In this question, each part has a pattern restriction, checking the student has given their answer in the required form.
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modulus argument form", "definition": "random(1 .. 10#1)", "description": "", "templateType": "randrange", "can_override": false}, "jd": {"name": "jd", "group": "Part j - don't use decimals", "definition": "2^random(0..3)*5^random(0,1)", "description": "", "templateType": "anything", "can_override": false}, "a": {"name": "a", "group": "Part b - expand brackets", "definition": "random(-5 .. 5#1)", "description": "", "templateType": "randrange", "can_override": false}, "bits": {"name": "bits", "group": "Ungrouped variables", "definition": "repeat(random(-3..3),3)", "description": "", "templateType": "anything", "can_override": false}, "lb": {"name": "lb", "group": "Part l - partial fractions", "definition": "random(-5..5 except [0,la])", "description": "", "templateType": "anything", "can_override": false}, "b": {"name": "b", "group": "Part b - expand brackets", "definition": "random(-5..5 except -a)", "description": "", "templateType": "anything", "can_override": false}, "cA": {"name": "cA", "group": "Part g - polynomial", "definition": "random(1,2,3)", "description": "", "templateType": "anything", "can_override": false}, "la": {"name": "la", "group": "Part l - partial fractions", "definition": "random(-5..5 except 0)", "description": "", "templateType": "anything", "can_override": false}, "n1": {"name": "n1", "group": "Part h - common denominator", "definition": "random(1..9 except map(n*d1,n,0..ceil(9/d1)))", "description": "", "templateType": "anything", "can_override": false}, "n": {"name": "n", "group": "Part a - write as sum of two integers", "definition": "random(4 .. 10#1)", "description": "", "templateType": "randrange", "can_override": false}, "p": {"name": "p", "group": "Part f - index notation", "definition": "random(0 .. 10#1)", "description": "", "templateType": "randrange", "can_override": false}, "coeffs": {"name": "coeffs", "group": "Ungrouped variables", "definition": "[\n bits[0]*bits[1]*bits[2],\n bits[0]*bits[1] + bits[0]*bits[2] + bits[2]*bits[1],\n bits[0] + bits[1] + bits[2],\n 1\n]", "description": "", "templateType": "anything", "can_override": false}, "kb": {"name": "kb", "group": "Part k - 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polynomial", "variables": ["cA", "cB"]}, {"name": "Part h - common denominator", "variables": ["n1", "d1", "n2", "d2"]}, {"name": "Part j - don't use decimals", "variables": ["jn", "jd"]}, {"name": "Part k - rationalise denominator", "variables": ["ka", "kb", "kc", "kn"]}, {"name": "Part l - partial fractions", "variables": ["la", "lb"]}], "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": "$\\simplify{{jn}x = {jd}y}$
\nFind $y$. Don't use decimals. You'll get a penalty if you use a decimal in your answer.
\n$y = $ [[0]]
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", "answer": "{n1*d2}/{d1*d2} + {n2*d1}/{d1*d2}", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "caseSensitive": false, "mustmatchpattern": {"pattern": "(`+-($n/$n;=d))`* + $z", "partialCredit": 0, "message": "All your fractions must be over the same denominator.", "nameToCompare": ""}, "valuegenerators": []}, {"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "Expand $\\simplify{(x+{a})(x+{b})}$
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\n$z_2 = \\var{z2}$
\nWrite $z_1+z_2$ in the form $a+bi$
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