From c294a0d4f966938b99bd8aa09d1f02aa1749dcc1 Mon Sep 17 00:00:00 2001 From: Mark Date: Thu, 11 Jan 2024 07:56:32 -0800 Subject: [PATCH] Minor edits --- Advanced/Estimathon/main.tex | 54 +++++++++++++++++++++--------------- Misc/Warm-Ups/parking.tex | 3 +- 2 files changed, 33 insertions(+), 24 deletions(-) diff --git a/Advanced/Estimathon/main.tex b/Advanced/Estimathon/main.tex index 23929c8..b5c5df1 100755 --- a/Advanced/Estimathon/main.tex +++ b/Advanced/Estimathon/main.tex @@ -1,11 +1,21 @@ % use [nosolutions] flag to hide solutions. % use [solutions] flag to show solutions. \documentclass[ - solutions, + nosolutions, singlenumbering ]{../../resources/ormc_handout} \usepackage{../../resources/macros} +\geometry{ + paper = letterpaper, + top = 20mm, + bottom = 20mm, + left = 30mm, + right = 30mm, + headheight = 75mm, + footskip = 10mm, + headsep = 75mm, +} \uptitlel{Advanced 2} \uptitler{Winter 2023} @@ -68,13 +78,6 @@ $85$ mi/hr \end{solution} - \problem{} - What is the melting point of gold? - - \begin{solution} - $1064.18$ C - \end{solution} - \problem{} How many ways are there to tile a square with $2 \times 1$ and $1 \times 2$ dominos? @@ -93,6 +96,13 @@ About 15HP, as measured in 1925. \end{solution} + \problem{} + What is $\sqrt[100]{2} - 1$? + + \begin{solution} + $0.06956$ + \end{solution} + \problem{} What is the approximate speed of the magnetic north pole's drift? (in km/year) @@ -100,13 +110,6 @@ 60km/yr \end{solution} - \problem{} - How many creatures are there in \textit{Dwarf Fortress}? - - \begin{solution} - 500 (estimate, no way I'm counting them all) - \end{solution} - \problem{} What was the stock price of Apple on $2023-01-10$? \begin{solution} @@ -127,6 +130,13 @@ 13 \end{solution} + \problem{} + How many different creatures are there in \textit{Dwarf Fortress}? + + \begin{solution} + 500 (estimate, no way I'm counting them all) + \end{solution} + \problem{} For how many positive integers $n$ less than $10,000$ is $2^n -n^2$ divisible by $7$? @@ -156,13 +166,11 @@ \end{solution} \problem{} - Five boxes are filled with pastries. We know that box C contains a third of the pastries in E, and that - B contains two times more than C and E combined. Box A contains half the number of pastries in E, and - a tenth of those in D. Box B contains four times more pastries than D. \par - What is the minimal possible positive number of pastries in all the boxes put together? + Suppose you drop 16 needles of length 5 on ruled paper with distance 8. \par + What is the probability that three, four, or five needles cross a line? \begin{solution} - 310 + 0.316 \end{solution} @@ -182,14 +190,14 @@ \problem{} - How many distinct typewriter models were produced by \textit{Smith Corona} since 1886? + How many distinct typewriter models have been produced by \textit{Smith Corona} since 1886? \begin{solution} 106 \end{solution} \problem{} - About how many people live on Antarctica during the winter? + How many people live on Antarctica during the winter? \begin{solution} About 1100; rises to about 5000 in Summer. @@ -200,7 +208,7 @@ What is the standard deviation of the above solutions? \begin{solution} - 7,2318.7 + $6.3616 \times 10^6$ \end{solution} \end{document} \ No newline at end of file diff --git a/Misc/Warm-Ups/parking.tex b/Misc/Warm-Ups/parking.tex index bc4ba40..33a4857 100755 --- a/Misc/Warm-Ups/parking.tex +++ b/Misc/Warm-Ups/parking.tex @@ -2,7 +2,8 @@ solutions, shortwarning, singlenumbering, - nopagenumber + nopagenumber, + nowarning ]{../../resources/ormc_handout} \usepackage{../../resources/macros} \geometry{top = 20mm}