Minor edits
This commit is contained in:
parent
7fe06e1aca
commit
c294a0d4f9
@ -1,11 +1,21 @@
|
|||||||
% use [nosolutions] flag to hide solutions.
|
% use [nosolutions] flag to hide solutions.
|
||||||
% use [solutions] flag to show solutions.
|
% use [solutions] flag to show solutions.
|
||||||
\documentclass[
|
\documentclass[
|
||||||
solutions,
|
nosolutions,
|
||||||
singlenumbering
|
singlenumbering
|
||||||
]{../../resources/ormc_handout}
|
]{../../resources/ormc_handout}
|
||||||
\usepackage{../../resources/macros}
|
\usepackage{../../resources/macros}
|
||||||
|
|
||||||
|
\geometry{
|
||||||
|
paper = letterpaper,
|
||||||
|
top = 20mm,
|
||||||
|
bottom = 20mm,
|
||||||
|
left = 30mm,
|
||||||
|
right = 30mm,
|
||||||
|
headheight = 75mm,
|
||||||
|
footskip = 10mm,
|
||||||
|
headsep = 75mm,
|
||||||
|
}
|
||||||
|
|
||||||
\uptitlel{Advanced 2}
|
\uptitlel{Advanced 2}
|
||||||
\uptitler{Winter 2023}
|
\uptitler{Winter 2023}
|
||||||
@ -68,13 +78,6 @@
|
|||||||
$85$ mi/hr
|
$85$ mi/hr
|
||||||
\end{solution}
|
\end{solution}
|
||||||
|
|
||||||
\problem{}
|
|
||||||
What is the melting point of gold?
|
|
||||||
|
|
||||||
\begin{solution}
|
|
||||||
$1064.18$ C
|
|
||||||
\end{solution}
|
|
||||||
|
|
||||||
\problem{}
|
\problem{}
|
||||||
How many ways are there to tile a square with $2 \times 1$ and $1 \times 2$ dominos?
|
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.
|
About 15HP, as measured in 1925.
|
||||||
\end{solution}
|
\end{solution}
|
||||||
|
|
||||||
|
\problem{}
|
||||||
|
What is $\sqrt[100]{2} - 1$?
|
||||||
|
|
||||||
|
\begin{solution}
|
||||||
|
$0.06956$
|
||||||
|
\end{solution}
|
||||||
|
|
||||||
|
|
||||||
\problem{}
|
\problem{}
|
||||||
What is the approximate speed of the magnetic north pole's drift? (in km/year)
|
What is the approximate speed of the magnetic north pole's drift? (in km/year)
|
||||||
@ -100,13 +110,6 @@
|
|||||||
60km/yr
|
60km/yr
|
||||||
\end{solution}
|
\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{}
|
\problem{}
|
||||||
What was the stock price of Apple on $2023-01-10$?
|
What was the stock price of Apple on $2023-01-10$?
|
||||||
\begin{solution}
|
\begin{solution}
|
||||||
@ -127,6 +130,13 @@
|
|||||||
13
|
13
|
||||||
\end{solution}
|
\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{}
|
\problem{}
|
||||||
For how many positive integers $n$ less than $10,000$ is $2^n -n^2$ divisible by $7$?
|
For how many positive integers $n$ less than $10,000$ is $2^n -n^2$ divisible by $7$?
|
||||||
@ -156,13 +166,11 @@
|
|||||||
\end{solution}
|
\end{solution}
|
||||||
|
|
||||||
\problem{}
|
\problem{}
|
||||||
Five boxes are filled with pastries. We know that box C contains a third of the pastries in E, and that
|
Suppose you drop 16 needles of length 5 on ruled paper with distance 8. \par
|
||||||
B contains two times more than C and E combined. Box A contains half the number of pastries in E, and
|
What is the probability that three, four, or five needles cross a line?
|
||||||
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?
|
|
||||||
|
|
||||||
\begin{solution}
|
\begin{solution}
|
||||||
310
|
0.316
|
||||||
\end{solution}
|
\end{solution}
|
||||||
|
|
||||||
|
|
||||||
@ -182,14 +190,14 @@
|
|||||||
|
|
||||||
|
|
||||||
\problem{}
|
\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}
|
\begin{solution}
|
||||||
106
|
106
|
||||||
\end{solution}
|
\end{solution}
|
||||||
|
|
||||||
\problem{}
|
\problem{}
|
||||||
About how many people live on Antarctica during the winter?
|
How many people live on Antarctica during the winter?
|
||||||
|
|
||||||
\begin{solution}
|
\begin{solution}
|
||||||
About 1100; rises to about 5000 in Summer.
|
About 1100; rises to about 5000 in Summer.
|
||||||
@ -200,7 +208,7 @@
|
|||||||
What is the standard deviation of the above solutions?
|
What is the standard deviation of the above solutions?
|
||||||
|
|
||||||
\begin{solution}
|
\begin{solution}
|
||||||
7,2318.7
|
$6.3616 \times 10^6$
|
||||||
\end{solution}
|
\end{solution}
|
||||||
|
|
||||||
\end{document}
|
\end{document}
|
@ -2,7 +2,8 @@
|
|||||||
solutions,
|
solutions,
|
||||||
shortwarning,
|
shortwarning,
|
||||||
singlenumbering,
|
singlenumbering,
|
||||||
nopagenumber
|
nopagenumber,
|
||||||
|
nowarning
|
||||||
]{../../resources/ormc_handout}
|
]{../../resources/ormc_handout}
|
||||||
\usepackage{../../resources/macros}
|
\usepackage{../../resources/macros}
|
||||||
\geometry{top = 20mm}
|
\geometry{top = 20mm}
|
||||||
|
Loading…
x
Reference in New Issue
Block a user