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{"name": "CLE8. True false", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"preamble": {"css": "", "js": ""}, "rulesets": {}, "extensions": [], "advice": "<p>See all the lectures and workshops up to this point.</p>", "metadata": {"description": "<p>15 questions based on module&nbsp;so far.&nbsp;</p>", "licence": "Creative Commons Attribution 4.0 International"}, "variablesTest": {"condition": "", "maxRuns": 100}, "statement": "<p>This is a non-calculator question.</p>", "ungrouped_variables": [], "variables": {"c": {"definition": "random(6..9)", "description": "", "templateType": "anything", "name": "c", "group": "change these"}, "statements_true": {"definition": "[\"$\\\\log(ab) = \\\\log(a)+\\\\log(b)$\",\n\"$\\\\sin(ab) \\\\neq \\\\sin(a) \\\\sin(b)$\",\n\"$\\\\sqrt{ab} = \\\\sqrt{a}\\\\sqrt{b}$\",\n\"$e^{a+b} = e^ae^b$\",\n\"$\\\\dfrac{\\\\sqrt{a}}{b} = \\\\sqrt{\\\\dfrac{a}{b^2}}$\",\n\"'$ ^nC_r$' is pronounced '$n$ choose $r$ ' \",\n\"'$ n!$' is pronounced '$n$ factorial ' \",\n\"If $h$ is a small number, then $h^2$ is even smaller\",\n\"Unlike Maths 1, next semester the CLEs in Maths 2 will have weekly deadlines\",\n\"$ \\\\dfrac{6!}{3!} = 6 \\\\cdot 5 \\\\cdot 4$\",\n\"To get from a graph of $f(x)$ to a graph of $f(x)+3$, you translate up by 3\",\n\"To get from a graph of $f(x)$ to a graph of $f(x+3)$, you translate left by 3\",\n\"To get from a graph of $f(x)$ to a graph of $f(x-3)$, you translate right by 3\",\n\"To get from a graph of $f(x)$ to a graph of $3*f(x)$, you stretch vertically by a factor of 3\",\n\"To get from a graph of $f(x)$ to a graph of $f(3x)$, you compress horizontally by a factor of 3\",\n\"To get from a graph of $f(x)$ to a graph of $f(\\\\frac{1}{3}x)$, you stretch horizontally by a factor of 3\"\n]\n ", "description": "<p>[\"$\\\\log(ab) = \\\\log(a)+\\\\log(b)$\",<br />\"$\\\\sin(ab) \\\\neq \\\\sin(a) \\\\sin(b)$\",<br />\"$\\sqrt(ab) = \\\\sqrt(a)\\\\sqrt(b)$\",</p>\n<p>\"$e^{ab} = e^ae^b$\",</p>\n<p>\"$\\\\dfrac{\\\\sqrt{a}}{b} = \\\\sqrt{\\\\dfrac{a}{b^2}}$\",</p>\n<p>\"'$ ^nC_r$' is pronounced '$n$ choose $r$ ' \",</p>\n<p>\"'$ n!$' is pronounced '$n$&nbsp;factorial&nbsp;' \",</p>\n<p>\"If $h$&nbsp;is a small number, then $h^2$ is even smaller\",</p>\n<p>\"Unlike Maths 1, next semester the CLEs in Maths 2 will have weekly deadlines\",</p>\n<p>\"$ \\\\dfrac{6!}{3!} = 6 \\\\cdot 5 \\\\cdot 4$\",</p>\n<p>\"To get from a graph of $f(x)$ to a graph of $f(x)+3$, you translate up by 3\",</p>\n<p>\"To get from a graph of $f(x)$ to a graph of $f(x+3)$, you translate left by 3\",</p>\n<p>\"To get from a graph of $f(x)$ to a graph of $f(x-3)$, you translate&nbsp;right by 3\",</p>\n<p>\"To get from a graph of $f(x)$ to a graph of $3*f(x)$, you stretch vertically by a factor of 3\",</p>\n<p>\"To get from a graph of $f(x)$ to a graph of $f(3*x)$, you compress horizontally by a factor of 3\"<br />]</p>", "templateType": "anything", "name": "statements_true", "group": "change these"}, "statements": {"definition": "map(if(rand[j]=1,\n    statements_true[j],\n    statements_false[j]),j,0..n-1)", "description": "", "templateType": "anything", "name": "statements", "group": "do not change these"}, "a": {"definition": "random(3..7)", "description": "", "templateType": "anything", "name": "a", "group": "change these"}, "marks": {"definition": "matrix(map(if(rand[j]=1,[max_mark/n,-max_mark],[-max_mark,max_mark/n]),j,0..n-1))\n", "description": "", "templateType": "anything", "name": "marks", "group": "do not change these"}, "rand": {"definition": "repeat(random(0..1),n)", "description": "", "templateType": "anything", "name": "rand", "group": "do not change these"}, "b": {"definition": "random(10..18)+random(1..9)/10", "description": "", "templateType": "anything", "name": "b", "group": "change these"}, "statements_false": {"definition": "[\"$\\\\log(ab) = \\\\log(a)\\\\log(b)$\",\n\"$\\\\sin(ab) = \\\\sin(a) \\\\sin(b)$\",\n\"$\\\\sqrt{ab} = \\\\sqrt{a}+\\\\sqrt{b}$\",\n\"$e^{a+b} = e^a+e^b$\",\n\"$\\\\dfrac{\\\\sqrt{a}}{b} = \\\\sqrt{\\\\dfrac{a}{b}}$\",\n\"'$ ^nC_r$' is pronounced '$n$-see-$r$ ' \",\n\"'$ n!$' is pronounced '$n$ exclamation mark ' \",\n\"If $h$ is a small number, then $h^2$ is not even smaller\",\n\"Next semester the CLEs in Maths 2 will have similar deadlines to Maths 1 this semester\",\n\"$ \\\\dfrac{6!}{3!} = 2!$\",\n\"To get from a graph of $f(x)$ to a graph of $f(x)+3$, you translate right by 3\",\n\"To get from a graph of $f(x)$ to a graph of $f(x+3)$, you translate up by 3\",\n\"To get from a graph of $f(x)$ to a graph of $f(x-3)$, you translate left by 3\",\n\"To get from a graph of $f(x)$ to a graph of $3f(x)$, you stretch horizontally by a factor of 3\",\n\"To get from a graph of $f(x)$ to a graph of $f(3x)$, you stretch horizontally by a factor of 3\",\n\"To get from a graph of $f(x)$ to a graph of $f(\\\\frac{1}{3}x)$, you compress horizontally by a factor of 3\"\n  ]", "description": "", "templateType": "anything", "name": "statements_false", "group": "change these"}, "n": {"definition": "16", "description": "", "templateType": "anything", "name": "n", "group": "change these"}, "max_mark": {"definition": "10", "description": "", "templateType": "anything", "name": "max_mark", "group": "change these"}}, "variable_groups": [{"variables": ["statements_true", "statements_false", "max_mark", "n", "a", "b", "c"], "name": "change these"}, {"variables": ["rand", "statements", "marks"], "name": "do not change these"}], "functions": {}, "parts": [{"variableReplacements": [], "variableReplacementStrategy": "originalfirst", "scripts": {}, "maxAnswers": 0, "unitTests": [], "minAnswers": "{n}", "warningType": "none", "showCellAnswerState": true, "extendBaseMarkingAlgorithm": true, "answers": ["<p>True</p>", "<p>False</p>"], "matrix": "{marks}", "choices": "{statements}", "minMarks": 0, "marks": 0, "type": "m_n_x", "showFeedbackIcon": true, "customMarkingAlgorithm": "", "prompt": "<p>Which of the following are true and which are false? If you are unsure of something,&nbsp;find out the answer instead of guessing. A single error will result in a score 0 for the whole question. If you are unable to find out or understand the answer, you are welcome to ask me for help or advice.</p>", "showCorrectAnswer": true, "shuffleChoices": true, "shuffleAnswers": false, "displayType": "radiogroup", "maxMarks": "0", "layout": {"expression": "", "type": "all"}}], "name": "CLE8. True false", "tags": [], "type": "question", "contributors": [{"name": "Lovkush Agarwal", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1358/"}]}]}], "contributors": [{"name": "Lovkush Agarwal", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1358/"}]}