True

", "False

"], "shuffleChoices": true, "displayType": "radiogroup", "matrix": "{marks}", "customMarkingAlgorithm": "", "layout": {"type": "all", "expression": ""}, "prompt": "Which of the following are true and which are false?

\n\nIf you are unsure of something, find out the answer instead of guessing. **A single error will result in a score 0 for this question**. If you are unable to find out, you are welcome to ask me for help or advice.

See Lectures 2.1, 2.3 and 2.4 for background facts and examples.

", "variable_groups": [{"variables": ["statements_true", "statements_false", "max_mark", "error", "a"], "name": "change these"}, {"variables": ["n", "rand", "statements", "marks"], "name": "do not change these"}], "variables": {"max_mark": {"templateType": "anything", "description": "", "group": "change these", "definition": "5", "name": "max_mark"}, "n": {"templateType": "anything", "description": "", "group": "do not change these", "definition": "length(statements_true)", "name": "n"}, "a": {"templateType": "anything", "description": "", "group": "change these", "definition": "random(3..5)", "name": "a"}, "statements_false": {"templateType": "anything", "description": "", "group": "change these", "definition": "[\"Solving an equation means finding the answer\",\n \"To divide two fractions, you first make their denominators equal\",\n \"To multiply two fractions, you first make their denominators equal\",\n \"Dividing by $\\\\frac{1}{\\\\var{a}}$ is the same as multiplying by $\\\\frac{1}{\\\\var{a}}$\",\n \"Dividing by $0.01$ is the same as dividing by $100$\",\n \"Dividing by $0.33$ is the same as multiplying by $3$\",\n \"The circumference of a circle of radius $r$ is $\\\\pi r$\",\n \"$1$ radian is equal to $180^{\\\\circ}$\"]", "name": "statements_false"}, "rand": {"templateType": "anything", "description": "", "group": "do not change these", "definition": "repeat(if(random(0..2)=2,1,0),n)", "name": "rand"}, "statements_true": {"templateType": "anything", "description": "", "group": "change these", "definition": "[\"Solving an equation means finding all values of the unknown which makes the equation true\",\n \"To add two fractions, you first make their denominators equal\",\n \"To subtract two fractions, you first make their denominators equal\",\n \"Dividing by $\\\\frac{1}{\\\\var{a}}$ is the same as multiplying by $\\\\var{a}$\",\n \"Multiplying by $0.01$ is the same as dividing by $100$\",\n \"Dividing by $0.33$ is approximately the same as multiplying by $3$\",\n \"The circumference of a circle of radius $r$ is $2\\\\pi r$\",\n \"$\\\\pi$ radians are equal to $180^{\\\\circ}$\"]\n", "name": "statements_true"}, "error": {"templateType": "anything", "description": "what proportion of total marks should be lost for each error. e.g. 1/2 would mean a single error costs half of all marks available. 1/3 would mean each error costs a third of all marks.

", "group": "change these", "definition": "1", "name": "error"}, "marks": {"templateType": "anything", "description": "", "group": "do not change these", "definition": "matrix(map(if(rand[j]=1,[max_mark/n,-max_mark*error+max_mark/n],[-max_mark*error+max_mark/n,max_mark/n]),j,0..n-1))\n\n", "name": "marks"}, "statements": {"templateType": "anything", "description": "", "group": "do not change these", "definition": "map(if(rand[j]=1,\n statements_true[j],\n statements_false[j]),j,0..n-1)", "name": "statements"}}, "metadata": {"description": "multiple choice question on this week's content

", "licence": "Creative Commons Attribution 4.0 International"}, "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/"}]}