// Numbas version: exam_results_page_options
{"name": "Test grade 1 - 7 (English)", "duration": 5400, "metadata": {"description": "<p>Here you will find task for the 1. to 7. 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": {"showtotalmark": true, "advicethreshold": 0, "allowrevealanswer": true, "feedbackmessages": [], "showactualmark": true, "showanswerstate": true, "intro": "<p>After finishing your test, you have the oppurtunity to review your answers.</p>"}, "type": "exam", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": [{"name": "Numbers - Plus (Addition) and Minus (Subtraction) Part 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": ["a", "b", "c", "list", "ans1", "ans2", "ans3", "list1", "d", "ee", "ans4", "f", "g", "ans5", "ans6"], "tags": [], "advice": "<p>You will find advice for each task in the test.</p>", "rulesets": {}, "parts": [{"stepsPenalty": 0, "prompt": "<p>${\\var{a}+\\var{b}}=$ [[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "{ans1}", "minValue": "{ans1}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}], "steps": [{"prompt": "<p>When we add two numbers, it is easy to think that each number represents a number of pennies.&nbsp;</p>\n<p>For example, if the expression is 8+4 you may think that you have 8 pennies and add 4. If you count the total amount of pennies, you get 12.</p>\n<p>Then 8+4 must be 12.</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "marks": 0, "scripts": {}, "showCorrectAnswer": true, "type": "gapfill"}, {"stepsPenalty": 0, "prompt": "<p>${\\var{a}-\\var{c}}=$ [[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "{ans2}", "minValue": "{ans2}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}], "steps": [{"prompt": "<p>When you subtract a number from another, you may think of it as taking away a number of pennies from another number of pennies.</p>\n<p>If the expression is 8-4, then you take 4 pennies from your original amount of 8 pennies. If you count your remaining pennies, you get 4.</p>\n<p>Therefore 8-4=4.</p>\n<p>But, what if we subtract a number that is larger then the first number? Well, think of it as you owe money. For example 4-8 = -4. In this case, you owe 4 pennies.</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "marks": 0, "scripts": {}, "showCorrectAnswer": true, "type": "gapfill"}, {"stepsPenalty": 0, "prompt": "<p>${\\var{a}+\\var{b}-\\var{c}}=$ &nbsp;[[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "{ans3}", "minValue": "{ans3}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}], "steps": [{"prompt": "<p>Again think of pennies, whether it is adding or subtracting. If the expression is 8+4-6, then you start out with 8 pennies and add 4 pennies which is a total of 12 pennies. Then you subtract 6 pennies from 12 and end up with 6 pennies left.</p>\n<p>So therefore, 8+4-6=6.</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "marks": 0, "scripts": {}, "showCorrectAnswer": true, "type": "gapfill"}], "statement": "<p>Answer these math expressions.</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": ""}, "variables": {"a": {"definition": "list[1]", "templateType": "anything", "group": "Ungrouped variables", "name": "a", "description": ""}, "c": {"definition": "list[3]", "templateType": "anything", "group": "Ungrouped variables", "name": "c", "description": ""}, "b": {"definition": "list[2]", "templateType": "anything", "group": "Ungrouped variables", "name": "b", "description": ""}, "d": {"definition": "list1[1]", "templateType": "anything", "group": "Ungrouped variables", "name": "d", "description": ""}, "ans4": {"definition": "d-ee", "templateType": "anything", "group": "Ungrouped variables", "name": "ans4", "description": ""}, "f": {"definition": "random(10..20#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "f", "description": ""}, "ee": {"definition": "list1[2]", "templateType": "anything", "group": "Ungrouped variables", "name": "ee", "description": ""}, "ans1": {"definition": "a+b", "templateType": "anything", "group": "Ungrouped variables", "name": "ans1", "description": ""}, "ans2": {"definition": "a-c", "templateType": "anything", "group": "Ungrouped variables", "name": "ans2", "description": ""}, "ans3": {"definition": "a+b-c", "templateType": "anything", "group": "Ungrouped variables", "name": "ans3", "description": ""}, "list1": {"definition": "shuffle (40..60)[1..10]", "templateType": "anything", "group": "Ungrouped variables", "name": "list1", "description": ""}, "ans5": {"definition": "f-g", "templateType": "anything", "group": "Ungrouped variables", "name": "ans5", "description": ""}, "ans6": {"definition": "a+(-a)-b-(-c)", "templateType": "anything", "group": "Ungrouped variables", "name": "ans6", "description": ""}, "list": {"definition": "shuffle (1..9)[1..7]", "templateType": "anything", "group": "Ungrouped variables", "name": "list", "description": ""}, "g": {"definition": "random(5..15#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "g", "description": ""}}, "metadata": {"description": "<p>Adding and subtracting numbers from each other.</p>", "licence": "All rights reserved"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}]}, {"name": "Numbers - Plus (Addition) and Minus (Subtraction) Part 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": ["a", "b", "c", "list", "ans1", "ans2", "ans3", "list1", "d", "ee", "ans4", "f", "g", "ans5", "ans6"], "tags": [], "advice": "<p>You will find advice for each task in the test.</p>", "rulesets": {}, "parts": [{"stepsPenalty": 0, "prompt": "<p>Find the answer</p>\n<p>${\\var{d}-\\var{ee}}=$ &nbsp;[[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "{ans4}", "minValue": "{ans4}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}], "steps": [{"prompt": "<p>When you subtract a number from another, you may think of it as taking away a number of pennies from another number of pennies.</p>\n<p>If the expression is 8-4, then you take 4 pennies from your original amount of 8 pennies. If you count your remaining pennies, you get 4.</p>\n<p>Therefore 8-4=4.</p>\n<p>But, what if we subtract a number that is larger then the first number? Well, think of it as you owe money. For example 4-8 = -4. In this case, you owe 4 pennies.</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "marks": 0, "scripts": {}, "showCorrectAnswer": true, "type": "gapfill"}, {"stepsPenalty": 0, "prompt": "<p>At noon (12:00 PM) the temperature is at ${\\var{f}}$<sup>O</sup>C. During the next 12 hours the temperature drops&nbsp;${\\var{g}}$<sup>&nbsp;O</sup>C. What is the temperature at midnight (12:00AM)?&nbsp;&nbsp;&nbsp;</p>\n<p>Answer:&nbsp;[[0]]<sup>O</sup>C &nbsp; &nbsp; &nbsp;</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "{ans5}", "minValue": "{ans5}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}], "steps": [{"prompt": "<p>Here you have to subtract the temperature drop from the temperature at noon.&nbsp;</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "extension"}], "marks": 0, "scripts": {}, "showCorrectAnswer": true, "type": "gapfill"}, {"stepsPenalty": 0, "prompt": "<p>Find the answer</p>\n<p>${\\var{a}+{(-\\var{a})}-{\\var{b}}-{(-\\var{c})}}=$ [[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "{ans6}", "minValue": "{ans6}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}], "steps": [{"prompt": "<p>Remember:</p>\n<p>+ and + gives +</p>\n<p>- &nbsp;and - &nbsp;gives +</p>\n<p>+ and - &nbsp;gives -</p>\n<p>- &nbsp;and + gives -</p>\n<p></p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "marks": 0, "scripts": {}, "showCorrectAnswer": true, "type": "gapfill"}], "statement": "<p>Answer these math expressions.</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": ""}, "variables": {"a": {"definition": "list[1]", "templateType": "anything", "group": "Ungrouped variables", "name": "a", "description": ""}, "c": {"definition": "list[3]", "templateType": "anything", "group": "Ungrouped variables", "name": "c", "description": ""}, "b": {"definition": "list[2]", "templateType": "anything", "group": "Ungrouped variables", "name": "b", "description": ""}, "d": {"definition": "list1[1]", "templateType": "anything", "group": "Ungrouped variables", "name": "d", "description": ""}, "list1": {"definition": "shuffle (40..60)[1..10]", "templateType": "anything", "group": "Ungrouped variables", "name": "list1", "description": ""}, "f": {"definition": "random(10..20#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "f", "description": ""}, "ee": {"definition": "list1[2]", "templateType": "anything", "group": "Ungrouped variables", "name": "ee", "description": ""}, "ans1": {"definition": "a+b", "templateType": "anything", "group": "Ungrouped variables", "name": "ans1", "description": ""}, "ans2": {"definition": "a-c", "templateType": "anything", "group": "Ungrouped variables", "name": "ans2", "description": ""}, "ans3": {"definition": "a+b-c", "templateType": "anything", "group": "Ungrouped variables", "name": "ans3", "description": ""}, "ans4": {"definition": "d-ee", "templateType": "anything", "group": "Ungrouped variables", "name": "ans4", "description": ""}, "ans5": {"definition": "f-g", "templateType": "anything", "group": "Ungrouped variables", "name": "ans5", "description": ""}, "ans6": {"definition": "a+(-a)-b-(-c)", "templateType": "anything", "group": "Ungrouped variables", "name": "ans6", "description": ""}, "list": {"definition": "shuffle (1..9)[1..7]", "templateType": "anything", "group": "Ungrouped variables", "name": "list", "description": ""}, "g": {"definition": "random(5..15#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "g", "description": ""}}, "metadata": {"description": "<p>More Adding and subtracting numbers from each other.</p>", "licence": "All rights reserved"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}]}, {"name": "Numbers - Multiplying and Dividing", "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", "list", "ans1", "c", "ans2", "d", "ee", "f", "g", "ans3", "h", "ii", "jj", "ans4"], "tags": [], "preamble": {"css": "", "js": ""}, "advice": "<p>You will find advice for each task in the test.</p>", "rulesets": {}, "parts": [{"stepsPenalty": 0, "prompt": "<p>What is the half of&nbsp;${\\var{a}}$? &nbsp;</p>\n<p>Answer:&nbsp; &nbsp;[[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p>When we find the half value of a number, we divide it by 2. For example; the half of 24 equals 12. Or as a fraction $\\frac{24}{2} =12$&nbsp;</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "{ans1}", "minValue": "{ans1}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"stepsPenalty": 0, "prompt": "<p>If you got ${\\var{ee}}$ pennies in your pocket, how many stacks of ten pennies could you gather? &nbsp;</p>\n<p>Answer:&nbsp; &nbsp;[[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p>If you got 275 pennies, the solution would be&nbsp;$\\frac{275}{10} =27,5$, but we are not interested in incompleted stacks (stacks without ten pennies), therefore the answer is 27 stacks.&nbsp;</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "{ans2}", "minValue": "{ans2}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"stepsPenalty": 0, "prompt": "<p>Calculate&nbsp; &nbsp;$\\var{f}\\cdot\\var{g}=$ [[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p>Remember&nbsp;the multiplication tables?</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "extension"}], "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "{ans3}", "minValue": "{ans3}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"stepsPenalty": 0, "prompt": "<p>Calculate&nbsp; &nbsp;${\\var{jj}}$$:$${\\var{ii}}=$ [[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p>Remember&nbsp;the multiplication tables? Try to figure out what to multiply by 3 to get the largest number.</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "{ans4}", "minValue": "{ans4}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "statement": "<p>Calculate</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"a": {"definition": "list", "templateType": "anything", "group": "Ungrouped variables", "name": "a", "description": ""}, "c": {"definition": "random(100..350#10)", "templateType": "randrange", "group": "Ungrouped variables", "name": "c", "description": ""}, "b": {"definition": "2", "templateType": "number", "group": "Ungrouped variables", "name": "b", "description": ""}, "d": {"definition": "random(1..9#2)", "templateType": "randrange", "group": "Ungrouped variables", "name": "d", "description": ""}, "g": {"definition": "random(2..6#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "g", "description": ""}, "f": {"definition": "random(1..9#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "f", "description": ""}, "ee": {"definition": "c+d", "templateType": "anything", "group": "Ungrouped variables", "name": "ee", "description": ""}, "ans1": {"definition": "a/b", "templateType": "anything", "group": "Ungrouped variables", "name": "ans1", "description": ""}, "ans2": {"definition": "c/10", "templateType": "anything", "group": "Ungrouped variables", "name": "ans2", "description": "<p>Kun heltallsvar</p>"}, "ans3": {"definition": "f*g", "templateType": "anything", "group": "Ungrouped variables", "name": "ans3", "description": ""}, "list": {"definition": "random(10..60#2)", "templateType": "randrange", "group": "Ungrouped variables", "name": "list", "description": ""}, "ans4": {"definition": "jj/ii", "templateType": "anything", "group": "Ungrouped variables", "name": "ans4", "description": ""}, "ii": {"definition": "3", "templateType": "anything", "group": "Ungrouped variables", "name": "ii", "description": ""}, "jj": {"definition": "h*ii", "templateType": "anything", "group": "Ungrouped variables", "name": "jj", "description": ""}, "h": {"definition": "random(1..9#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "h", "description": ""}}, "metadata": {"description": "<p>We will learn about multiplying and dividing numbers</p>", "licence": "All rights reserved"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}]}, {"name": "Decimals and Percent", "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", "ans1"], "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>Which of the numbers have the highest value?</p>\n<p>Please mark the box next to the number you think is highest.</p>\n<p></p>", "matrix": [0, "1", 0, 0, 0, 0], "shuffleChoices": true, "maxMarks": "1", "variableReplacements": [], "minAnswers": 0, "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p>Rember that it is not how many numbers after the comma that makes the value higher, it is the size of the number.</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "distractors": ["", "", "", "", "", ""], "showCorrectAnswer": true, "scripts": {}, "warningType": "none", "marks": 0, "choices": ["<p>$12,4301$</p>", "<p>$12,542$</p>", "<p>$12,34$</p>", "<p>$12,5$</p>", "<p>$1,2$</p>", "<p>$2,60$</p>"], "type": "m_n_2", "displayType": "checkbox", "minMarks": "1"}, {"stepsPenalty": 0, "prompt": "<p>It is black friday and a store has all prices cut by&nbsp;$\\var{a}$%. Here, you buy a jackets that originally cost $\\var{b}$ NOK. How much do you have to pay for the jacket now?</p>\n<p>The jackets cost&nbsp;[[0]]NOK</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p>Remember what <i>percent</i> means? Try found the discount by multiply the original price with the percent and divide it by one hundred. Then subtract this number from the original price.</p>\n<p>Example:</p>\n<p>The jackets cost 2500 NOK and is on 20% discount.</p>\n<p>Then, the new price will be&nbsp;${2500}-{\\frac{{2500*20}}{100}}$</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "{ans1}", "minValue": "{ans1}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "statement": "", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"a": {"definition": "random(20..60#10)", "templateType": "randrange", "group": "Ungrouped variables", "name": "a", "description": ""}, "ans1": {"definition": "b-(b*a)/100", "templateType": "anything", "group": "Ungrouped variables", "name": "ans1", "description": ""}, "b": {"definition": "random(1000..3000#100)", "templateType": "randrange", "group": "Ungrouped variables", "name": "b", "description": ""}}, "metadata": {"description": "<p>Tasks with Decimalnumbers and percent.</p>", "licence": "All rights reserved"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}]}, {"name": "Fractions", "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", "list", "ans1", "d", "ans2", "ee", "f", "ans3"], "tags": [], "preamble": {"css": "", "js": ""}, "advice": "<p>You will find advice for each task in the test.</p>", "rulesets": {}, "parts": [{"stepsPenalty": 0, "prompt": "<p>Calculate&nbsp; &nbsp; &nbsp;${\\frac{\\var{a}}{\\var{b}}}+{\\frac{\\var{c}}{\\var{b}}}=$ [[0]]</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>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "gaps": [{"allowFractions": true, "variableReplacements": [], "maxValue": "{ans1}", "minValue": "{ans1}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"stepsPenalty": 0, "prompt": "<p>Calculate&nbsp; &nbsp; ${\\frac{\\var{a}}{\\var{b}}}+{\\frac{\\var{c}}{\\var{b}}-\\frac{\\var{ee}}{\\var{f}}}=$ &nbsp;[[0]]</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>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "gaps": [{"allowFractions": true, "variableReplacements": [], "maxValue": "{ans2}", "minValue": "{ans2}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": true, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"stepsPenalty": 0, "prompt": "<p>Calculate&nbsp; &nbsp; $\\frac{\\var{a}}{\\var{b}}\\cdot \\frac{\\var{c}}{\\var{d}}=$ &nbsp;[[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p><em>Multiply numerator with numerator&nbsp;and&nbsp;denominator with denominator.</em></p>\n<hr/>\n<p>Example:&nbsp;</p>\n<p style=\"text-align: center;\">\\[\\frac{4}{5}\\cdot \\frac{2}{3}=\\frac{4\\cdot 2}{5 \\cdot 3}=\\frac{8}{15}\\]</p>\n<p>(Remember to simplify)</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "gaps": [{"allowFractions": true, "variableReplacements": [], "maxValue": "{ans3}", "minValue": "{ans3}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": true, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "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": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"a": {"definition": "list[1]", "templateType": "anything", "group": "Ungrouped variables", "name": "a", "description": ""}, "c": {"definition": "list[3]", "templateType": "anything", "group": "Ungrouped variables", "name": "c", "description": ""}, "b": {"definition": "list[2]", "templateType": "anything", "group": "Ungrouped variables", "name": "b", "description": ""}, "d": {"definition": "random(2..5#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "d", "description": ""}, "f": {"definition": "d*b", "templateType": "anything", "group": "Ungrouped variables", "name": "f", "description": ""}, "ee": {"definition": "list[4]", "templateType": "anything", "group": "Ungrouped variables", "name": "ee", "description": ""}, "ans1": {"definition": "(a+c)/b", "templateType": "anything", "group": "Ungrouped variables", "name": "ans1", "description": ""}, "ans2": {"definition": "(d*a+d*c-ee)/(d*b)", "templateType": "anything", "group": "Ungrouped variables", "name": "ans2", "description": ""}, "ans3": {"definition": "(a/b)*(c/d)", "templateType": "anything", "group": "Ungrouped variables", "name": "ans3", "description": ""}, "list": {"definition": "shuffle (1..9)[1..7]", "templateType": "anything", "group": "Ungrouped variables", "name": "list", "description": ""}}, "metadata": {"description": "<p>Tasks to practice fractions.</p>", "licence": "All rights reserved"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}]}]}], "contributors": [{"name": "Morten Brekke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/478/"}], "extensions": [], "custom_part_types": [], "resources": []}