Shoot any math questions you have

Using only pen and paper, what’s 1/1.1234567891011121314151617181920? (To 100 sf)

Guess you could use a calculator for this one

Using only pen and paper, what’s 1/1.1234567891011121314151617181920? (To 100 sf)

Using only pen and paper, what’s 1/1.1234567891011121314151617181920? (To 100 sf)

How many marks?

Solve
5<(x-2)(x+2)<12

3<x<4, -3<x<-4

4 marker
1/4

Better than 1/6

A "neater" question could have used
1 + 1/99 + 1/99^2
On the denominator.

Only 1 out of 6 marks. (5 marks for correct method, 1 mark for correct answer).

I’m not allowed a calculator in my maths exam.

Nice try. I think you meant 1+1/9+1/(9^2). Which is a decent approximation.

I didn't say it was an approximation, rather it has a recurring form and is similar to the fraction you posed. Nice link with Egyptian fractions.
1+1/999+1/999^2
Is similar but has 3 digit counting fraction

Hey there, since this is the 1st question after I bragged. Thus, I asked my professor about this question. Here she said, "it is impossible to convert this fraction into a repeating decimal because '100 significant numbers' is a strange suggestion without calculator. If the question is 100% accurate and all that required is a reasonable method, we could try to approximate it by Taylor expansion. As a result, f(x)=1/(1+x) is equivalent to geometric series f(x)=1-x^2+x^3-x^4... where x=0.1234567891011121314151617181920. You might notice that x is part of the Champernowne constant which has a nice approximation (https://en.wikipedia.org/wiki/Champernowne_constant). It is not very hard to find a closed form or low accuracy level for your question. I suggest you could double check it or provide more context, so we could discuss it further".

Haha, it was meant to be a joke, but impressive stuff