// Numbas version: exam_results_page_options
{"name": "Test grade 5 - 10 (English)", "duration": 5400, "metadata": {"description": "<p>Here you will find task for the 5. to 10. grade.</p>", "licence": "All rights reserved"}, "allQuestions": true, "shuffleQuestions": false, "percentPass": "50", "timing": {"allowPause": true, "timeout": {"action": "warn", "message": "<p>Time is up. You have to submit.</p>"}, "timedwarning": {"action": "warn", "message": "<p>5 minutes left!</p>"}}, "pickQuestions": 0, "navigation": {"onleave": {"action": "warnifunattempted", "message": "<p>Some of the questions are unanswered, do you still want to submit your answer?</p>"}, "reverse": true, "allowregen": true, "showresultspage": "oncompletion", "preventleave": true, "browse": true, "showfrontpage": true}, "feedback": {"allowrevealanswer": true, "showtotalmark": true, "advicethreshold": 0, "intro": "<p>After finishing your test, you have the oppurtunity to review your answers.</p>", "feedbackmessages": [], "showanswerstate": true, "showactualmark": true}, "type": "exam", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": [{"name": "Algebra and  parenthesis 1", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Robert F\u00f8rland", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/827/"}], "functions": {}, "ungrouped_variables": ["a1", "a2", "a3", "a4", "b1", "b2", "b3", "b4", "b5", "b6", "c1", "c2", "c3", "c4", "c5", "d1", "d2", "d3", "d4"], "tags": [], "preamble": {"css": "", "js": ""}, "advice": "<p><img src=\"http://2.bp.blogspot.com/-cth6k3e3jwQ/VQXfSRgqJHI/AAAAAAAABMI/wxS9Is8HCU8/s1600/bodmas.png\" width=\"326\" height=\"261\"/></p>\n<p>Remove the brackets and gather the x terms together and also the number terms together.</p>\n<p>When in fraction form, get the lowest common multiple (LCM), and multiply the top line by how many times the&nbsp;divisor goes into the LCM.</p>\n<p>Rule for multiping out brackets:</p>\n<p>(a$x$ - b)(c$x$ + d) = (a * c)$x^2$ + ((a * d) + ((-b) *c)))$x$ + ((-b) * d)</p>\n<p>Rule for squaring&nbsp;brackets:</p>\n<p>(-a$x$ + b)$^2$ = (-a * -a)$x^2$ + (2 * (-a) *b)$x$ + (b * b)</p>", "rulesets": {"std": ["all", "!collectNumbers "]}, "parts": [{"stepsPenalty": 0, "prompt": "<p>Simplify</p>\n<p>$\\var{a1}a-\\var{a2}b+\\var{a3}a+\\var{a4}b =$</p>\n<p>[[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p>Simplify the parts with the same variable, for example&nbsp;$7a-3a = 4a$, while&nbsp;$2b$ and $3a$ have different variables and can not simplify further.</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "gaps": [{"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "answersimplification": "std", "scripts": {}, "answer": "{a1+a3}a+{a4-a2}b", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme", "maxlength": {"length": "10", "message": "<p>Du har ikke trukket sammen alle mulige ledd</p>", "partialCredit": 0}}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"stepsPenalty": 0, "prompt": "<p>Simplify</p>\n<p>$\\var{b1}a^2+\\var{b2}a+\\var{b3}+\\var{b4}a^2-\\var{b5}a-\\var{b6}=$</p>\n<p>&nbsp;[[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p>Simplify the parts with the same variable, for example $2a^2+3a^2 = 5a^2$, while $2a^2$&nbsp;and $3a$ have different variables and can not simplify further.</p>\n<p></p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "gaps": [{"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "answersimplification": "std", "scripts": {}, "answer": "{b1+b4}a^2+{b2-b5}a+{b3-b6}", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme", "maxlength": {"length": "21", "message": "<p>Du har ikke trukket sammen alle mulige ledd</p>", "partialCredit": 0}}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"stepsPenalty": 0, "prompt": "<p>Dissolve the parenthesis and simplify</p>\n<p>$(\\var{d1}a+\\var{d2}b)-(\\var{d3}a-\\var{d4}b) =$</p>\n<p>[[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p>Remember: when dissolving a parenthesis with a minus sign next to it, all of the signs inside the parenthesis has to be inverted.</p>\n<p>Example:</p>\n<p>$2a-(a-3b)=2a-a+3b=a+3b$</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "gaps": [{"notallowed": {"message": "", "showStrings": false, "strings": ["("], "partialCredit": 0}, "vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "answersimplification": "std", "scripts": {}, "answer": "{d1-d3}a+{d2+d4}b", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme", "maxlength": {"length": "15", "message": "<p>Du har ikke trukket sammen alle mulige ledd</p>", "partialCredit": 0}}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "statement": "<p>You may write your expression in the text box. Remember to write for example a^3 to get&nbsp;$a^3$ and&nbsp;2a-3b to get&nbsp;$2a-3b$.</p>\n<p>Next to the text box, you will get an image of how NUMBAS reads your input. Make sure this is what you intended to answer!</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"b4": {"definition": "random(2..8)", "templateType": "anything", "group": "Ungrouped variables", "name": "b4", "description": ""}, "d4": {"definition": "random(2..6)", "templateType": "anything", "group": "Ungrouped variables", "name": "d4", "description": ""}, "d1": {"definition": "random(2..6)", "templateType": "anything", "group": "Ungrouped variables", "name": "d1", "description": ""}, "b6": {"definition": "random(2..6)", "templateType": "anything", "group": "Ungrouped variables", "name": "b6", "description": ""}, "a1": {"definition": "random(-5..5 except [0, 1, -1])", "templateType": "anything", "group": "Ungrouped variables", "name": "a1", "description": ""}, "b5": {"definition": "random(2..5)", "templateType": "anything", "group": "Ungrouped variables", "name": "b5", "description": ""}, "a3": {"definition": "random(2..9)", "templateType": "anything", "group": "Ungrouped variables", "name": "a3", "description": ""}, "a2": {"definition": "random(2..6)", "templateType": "anything", "group": "Ungrouped variables", "name": "a2", "description": ""}, "a4": {"definition": "random(3..8)", "templateType": "anything", "group": "Ungrouped variables", "name": "a4", "description": ""}, "b2": {"definition": "random(2..9)", "templateType": "anything", "group": "Ungrouped variables", "name": "b2", "description": ""}, "b3": {"definition": "random(2..4)", "templateType": "anything", "group": "Ungrouped variables", "name": "b3", "description": ""}, "c3": {"definition": "random(5..8)", "templateType": "anything", "group": "Ungrouped variables", "name": "c3", "description": ""}, "c2": {"definition": "random(2..7)", "templateType": "anything", "group": "Ungrouped variables", "name": "c2", "description": ""}, "c1": {"definition": "random(-3..3 except[0, 1, -1])", "templateType": "anything", "group": "Ungrouped variables", "name": "c1", "description": ""}, "c4": {"definition": "random(2..3)", "templateType": "anything", "group": "Ungrouped variables", "name": "c4", "description": ""}, "d2": {"definition": "random(2..6)", "templateType": "anything", "group": "Ungrouped variables", "name": "d2", "description": ""}, "d3": {"definition": "random(2..6)", "templateType": "anything", "group": "Ungrouped variables", "name": "d3", "description": ""}, "c5": {"definition": "random(5..7)", "templateType": "anything", "group": "Ungrouped variables", "name": "c5", "description": ""}, "b1": {"definition": "random(-7..8 except [0, 1, -1])", "templateType": "anything", "group": "Ungrouped variables", "name": "b1", "description": ""}}, "metadata": {"description": "<p>Simplify algebra expressions</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}]}, {"name": "Decimals", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Robert F\u00f8rland", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/827/"}], "parts": [{"marks": 0, "stepsPenalty": 0, "steps": [{"marks": 0, "scripts": {}, "showFeedbackIcon": true, "prompt": "<p>Remember that centi means one hundreth and desi means one tenth.&nbsp;</p>\n<p>Therefore, 100 centiliters equals 1 liter and 10 desiliters equals also 1 liter.</p>", "type": "information", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "showCorrectAnswer": true}], "gaps": [{"scripts": {}, "mustBeReduced": false, "allowFractions": false, "minValue": "{ans1}", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "marks": "0.25", "maxValue": "{ans1}", "showFeedbackIcon": true, "mustBeReducedPC": 0, "correctAnswerStyle": "plain", "type": "numberentry", "variableReplacements": []}, {"scripts": {}, "mustBeReduced": false, "allowFractions": false, "minValue": "{ans2}", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "marks": "0.25", "maxValue": "{ans2}", "showFeedbackIcon": true, "mustBeReducedPC": 0, "correctAnswerStyle": "plain", "type": "numberentry", "variableReplacements": []}, {"scripts": {}, "mustBeReduced": false, "allowFractions": false, "minValue": "{ans3}", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": false, "marks": "0.25", "maxValue": "{ans3}", "showFeedbackIcon": true, "mustBeReducedPC": 0, "correctAnswerStyle": "plain", "type": "numberentry", "variableReplacements": []}, {"scripts": {}, "mustBeReduced": false, "allowFractions": false, "minValue": "{ans4}", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "marks": "0.25", "maxValue": "{ans4}", "showFeedbackIcon": true, "mustBeReducedPC": 0, "correctAnswerStyle": "plain", "type": "numberentry", "variableReplacements": []}], "scripts": {}, "showFeedbackIcon": true, "prompt": "<p>Express as&nbsp;$cl$ (centiliters)</p>\n<p>$\\var{a}$ $l$ equals&nbsp;[[0]] $cl$</p>\n<p>$\\var{c}$ $dl$ equals&nbsp;[[1]] $cl$</p>\n<p>$\\var{a}$ $dl$ equals&nbsp;[[2]] $cl$</p>\n<p>$\\var{d}$ $ml$ equals&nbsp;[[3]] $cl$</p>", "type": "gapfill", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "showCorrectAnswer": true}, {"marks": 0, "gaps": [{"scripts": {}, "mustBeReduced": false, "allowFractions": true, "minValue": "{ans6}", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": true, "showCorrectAnswer": true, "marks": "0.25", "maxValue": "{ans6}", "showFeedbackIcon": true, "mustBeReducedPC": 0, "correctAnswerStyle": "plain", "type": "numberentry", "variableReplacements": []}, {"scripts": {}, "mustBeReduced": false, "allowFractions": false, "minValue": "{ans7}", "notationStyles": ["plain", "en", "si-en"], "strictPrecision": true, "precisionPartialCredit": 0, "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": false, "marks": "0.25", "precision": 0, "maxValue": "{ans7}", "precisionType": "dp", "showFeedbackIcon": true, "showPrecisionHint": true, "mustBeReducedPC": 0, "correctAnswerStyle": "plain", "type": "numberentry", "variableReplacements": [], "precisionMessage": "<p>You have not given your answer to the correct precision.</p>"}, {"scripts": {}, "mustBeReduced": false, "allowFractions": false, "minValue": "{ans8}", "notationStyles": ["plain", "en", "si-en"], "strictPrecision": false, "precisionPartialCredit": 0, "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "marks": "0.25", "precision": "2", "maxValue": "{ans8}", "precisionType": "dp", "showFeedbackIcon": true, "showPrecisionHint": true, "mustBeReducedPC": 0, "correctAnswerStyle": "plain", "type": "numberentry", "variableReplacements": [], "precisionMessage": "<p>You have not given your answer to the correct precision.</p>"}, {"scripts": {}, "mustBeReduced": false, "allowFractions": false, "minValue": "{ans9}", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "marks": "0.25", "maxValue": "{ans9}", "showFeedbackIcon": true, "mustBeReducedPC": 0, "correctAnswerStyle": "plain", "type": "numberentry", "variableReplacements": []}], "scripts": {}, "showFeedbackIcon": true, "prompt": "<p style=\"text-align: left;\">This table contains a column with decimals, one with fractions and one with percent. All parts in the same row is equal to each other.</p>\n<p>Fill in the missing gaps.</p>\n<p>Round the decimals to the 2 highest numbers after the comma.</p>\n<table width=\"399\" height=\"221\" border=\"2\" style=\"height: 221px;\">\n<tbody>\n<tr>\n<td>\n<p>Decimals</p>\n</td>\n<td>Fraction</td>\n<td>Percent</td>\n</tr>\n<tr>\n<td>$\\var{c}$</td>\n<td>[[0]]</td>\n<td>$\\var{ans5}$</td>\n</tr>\n<tr>\n<td>$\\var{g}$</td>\n<td>$\\frac{\\var{f}}{3}$</td>\n<td>[[1]]</td>\n</tr>\n<tr>\n<td>[[2]]</td>\n<td>$\\frac{\\var{h}}{4}$</td>\n<td>[[3]]</td>\n</tr>\n<tr>\n<td></td>\n<td></td>\n<td></td>\n</tr>\n</tbody>\n</table>\n<p>Rember to use '.' instead of ','!!</p>", "type": "gapfill", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "showCorrectAnswer": true}], "statement": "<p>Calculate</p>", "advice": "<p>You will find advice for each task in the test.</p>", "variable_groups": [], "variables": {"ans1": {"definition": "a*100", "description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "ans1"}, "d": {"definition": "random(100..900#100)", "description": "", "group": "Ungrouped variables", "templateType": "randrange", "name": "d"}, "f": {"definition": "random(1..2#1)", "description": "", "group": "Ungrouped variables", "templateType": "randrange", "name": "f"}, "c": {"definition": "b/10", "description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "c"}, "ans9": {"definition": "ans8*100", "description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "ans9"}, "ans4": {"definition": "d/10", "description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "ans4"}, "ans3": {"definition": "a*10", "description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "ans3"}, "ans2": {"definition": "c*10", "description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "ans2"}, "ans6": {"definition": "b/10", "description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "ans6"}, "ans5": {"definition": "b*10", "description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "ans5"}, "b": {"definition": "random(1..9#1)", "description": "", "group": "Ungrouped variables", "templateType": "randrange", "name": "b"}, "ans7": {"definition": "g*100", "description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "ans7"}, "h": {"definition": "random(1..3#1)", "description": "", "group": "Ungrouped variables", "templateType": "randrange", "name": "h"}, "a": {"definition": "random(1..20#1)", "description": "", "group": "Ungrouped variables", "templateType": "randrange", "name": "a"}, "g": {"definition": "f/3", "description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "g"}, "ans8": {"definition": "h/4", "description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "ans8"}}, "tags": [], "preamble": {"js": "", "css": ""}, "variablesTest": {"maxRuns": 100, "condition": ""}, "ungrouped_variables": ["a", "b", "c", "d", "ans1", "ans2", "ans3", "ans4", "ans5", "ans6", "f", "g", "ans7", "h", "ans8", "ans9"], "functions": {}, "rulesets": {}, "metadata": {"licence": "All rights reserved", "description": "<p>Tasks involving decimals</p>"}, "type": "question"}, {"name": "Fractions 1", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Robert F\u00f8rland", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/827/"}], "functions": {}, "ungrouped_variables": [], "tags": [], "preamble": {"css": "", "js": ""}, "advice": "<p>Learn from your mistakes and have another attempt by clicking on 'Try another question like this one' until you get full marks.</p>", "rulesets": {}, "parts": [{"stepsPenalty": "0", "prompt": "<p>$\\displaystyle\\frac{\\var{a}}{\\var{b}}+\\frac{\\var{c}}{\\var{b}}=$[[0]]</p>\n<p>$\\displaystyle\\frac{\\var{d}}{\\var{c}}-\\frac{\\var{a}}{\\var{c}}=$[[1]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p><em>Add the&nbsp;numerators, keep the denominator unchanged.</em></p>\n<p>Since the deniminator is common in these fractions, it&nbsp;can easily be calculated as seen in this example:</p>\n<p>\\[\\frac{2}{3}+\\frac{5}{3}=\\frac{2+5}{3}=\\frac{7}{3}\\]</p>\n<p>The same rule goes for subtracting fractions:&nbsp;</p>\n<p style=\"text-align: center;\">\\[\\frac{7}{4}-\\frac{3}{4}=\\frac{7-3}{4}=\\frac{4}{4}=1\\]</p>\n<p></p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "gaps": [{"allowFractions": true, "variableReplacements": [], "maxValue": "(a+c)/b", "minValue": "(a+c)/b", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": true, "showCorrectAnswer": true, "scripts": {}, "marks": "0.5", "type": "numberentry"}, {"allowFractions": true, "variableReplacements": [], "maxValue": "(d-a)/c", "minValue": "(d-a)/c", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": true, "showCorrectAnswer": true, "scripts": {}, "marks": "0.5", "type": "numberentry"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"stepsPenalty": "0", "prompt": "<p>Calculate</p>\n<p>$\\displaystyle\\simplify{{h}/{f}-{j}/{g}}=$ &nbsp;[[0]]</p>\n<p>$\\displaystyle \\frac{\\var{a}}{\\var{d}}+\\var{f}=$&nbsp;[[1]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p><em>Expand the fraction to get a common denominator. Now you do the same as in the previous task.<br/></em></p>\n<hr/>\n<p></p>\n<p>For example:&nbsp;$\\frac{5}{4}+\\frac{3}{8}$ expands the first fraction into&nbsp;$\\frac{10}{8}$ (by multiplying the numerator and denominator by 2), so that both fractions has the common denominator of 8.&nbsp;</p>\n<p style=\"text-align: center;\">\\[\\frac{5}{4}+\\frac{3}{8}=\\frac{5\\cdot 2}{4\\cdot 2}+\\frac{3}{8}=\\frac{10}{8}+\\frac{3}{8}=\\frac{13}{8}\\]</p>\n<hr/>\n<p></p>\n<p style=\"text-align: left;\">Sometimes we need to expand all parts to get a common denominator, for example if we need to calculate &nbsp;$\\frac{5}{4}-\\frac{2}{3}$. Here, we find 12 as the common denominator and calculates as such:</p>\n<p style=\"text-align: center;\">\\[\\frac{5}{4}-\\frac{2}{3}=\\frac{5\\cdot 3}{4\\cdot 3}-\\frac{2\\cdot 4}{3\\cdot 4}=\\frac{15}{12}-\\frac{8}{12}=\\frac{7}{12}\\]</p>\n<p style=\"text-align: left;\">Try to keep the common denomintar as low as possible.</p>\n<hr/>\n<p></p>\n<p style=\"text-align: left;\">NB! Keep in mind that integers may be written as a fraction with the denominator 1. Example: $3=\\frac{3}{1}$.</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "gaps": [{"allowFractions": true, "variableReplacements": [], "maxValue": "(h*g-j*f)/(f*g)", "minValue": "(h*g-j*f)/(f*g)", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": true, "showCorrectAnswer": true, "scripts": {}, "marks": "0.5", "type": "numberentry"}, {"allowFractions": true, "variableReplacements": [], "maxValue": "(a+f*d)/(d)", "minValue": "(a+f*d)/(d)", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": true, "showCorrectAnswer": true, "scripts": {}, "marks": "0.5", "type": "numberentry"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "statement": "<p>Calculate and give your answer as a fraction or an integer. Use / as the fractionline, for example&nbsp;$\\frac{2}{3}$ is written as&nbsp;2/3.</p>", "variable_groups": [{"variables": ["a", "b", "c", "d", "f", "g", "h", "j"], "name": "numerical fractions"}], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"a": {"definition": "random(2..12)", "templateType": "anything", "group": "numerical fractions", "name": "a", "description": ""}, "c": {"definition": "random(2..12 except [a,b])", "templateType": "anything", "group": "numerical fractions", "name": "c", "description": ""}, "b": {"definition": "random(2..8 except a)", "templateType": "anything", "group": "numerical fractions", "name": "b", "description": ""}, "d": {"definition": "random(2..8 except[a,b,c,10])", "templateType": "anything", "group": "numerical fractions", "name": "d", "description": ""}, "g": {"definition": "random(2..9 except f)", "templateType": "anything", "group": "numerical fractions", "name": "g", "description": ""}, "f": {"definition": "random(2..9 except d)", "templateType": "anything", "group": "numerical fractions", "name": "f", "description": ""}, "h": {"definition": "random(3..5 except [f,g])", "templateType": "anything", "group": "numerical fractions", "name": "h", "description": ""}, "j": {"definition": "random(2..9 except [f,g,h])", "templateType": "anything", "group": "numerical fractions", "name": "j", "description": ""}}, "metadata": {"description": "<p>Add, subtract, multiply and divide numerical fractions.</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}]}, {"name": "Equations 1", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Robert F\u00f8rland", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/827/"}], "variablesTest": {"maxRuns": 100, "condition": ""}, "advice": "<p>You will find advice for each task in the test.</p>", "preamble": {"js": "", "css": ""}, "functions": {}, "rulesets": {}, "variables": {"b": {"name": "b", "description": "", "definition": "random(1..10#1)", "group": "Ungrouped variables", "templateType": "randrange"}, "c": {"name": "c", "description": "", "definition": "random(2..10#2)", "group": "Ungrouped variables", "templateType": "randrange"}, "ans2": {"name": "ans2", "description": "", "definition": "(b*c+1)/(1-c)", "group": "Ungrouped variables", "templateType": "anything"}, "a": {"name": "a", "description": "", "definition": "random(1..9#1)", "group": "Ungrouped variables", "templateType": "randrange"}, "ans1": {"name": "ans1", "description": "", "definition": "b/(a-1)", "group": "Ungrouped variables", "templateType": "anything"}}, "parts": [{"variableReplacementStrategy": "originalfirst", "stepsPenalty": 0, "showCorrectAnswer": true, "prompt": "<p>$\\var{a}x-\\var{b}=x$</p>\n<p>$x=$ &nbsp;[[0]]</p>", "scripts": {}, "showFeedbackIcon": true, "marks": 0, "type": "gapfill", "gaps": [{"variableReplacementStrategy": "originalfirst", "mustBeReduced": false, "maxValue": "{ans1}", "scripts": {}, "marks": 1, "allowFractions": true, "variableReplacements": [], "showCorrectAnswer": true, "correctAnswerFraction": true, "showFeedbackIcon": true, "type": "numberentry", "minValue": "{ans1}", "correctAnswerStyle": "plain", "mustBeReducedPC": 0, "notationStyles": ["plain", "en", "si-en"]}], "variableReplacements": [], "steps": [{"variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "prompt": "<p>Move all the&nbsp;$x$s over to the left side. Set&nbsp;$x$ on the outside of a paranthesis&nbsp;and divide the value of the parathesis on both sides of the equals sign.</p>", "scripts": {}, "showFeedbackIcon": true, "marks": 0, "type": "information", "variableReplacements": []}]}, {"variableReplacementStrategy": "originalfirst", "stepsPenalty": 0, "showCorrectAnswer": true, "prompt": "<p>$\\frac{x-1}{\\var{c}}-{x}=\\var{b}$</p>\n<p>$x=$ &nbsp;[[0]]</p>", "scripts": {}, "showFeedbackIcon": true, "marks": 0, "type": "gapfill", "gaps": [{"variableReplacementStrategy": "originalfirst", "mustBeReduced": false, "maxValue": "{ans2}", "scripts": {}, "precision": 0, "marks": 1, "allowFractions": false, "variableReplacements": [], "precisionMessage": "You have not given your answer to the correct precision.", "precisionType": "dp", "showCorrectAnswer": true, "correctAnswerFraction": false, "showPrecisionHint": true, "showFeedbackIcon": true, "precisionPartialCredit": "95", "type": "numberentry", "minValue": "{ans2}", "correctAnswerStyle": "plain", "strictPrecision": false, "mustBeReducedPC": 0, "notationStyles": ["plain", "en", "si-en"]}], "variableReplacements": [], "steps": [{"variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "prompt": "<p>Start by multiplying denominator in all parts, to get the common denominator. Then move all the&nbsp;$x$s over to the left side. Set&nbsp;$x$ on the outside of a paranthesis&nbsp;and divide the value of the parathesis on both sides of the equals sign.</p>", "scripts": {}, "showFeedbackIcon": true, "marks": 0, "type": "information", "variableReplacements": []}]}], "variable_groups": [], "statement": "<p>Solve the equations.</p>", "tags": [], "metadata": {"description": "<p>Solve linear equations</p>", "licence": "All rights reserved"}, "ungrouped_variables": ["a", "b", "c", "ans1", "ans2"], "type": "question"}, {"name": "Geometry - Area and circumference 1", "extensions": [], "custom_part_types": [], "resources": [["question-resources/trekant-Numbas.PNG", "/srv/numbas/media/question-resources/trekant-Numbas.PNG"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Robert F\u00f8rland", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/827/"}], "functions": {}, "ungrouped_variables": ["a", "b", "areal1", "c"], "tags": [], "preamble": {"css": "", "js": ""}, "advice": "<p>You will find advice for each task in the test.</p>", "rulesets": {}, "parts": [{"stepsPenalty": 0, "prompt": "<p>Find the area of a rectange with&nbsp;sides equal til $\\var{a}$ $cm$ and $\\var{b}$ $cm$ . &nbsp;</p>\n<p></p>\n<p>The area of the rectangle is &nbsp;[[0]]$cm^2$</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p>Remember the formula for a rectangle? The area equals to&nbsp;$A=a*b$ when&nbsp;$a$ and&nbsp;$b$ is the sides.</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "gaps": [{"integerPartialCredit": 0, "integerAnswer": true, "allowFractions": false, "variableReplacements": [], "maxValue": "{areal1}", "minValue": "{areal1}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": false, "scripts": {}, "marks": "1", "type": "numberentry"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"stepsPenalty": 0, "prompt": "<p>The rectangle with sides&nbsp;$\\var{a}$ $cm$ and&nbsp;$\\var{b}$ $cm$ is cut diagonally in two. Let's&nbsp;name the sides of the new triangle $a$, $b$ and&nbsp;$c$ as seen below.</p>\n<p><img src=\"resources/question-resources/trekant-Numbas.PNG\"/></p>\n<p>Find the length to all sides.&nbsp;</p>\n<p>$a=$ &nbsp;[[0]]$cm$</p>\n<p>$b=$ &nbsp;[[1]]$cm$</p>\n<p>$c=$ &nbsp;[[2]]$cm$</p>\n<p>Remember to use '.' instead of&nbsp;','.</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p>Remember pythagoras.</p>\n<p>&nbsp;$c^2=a^2+b^2$ where c is the hypotenuse.</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "extension"}], "gaps": [{"integerPartialCredit": 0, "integerAnswer": true, "allowFractions": false, "variableReplacements": [], "maxValue": "{b}", "minValue": "{b}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": true, "showCorrectAnswer": true, "scripts": {}, "marks": "0.25", "type": "numberentry"}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{a}", "minValue": "{a}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": "0.25", "type": "numberentry"}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{c}", "strictPrecision": true, "minValue": "{c}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "2", "scripts": {}, "marks": "0.5", "showPrecisionHint": true, "type": "numberentry"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "statement": "<p>Solve these geometry tasks.</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"a": {"definition": "random(10..20#2)", "templateType": "randrange", "group": "Ungrouped variables", "name": "a", "description": ""}, "areal1": {"definition": "a*b", "templateType": "anything", "group": "Ungrouped variables", "name": "areal1", "description": ""}, "c": {"definition": "sqrt(a^2+b^2)", "templateType": "anything", "group": "Ungrouped variables", "name": "c", "description": ""}, "b": {"definition": "random(2..8#2)", "templateType": "randrange", "group": "Ungrouped variables", "name": "b", "description": ""}}, "metadata": {"description": "<p>Tasks on&nbsp;finding the area and circumference</p>", "licence": "All rights reserved"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}]}, {"name": "Geometry - Area and circumference 2", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Robert F\u00f8rland", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/827/"}], "functions": {}, "ungrouped_variables": ["d", "areal1", "r", "omkrets1"], "tags": [], "preamble": {"css": "", "js": ""}, "advice": "<p>You will find advice for each task in the test.</p>", "rulesets": {}, "parts": [{"stepsPenalty": 0, "prompt": "<p>Find the area of a circle with diameter&nbsp;$\\var{d}$ $cm$ .</p>\n<p>The area is&nbsp; &nbsp;[[0]]$cm^2$&nbsp;</p>\n<p></p>\n<p></p>\n<p>Round to 2 numbers after the comma.&nbsp;&nbsp;</p>\n<p>Remember to use '.' instead of&nbsp;','.</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p>Remember the formula? The area of a circle is&nbsp;$A={pi}*r^2$</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{areal1}", "strictPrecision": true, "minValue": "{areal1}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": false, "precision": "2", "scripts": {}, "marks": 1, "showPrecisionHint": true, "type": "numberentry"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"stepsPenalty": 0, "prompt": "<p>Find the circumference of a cirlce with a diameter of&nbsp;$\\var{d}$ $cm$.</p>\n<p></p>\n<p>Answer: &nbsp;&nbsp;[[0]]$cm$&nbsp;&nbsp;</p>\n<p></p>\n<p></p>\n<p>Round to 2 numbers after the comma. &nbsp;</p>\n<p>Remember to use '.' instead of&nbsp;','.</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p>Remember the formula? The circumference of a circle is&nbsp;$O=2{pi}*r$</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "extension"}], "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{omkrets1}", "strictPrecision": true, "minValue": "{omkrets1}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": true, "showCorrectAnswer": true, "precision": "2", "scripts": {}, "marks": 1, "showPrecisionHint": true, "type": "numberentry"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "statement": "<p>Solve these geometry tasks.</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"areal1": {"definition": "pi*r^2", "templateType": "anything", "group": "Ungrouped variables", "name": "areal1", "description": ""}, "omkrets1": {"definition": "2*pi*r", "templateType": "anything", "group": "Ungrouped variables", "name": "omkrets1", "description": ""}, "r": {"definition": "d/2", "templateType": "anything", "group": "Ungrouped variables", "name": "r", "description": ""}, "d": {"definition": "random(2..24#2)", "templateType": "randrange", "group": "Ungrouped variables", "name": "d", "description": ""}}, "metadata": {"description": "<p>Tasks on&nbsp;finding the area and circumference</p>", "licence": "All rights reserved"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}]}, {"name": "Probability ", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Robert F\u00f8rland", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/827/"}], "functions": {}, "ungrouped_variables": ["a", "b", "c", "d"], "tags": [], "preamble": {"css": "", "js": ""}, "advice": "<p>You will find advice for each task in the test.</p>", "rulesets": {}, "parts": [{"stepsPenalty": 0, "maxAnswers": 0, "displayColumns": 0, "prompt": "<p>Let's throw a dice.</p>\n<p>The probabilty for the dice to show $\\var{a}$ or&nbsp;$\\var{b}$&nbsp;is</p>\n<p></p>\n<p>Check the box next to the right answer</p>\n<p></p>", "matrix": [0, "1", 0, 0, 0, 0], "shuffleChoices": false, "maxMarks": "1", "variableReplacements": [], "minAnswers": 0, "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p>Add together the probabilty of each happening.</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "distractors": ["", "", "", "", "", ""], "showCorrectAnswer": true, "scripts": {}, "warningType": "none", "marks": 0, "choices": ["<p>$\\frac{1}{6}$</p>", "<p>$\\frac{2}{6}$</p>", "<p>$\\frac{3}{6}$</p>", "<p>$\\frac{4}{6}$</p>", "<p>$\\frac{5}{6}$</p>", "<p>$\\frac{6}{6}$</p>"], "type": "m_n_2", "displayType": "checkbox", "minMarks": "1"}, {"stepsPenalty": 0, "maxAnswers": 0, "displayColumns": 0, "prompt": "<p>Now we throw two dices.</p>\n<p>The probability for the dices to show show a total of&nbsp;$\\var{c}$ is</p>\n<p></p>\n<p>Check the box next to the right answer</p>", "matrix": [0, 0, "1", 0, 0, 0, 0, 0, 0], "shuffleChoices": false, "maxMarks": 0, "variableReplacements": [], "minAnswers": 0, "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p>In this case you have to add together the probabilty of each happening possible with both dices. Remember that if the first dice comes up with a 2 and the second with a 1, then the sum is 3. If the first dice comes up with a 1 and the second with a 2, this sum will also be 3. This means that there is two happening where the sum is 3.</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "distractors": ["", "", "", "", "", "", "", "", ""], "showCorrectAnswer": true, "scripts": {}, "warningType": "none", "marks": 0, "choices": ["<p>$\\frac{1}{36}$</p>", "<p>$\\frac{2}{36}$</p>", "<p>$\\frac{3}{36}$</p>", "<p>$\\frac{4}{36}$</p>", "<p>$\\frac{5}{36}$</p>", "<p>$\\frac{6}{36}$</p>", "<p>$\\frac{8}{36}$</p>", "<p>$\\frac{10}{36}$</p>", "<p>$\\frac{12}{36}$</p>"], "type": "m_n_2", "displayType": "checkbox", "minMarks": 0}, {"stepsPenalty": 0, "maxAnswers": 0, "displayColumns": 0, "prompt": "<p>Again we throw two dices.</p>\n<p>The probability for the dices to show show a total of&nbsp;$\\var{d}$ is</p>\n<p></p>\n<p>Check the box next to the right answer</p>", "matrix": [0, 0, "0", 0, "1", 0, 0, 0, 0], "shuffleChoices": false, "maxMarks": 0, "variableReplacements": [], "minAnswers": 0, "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p>Also in this case you have to add together the probabilty of each happening possible with both dices. Remember that if the first dice comes up with a 2 and the second with a 1, then the sum is 3. If the first dice comes up with a 1 and the second with a 2, this sum will also be 3. This means that there is two happening where the sum is 3.</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "distractors": ["", "", "", "", "", "", "", "", ""], "showCorrectAnswer": true, "scripts": {}, "warningType": "none", "marks": 0, "choices": ["<p>$\\frac{1}{36}$</p>", "<p>$\\frac{2}{36}$</p>", "<p>$\\frac{3}{36}$</p>", "<p>$\\frac{4}{36}$</p>", "<p>$\\frac{5}{36}$</p>", "<p>$\\frac{6}{36}$</p>", "<p>$\\frac{8}{36}$</p>", "<p>$\\frac{10}{36}$</p>", "<p>$\\frac{12}{36}$</p>"], "type": "m_n_2", "displayType": "checkbox", "minMarks": 0}], "statement": "<p>Calculate the probabilty</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"a": {"definition": "random(1..6#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "a", "description": ""}, "c": {"definition": "random(4..10#6)", "templateType": "randrange", "group": "Ungrouped variables", "name": "c", "description": ""}, "b": {"definition": "random(1..6 except a)", "templateType": "anything", "group": "Ungrouped variables", "name": "b", "description": ""}, "d": {"definition": "random(6..8#2)", "templateType": "randrange", "group": "Ungrouped variables", "name": "d", "description": ""}}, "metadata": {"description": "<p>Probability using one and two dices.</p>", "licence": "All rights reserved"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}]}]}], "contributors": [{"name": "Robert F\u00f8rland", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/827/"}], "extensions": [], "custom_part_types": [], "resources": [["question-resources/trekant-Numbas.PNG", "/srv/numbas/media/question-resources/trekant-Numbas.PNG"]]}