CasperYC

Vacancies open: ESL, Geography, Arts and Design, Sociology, Mathematics and Economics Please contact Karen.Wu@JKFZ.cn for more information

For those schools in China, who are registered directly with UKMT, do you want to swtich to ASDAN? Are you happy being forced to work with ASDAN? @UKMathsTrust

@UKMathsTrust Please note we many schools in China are NOT happy with moving to ASDAN for UKMT challenges. For details please see the email I sent!!! We hope you reconsdier working with ASDAN and look forward to your reply!

@UKMathsTrust Thanks.

@CasperYC Good Morning, we hope to release results around mid-December. Best regards, UKMT.

@UKMathsTrust When do we expect the result for BMO1?

@duetosymmetry @SGHuisman Do you mean 30x times?

@SGHuisman @CasperYC The number of digits you need is roughly 3x the number of digits of primes you use… for 100 digits of accuracy you only need about 32 primes

This evening I learned about the magic number 0.4323320871 8590286890… Drop everything left of the decimal place. Take the reciprocal of this fractional part. Keep doing that. This makes a sequence of numbers. What do you notice about the integers left of the decimal place?

@SGHuisman @duetosymmetry Thanks!! Was only trying to get it working !

@CasperYC @duetosymmetry Use FromContinuedFraction to simplify: 1/N[FromContinuedFraction[Prime[Range[200]]], 200]

@duetosymmetry @lnmcjames Yes, but the algorithm/process is pretty simple (and known) to many primary and secondary children in Shanghai(and China) LOL -- just a continued fraction with the first n primes in reverse order, keep taking reciprocal and adding 1.

@lnmcjames @CasperYC You need more than machine precision floats (64 bits, approx 16 decimal places) to get more than the first 8 primes. In python, you can do that with the package named mpmath. No idea if this is possible in google docs

@stepsupportcam @nrichmaths hmmmmmm we had the opposite feeling...maybe it's only the Chinese students who liked seeing them...

@CasperYC @nrichmaths We had feedback from students that they disliked "seeing" recent STEP questions, even if only by accident, so we have kept the last few years STEP papers off the database.

“Number Theory” is another topic that might come up at interview. For example, can you prove that the difference between two odd squares is a multiple of 8? Here are some @nrichmaths problems on number theory: nrich.maths.org/14842. For more problems see the STEP database.

@roydwilliams @duetosymmetry That's exactly it :)

@duetosymmetry @maartengm @totorum That can be easily generated using continued fraction, as long as you know the recurrence relationship. And with a bit of coding...

@maartengm @andmoo222 @totorum This might be a little rough... I was not being very careful. But the trend should be right. Number of digits of precision you want vs. number of primes you need to add together to get there.

How do I get a coupon for UKMT SMC purchase? @UKMathsTrust

Great school near Baker Street :)

@RoyalMintUK Do you do COLLECTION in London??? I need this one BEFORE FRIDAY. royalmint.com/lunar/year-of-… Thanks.

Check out my new Numeracy - C5 - Times Table Practice (Chinese version) teaching resource >> tes.com/teaching-resou… via @tesResources

Check out my new Numeracy - A - Addition 加 and Subtraction 减 teaching resource >> tes.com/teaching-resou… via @tesResources