// Numbas version: exam_results_page_options {"name": "Simon's copy of Q4 & 5 Arithmetic", "extensions": [], "custom_part_types": [], "resources": [["question-resources/bodmas.png", "/srv/numbas/media/question-resources/bodmas.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"metadata": {"description": "
Arithmetic
\nrebelmaths
", "licence": "Creative Commons Attribution 4.0 International"}, "variables": {"e7": {"definition": "pos()", "description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "e7"}, "ans5e": {"definition": "ans5a * ans5b", "description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "ans5e"}, "ans5a": {"definition": "e2 * e5", "description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "ans5a"}, "e5": {"definition": "pos()", "description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "e5"}, "ans22": {"definition": "abs(ans2a)-(ans2b*abs(ans2))", "description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "ans22"}, "e8": {"definition": "pos()", "description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "e8"}, "c4": {"definition": "random(2..5)+c7", "description": "", "group": "Ungrouped variables", "templateType": "anything", "name": 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"anything", "name": "ans2a"}, "a3": {"definition": "pos()", "description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "a3"}, "c3": {"definition": "random(1..{c2}-1)", "description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "c3"}, "f2": {"definition": "pos()", "description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "f2"}}, "advice": "When adding and/or subtracting fractions, do the following;
\nFirst convert any mixed numbers to improper fractions e.g. $1\\frac{2}{3} = \\frac{5}{3}$
\nFind the lowest common multiple of the denominators i.e. $\\frac{5}{3} + \\frac{1}{2} = \\frac{}{6}$
\nNext, transform each fraction into an equivalent fraction with the denominator equal to this LCM i.e. $\\frac{5}{3} + \\frac{1}{2} = \\frac{10}{6} + \\frac{3}{6}$
\nAdd/subtract the numbers above the denominator i.e. $\\frac{10}{6} + \\frac{3}{6} = \\frac{10 + 3}{6} = \\frac{13}{6} = 2\\frac{1}{6}$
\n\nWhen multiplying fractions, multiply the numbers above the line by each other and then the numbers below the line by each other i.e.
\n$\\frac{5}{3} \\times \\frac{1}{4} = \\frac{5}{12}$
\nIf possible simplify the answer i.e.
\n$\\frac{5}{3} \\times \\frac{1}{5} = \\frac{5}{15} = \\frac{1}{3}$
\nIf there are more than 2 fractions, follow the same rules:
\ni.e. $\\frac{5}{3} \\times \\frac{1}{4} \\times \\frac{2}{5} \\times \\frac{3}{2} = \\frac{30}{120} = \\frac{1}{4}$
\n\nWhen dividing fractions, flip the SECOND fraction upside down and then follow the rules for multiplying fractions i.e.
\n$\\frac{5}{3} \\div \\frac{3}{4} = \\frac{5}{3} \\times \\frac{4}{3} = \\frac{20}{9}$
\nIf possible simplify the answer i.e.
\n$\\frac{5}{3} \\div \\frac{4}{21} = \\frac{5}{3} \\times \\frac{21}{4} = \\frac{105}{12} = \\frac{35}{4} = 8\\frac{3}{4}$
\n\n", "ungrouped_variables": ["A1", "a2", "Ans1a", "b1", "B2", "Ans2b", "C1", "C2", "Ans3b", "D1", "D2", "Ans4b", "E1", "E2", "Ans5", "a3", "a4", "b3", "b4", "b5", "c3", "c4", "c5", "d3", "e3", "a5", "a6", "b6", "b7", "b8", "b9", "c6", "c7", "c8", "c9", "d4", "d5", "d6", "d7", "d8", "d9", "e4", "e5", "e6", "e7", "e8", "e9", "e10", "e11", "e12", "f1", "f2", "f4", "f5", "f3", "f6", "ans1b", "ans6", "ans2a", "ans3a", "ans4a", "ans4c", "ans4d", "ans3c", "ans3d", "ans5a", "ans5b", "ans5c", "ans5d", "ans5e", "ans6a", "ans1", "ans11", "ans2", "ans22", "ans3", "ans33", "ans4", "ans44", "ans555", "ans55", "ans666", "ans66"], "name": "Simon's copy of Q4 & 5 Arithmetic", "rulesets": {}, "preamble": {"css": "", "js": ""}, "tags": [], "variable_groups": [], "statement": "Evaluate the following without using a calculator:
\nAnswer in whole number and/or fraction!!
\nRemember the BODMAS rule
\n\nN.B.
\nGive your answers as mixed fractions, writing the whole number part in the first box, and the fraction part in the second box.
\nIf there is no whole number part, place 0 in the first box.
\nE.g. $\\frac{7}{2} = 3\\frac{1}{2} => $ first box $ =3 $, second box$ =\\frac{1}{2}$
\nE.g. $\\frac{1}{3} => $ first box $ =0 $, second box$ =\\frac{1}{3}$
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\n[[0]][[1]]
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", "customMarkingAlgorithm": "", "gaps": [{"type": "numberentry", "marks": 1, "unitTests": [], "variableReplacementStrategy": "originalfirst", "maxValue": "{ans2}", "showCorrectAnswer": true, "showFeedbackIcon": true, "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "minValue": "{ans2}", "mustBeReduced": false, "correctAnswerStyle": "plain", "notationStyles": ["plain", "en", "si-en"], "correctAnswerFraction": true, "variableReplacements": [], "scripts": {}, "extendBaseMarkingAlgorithm": true, "allowFractions": true}, {"type": "numberentry", "marks": 1, "unitTests": [], "variableReplacementStrategy": "originalfirst", "maxValue": "{ans22}/{ans2b}", "showCorrectAnswer": true, "showFeedbackIcon": true, "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "minValue": "{ans22}/{ans2b}", "mustBeReduced": false, "correctAnswerStyle": "plain", "notationStyles": ["plain", "en", "si-en"], "correctAnswerFraction": true, "variableReplacements": [], "scripts": {}, "extendBaseMarkingAlgorithm": true, "allowFractions": true}], "sortAnswers": false, "variableReplacements": [], "scripts": {}, "extendBaseMarkingAlgorithm": true}, {"type": "gapfill", "marks": 0, "unitTests": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "showFeedbackIcon": true, "prompt": "$\\var{c1}\\simplify{{c3}/{c2}} \\times \\var{c4}\\simplify{{c6}/{c5}} - \\var{c7}\\simplify{{c9}/{c8}} $
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\n[[0]][[1]]
", "customMarkingAlgorithm": "", "gaps": [{"type": "numberentry", "marks": 1, "unitTests": [], "variableReplacementStrategy": "originalfirst", "maxValue": "{ans555}", "showCorrectAnswer": true, "showFeedbackIcon": true, "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "minValue": "{ans555}", "mustBeReduced": false, "correctAnswerStyle": "plain", "notationStyles": ["plain", "en", "si-en"], "correctAnswerFraction": true, "variableReplacements": [], "scripts": {}, "extendBaseMarkingAlgorithm": true, "allowFractions": true}, {"type": "numberentry", "marks": 1, "unitTests": [], "variableReplacementStrategy": "originalfirst", "maxValue": "{ans55}/{ans5e}", "showCorrectAnswer": true, "showFeedbackIcon": true, "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "minValue": "{ans55}/{ans5e}", "mustBeReduced": false, "correctAnswerStyle": "plain", "notationStyles": ["plain", "en", "si-en"], "correctAnswerFraction": true, "variableReplacements": [], "scripts": {}, "extendBaseMarkingAlgorithm": true, "allowFractions": true}], "sortAnswers": false, "variableReplacements": [], "scripts": {}, "extendBaseMarkingAlgorithm": true}, {"type": "gapfill", "marks": 0, "unitTests": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "showFeedbackIcon": true, "prompt": "$\\var{f1}\\simplify{{f3}/{f2}} \\div \\var{f4}\\simplify{{f6}/{f5}}$
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