water in bucket to reach 30 degrees.

If possible could you also explain a bit on how you solved it? I'm a high schooler, just did basic differentiation and I suspect this involves either integration or differential equations or both.

Thanks!!

Hi, I'll be going into Y12 in Sep, and wnt some info abt which textbooks to buy. Im doing

Maths - Edexcel

Further Maths - Edexcel (I think we're doing further pure 1 and mech 1 but im not sure)

Chemistry - OCR A

Physics - OCR A

Currently Im planning to get the following :

https://preview.redd.it/0ols4r920rgh1.png?width=388&format=png&auto=webp&s=4caa4c68d2706c26c868c7a65975bbd3adc26071

https://preview.redd.it/7b9rrys60rgh1.png?width=303&format=png&auto=webp&s=ae18ddf868394747ad137334f35df1d103fb2626

https://preview.redd.it/ouuze5z60rgh1.png?width=366&format=png&auto=webp&s=5051b2f7b642dc006453d7d3345062cfd30aae4a

https://preview.redd.it/v9hr1gc80rgh1.png?width=377&format=png&auto=webp&s=3c95432213955a1773e129640030c120d81b3054

https://preview.redd.it/39xwla790rgh1.png?width=332&format=png&auto=webp&s=d92c9ee641aba46b362863f7d4ca40722da41519

Are these fine, and also should I get the Pearson Practice books or CGP Practice books or is the normal textbooks enough?

Thx. Also I know I can get them online for free, but I like having the physical books and they arent that expensive anyways.

Hi, im in y11 rn going into y12 in September. Im aiming for data science DAs or maybe some cybersecurity ones in defence/govt depending on what the course is. I don't rlly want to do regular tech and programming DAs, id rather go to uni if I don't get anything in want .

I got work experience from capgemini and oracle, did some programming in the Oracle one, lots of ai stuff in that. Ill probably get 1 or maybe 2 in y12, depending on how lucky I am, so do I really need more than 3? There's a generic tech work experience opening up and idk whether to do it just for the application.

I also got a job as a tutor now, so should I get as much work experience as possible or focus on projects now?

Hi, I'm a y11 going into y12 in September, and I want to apply to COMPOS but I didn't do it last year, so the entrance test is pretty hard lol.

If anyone did COMPOS or Quantum club can you please share what it was about and whether you found it fun/useful. I will def apply for compos but idk whether quantum club is worth it cuz while I like physics alot, im not gonna be doing physics in uni.

Btw I will be doing Maths FM Physics and chemistry.

Thanks

Hi, I'm a y11 going into y12 in September, and I want to apply to COMPOS but I didn't do it last year, so the entrance test is pretty hard lol.

If anyone did COMPOS or Quantum club can you please share what it was about and whether you found it fun/useful. I will def apply for compos but idk whether quantum club is worth it cuz while I like physics alot, im not gonna be doing physics in uni.

Btw I will be doing Maths FM Physics and chemistry.

Thanks

Hi, I'm a y11 going into y12 in September, and I want to apply to COMPOS but I didn't do it last year, so the entrance test is pretty hard lol.

If anyone did COMPOS or Quantum club can you please share what it was about and whether you found it fun/useful. I will def apply for compos but idk whether quantum club is worth it cuz while I like physics alot, im not gonna be doing physics in uni.

Btw I will be doing Maths FM Physics and chemistry.

Thanks

Ill be entering y12 in this September and I dont really have any competition wins so far, and I absolutely hate doing competitive programming. Ive got cool projects in ML and cellular automata and I'm sure by the time I apply I will have other things to talk about too, but I really dislike stuff like leetcode, codeforces and stuff like that.

Is compsci not for me, should I do maths instead? Idk what to do. I'm not bad at coding, I got USACO silver and was just 1 case off a gold last time so im pretty sure I can get it now, but I just really cannot be asked to go through these stupid problems again.

Hi, i want to do either maths or computer science at uni so I want to get a gold and qualify for olympiad. Ill be going into y12 in Sept btw

I got a silver in my last smc in y11. Is Art of Problem Solving books good for SMC or should I just spam past papers.

Also how do I get started with olympiad prep? I can write basic proofs like in the math and fm content-contradiction, contrapowirive, induction, strong induction and wop. What resources should I use for that

Any help, advice or resources will be appreciated.

Thx

Hi, i want to do either maths or computer science at uni so I want to get a gold and qualify for olympiad. Ill be going into y12 in Sept btw

I got a silver in my last smc in y11. Is Art of Problem Solving books good for SMC or should I just spam past papers.

Also how do I get started with olympiad prep? I can write basic proofs like in the math and fm content-contradiction, contrapowirive, induction, strong induction and wop. What resources should I use for that

Any help, advice or resources will be appreciated.

Thx

Im a year 11 student and in the uk, means I won't be with most of my current teachers, so I wanted to make them something special as a thank you.

I will write each of them cards for sure, but I also had another idea of making a mechanical heart or star writing tool which when you place a pen and turn a knob, it wod draw the shape on a piece of paper. I thought it would be quite cool. However it needs a special pen like a ultraviolet sharpie tp reduce friction on the paper.

Would any of you actually use this? What other gifts would you appreciate?

Thanks

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Hi, I'm a high schooler going through Mathematics for Computer science course on MIT OCW. Would you please read my proof, help verify/check whether it makes sense or if there are any improvements as far as writing style goes.

Problem :

Suppose Q(x) is a predicate defined for all x ∈ R. Assume that Q has the following property: for every x, y ∈ R, if Q(x · y) is true, then at least one of Q(x) or Q(y) must be true.

From this, prove that Q satisfies the following stronger property: for any integer n ≥ 1 and any n numbers x1, x2, . . . , xn ∈ R, if Q(x1 · x2 · . . . · xn) is true, then at least one of Q(x1), Q(x2), . . . , Q(xn) must be true.

Prove the result by induction on n. Be sure to carefully identify your inductive hypothesis P(n), your base case(s), and the assumption and goal in your inductive step.

Hi, I am a high schooler who is going through Mathematics for computer science course on Open Learning Library and OCW. Is there any way I can find answers to problem sets, in class questions or warm-up questions?

I see that on Open Course Ware there are 4 versions of the course : 2005,2010,2015 and 2024.

Only 2005 has problem set answers, and only 2010 has recitation problems and answers.

On Open Learning Library, there are problem sets, but no answers.

Can someone please highlight if there is enough difference between the courses that I will not be able to do problem sets, and if there are published problem set solutions for the course on Open Learning Library? Currently I am using the lectures by Dr Zachary Abel in the 2024 course.

Thank You.

Hi all, I'm a high school student looking for an IT, Data Center or networking internship or work experience. I have 2 versions of this resume, one for IT and data center technician jobs and one for software and computer science side of things. Below is the IT resume. I wanted to ask a couple questions :

1. I have other experience, like a web development and SEO business, an online tutoring business where I teach computer science and programming amongst others, a ML research internship with a masters student where I basically just did data collection and processing. USACO gold, awards etc. should I add all of these for the IT internships or is it not neccessary.

2. Any feedback for the bullet points, should I give tech stack for the app and give programming languages? I am most familiar and confident with Python.

3. Should I scrap the volunteering portion or is this still valuable?

4. Non-related, but should I also cold email researchers, do you think they will allow me to help them? The ML research internship was gained because I attended a uni open day with my sister lol and I somehow chatted up a ML student for 40 minutes straight until he let me help.

Below is my resume. Id really appreciate it if you could give me some advice.

https://preview.redd.it/w8edw7hvtb5h1.jpg?width=2481&format=pjpg&auto=webp&s=026ee90b775ccf72441e00f99f91a0b2b780b132

https://preview.redd.it/lndhxi4wtb5h1.jpg?width=2481&format=pjpg&auto=webp&s=e88aa38dba00c2a8ed7d34bdfb0121f47c4536c5

Kitchen Assistant Role + Kitchen Porter + Waiter.

For kitchen porter and assistant, I just add a line about cleanliness and hygiene in the top.

IT support, Data center Technician Jobs - This is what I really want.

CV for retail jobs like sales assistant

Hi all, I'm a high school student looking for a part time job. Im fine with literally any job whatsoever, even cleaning toilets, warehouse, labouring anything. Above are 3 examples of CVs that I used, I have a couple of questions :

1. Which format/Template is better? 1 and 3 or 2?

2. Should I talk about technical stuff - i have others like a web dev business, online tutoring on the side, awards, research for other roles? I thought it would be better to not add them.

3. Any improvements regarding bullet points/the summary?

Thanks.

I've been rejected from well over 20+ spots rn for part time summer jobs. Ik I have no experience but I rlly thought I would have some luck by now. I've been looking at retail, hospitality, sales, waiter, tutoring literally everything i'm eligible for.

I've got volunteering experience, club lead and work experience at a tech company. What other kind of jobs would be suitable, any tips to stand out? I literally saw 100+ applications on linkedin for a local retail job, which basically means I have no shot whatsoever.

I've been tailoring a CV and Cover letter in each job, any idea on how to make some money? Babysitting and Lawn Mowing and the like aren't really options for me, there are no lawns near me and I'm horrible with kids and scared of dogs!

Any suggestions or advice would be appreciated, Thanks!

Hi, I've just been rejected from a string of work experience placements from Aviva, Cisco, Morgan Stanley STEM competiton from Imperial College. I'm in Y11 so this isnt too horrible for me rn, and I had a work experience last year in Y10, I probable need one for Y12 in order to stand a good chance for getting into a good degree apprenticeship placement .

Can someone review answers to these questions and see if any red flags pop up? If anyone here is a hiring manager or a recruiter it would also be appreciated if I can have some input.

Morgan Stanley studying STEM program :

Please describe why you wish to attend this event. (200 word maximum)

I am fascinated by the ways in which global politics and current events impact markets and the economy. To explore this connection myself, I coded a paper trading website that uses APIs to gather real time data and visualize trends, involving analysis of income statements, stock tickers and more.
When the Iran conflict escalated earlier this year, I took it as an opportunity to explore how the closure of the Strait of Hormuz could raise oil prices and even the cost of fertilisers! By consulting analysis and making my own judgements, I could adjust my portfolio in real time, for example, by increasing percentage of gold equities as a traditional safe haven in times of economic upheaval.

I think that this Studying STEM program will help me to explore how a large firm such as Morgan Stanley analyses such trends and uses that for wealth management and investment banking. The panel sessions and interactive activities are a particular draw as hearing directly from people working at the intersection of technology and finance would give me a new perspective of the various job roles and opportunities that are available, which would greatly help me further my future career.

Please provide an interesting fact about yourself.

I play ultimate frisbee competitively!

Please describe yourself in 3 words.

Curious, Enthusiastic, Dedicated

What are you most looking forward to, if you receive a space on the programme?

I am most looking forward to the panel section, as that will give me the opportunity to ask questions and connect with industry professionals who have experience in the Finance and Technology fields. Connecting with such people will also help me to understand what job roles are out there, to make a more informed career decision in the future.

Cisco IT skills

We’d love to hear why you would like to take part in this work experience and what you hope to le...
   I would love to take part in this work experience programme because I have a strong passion for technology and IT, and I am eager to explore the wide range of opportunities that exist within the industry and Cisco. I read about how Cisco manages hardware design of routers and switches, and I am interested in understanding how such devices are made at a low level. I am also eager to learn what work is rally like day to day which will help me better prepare on which career trajectory to take in the future

Which particular area of technology or business are you most curious about, and why?
   I am most curious about networking and protocols and how communication standards allow us to communicate with each other seamlessly. Recently, I explored Web Development and created a website that helps GCSE students manage their revision schedule and flashcards. I was particularly fascinated by how web pages are hosted online. In particular, I researched how the TCP/IP stack was split into different layers that aids in troubleshooting and maintaining networking infrastructure. Reading how Cisco works to create this very network infrastructure, I would be eager to understand how different protocols are actually written to help different devices communicate with each other.

What are your future ambitions or career ideas, and how do you think IT skills could help you achieve this?
   While still exploring my career options, I have been strongly considering working in Networking or hardware design. This is because I would love a hands-on role which involves working on interesting problems and understanding the ways in which the world communicates. The work experience would give me a greater understanding of the various job roles and opportunities available in this space, particularly in the practical workshop sessions. I am sure the teamwork and design skills would be invaluable in my future career and I would love to take part in this opportunity.

Imperial College STEM Competition

Enthusiastic about STEM and its capability to solve wide ranging problems I attended to a Royal Institute talk on the Physarum polycephalum slime mould. Observing how a brainless organism could autonomously replicate the efficiency of Tokyo’s subway system improved my understanding of optimization. This sparked a drive to translate biological processes into digital frameworks, eventually culminating in an ongoing project to map this slime mould onto a python program, to explore the travelling salesman problem. I am applying for the Imperial STEM Challenge because I am interested in exploring how multiple facets of STEM can interact together to create innovative solutions to real world problems. As an aspiring Computer Scientist, this competition would allow me to bridge the gap between theory and practical use cases that can help solve complex problems beyond the screen.

I am suitable to take part in this competition due to my previous experience in innovation competitions and problem solving. In the InnoVenture, innovation challenge, I placed 3rd out of more than 10,000 competitors by designing a product that utilises existing Fastag frameworks and RFID technology to minimise illegal parking. Recently, I participated in the Capgemini work experience; our team brainstormed ideas and pitched solutions to a team of senior employees on creative methods to improve the sustainability of their London office. Furthermore, I was the lead car designer in our school STEM Racing club, where I used Fusion 360 and the CFD software Ansys to create and test a model F1 car that we raced at Bath University. Consolidating all members’ perspectives and developing creative solutions to maximise aerodynamics and minimise weight of the car, the competition sparked my curiosity about how CFD softwares are made. This led to my current research on the physics behind CFD simulations, where I will create software to better gauge the aerodynamics of the F1 car. 

These experiences taught me how to communicate in a team, consider other ideas and how to integrate feedback to develop robust solutions. This is invaluable in working at a fast-paced collaborative environment like the Imperial STEM Challenge. I am keen to bring my enthusiasm STEM, my aptitude for problem solving and my proven track record of collaboration to the Imperial STEM Challenge.

Sorry for the long post, but I'm at a loss at how I got rejected for all of these. Any tips or ideas on how to write these better?

I'm 16 and applying to Morgan Stanley STEM work experience. I got rejected from 2 back to back, so I want to know what a company like this would actually look for in a candidate, so if anyone has any experience in HR or anyone working in a similar field, I would greatly appreciate it.

The questions asked are :

• Please describe why you wish to attend this event.
• Please provide an interesting fact about yourself.
• Please describe yourself in 3 words

Here's somethings about me :

- Interested in computer science and finance - did a research project on computer science, but not very related to finance, its very theoretical.

- USACO gold -> pretty good rank in a competitive programming competition.

- Created paper trading website using API that tracks stock value, returns a graph value with a clean interface + web scraper to scan income statements+balance sheets for large number of companies quickly.

- Lloyds Bank Virtual Job experience, where I used logistic regression,random forest to predict customer churn - using statistical tools like median imputation to clean datasets.

- I can write about a recent trend in the market that I am looking at and how it affects my stock portfolio like the USA-Iran war or smth similar.

- 3rd/10000+ in a national innovation competition to make an illegal parking camera using RFID technology.

I'm struggling to find a balance between braggy stuff and why I want to attend ie what the event will give me. Anyone have any ideas on how to solve this for now and in any future applications I do?