// Numbas version: exam_results_page_options {"name": "Calculate areas of rooms in a house", "extensions": ["jsxgraph", "sheets"], "custom_part_types": [{"source": {"pk": 242, "author": {"name": "Christian Lawson-Perfect", "pk": 7}, "edit_page": "/part_type/242/edit"}, "name": "Spreadsheet", "short_name": "spreadsheet", "description": "

An editable spreadsheet. Ranges of cells can be disabled, and you can specify ranges of cells to be marked. A cell is marked correct if its value is equal to the value in the expected answer spreadsheet.

", "help_url": "", "input_widget": "spread-sheet", "input_options": {"correctAnswer": "settings[\"correct_answer\"]", "hint": {"static": true, "value": ""}, "initial_sheet": {"static": false, "value": "disable_cells(settings[\"initial_sheet\"], settings[\"disable_ranges\"])"}}, "can_be_gap": true, "can_be_step": true, "marking_script": "correctAnswer:\nsettings[\"correct_answer\"]\n\nmark:\nif(sum(mark_ranges)=0,\n incorrect(),\n apply(mark_ranges)\n)\n\ninterpreted_answer:\nstudentAnswer\n\nrange_cells:\nmap(parse_range(ref),ref,values(settings[\"mark_ranges\"]))\n\ntotal_cells:\nlen(flatten(range_cells))\n\nrange_weights:\nswitch(\n settings[\"marking_method\"]=\"per_cell\",\n map(len(r)/total_cells, r, range_cells),\n // otherwise, mark per range\n repeat(1/len(range_cells), len(range_cells))\n)\n\nmark_ranges:\nmap(\n let(\n range_credit,\n sum(map(\n let(\n correctCellString, correctAnswer[c],\n correctCellNumber, parsenumber(correctCellString, notation_styles),\n studentCellString, studentAnswer[c],\n studentCellNumber, parsenumber(studentCellString, notation_styles),\n award(\n 1/len(cells), \n if(isnan(correctCellNumber) and correctCellString<>\"\",\n lower(correctCellString) = lower(studentCellString),\n abs(studentCellNumber - if(isnan(correctCellNumber),0,correctCellNumber)) <= settings[\"tolerance\"]\n )\n )\n ),\n c,\n cells\n )),\n message,\n switch(\n range_credit=0,\n if(len(cells)=1, \"This entry is incorrect.\", \"All entries in this range are incorrect.\"),\n range_credit=1,\n if(len(cells)=1, \"This entry is correct.\", \"All entries in this range are correct.\"),\n //otherwise\n \"Some entries in this range are correct.\"\n ),\n assert(len(cells)=0, add_credit(range_credit*w, \"{name}: \"+message)); \n range_credit\n ),\n [cells,w,name],\n zip(range_cells, range_weights, keys(settings[\"mark_ranges\"]))\n)\n\nnotation_styles:\n[\"plain\",\"si-en\"]", "marking_notes": [{"name": "correctAnswer", "description": "

A spreadsheet representing the expected answer.

", "definition": "settings[\"correct_answer\"]"}, {"name": "mark", "description": "This is the main marking note. It should award credit and provide feedback based on the student's answer.", "definition": "if(sum(mark_ranges)=0,\n incorrect(),\n apply(mark_ranges)\n)"}, {"name": "interpreted_answer", "description": "A value representing the student's answer to this part.", "definition": "studentAnswer"}, {"name": "range_cells", "description": "

For each range to be marked, the addresses of the cells in that range.

", "definition": "map(parse_range(ref),ref,values(settings[\"mark_ranges\"]))"}, {"name": "total_cells", "description": "

The total number of cells to be marked. Cells in overlapping ranges will be counted once for each range they're in.

", "definition": "len(flatten(range_cells))"}, {"name": "range_weights", "description": "

The weight of each range, as a proportion of the available credit.

", "definition": "switch(\n settings[\"marking_method\"]=\"per_cell\",\n map(len(r)/total_cells, r, range_cells),\n // otherwise, mark per range\n repeat(1/len(range_cells), len(range_cells))\n)"}, {"name": "mark_ranges", "description": "

Mark each of the ranges specified by the question author.

", "definition": "map(\n let(\n range_credit,\n sum(map(\n let(\n correctCellString, correctAnswer[c],\n correctCellNumber, parsenumber(correctCellString, notation_styles),\n studentCellString, studentAnswer[c],\n studentCellNumber, parsenumber(studentCellString, notation_styles),\n award(\n 1/len(cells), \n if(isnan(correctCellNumber) and correctCellString<>\"\",\n lower(correctCellString) = lower(studentCellString),\n abs(studentCellNumber - if(isnan(correctCellNumber),0,correctCellNumber)) <= settings[\"tolerance\"]\n )\n )\n ),\n c,\n cells\n )),\n message,\n switch(\n range_credit=0,\n if(len(cells)=1, \"This entry is incorrect.\", \"All entries in this range are incorrect.\"),\n range_credit=1,\n if(len(cells)=1, \"This entry is correct.\", \"All entries in this range are correct.\"),\n //otherwise\n \"Some entries in this range are correct.\"\n ),\n assert(len(cells)=0, add_credit(range_credit*w, \"{name}: \"+message)); \n range_credit\n ),\n [cells,w,name],\n zip(range_cells, range_weights, keys(settings[\"mark_ranges\"]))\n)"}, {"name": "notation_styles", "description": "

Accepted number notation styles for a value in an individual cell.

", "definition": "[\"plain\",\"si-en\"]"}], "settings": [{"name": "initial_sheet", "label": "Initial sheet", "help_url": "", "hint": "A spreadsheet object giving the initial state of the sheet that the student should fill in.", "input_type": "code", "default_value": "", "evaluate": true}, {"name": "correct_answer", "label": "Correct answer", "help_url": "", "hint": "A spreadsheet object representing a correct answer to the part.", "input_type": "code", "default_value": "", "evaluate": true}, {"name": "disable_ranges", "label": "Ranges to disable", "help_url": "", "hint": "A list of cell or range references, denoting the cells that should not be editable.", "input_type": "code", "default_value": "[]", "evaluate": true}, {"name": "mark_ranges", "label": "Ranges to mark", "help_url": "", "hint": "A dictionary of cell or range references, mapping names to ranges of cells, denoting the cells that should be compared for equality with the expected answer.", "input_type": "code", "default_value": "dict()", "evaluate": true}, {"name": "marking_method", "label": "Marking method", "help_url": "", "hint": "", "input_type": "dropdown", "default_value": "per_cell", "choices": [{"value": "per_cell", "label": "Each cell has the same weight"}, {"value": "per_range", "label": "Each range has the same weight"}]}, {"name": "tolerance", "label": "Allowed margin of error", "help_url": "", "hint": "", "input_type": "code", "default_value": "0", "evaluate": true}], "public_availability": "always", "published": true, "extensions": ["sheets"]}], "resources": [["question-resources/house-outline_nHd5Iw5.svg", "/srv/numbas/media/question-resources/house-outline_nHd5Iw5.svg"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Calculate areas of rooms in a house", "tags": [], "metadata": {"description": "

The student is shown a diagram with measurements of rooms in a house. They have to enter the measurements in a spreadsheet, then the area of each room, and finally the total area of the house.

", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "

A surveyor has measured the rooms in a house and produced the following drawing (not to scale):

\n

\"Plan

\n

Measurements are given in metres.

", "advice": "

First write in the dimensions given on the drawing:

\n

{update_range(dimensions_spreadsheet, \"B2:C6\", highlight_style)}

\n

Next, calculate the area of each room, by multiplying the width by the height. Round to the nearest cm2, or 0.0001 m2.

\n

{update_range(areas_spreadsheet, \"D2:D6\", highlight_style)}

\n

Then, add up the areas to find the total area:

\n

{update_range(filled_spreadsheet, \"D7\", highlight_style)}

", "rulesets": {}, "extensions": ["jsxgraph", "sheets"], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"dimensions_spreadsheet": {"name": "dimensions_spreadsheet", "group": "Spreadsheet", "definition": "fill_range(spreadsheet, \"B2:C6\", dimensions)", "description": "

The spreadsheet with the dimensions filled in but not the areas.

", "templateType": "anything", "can_override": false}, "spreadsheet": {"name": "spreadsheet", "group": "Spreadsheet", "definition": "disable_cells(raw_spreadsheet, [\"A1:D1\", \"A1:A7\", \"A7:C7\"])", "description": "", "templateType": "anything", "can_override": false}, "dimensions": {"name": "dimensions", "group": "Measurements", "definition": "[\n [x1+x2,y1],\n [x3,y1+y2+y3],\n [x1,y2],\n [x2,y2],\n [x1+x2,y3]\n]", "description": "", "templateType": "anything", "can_override": false}, "filled_spreadsheet": {"name": "filled_spreadsheet", "group": "Spreadsheet", "definition": "fill_range(areas_spreadsheet, \"D7\", [precround(total_area,4)])\n", "description": "

The completed spreadsheet, with the total area cell filled in.

", "templateType": "anything", "can_override": false}, "areas": {"name": "areas", "group": "Ungrouped variables", "definition": "map(x*y,[x,y],dimensions)", "description": "

The area of each room.

", "templateType": "anything", "can_override": false}, "names": {"name": "names", "group": "Ungrouped variables", "definition": "map(x[0],x,spreadsheet[\"A2:A6\"])", "description": "

Names of the rooms.

", "templateType": "anything", "can_override": false}, "dims": {"name": "dims", "group": "Ungrouped variables", "definition": "map(\"{dpformat(w,2)} \u00d7 {dpformat(h,2)}\",[w,h],dimensions)", "description": "

Strings describing the rooms' dimensions, to insert in the image.

", "templateType": "anything", "can_override": false}, "total_area": {"name": "total_area", "group": "Ungrouped variables", "definition": "sum(areas)", "description": "

The total area of the house.

", "templateType": "anything", "can_override": false}, "areas_spreadsheet": {"name": "areas_spreadsheet", "group": "Spreadsheet", "definition": "fill_range(dimensions_spreadsheet, \"D2:D6\", map(precround(x,4),x,areas))", "description": "

The spreadsheet with dimensions and areas filled in.

", "templateType": "anything", "can_override": false}, "highlight_style": {"name": "highlight_style", "group": "Ungrouped variables", "definition": "[\"style\": [\"fill\": [\"fgColor\": [\"rgb\": \"ccccff\"]]]]", "description": "

Style which fills in cells with a bright colour to highlight them.

", "templateType": "anything", "can_override": false}, "x1,x2,x3": {"name": "x1,x2,x3", "group": "Ungrouped variables", "definition": "repeat(random(1..2#0.01), 3)", "description": "

The three widths - the width of hallway 1, hallway 2, and the dining room.

", "templateType": "anything", "can_override": false}, "y1,y2,y3": {"name": "y1,y2,y3", "group": "Ungrouped variables", "definition": "repeat(random(1..2#0.01), 3)", "description": "

The three vertical measurements: kitchen, hallway, and living room.

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