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Mental math

case math mental math
Neue Antwort am 6. Okt. 2023
6 Antworten
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Anonym A fragte am 5. Okt. 2023

Hi,

Any blogs / websites etc to get mental math tips? I often struggle in cases (or take too long) because I want to reach the exact number. Since I don't have a background in business, I wanted to practice mental math using useful tricks and tips e.g. dividing by 0.5 = multiplying by 2.

I am looking for tricks and tips especially when dividing / multiplying decimals, dealing with large numbers, etc.

Also, if there is a list of formulas that tend to be asked in cases, that could be useful as well. E.g.: breakeven points, ROI, NPV, etc. Any info on case math is welcome!

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Francesco
Experte
Content Creator
antwortete am 6. Okt. 2023
#1 Coach for Sessions (4.500+) | 1.500+ 5-Star Reviews | Proven Success (➡ interviewoffers.com) | Ex BCG | 10Y+ Coaching

Hi there,

Q: Any blogs / websites etc to get mental math tips?

You can always write down the math, unless the interviewer explicitly asks to do the math in your head, which is quite rare. For this reason, I would recommend prioritizing how to approach math and avoid mistakes rather than mental math

In terms of how to approach the math in a case, this is what I would recommend:

  1. Repeat the question – sometimes candidates do mistakes answering the wrong question
  2. Ask for time and explain how you would like to proceed, presenting the formula you want to follow
  3. Perform the math and present the interim steps to keep the interviewer aligned – don’t just say the final number
  4. Continue with the calculations until you find the final answer
  5. Propose next steps based on the results you found

In terms of avoiding mistakes, I would recommend the following:

  1. Use 10^ to account for zeros. For example, 3.2B/723M is equivalent to 3200*10^6/732*10^6, which helps to do the math correctly
  2. Ask if it is fine to approximate. The interviewer may allow to approximate the numbers to simplify the math. In the previous example, you could approximate as 320*10^7/73*10^7 and simplify the computation
  3. Keep good notes. One reason why candidates make math mistakes is that they don't keep their notes in order, thus forget/misreport numbers
  4. Divide complex math into simpler steps. If you have to calculate (96*39)*10^6, you can change the math as 96*40 - 96*1 = 100*40 - 4*40 - 96*1 = 4000 – 160 – 100 + 4 = 3744*10^6
  5. Use shortcuts for fractions. You can learn by heart fractions and speed up/simplify the computation - the most useful are 1/6, 1/7, 1/8, 1/9

In terms of formulas, some of the most common are the following:

  • Breakeven
  • NPV/Perpetuity formula
  • ROI
  • Rule of 72
  • Simple and compound growth rate

I would also recommend practicing math under pressure - not just math. Many candidates are fine calculating 67% of 67 without pressure, but freeze when asked to do so in a real case interview.

In order to practice, try to use a timer with a strict time constraint when you do the math on your own– this will create pressure and help to replicate the real setting of the interview.

If you need more help, please feel free to PM me.

Best,

Francesco

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Ian
Experte
Content Creator
antwortete am 6. Okt. 2023
#1 BCG coach | MBB | Tier 2 | Digital, Tech, Platinion | 100% personal success rate (8/8) | 95% candidate success rate
  1. 100% Recommend Rocket Blocks. It's exactly what you're looking for
  2. Online "Drills": https://www.preplounge.com/en/mental-math
  3. Math sheets (print these and do them on paper): Google Math Drills sheets
  4. In addition to that, you can ask other PrepLoungers to case you on math-heavy cases. You can also search for those case types here and work through them yourself.

Some key formulas/concepts:

  • Breakeven
  • NPV (with + without growth, perpituity + 1-2 years from now)
  • % Change
  • ROI
  • Margin
  • Markup
  • Inventory turnover

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Some great answers from a variety of angles have already been asked. Check these out!

Mental Math

https://www.preplounge.com/en/consulting-forum/mental-math-help-7962

Conceptual/Contextual Math

https://www.preplounge.com/en/consulting-forum/materials-for-practicing-conceptual-case-math-8016

Key Math Equations

https://www.preplounge.com/en/consulting-forum/math-equations-their-use-7934

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Moritz
Experte
Content Creator
antwortete am 5. Okt. 2023
ex-McKinsey EM & Interviewer | 7/8 offer rate for 4+ sessions | 90min sessions with FREE exercises & videos

Hi there,

My advice is to start using Preplounge's mental math tool, which you can find here: Mental Math Practice | PrepLounge.com. You will find your own shortcuts with time for basic arithmetic operations. However, execution is only 1 part of 4 important parts for quant:

  1. When to do math: It isn't always obvious when to crunch some numbers to create insights when you're not being asked directly. Most people miss opportunities to score some points because they're not proactive in the right moments.
  2. Setting up an equation: Sometimes it's not as easy as adding x + y and you might have to solve for variables with a more complex approach. Knowing what to solve for and how to do it comes before execution and is extremely important.
  3. Doing the math (what you asked about): Once you know what you want to do and how to do it, it's time to actually do it. It's important to be reasonably quick and “right enough”. The latter refers to the liberty you can take to sometimes approximate numbers, rather than getting the decimals right. With practice you'll get a feeling for how precise you need to be, which determines complexity and length of the entire execution part.
  4. Contextualizing result: Spitting out a number is not enough. You must contextualize it to create the right insights. A lot of candidates forget this and focus too much on answering the question right, rather than doing something with that right answer. This is not necesarily a quant skill and is more attributable to conceptual skills. Nonetheless, a very important thing to get right. If you don't, all previous steps are devalued.

I am happy to help with all the above, if that's needed.

Best of luck!

Moritz

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Raj
Experte
Content Creator
antwortete am 6. Okt. 2023
FREE 15MIN CONSULTATION | #1 Strategy& / OW coach | >70 5* reviews |90% offers ⇨ prep-success.super.site | MENA, DE, UK

I understand that mental math can be challenging, especially when you're aiming for precise calculations. Fortunately, there are several resources available to help you improve your mental math skills.

For useful tricks and tips, I recommend checking out the following:

PrepLounge's Mental Math Drills: This online resource provides practice exercises specifically designed to improve mental math skills. You can find it here: [https://www.preplounge.com/en/mental-math]

Rocket Blocks: Rocket Blocks is a comprehensive platform that offers case interview preparation, including mental math drills. It provides step-by-step guidance and practice materials. You can learn more about it here: [https://www.rocketblocks.me/]

Google Math Drills Sheets: These printable math sheets can be a great way to practice mental math on paper. You can find a variety of math drills by searching for "Google Math Drills Sheets."

In terms of formulas commonly used in case interviews, here are a few examples:

Breakeven Point: This formula helps determine the point at which a company's revenue equals its costs, resulting in neither profit nor loss.

Return on Investment (ROI): ROI measures the profitability of an investment by comparing the gain or loss relative to the cost of the investment.

Net Present Value (NPV): NPV calculates the present value of future cash flows, taking into account the time value of money.

While these are just a few examples, it's important to familiarize yourself with a wide range of formulas and concepts. You can find more information on case math and commonly used formulas in the "Case Interview Math" section of PrepLounge's resources.

I hope these resources and tips help you improve your mental math skills and feel more confident in case interviews. Good luck with your preparation!

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Benjamin
Experte
Content Creator
antwortete am 5. Okt. 2023
Ex-BCG Principal | 8+ years consulting experience in SEA | BCG top interviewer & top performer

Hi,

Plenty of websites that can give you tips on mental arithmetic - a google search will show these.

For me, I found the book “Secrets of Mental Math” to be helpful - especially the mnemonic section was extremely helpful on the job.

All the best!  

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Cristian
Experte
Content Creator
antwortete am 6. Okt. 2023
#1 rated MBB & McKinsey Coach

Hi there!

Yes - for speed, use Arithmetic Zetamac. 

For logic, reach out to me and I'll send you a guide over DMs (no strings attached). 

For terms, check out the guide I created:


Best,
Cristian

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Francesco gab die beste Antwort

Francesco

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