// Numbas version: exam_results_page_options
{"name": "Volgorde met natuurlijke getallen", "extensions": [], "custom_part_types": [], "resources": [["question-resources/bodmas_lwkojSI.png", "/srv/numbas/media/question-resources/bodmas_lwkojSI.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"preamble": {"js": "", "css": ""}, "parts": [{"gaps": [{"showFeedbackIcon": true, "allowFractions": false, "marks": 1, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "correctAnswerFraction": false, "variableReplacementStrategy": "originalfirst", "mustBeReducedPC": 0, "variableReplacements": [], "type": "numberentry", "correctAnswerStyle": "plain", "scripts": {}, "minValue": "{ans1}", "showCorrectAnswer": true, "maxValue": "{ans1}"}], "showFeedbackIcon": true, "prompt": "<p>$\\var{numberlow[0]} \\cdot \\var{numberlow[1]} + \\var{numberlow[2]}$</p>\n<p>[[0]]</p>", "variableReplacements": [], "marks": 0, "type": "gapfill", "scripts": {}, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst"}, {"gaps": [{"showFeedbackIcon": true, "allowFractions": false, "marks": 1, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "correctAnswerFraction": false, "variableReplacementStrategy": "originalfirst", "mustBeReducedPC": 0, "variableReplacements": [], "type": "numberentry", "correctAnswerStyle": "plain", "scripts": {}, "minValue": "{ans2}", "showCorrectAnswer": true, "maxValue": "{ans2}"}], "showFeedbackIcon": true, "prompt": "<p>$\\var{numberlow[7]} \\cdot (\\var{numberlow[3]} + \\var{numberlow[6]})$</p>\n<p>[[0]]</p>", "variableReplacements": [], "marks": 0, "type": "gapfill", "scripts": {}, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst"}, {"gaps": [{"showFeedbackIcon": true, "allowFractions": false, "marks": 1, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "correctAnswerFraction": false, "variableReplacementStrategy": "originalfirst", "mustBeReducedPC": 0, "variableReplacements": [], "type": "numberentry", "correctAnswerStyle": "plain", "scripts": {}, "minValue": "{ans3}", "showCorrectAnswer": true, "maxValue": "{ans3}"}], "showFeedbackIcon": true, "prompt": "<p>$\\var{num3b} - \\var{num3a} \\div \\var{numberlow[5]}$</p>\n<p>[[0]]</p>", "variableReplacements": [], "marks": 0, "type": "gapfill", "scripts": {}, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst"}, {"gaps": [{"showFeedbackIcon": true, "allowFractions": false, "marks": 1, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "correctAnswerFraction": false, "variableReplacementStrategy": "originalfirst", "mustBeReducedPC": 0, "variableReplacements": [], "type": "numberentry", "correctAnswerStyle": "plain", "scripts": {}, "minValue": "{ans4}", "showCorrectAnswer": true, "maxValue": "{ans4}"}], "showFeedbackIcon": true, "prompt": "<p>$\\var{numberlow[8]} + \\var{numberlow[4]} \\cdot (\\var{numberlow[3]} + \\var{numsq[0]})$</p>\n<p>[[0]]</p>", "variableReplacements": [], "marks": 0, "type": "gapfill", "scripts": {}, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst"}, {"gaps": [{"showFeedbackIcon": true, "allowFractions": false, "marks": 1, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "correctAnswerFraction": false, "variableReplacementStrategy": "originalfirst", "mustBeReducedPC": 0, "variableReplacements": [], "type": "numberentry", "correctAnswerStyle": "plain", "scripts": {}, "minValue": "{ans5}", "showCorrectAnswer": true, "maxValue": "{ans5}"}], "showFeedbackIcon": true, "prompt": "<p>$(\\var{numberlow[1]} + \\var{numberlow[7]}) \\cdot \\var{numberlow[8]} + \\var{numsq[1]}$</p>\n<p>[[0]]</p>", "variableReplacements": [], "marks": 0, "type": "gapfill", "scripts": {}, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst"}, {"gaps": [{"showFeedbackIcon": true, "allowFractions": false, "marks": 1, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "correctAnswerFraction": false, "variableReplacementStrategy": "originalfirst", "mustBeReducedPC": 0, "variableReplacements": [], "type": "numberentry", "correctAnswerStyle": "plain", "scripts": {}, "minValue": "{ans6}", "showCorrectAnswer": true, "maxValue": "{ans6}"}], "showFeedbackIcon": true, "prompt": "<p>$\\var{numberlow[6]} +\\var{numsq[0]}\\cdot\\var{numberlow[0]}^2 &nbsp;$</p>\n<p>[[0]]</p>", "variableReplacements": [], "marks": 0, "type": "gapfill", "scripts": {}, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst"}, {"gaps": [{"showFeedbackIcon": true, "allowFractions": false, "marks": 1, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "correctAnswerFraction": false, "variableReplacementStrategy": "originalfirst", "mustBeReducedPC": 0, "variableReplacements": [], "type": "numberentry", "correctAnswerStyle": "plain", "scripts": {}, "minValue": "{ans7}", "showCorrectAnswer": true, "maxValue": "{ans7}"}], "showFeedbackIcon": true, "prompt": "<p>$\\var{numberlow[4]} \\cdot \\var{numberlow[9]} - \\var{numsq1} \\div \\var{numberlow[2]}$</p>\n<p>[[0]]</p>", "variableReplacements": [], "marks": 0, "type": "gapfill", "scripts": {}, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst"}, {"gaps": [{"showFeedbackIcon": true, "allowFractions": false, "marks": 1, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "correctAnswerFraction": false, "variableReplacementStrategy": "originalfirst", "mustBeReducedPC": 0, "variableReplacements": [], "type": "numberentry", "correctAnswerStyle": "plain", "scripts": {}, "minValue": "{ans8}", "showCorrectAnswer": true, "maxValue": "{ans8}"}], "showFeedbackIcon": true, "prompt": "<p>$(\\var{numsq2[1]} - \\var{numsq[1]})^2$</p>\n<p>[[0]]</p>", "variableReplacements": [], "marks": 0, "type": "gapfill", "scripts": {}, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst"}, {"gaps": [{"showFeedbackIcon": true, "allowFractions": false, "marks": 1, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "correctAnswerFraction": false, "variableReplacementStrategy": "originalfirst", "mustBeReducedPC": 0, "variableReplacements": [], "type": "numberentry", "correctAnswerStyle": "plain", "scripts": {}, "minValue": "{ans9}", "showCorrectAnswer": true, "maxValue": "{ans9}"}], "showFeedbackIcon": true, "prompt": "<p>$(\\var{numsq2[0]} - \\var{numsq[0]})^2 \\cdot \\var{numsq3} \\div&nbsp;\\var{numberlow[6]}$</p>\n<p>[[0]]</p>", "variableReplacements": [], "marks": 0, "type": "gapfill", "scripts": {}, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst"}, {"gaps": [{"showFeedbackIcon": true, "allowFractions": false, "marks": 1, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "correctAnswerFraction": false, "variableReplacementStrategy": "originalfirst", "mustBeReducedPC": 0, "variableReplacements": [], "type": "numberentry", "correctAnswerStyle": "plain", "scripts": {}, "minValue": "{ans10}", "showCorrectAnswer": true, "maxValue": "{ans10}"}], "showFeedbackIcon": true, "prompt": "<p>$\\var{numsq2[1]} \\cdot \\var{numsq[0]}^2&nbsp;- \\var{numsq4} \\div&nbsp;\\var{numberlow[3]}$</p>\n<p>[[0]]</p>", "variableReplacements": [], "marks": 0, "type": "gapfill", "scripts": {}, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst"}], "variables": {"numsq1": {"name": "numsq1", "definition": "numberlow[2] * numsq[0]", "templateType": "anything", "description": "", "group": "Ungrouped variables"}, "ans7": {"name": "ans7", "definition": "numberlow[4] * numberlow[9] - {numsq1} / numberlow[2]\n", "templateType": "anything", "description": "", "group": "Ungrouped variables"}, "num3a": {"name": "num3a", "definition": "numberlow[5] * numberlow[2]", "templateType": "anything", "description": "", "group": "Ungrouped variables"}, "numsq2": {"name": "numsq2", "definition": "shuffle(4..6)[0..2]", "templateType": "anything", "description": "", "group": "Ungrouped variables"}, "numberhigh": {"name": "numberhigh", "definition": "random(18..25)", "templateType": "anything", "description": "", "group": "Ungrouped variables"}, "numsq": {"name": "numsq", "definition": "shuffle(2..3)[0..2]", "templateType": "anything", "description": "", "group": "Ungrouped variables"}, "ans5": {"name": "ans5", "definition": "(numberlow[1] + numberlow[7]) * numberlow[8] + numsq[1]", "templateType": "anything", "description": "", "group": "Ungrouped variables"}, "ans8": {"name": "ans8", "definition": "(numsq2[1] - numsq[1])^2", "templateType": "anything", "description": "", "group": "Ungrouped variables"}, "ans1": {"name": "ans1", "definition": "numberlow[0] * numberlow[1] + numberlow[2]", "templateType": "anything", "description": "", "group": "Ungrouped variables"}, "ans6": {"name": "ans6", "definition": "numberlow[6] + numberlow[0]^2 * numsq[0]", "templateType": "anything", "description": "", "group": "Ungrouped variables"}, "ans2": {"name": "ans2", "definition": "numberlow[7] * (numberlow[3] + numberlow[6])", "templateType": "anything", "description": "", "group": "Ungrouped variables"}, "ans3": {"name": "ans3", "definition": "{num3b} - {num3a} / numberlow[5]", "templateType": "anything", "description": "", "group": "Ungrouped variables"}, "num3b": {"name": "num3b", "definition": "{num3a} + {numberhigh}", "templateType": "anything", "description": "", "group": "Ungrouped variables"}, "numsq3": {"name": "numsq3", "definition": "numberlow[6] * numsq[1]", "templateType": "anything", "description": "", "group": "Ungrouped variables"}, "numberlow": {"name": "numberlow", "definition": "shuffle(1..12)[0..12]", "templateType": "anything", "description": "", "group": "Ungrouped variables"}, "numsq4": {"name": "numsq4", "definition": "numberlow[3] * numsq[0]", "templateType": "anything", "description": "", "group": "Ungrouped variables"}, "ans4": {"name": "ans4", "definition": "numberlow[8] + numberlow[4] * (numberlow[3] + {numsq[0])", "templateType": "anything", "description": "", "group": "Ungrouped variables"}, "ans10": {"name": "ans10", "definition": "numsq2[1] * numsq[0]^2 - {numsq4} / numberlow[3]", "templateType": "anything", "description": "", "group": "Ungrouped variables"}, "ans9": {"name": "ans9", "definition": "(numsq2[0] - numsq[0])^2 * {numsq3} / numberlow[6]\n  ", "templateType": "anything", "description": "", "group": "Ungrouped variables"}}, "functions": {}, "ungrouped_variables": ["numberlow", "ans1", "ans2", "num3a", "numberhigh", "num3b", "ans3", "ans4", "ans5", "ans6", "numsq", "numsq1", "ans7", "numsq2", "ans8", "numsq3", "ans9", "numsq4", "ans10"], "statement": "<p>Bereken ZONDER rekenmachine met de juiste volgorde van bewerkingen.&nbsp;</p>\n<p>Noteer de opgave eerst op een kladblad en maak daar alle berekeningen.&nbsp;</p>\n<p>1&deg; Bewerkingen in de haken</p>\n<p><strong>2&deg; Machten en vierkantswortels</strong></p>\n<p>3&deg; Vermenigvuldigen en delen van links naar rechts</p>\n<p>4&deg; Optellen en aftrekken van links naar rechts</p>\n<p></p>", "extensions": [], "rulesets": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "variable_groups": [], "name": "Volgorde met natuurlijke getallen", "advice": "<p>Part 1:</p>\n<p>i) $\\var{numberlow[0]} \\times&nbsp;\\var{numberlow[1]} + \\var{numberlow[2]} = \\var{ans1}$</p>\n<p>ii) $\\var{numberlow[0]} \\times&nbsp;(\\var{numberlow[1]} + \\var{numberlow[2]}) = \\var{ans2}$</p>\n<p>iii) $\\var{num3b}&nbsp;-&nbsp;\\var{num3a} \\div&nbsp;\\var{numberlow[5]} = \\var{ans3}$</p>\n<p>iv) $\\var{numberlow[8]} + \\var{numberlow[4]} \\times&nbsp;(\\var{numberlow[3]} + \\var{numsq[0]}) = \\var{ans4}$</p>\n<p>v) $(\\var{numberlow[1]} + \\var{numberlow[7]}) \\times \\var{numberlow[8]} + \\var{numsq[1]} = \\var{ans5}$</p>\n<p>vi) $\\var{numberlow[6]} + \\var{numberlow[0]}^2 \\times&nbsp;\\var{numsq[0]} = \\var{ans6}$</p>\n<p>vii) $\\var{numberlow[4]} \\times&nbsp;\\var{numberlow[9]} - \\var{numsq1} \\div \\var{numberlow[2]} = \\var{ans7}$</p>\n<p>viii) $(\\var{numsq2[1]} - \\var{numsq[1]})^2 = \\var{ans8}$</p>\n<p>ix) $(\\var{numsq2[0]} - \\var{numsq[0]})^2 * \\var{numsq3} \\div&nbsp;\\var{numberlow[6]} = \\var{ans9}$</p>\n<p>x) $\\var{numsq2[1]} \\times&nbsp;\\var{numsq[0]}^2&nbsp;- \\var{numsq4} \\div&nbsp;\\var{numberlow[3]} = \\var{ans10}$</p>", "metadata": {"description": "<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "tags": [], "type": "question", "contributors": [{"name": "Johan Maertens", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1301/"}]}]}], "contributors": [{"name": "Johan Maertens", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1301/"}]}