HELM Book 1.2.1 exercises
", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "duration": 0, "percentPass": 0, "showQuestionGroupNames": false, "shuffleQuestionGroups": false, "showstudentname": true, "question_groups": [{"name": "Group", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questionNames": ["", "", "", "", ""], "variable_overrides": [[], [], [], [], []], "questions": [{"name": "1.2.1.1 Non-calculator index notation evaluation", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Merryn Horrocks", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4052/"}], "tags": [], "metadata": {"description": "Asks students to compute (base)^index without a calculator for two simple questions. Part of HELM Book 1.2
", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "Evaluate, without using a calculator,
", "advice": "(a) $\\var{base1}^\\var{index1} =\\var{base1^index1}$
\n(b) $\\var{base2}^2 =\\var{base2^2}$
\n", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"base1": {"name": "base1", "group": "Ungrouped variables", "definition": "random(2,3)", "description": "", "templateType": "anything", "can_override": false}, "index1": {"name": "index1", "group": "Ungrouped variables", "definition": "random(2..5)", "description": "", "templateType": "anything", "can_override": false}, "base2": {"name": "base2", "group": "Ungrouped variables", "definition": "decimal(random(2..15)/10)", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["base1", "index1", "base2"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "(a) $\\var{base1}^\\var{index1} = $ [[0]]
\n(b) $\\var{base2}^2 = $ [[1]]
", "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "part a", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{base1}^{index1}", "maxValue": "{base1}^{index1}", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "part b", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{base2}^2", "maxValue": "{base2}^2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "1.2.1.2 Calculator index notation evaluation", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Merryn Horrocks", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4052/"}], "tags": [], "metadata": {"description": "Use a calculator to compute (base)^index. Part of HELM Book 1.2
", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "Evaluate using a calculator
", "advice": "Using a calculator,
\n(a) $\\var{base3}^\\var{index3} = \\var{base3^index3}$
\n(b) $(\\var{base4})^\\var{index4} = \\var{ans4}$
", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"base3": {"name": "base3", "group": "Ungrouped variables", "definition": "random(4..29)", "description": "", "templateType": "anything", "can_override": false}, "index3": {"name": "index3", "group": "Ungrouped variables", "definition": "random(3..8)", "description": "", "templateType": "anything", "can_override": false}, "base4": {"name": "base4", "group": "Ungrouped variables", "definition": "random(2..6)", "description": "", "templateType": "anything", "can_override": false}, "index4": {"name": "index4", "group": "Ungrouped variables", "definition": "decimal(random(1..49 except [10,20,30,40])/10)", "description": "", "templateType": "anything", "can_override": false}, "ans4": {"name": "ans4", "group": "Ungrouped variables", "definition": "precround(base4^index4,1)", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["base3", "index3", "base4", "index4", "ans4"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "(a) $\\var{base3}^\\var{index3} = $ [[0]]
\n(b) $(\\var{base4})^\\var{index4} = $[[1]]
", "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "part a", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{base3}^{index3}", "maxValue": "{base3}^{index3}", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "part b", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{ans4}", "maxValue": "{ans4}", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": "1", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "1.2.1.3 Write values using index notation", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Merryn Horrocks", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4052/"}], "tags": [], "metadata": {"description": "Students are given three expanded products and asked to write them in index notation. Part of HELM Book 1.2
", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "Write each of the following using index notation.
\nTo enter $3\\times\\left(\\frac{2}{7}\\right)^4$, type 3*(2/7)^4.
(a) $\\var{Q3aExpansion}=\\var{expression(Q3aBase)}^\\var{Q3aIdx}$
\n(b) $\\var{Q3dExpansion}=\\left(\\frac{\\var{Q3dBaseNum}}{\\var{Q3dBaseDen}}\\right)^{\\var{Q3dIdx}}$
\n(c) $\\var{Q3bExpansion}=\\var{expression(Q3bBase1)}^\\var{Q3bIdx1}\\var{expression(Q3bBase2)}^\\var{Q3bIdx2}$
", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"Q3aBase": {"name": "Q3aBase", "group": "q3a", "definition": "random(random(['a','b','c','d','f','g','h','k','m','n','p','q','r','s','t','u','v','w','x','y','z']),string(random(2..29)))", "description": "", "templateType": "anything", "can_override": false}, "Q3aIdx": {"name": "Q3aIdx", "group": "q3a", "definition": "random(2..8)", "description": "", "templateType": "anything", "can_override": false}, "q3aBlockBit": {"name": "q3aBlockBit", "group": "q3a", "definition": "latex(Q3aBase + ' ' + '\\\\\\times')", "description": "", "templateType": "anything", "can_override": false}, "q3aExpansion": {"name": "q3aExpansion", "group": "q3a", "definition": "latex(join(iterate(x,x,Q3aBlockBit,q3aIdx-2),\" \")+' '+Q3aBase)", "description": "", "templateType": "anything", "can_override": false}, "q3bAlphabet": {"name": "q3bAlphabet", "group": "q3b", "definition": "shuffle(['a','b','c','d','f','g','h','k','m','n','p','q','r','s','t','u','v','w','x','y','z'])", "description": "", "templateType": "anything", "can_override": false}, "q3bIdxDeal": {"name": "q3bIdxDeal", "group": "q3b", "definition": "shuffle(2..8)[0..2]", "description": "", "templateType": "anything", "can_override": false}, "q3bBase1": {"name": "q3bBase1", "group": "q3b", "definition": "q3bAlphabet[0]", "description": "", "templateType": "anything", "can_override": false}, "q3bBase2": {"name": "q3bBase2", "group": "q3b", "definition": "q3bAlphabet[1]", "description": "", "templateType": "anything", "can_override": false}, "q3bIdx1": {"name": "q3bIdx1", "group": "q3b", "definition": "Q3bIdxDeal[0]", "description": "", "templateType": "anything", "can_override": false}, "q3bIdx2": {"name": "q3bIdx2", "group": "q3b", "definition": "Q3bIdxDeal[1]", "description": "", "templateType": "anything", "can_override": false}, "q3bBlockBit1": {"name": "q3bBlockBit1", "group": "q3b", "definition": "latex(Q3bBase1 + ' '+ '\\\\\\times')", "description": "", "templateType": "anything", "can_override": false}, "q3bBlockBit2": {"name": "q3bBlockBit2", "group": "q3b", "definition": "latex(Q3bBase2 + ' ' + '\\\\\\times')", "description": "", "templateType": "anything", "can_override": false}, "q3bExpansion": {"name": "q3bExpansion", "group": "q3b", "definition": "latex(\nlatex(join(iterate(x,x,Q3bBlockBit1,q3bIdx1-2),\" \"))+\" \"+q3bbase1\n+ latex(\"\\\\times\") + \" \" +\nlatex(join(iterate(x,x,Q3bBlockBit2,q3bIdx2-2),\" \"))+\" \"+q3bbase2\n)", "description": "", "templateType": "anything", "can_override": false}, "q3dBaseNum": {"name": "q3dBaseNum", "group": "q3d", "definition": "random(1..9)", "description": "", "templateType": "anything", "can_override": false}, "q3dBaseDen": {"name": "q3dBaseDen", "group": "q3d", "definition": "random(2..10)", "description": "", "templateType": "anything", "can_override": false}, "q3dIdx": {"name": "q3dIdx", "group": "q3d", "definition": "random(2..7)", "description": "", "templateType": "anything", "can_override": false}, "q3dBlockBit": {"name": "q3dBlockBit", "group": "q3d", "definition": "latex('\\\\\\frac{'+Q3DBaseNum+'}{'+Q3dBaseDen + '} '+ '\\\\\\times')", "description": "", "templateType": "anything", "can_override": false}, "q3dExpansion": {"name": "q3dExpansion", "group": "q3d", "definition": "latex(join(iterate(x,x,Q3dBlockBit,q3dIdx-2),\" \")+' '+'\\\\\\frac{'+Q3DBaseNum+'}{'+Q3dBaseDen + '} ')", "description": "", "templateType": "anything", "can_override": false}, "q3bBase1e": {"name": "q3bBase1e", "group": "q3b", "definition": "expression(q3bBase1)", "description": "For display
", "templateType": "anything", "can_override": false}, "q3bBase2e": {"name": "q3bBase2e", "group": "q3b", "definition": "expression(q3bBase2)", "description": "For display
", "templateType": "anything", "can_override": false}, "q3aBasee": {"name": "q3aBasee", "group": "q3a", "definition": "expression(q3abase)", "description": "for display in the advice.
", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [{"name": "q3a", "variables": ["Q3aBase", "Q3aIdx", "q3aBlockBit", "q3aExpansion", "q3aBasee"]}, {"name": "q3b", "variables": ["q3bAlphabet", "q3bIdxDeal", "q3bBase1", "q3bBase2", "q3bIdx1", "q3bIdx2", "q3bBlockBit1", "q3bBlockBit2", "q3bExpansion", "q3bBase1e", "q3bBase2e"]}, {"name": "q3d", "variables": ["q3dBaseNum", "q3dBaseDen", "q3dIdx", "q3dBlockBit", "q3dExpansion"]}], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "(a) $\\var{Q3aExpansion}$ = [[0]]
\n(b) $\\var{Q3dExpansion}$ = [[1]]
\n(c) $\\var{Q3bExpansion} =$ [[2]]
", "gaps": [{"type": "jme", "useCustomName": true, "customName": "a", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{expression(Q3aBase)}^{Q3aIdx}", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": true, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "caseSensitive": false, "musthave": {"strings": ["^"], "showStrings": false, "partialCredit": 0, "message": "You must write your answer using an index"}, "valuegenerators": []}, {"type": "jme", "useCustomName": true, "customName": "b", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{(Q3dBaseNum/Q3dBaseDen)^Q3dIdx}", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": true, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "caseSensitive": false, "musthave": {"strings": ["^"], "showStrings": false, "partialCredit": 0, "message": "You must write your answer using an index"}, "valuegenerators": []}, {"type": "jme", "useCustomName": true, "customName": "c", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{expression(Q3bBase1)}^{Q3bIdx1}*{expression(Q3bBase2)}^{Q3bIdx2}", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": true, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "caseSensitive": false, "musthave": {"strings": ["^"], "showStrings": false, "partialCredit": 0, "message": "You must write your answer using indices."}, "valuegenerators": []}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "1.2.1.4 Evaluate a fraction to a power (non-calculator)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Merryn Horrocks", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4052/"}], "tags": [], "metadata": {"description": "Evaluate a simple fraction squared or cubed. Part of HELM Book 1.2
", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "Evaluate without using a calculator. Leave any fractions in frational form.
\nNote: to type $(\\frac{2}{3})^6$, type (2/3)^6.
\\[\\left(\\frac{\\var{Q4num}}{\\var{Q4den}}\\right)^{\\var{Q4idx}}=\\frac{\\var{Q4num}^{\\var{Q4idx}}}{\\var{Q4den}^{\\var{Q4idx}}}=\\frac{\\var{Q4num^Q4idx} }{\\var{Q4den^Q4idx} }\\]
", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"q4num": {"name": "q4num", "group": "Ungrouped variables", "definition": "random(1..5)", "description": "", "templateType": "anything", "can_override": false}, "q4den": {"name": "q4den", "group": "Ungrouped variables", "definition": "random(2..5 except q4num)", "description": "", "templateType": "anything", "can_override": false}, "q4idx": {"name": "q4idx", "group": "Ungrouped variables", "definition": "random(2..3)", "description": "", "templateType": "anything", "can_override": false}, "q4ans": {"name": "q4ans", "group": "Ungrouped variables", "definition": "(Q4num/Q4den)^Q4idx", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["q4num", "q4den", "q4idx", "q4ans"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "$\\left(\\frac{\\var{Q4num}}{\\var{Q4den}}\\right)^{\\var{Q4idx}}=$[[0]]
", "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "answer", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{q4ans}", "maxValue": "{q4ans}", "correctAnswerFraction": true, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": "50", "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "1.2.1.4 Evaluate a decimal to a power (non-calculator)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Merryn Horrocks", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4052/"}], "tags": [], "metadata": {"description": "Evaluate a decimal: either 0.1,0.2,0.3,0.4,0.01,0.02,0.03,0.04 squared or cubed. Part of HELM Book 1.2
", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "Evaluate without using a calculator.
", "advice": "$\\var{Q4num}^{\\var{Q4idx}}=\\var{Q4num^Q4idx}$
", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"q4num": {"name": "q4num", "group": "Ungrouped variables", "definition": "random([0.1,0.2,0.3,0.4,0.01,0.02,0.03,0.04])", "description": "", "templateType": "anything", "can_override": false}, "q4den": {"name": "q4den", "group": "Ungrouped variables", "definition": "1", "description": "", "templateType": "anything", "can_override": false}, "q4idx": {"name": "q4idx", "group": "Ungrouped variables", "definition": "random(2..3)", "description": "", "templateType": "anything", "can_override": false}, "q4ans": {"name": "q4ans", "group": "Ungrouped variables", "definition": "(Q4num)^Q4idx", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["q4num", "q4den", "q4idx", "q4ans"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "$\\var{Q4num}^{\\var{Q4idx}}=$[[0]]
", "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "answer", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{q4ans}", "maxValue": "{q4ans}", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": "50", "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}]}], "allowPrinting": true, "navigation": {"allowregen": true, "reverse": true, "browse": true, "allowsteps": true, "showfrontpage": true, "showresultspage": "oncompletion", "navigatemode": "menu", "onleave": {"action": "none", "message": ""}, "preventleave": true, "startpassword": "", "allowAttemptDownload": false, "downloadEncryptionKey": ""}, "timing": {"allowPause": true, "timeout": {"action": "none", "message": ""}, "timedwarning": {"action": "none", "message": ""}}, "feedback": {"showactualmark": true, "showtotalmark": true, "showanswerstate": true, "allowrevealanswer": true, "advicethreshold": 0, "intro": "Work through these practice questions. You can try each question as many times as you like. The numbers will change each time. Some of the questions are randomly chosen, so if you re-open this set of exercises you may see some different questions.
", "end_message": "", "reviewshowscore": true, "reviewshowfeedback": true, "reviewshowexpectedanswer": true, "reviewshowadvice": true, "feedbackmessages": []}, "diagnostic": {"knowledge_graph": {"topics": [], "learning_objectives": []}, "script": "diagnosys", "customScript": ""}, "contributors": [{"name": "Merryn Horrocks", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4052/"}], "extensions": [], "custom_part_types": [], "resources": []}