The PracticeSheet command generates a grid of math practice problems intended for basic drills that involve simplifying or evaluating one expression into another.  

The template parameter is the only one required, and it specifies the form of the displayed expressions.  

Most commonly, template is a parsable string expression involving operators, functions, and the keywords integer and variable.  The integer and variable keywords are replaced by random values.  For example, the template "integer+integer" creates a sheet of two term addition problems involving integers in the range -10..10, excluding 0, 1, and -1.  Alternate integer ranges can supplied using the range option described in GenerateInteger.

Templates are input as strings in order to avoid Maple's automatic simplification of trivial expressions.  The template accepts all options that the RandomTools:-Generate command can support.

The template can also be a procedure of the form (row,col)->expr. A template procedure accepts the row and column grid coordinates and returns an arbitrary expression.

A default algorithm is used to compare the displayed expression with the value in the response box when the "Check My Work" button is pressed. This algorithm attempts to ensure each expression pair is equivalent in value and structure.  The InertForm:-SameStructure command is used by default to do the structural comparison.

In many cases the displayed expression needs to be manipulated in order to get it into "solution" form.  The solution option provides a way to specify how the computer should arrive at the answer used to compare against the given response.  By default, solution=simplify.

An alternate comparison procedure can be specified using the compare option to pass in a procedure that accepts two parameters, (response,question), where response is the expression in the answer box, and question is the expression adjacent to it.

When using a custom compare procedure, the option inert can be used to control whether the response fed to the procedure is in a special, unsimplified inert form, where it is easier to analyze the exact structure of the response expression as-entered.

The output option can be used to get the result from DocumentTools:-InsertContent when the sheet is inserted.  This contains information about the names of the components used and may be useful for debugging advanced questions.

When inline = false, the practice sheet is generated as a new Maple document.  If a custom template procedure or custom comparison function was used, the new sheet will need to have all dependencies injected into the new worksheet in order to work properly.  For example, if custom_compare calls myfunc, then, because the new worksheet does not share the same kernel as the generating document, myfunc needs to be defined in the created document.  Maple attempts to do this automatically by taking all variables currently defined and injecting them as startup code.  It is possible that not all of these variables are needed, so Maple gives a warning when this happens.  Use the state option to specify the names of the variables that you do want to be defined in the new document.  Use state=[] to declare that you do not want any variables transcribed to the new document.

The equalsymbol option allows you to specify custom text between the expression and answer box.  By default the symbol inserted is an equal sign.

For an interactive interface to construct practice sheets, see assistants/PracticeSheets.

$\mathrm{with}\left(\mathrm{Student}:-\mathrm{Basics}\right)\:$

$\mathrm{Student}:-\mathrm{Basics}:-\mathrm{PracticeSheet}\left(''integer+integer''\,'\mathrm{inline}'\right)$

$\mathrm{Student}:-\mathrm{Basics}:-\mathrm{PracticeSheet}\left(''integer(range=1..10)+integer(range=1..10)''\,'\mathrm{inline}'\right)$

$\mathrm{Student}:-\mathrm{Basics}:-\mathrm{PracticeSheet}\left(''integer*variable(x)+integer*variable(x)''\,\mathrm{nrows}=3\,\mathrm{ncols}=2\,\mathrm{title}=''Addition\; with\; Variables''\,\mathrm{message}=''Sum\; the\; following\; quantities.''\,'\mathrm{inline}'\right)$

$\mathrm{Student}:-\mathrm{Basics}:-\mathrm{PracticeSheet}\left(''integer*(integer*variable+integer)''\,\mathrm{title}=''Distributive\; Multiplication''\,\mathrm{message}=''Expand\; each\; expression\; using\; the\; distributive\; property''\,'\mathrm{inline}'\right)$

$\mathrm{Student}:-\mathrm{Basics}:-\mathrm{PracticeSheet}\left(''integer*variable(xy)+integer*variable(xy)''\,\mathrm{title}=''Addition\; with\; Variables''\,\mathrm{message}=''Sum\; the\; following\; quantities.''\,'\mathrm{inline}'\right)$

$\mathrm{Student}:-\mathrm{Basics}:-\mathrm{PracticeSheet}\left(''integer/integer(range=2..5)+integer/integer(range=2..5)''\,\mathrm{title}=''Addition\; of\; Fractions''\,\mathrm{message}=''Add\; and\; reduce\; each\; expression''\,'\mathrm{inline}'\right)$

$\mathrm{Student}:-\mathrm{Basics}:-\mathrm{PracticeSheet}\left(''(variable(x)+integer)*(variable(x)+integer)''\,\mathrm{title}=''Distributive\; Multiplication''\,\mathrm{message}=''Expand\; each\; expression\; using\; the\; distributive\; property''\,\mathrm{solution}=\mathrm{expand}\,\mathrm{width}=120\,\mathrm{height}=35\,\mathrm{state}=\left[\right]\,'\mathrm{inline}'\right)$

$\mathrm{Student}:-\mathrm{Basics}:-\mathrm{PracticeSheet}\left(\left(i\,j\right)\mapsto \mathrm{expand}\left(\mathrm{RandomTools}:-\mathrm{Generate}\left(\left(\mathrm{variable}\left(x\right)+\mathrm{integer}\left(\mathrm{range}=\mathrm{-10}..10\,\mathrm{exclude}=\left\{0\right\}\right)\right)\cdot \left(\mathrm{variable}\left(x\right)+\mathrm{integer}\left(\mathrm{range}=\mathrm{-10}..10\right)\right)\right)\right)\,\mathrm{title}=''Factor''\,\mathrm{message}=''Factor\; each\; expression''\,\mathrm{solution}=\mathrm{factor}\,\mathrm{width}=120\,\mathrm{height}=35\,\mathrm{state}=\left[\right]\,'\mathrm{inline}'\right)$

$\mathrm{Student}:-\mathrm{Basics}:-\mathrm{PracticeSheet}\left(''\%diff(variable(x)^integer(range=2..20),variable(x))''\,\mathrm{title}=''Differentiation\; -\; Power\; Rule''\,\mathrm{message}=''Differentiate\; each\; expression\; using\; the\; power\; rule.''\,'\mathrm{solution}'=\mathrm{eval}\,'\mathrm{inline}'\right)$

$\mathrm{Student}:-\mathrm{Basics}:-\mathrm{PracticeSheet}\left(''\%int(variable(x)^integer(range=2..20),variable(x))''\,\mathrm{title}=''Integration\; -\; Power\; Rule''\,\mathrm{message}=''Integrate\; each\; expression\; using\; the\; power\; rule.\; \backslash n\backslash nDo\; not\; include\; a\; constant\; of\; integration\; in\; your\; solution.''\,'\mathrm{inline}'\right)$

Student:-Basics:-PracticeSheet("%int(variable(x)^integer(range=2..20),variable(x))",
   title="Integration - Power Rule",
   message="Integrate each expression using the power rule.",
   compare = proc(resp,q)
         local c := indets(value(resp)) minus {x};
         if nops(c) = 1 then
             c := c[1];
         else
             c := 0;
         fi;
         InertForm:-SameStructure(resp-c,value(q));
   end proc,
   state=[]
,'inline');

$\mathrm{Student}:-\mathrm{Basics}:-\mathrm{PracticeSheet}\left(''integer*variable(x)+integer\; =\; 0''\,\mathrm{title}=''Solve\; Linear\; Equations''\,\mathrm{message}=''Solve\; for\; x.''\,\mathrm{solution}=\mathrm{solve}\,\mathrm{equalsymbol}='';\; x\; =''\,'\mathrm{inline}'\right)$

$\mathrm{MyPerms1}≔\mathrm{Array}\left(1..5\,1..1\,\left(\right)\mapsto \mathrm{Perm}\left(\mathrm{combinat}:-\mathrm{randperm}\left(8\right)\right)\right)$

$\mathrm{MyPerms1}≔\left[\right]$

$\mathrm{MyPerms2}≔\mathrm{Array}\left(1..5\,1..1\,\left(\right)\mapsto \mathrm{Perm}\left(\mathrm{combinat}:-\mathrm{randperm}\left(8\right)\right)\right)$

$\mathrm{MyPerms2}≔\left[\right]$

Student:-Basics:-PracticeSheet( (row,col)->MyPerms1[row,col] %. MyPerms2[row,col],
  ncols=1,
  comparebyindex=true,
  compare = proc(resp,idx)
     evalb(eval(MyPerms1[op(idx)] . MyPerms2[op(idx)]) = Perm(resp));
  end proc,
  state=['MyPerms1','MyPerms2'],
  message="Use square brackets to input your result, for example [[1,2],[3,4]] instead of (1,2)(3,4)",
  width=200,
  inline
);

The Student[Basics][PracticeSheet] command was introduced in Maple 2018.

For more information on Maple 2018 changes, see Updates in Maple 2018.

The Student[Basics][PracticeSheet] command was updated in Maple 2024.

The prefix, suffix, qprefix and qsuffix parameters were introduced in Maple 2024.

For more information on Maple 2024 changes, see Updates in Maple 2024.