# [NTG-context] Randomize order of blocks

Otared Kavian otared at gmail.com
Wed Jan 6 09:55:54 CET 2021

Following up my previous message, here is an example:

%% begin shuffled list of exercises
\setuprandomize[2021]

\startluacode
function shuffle(tableau)
local maxsize, t, tt
maxsize = #tableau
tt = {}
t = {}
for i = 1, maxsize do
t[i] = {}
t[i]["columnOne"] = tableau[i]
t[i]["columnTwo"] = math.random(1,100*maxsize)
end
table.sort(t, function(a,b) return a.columnTwo < b.columnTwo end)
for i = 1, maxsize do
tt[i] = t[i]["columnOne"]
end
return tt
end
\stopluacode

% We define three arrays
% with the names, the functions and their derivatives
% One could also add a ListOfVariables...

\startluacode

ListOfNames = {
"f",
"g",
"h",
"u",
"v",
"F",
"G",
"H",
}

ListOfFunctions = {
"\\cos(x^2)",
"x\\sin(x)",
"\\tan(x)",
"x^3 - 3x^2 + 1",
"\\frac{1}{1 + x^2}",
"\\sin(\\log(x))",
}

ListOfDerivatives = {
"-2x\\sin(x^2)",
"x\\cos(x) + \\sin(x)",
"1 + \\tan(x)^2",
"3x^2 - 6x",
"\\frac{-2x}{(1 + x^2)^2}",
"\\frac{\\cos(\\log(x))}{x}",
}

\stopluacode

\starttext

% We define a buffer and a shuffled list of integers

\startbuffer[test-derivatives]
\startluacode
ShuffledList = shuffle({1,2,3,4,5,6})
\stopluacode

Let $\cldcontext{ListOfNames[ShuffledList[\recurselevel]]}(x) := \cldcontext{ListOfFunctions[ShuffledList[\recurselevel]]}$. Prove that
\startformula
\cldcontext{ListOfNames[ShuffledList[\recurselevel]]}'(x) = \cldcontext{ListOfDerivatives[ShuffledList[\recurselevel]]}
\stopformula
\stopbuffer

\dorecurse{6}{\blank[medium]{\bf Exercise #1.}
\getbuffer[test-derivatives]
}

\stoptext

%% end shuffled list of exercises

> On 6 Jan 2021, at 09:41, Otared Kavian <otared at gmail.com> wrote:
>
> Hi Jairo,
>
> One can indeed make quizzes and exams with randomized order of problems, randomized values and even randomized names of functions and variables.
> I have some examples which I have been using for several years (they are useful especially in these days of giving exams online…): I can send them to you as they are, or if you tell me what kind of problems you want, then I can adapt my examples before sending them to you.
>
> Best regards: Otared
>
>> On 5 Jan 2021, at 17:18, Jairo A. del Rio <jairoadelrio6 at gmail.com> wrote:
>>
>> Hi, list.
>>
>> Some time ago I realized ConTeXt has "blocks" which allow one to make quizzes, exams and related with ease. However, I want to know if there's an option to randomize their order when printed. Thank you in advance.
>>
>> Jairo
>> ___________________________________________________________________________________
>> If your question is of interest to others as well, please add an entry to the Wiki!
>>
>> maillist : ntg-context at ntg.nl / http://www.ntg.nl/mailman/listinfo/ntg-context
>> webpage  : http://www.pragma-ade.nl / http://context.aanhet.net
>> archive  : https://bitbucket.org/phg/context-mirror/commits/
>> wiki     : http://contextgarden.net
>> ___________________________________________________________________________________
>