// Numbas version: finer_feedback_settings
{"name": "Breuken 4 hoofdbewerkingen", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Breuken 4 hoofdbewerkingen", "metadata": {"description": "<p>This is a set of questions designed to help you praction adding, subtracting, multiplying and dividing fractions.</p>\n<p>All of these can be done without a calculator</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "ungrouped_variables": ["j", "m", "p", "r", "t", "v", "x", "z", "bb", "dd", "ff", "hh", "jj", "ll", "nn", "pp", "rr", "tt", "h", "k", "l", "n", "o", "q", "s", "u", "w", "y", "aa", "cc", "ee", "gg", "ii", "kk", "mm", "oo", "qq", "ss"], "functions": {}, "extensions": [], "variables": {"gg": {"name": "gg", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(1..hh-1) //random numerator less than denominator"}, "t": {"name": "t", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(2..20) //random denominator"}, "pp": {"name": "pp", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(2,3,4,5,6,7,8,9,10,20) //random denominator"}, "n": {"name": "n", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(1..m-l) //random numerator less than denominator"}, "tt": {"name": "tt", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(2..20) //random denominator"}, "u": {"name": "u", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(-v+1..v-1 except [0,v]) //random numerator less than denominator"}, "r": {"name": "r", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(2..20) //random denominator"}, "kk": {"name": "kk", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(1..ll-1) //random numerator less than denominator"}, "j": {"name": "j", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(2..20) //random denominator"}, "ee": {"name": "ee", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(1..ff-1) //random numerator less than denominator"}, "nn": {"name": "nn", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(2,3,4,5,6,7,8,9,10,20) //random denominator"}, "mm": {"name": "mm", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(-nn+1..-1 except[0, nn]) //random numerator less than denominator"}, "rr": {"name": "rr", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(2..20) //random denominator"}, "p": {"name": "p", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(2..20) //random denominator"}, "oo": {"name": "oo", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(-pp+1..-1 except[0,pp]) //random numerator less than denominator"}, "cc": {"name": "cc", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(1..dd-1) //random numerator less than denominator"}, "qq": {"name": "qq", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(1..rr-1) //random numerator less than denominator"}, "x": {"name": "x", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(2,3,4,5,6,7,8,9,10,20) //random denominator"}, "w": {"name": "w", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(-10..10 except[0,x]) //random numerator less than denominator"}, "dd": {"name": "dd", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(2..20) //random denominator"}, "jj": {"name": "jj", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(2..20) //random denominator"}, "m": {"name": "m", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(2..20) //random denominator"}, "k": {"name": "k", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(1..j-h) //random numerator less than denominator"}, "aa": {"name": "aa", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(1..bb-1) //random numerator less than denominator"}, "bb": {"name": "bb", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(2..20) //random denominator"}, "y": {"name": "y", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(-10..5 except [0,z]) //random numerator less than denominator"}, "ii": {"name": "ii", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(1..jj-1) //random numerator less than denominator"}, "s": {"name": "s", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(-t+1..t-1 except[0,t]) //random numerator less than denominator"}, "hh": {"name": "hh", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(2..20) //random denominator"}, "ll": {"name": "ll", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(2..20) //random denominator"}, "z": {"name": "z", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(2,3,4,5,6,7,8,9,10..20) //random denominator"}, "v": {"name": "v", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(2..20) //random denominator"}, "l": {"name": "l", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(1..m-1) //random numerator less than denominator"}, "q": {"name": "q", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(-r+1..r-1 except [0,r]) //random numerator less than denominator"}, "h": {"name": "h", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(1..j-1) //random numerator less than denominator"}, "ff": {"name": "ff", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(2..20) //random denominator"}, "o": {"name": "o", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(-p+1..p-1 except [0,p]) //random numerator less than denominator"}, "ss": {"name": "ss", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(1..tt-1) //random numerator less than denominator"}}, "variable_groups": [], "rulesets": {}, "parts": [{"variableReplacements": [], "minValue": "(o*q)/(p*r)", "stepsPenalty": "0", "showCorrectAnswer": true, "correctAnswerStyle": "plain", "variableReplacementStrategy": "originalfirst", "notationStyles": ["plain", "en", "si-en"], "prompt": "<p>What is the answer to $\\frac{\\var{o}}{\\var{p}} \\times \\frac{\\var{q}}{\\var{r}}$?</p>", "type": "numberentry", "steps": [{"scripts": {}, "variableReplacements": [], "showFeedbackIcon": true, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "marks": 0, "prompt": "<p>Multiply the numerators to make the top of the fraction</p>\n<p>Multiply the denominators to make the bottom of the fraction</p>\n<p>Cancel down if you can</p>", "type": "information"}], "scripts": {}, "maxValue": "(o*q)/(p*r)", "mustBeReduced": true, "showFeedbackIcon": true, "correctAnswerFraction": true, "allowFractions": true, "marks": "1", "mustBeReducedPC": "50"}, {"variableReplacements": [], "minValue": "(s*v)/(u*t)", "stepsPenalty": "0", "showCorrectAnswer": true, "correctAnswerStyle": "plain", "variableReplacementStrategy": "originalfirst", "notationStyles": ["plain", "en", "si-en"], "prompt": "<p>What is the answer to $\\frac{\\var{s}}{\\var{t}} \\div \\frac{\\var{u}}{\\var{v}}$?</p>", "type": "numberentry", "steps": [{"scripts": {}, "variableReplacements": [], "showFeedbackIcon": true, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "marks": 0, "prompt": "<p>Flip the second fraction</p>\n<p>Multiply through as before</p>", "type": "information"}], "scripts": {}, "maxValue": "(s*v)/(u*t)", "mustBeReduced": true, "showFeedbackIcon": true, "correctAnswerFraction": true, "allowFractions": true, "marks": "1", "mustBeReducedPC": "50"}, {"variableReplacements": [], "minValue": "((w*z)+(y*x))/(x*z)", "stepsPenalty": "0", "showCorrectAnswer": true, "correctAnswerStyle": "plain", "variableReplacementStrategy": "originalfirst", "notationStyles": ["plain", "en", "si-en"], "prompt": "<p>What is the answer to $\\frac{\\var{w}}{\\var{x}} + \\frac{\\var{y}}{\\var{z}}$?</p>", "type": "numberentry", "steps": [{"scripts": {}, "variableReplacements": [], "showFeedbackIcon": true, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "marks": 0, "prompt": "<p>Check to see if the denominators are the same</p>\n<p>If they are not - multiply each fraction up to equivalent fractions with equal denominators</p>\n<p>Once they are equal add the numerators and put over the equal denominator</p>\n<p>Cancel down if needed</p>", "type": "information"}], "scripts": {}, "maxValue": "((w*z)+(y*x))/(x*z)", "mustBeReduced": true, "showFeedbackIcon": true, "correctAnswerFraction": true, "allowFractions": true, "marks": "1", "mustBeReducedPC": "50"}, {"variableReplacements": [], "minValue": "((aa*dd)-(cc*bb))/(bb*dd)", "stepsPenalty": "0", "showCorrectAnswer": true, "correctAnswerStyle": "plain", "variableReplacementStrategy": "originalfirst", "notationStyles": ["plain", "en", "si-en"], "prompt": "<p>What is the answer to $\\frac{\\var{aa}}{\\var{bb}} - \\frac{\\var{cc}}{\\var{dd}}$?</p>", "type": "numberentry", "steps": [{"scripts": {}, "variableReplacements": [], "showFeedbackIcon": true, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "marks": 0, "prompt": "<p>Check to see if the denominators are the same</p>\n<p>If they are not - multiply each fraction up to equivalent fractions with equal denominators</p>\n<p>Once they are equal subtract&nbsp;the numerators and put over the equal denominator</p>\n<p>Cancel down if needed</p>", "type": "information"}], "scripts": {}, "maxValue": "((aa*dd)-(cc*bb))/(bb*dd)", "mustBeReduced": true, "showFeedbackIcon": true, "correctAnswerFraction": true, "allowFractions": true, "marks": "1", "mustBeReducedPC": "50"}, {"variableReplacements": [], "minValue": "(ee*gg)/(ff*hh)", "stepsPenalty": "0", "showCorrectAnswer": true, "correctAnswerStyle": "plain", "variableReplacementStrategy": "originalfirst", "notationStyles": ["plain", "en", "si-en"], "prompt": "<p>What is the answer to $\\frac{\\var{ee}}{\\var{ff}} \\times&nbsp;\\frac{\\var{gg}}{\\var{hh}}$?</p>", "type": "numberentry", "steps": [{"scripts": {}, "variableReplacements": [], "showFeedbackIcon": true, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "marks": 0, "prompt": "<p>Follow through the steps from the first and fifth questions</p>", "type": "information"}], "scripts": {}, "maxValue": "(ee*gg)/(ff*hh)", "mustBeReduced": true, "showFeedbackIcon": true, "correctAnswerFraction": true, "allowFractions": true, "marks": "1", "mustBeReducedPC": "50"}, {"variableReplacements": [], "minValue": "(ii*ll)/(jj*kk)", "stepsPenalty": "0", "showCorrectAnswer": true, "correctAnswerStyle": "plain", "variableReplacementStrategy": "originalfirst", "notationStyles": ["plain", "en", "si-en"], "prompt": "<p>What is the answer to $\\frac{\\var{ii}}{\\var{jj}} \\div \\frac{\\var{kk}}{\\var{ll}}$?</p>", "type": "numberentry", "steps": [{"scripts": {}, "variableReplacements": [], "showFeedbackIcon": true, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "marks": 0, "prompt": "<p>Follow the steps from the second and sixth questions</p>", "type": "information"}], "scripts": {}, "maxValue": "(ii*ll)/(jj*kk)", "mustBeReduced": true, "showFeedbackIcon": true, "correctAnswerFraction": true, "allowFractions": true, "marks": "1", "mustBeReducedPC": "50"}, {"variableReplacements": [], "minValue": "((mm*pp)+(nn*oo))/(nn*pp)", "stepsPenalty": "0", "showCorrectAnswer": true, "correctAnswerStyle": "plain", "variableReplacementStrategy": "originalfirst", "notationStyles": ["plain", "en", "si-en"], "prompt": "<p>What is the answer to $\\frac{\\var{mm}}{\\var{nn}} + \\frac{\\var{oo}}{\\var{pp}}$?</p>", "type": "numberentry", "steps": [{"scripts": {}, "variableReplacements": [], "showFeedbackIcon": true, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "marks": 0, "prompt": "<p>Follow the steps from the third &nbsp;and seventh questions</p>", "type": "information"}], "scripts": {}, "maxValue": "((mm*pp)+(nn*oo))/(nn*pp)", "mustBeReduced": true, "showFeedbackIcon": true, "correctAnswerFraction": true, "allowFractions": true, "marks": "1", "mustBeReducedPC": "50"}, {"variableReplacements": [], "minValue": "((qq*tt)-(rr*ss))/(rr*tt)", "stepsPenalty": "0", "showCorrectAnswer": true, "correctAnswerStyle": "plain", "variableReplacementStrategy": "originalfirst", "notationStyles": ["plain", "en", "si-en"], "prompt": "<p>What is the answer to $\\frac{\\var{qq}}{\\var{rr}} - \\frac{\\var{ss}}{\\var{tt}}$?</p>", "type": "numberentry", "steps": [{"scripts": {}, "variableReplacements": [], "showFeedbackIcon": true, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "marks": 0, "prompt": "<p>Follow the steps from the fourth and eighth questions</p>", "type": "information"}], "scripts": {}, "maxValue": "((qq*tt)-(rr*ss))/(rr*tt)", "mustBeReduced": true, "showFeedbackIcon": true, "correctAnswerFraction": true, "allowFractions": true, "marks": "1", "mustBeReducedPC": "50"}], "advice": "", "statement": "<p>These are basic questions to help you practice adding, subtracting, multiplying and dividing fractions.</p>\n<p>You should be able to do these without a calculator.</p>\n<p>You can show steps to help you with the methods. &nbsp;You will lose marks for continuously veiwing steps.</p>", "preamble": {"css": "", "js": ""}, "tags": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "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/"}]}