First assessment in 2021/22 for Foundation Mathematics, counts 5% towards the module total.
", "licence": "All rights reserved"}, "duration": 14400, "percentPass": 0, "showQuestionGroupNames": false, "shuffleQuestionGroups": false, "showstudentname": true, "question_groups": [{"name": "All", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questionNames": ["", "", "", "", "", "", ""], "variable_overrides": [[], [], [], [], [], [], []], "questions": [{"name": "Rules for indices", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "John Appleby", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/5728/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "Rewrite this expression without brackets, using the rules for indices (powers): $(\\var{a} x^\\var{b})^\\var{c}=px^q$
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", "minValue": "b*c", "maxValue": "b*c", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Factorising a quadratic function", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "John Appleby", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/5728/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "Write the quadratic function $\\simplify{z^2+{a+b}z+{a*b}}$ in the form $(z+c)(z+d)$, where $c<d$.
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\n$\\large{\\frac{\\var{a}}{2x^2}+\\frac{\\var{b}}{x(x-2)}}$.
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\n$(\\var{a},\\var{b})$ and $(\\var{c},\\var{d})$.
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