// Numbas version: exam_results_page_options {"duration": 0, "name": "Engineering Mathematics Diagnostic 2019 - 20", "percentPass": "0", "timing": {"timeout": {"message": "", "action": "none"}, "allowPause": true, "timedwarning": {"message": "", "action": "none"}}, "metadata": {"licence": "None specified", "description": ""}, "showstudentname": true, "showQuestionGroupNames": true, "navigation": {"startpassword": "", "allowregen": false, "showfrontpage": true, "browse": false, "reverse": false, "onleave": {"message": "", "action": "none"}, "showresultspage": "oncompletion", "preventleave": true}, "feedback": {"showtotalmark": false, "advicethreshold": 0, "feedbackmessages": [], "showactualmark": false, "intro": "

Answer each question once only. Use the left hand column to move to the next question once you have submitted an answer.

\n

Your final mark will be out of 23. The last two questions relate to your previous qualifications.

\n

There will be an option to print your results, please do so to see your results in detail.

", "allowrevealanswer": false, "showanswerstate": false}, "question_groups": [{"name": "Introduction", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questions": []}, {"name": "BIDMAS", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questions": [{"name": "Evaluate 5 + 2 x 3", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Thomas Colton", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1533/"}], "functions": {}, "advice": "", "variablesTest": {"maxRuns": 100, "condition": ""}, "tags": [], "variables": {}, "ungrouped_variables": [], "variable_groups": [], "statement": "

1. Evaluate 5 + 2 x 3

", "preamble": {"js": "", "css": ""}, "metadata": {"description": "", "licence": "None specified"}, "rulesets": {}, "parts": [{"choices": ["

21

", "

10

", "

11

", "

24

", "

I once knew this but I've forgotten

", "

I've never learnt to do this

"], "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "minMarks": 0, "displayColumns": 0, "variableReplacements": [], "type": "1_n_2", "maxMarks": 0, "displayType": "radiogroup", "showCorrectAnswer": false, "matrix": [0, 0, "1", 0, 0, 0], "scripts": {}, "marks": 0, "distractors": ["", "", "", "", "", ""], "shuffleChoices": false}], "type": "question"}, {"name": "Evaluate 2 x 4 + 3 x 7", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Thomas Colton", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1533/"}], "ungrouped_variables": [], "functions": {}, "tags": [], "variables": {}, "preamble": {"js": "", "css": ""}, "metadata": {"licence": "None specified", "description": ""}, "variable_groups": [], "statement": "

2. Evaluate 2 x 4 + 3 x 7

", "rulesets": {}, "advice": "", "parts": [{"distractors": ["", "", "", "", "", ""], "scripts": {}, "showCorrectAnswer": true, "maxMarks": 0, "showFeedbackIcon": true, "variableReplacements": [], "type": "1_n_2", "marks": 0, "variableReplacementStrategy": "originalfirst", "displayColumns": 0, "choices": ["

29 

", "

98 

", "

77 

", "

32 

", "

I once knew this but I've forgotten 

", "

I've never learnt to do this

"], "matrix": ["1", 0, 0, 0, 0, 0], "shuffleChoices": false, "minMarks": 0, "displayType": "radiogroup"}], "variablesTest": {"maxRuns": 100, "condition": ""}, "type": "question"}, {"name": "Evaluate 6 + (5-2) x 9", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Thomas Colton", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1533/"}, {"name": "vijay (gmail) teeluck", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1577/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

Evaluate 6 + (5-2) x 9

", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["

81

", "

-7

", "

33

", "

63

", "

I once knew this but I've forgotten 

", "

I've never learnt to do this 

"], "matrix": [0, 0, "1", 0, 0, 0], "distractors": ["", "", "", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}]}, {"name": "Fractions", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questions": [{"name": "Express as a single fraction ", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Thomas Colton", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1533/"}, {"name": "vijay (gmail) teeluck", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1577/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

4. Express as a single fraction 2/7 + 5/8 

", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["

7/56

", "

51/56

", "

16/35

", "

7/15

", "

I once knew this but I've forgotten 

", "

I've never learnt to do this

"], "matrix": [0, "1", 0, 0, 0, 0], "distractors": ["", "", "", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "fraction ", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Thomas Colton", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1533/"}, {"name": "vijay (gmail) teeluck", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1577/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

5. Express as a single fraction 2/3 x 5/6

", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["

7/18

", "

12/15

", "

10/9

", "

5/9

", "

I once knew this but I've forgotten.

", "

I've never learnt to do this

"], "matrix": [0, 0, 0, "1", 0, 0], "distractors": ["", "", "", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "fraction ", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Thomas Colton", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1533/"}, {"name": "vijay (gmail) teeluck", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1577/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

6. Express as a single fraction 11/20 - 2/5

", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["

3/20

", "

9/100

", "

9/15

", "

11/50

", "

I once knew this but I've forgotten.

", "

I've never learnt to do this 

"], "matrix": ["1", 0, 0, 0, 0, 0], "distractors": ["", "", "", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "fractions", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Thomas Colton", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1533/"}, {"name": "vijay (gmail) teeluck", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1577/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

7. Express as a single fraction 3/5 divided by 2/3

", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["

1/10 

", "

2/5

", "

9/10 

", "

10/9 

", "

I once knew this but I've forgotten.

", "

I've never learnt to do this

"], "matrix": [0, 0, "1", 0, 0, 0], "distractors": ["", "", "", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}]}, {"name": "Expanding Brackets", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questions": [{"name": "Multiply out 2x(3+2y)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Thomas Colton", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1533/"}, {"name": "vijay (gmail) teeluck", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1577/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

Multiply out 2x(3 + 2y)

", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["

10xy 

", "

6x + 2y 

", "

6x + 4xy 

", "

12xy 

", "

I once knew this but I've forgotten 

", "

I've never learnt to do this

"], "matrix": [0, 0, "1", 0, 0, 0], "distractors": ["", "", "", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Multiply out (x + 4)(x - 2) ", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Thomas Colton", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1533/"}, {"name": "vijay (gmail) teeluck", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1577/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

Multiply out (x + 4)(x - 2) 

", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["

x+ 6x - 8

", "

x$^{2}$ + 2x + 2

", "

x$^{2}$ - 8 

", "

x$^{2}$ + 2x - 8 

", "

I once knew this but I've forgotten

", "

I've never learnt to do this

"], "matrix": [0, 0, 0, "1", 0, 0], "distractors": ["", "", "", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}]}, {"name": "Factorising ", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questions": [{"name": "Factorise completely 4xy - 8xz + 2x ", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Thomas Colton", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1533/"}, {"name": "vijay (gmail) teeluck", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1577/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

Factorise completley 4xy - 8xz + 2x 

", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["

2x(2y - 4z + 1) 

", "

x(4y - 8z + 2)

", "

2x(2y - 4z) 

", "

2x(2y - 6z)

", "

I once knew this but I've forgotten 

", "

I've never learnt to do this

"], "matrix": ["1", 0, 0, 0, 0, 0], "distractors": ["", "", "", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Factorise x^2 -5x + 6 ", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Thomas Colton", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1533/"}, {"name": "vijay (gmail) teeluck", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1577/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

Factorise x-5x + 6 

", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["

(x - 2)(x - 3) 

", "

(x - 2)(x + 3)

", "

(x + 2)(x - 3)

", "

(x + 2)(x + 3) 

", "

I once knew this but I've forgotten

", "

I've never learnt to do this

"], "matrix": ["1", 0, 0, 0, 0, 0], "distractors": ["", "", "", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}]}, {"name": "Solve for x ", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questions": [{"name": "Solve 4x - 4 = 28 ", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Thomas Colton", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1533/"}, {"name": "vijay (gmail) teeluck", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1577/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

12. Solve 4x - 4 = 28 

", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["

x = 6

", "

x = 8 

", "

x = 9 

", "

x = 3

", "

I once knew this but I've forgotten 

", "

I've never learnt to do this 

"], "matrix": [0, "1", 0, 0, 0, 0], "distractors": ["", "", "", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Solve 8x -5 = 2x + 10 ", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Thomas Colton", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1533/"}, {"name": "vijay (gmail) teeluck", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1577/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

Solve 8x -5 = 2x + 10 

", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["

x = 2.5 

", "

x = 4

", "

x = 0.5

", "

x = 1.5

", "

I once knew this but I've forgotten 

", "

I've never learnt to do this 

"], "matrix": ["1", 0, 0, 0, 0, 0], "distractors": ["", "", "", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Solve x^2 + 7x +6=0", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Thomas Colton", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1533/"}, {"name": "vijay (gmail) teeluck", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1577/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

Solve x$^2$ + 7x + 6 = 0 

", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["

x = -6, x = -1 

", "

x = 6, x = 1 

", "

x = 7, x = -1 

", "

x = -7, x = 1

", "

I once knew this but I've forgotten

", "

I've never learnt to do this 

"], "matrix": ["1", "0", "0", 0, 0, 0], "distractors": ["", "", "", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Solve 2x$^2$ - 11x + 12 = 0 ", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Thomas Colton", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1533/"}, {"name": "vijay (gmail) teeluck", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1577/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

Solve 2x$^2$ - 11x + 12 = 0 

", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["

x = 12, x = -1

", "

x = -12, x = 1

", "

x = -1.5, x = -4 

", "

x = 1.5, x = 4

", "

I once knew this but I've forgotten 

", "

I've never learnt to do this 

"], "matrix": [0, 0, "0", "1", 0, 0], "distractors": ["", "", "", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}]}, {"name": "Simultaneous Equations ", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questions": [{"name": "Solve these equations simultaneously: $x$ + $y$ = 11 and $x$ - $y$ = 7", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Thomas Colton", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1533/"}, {"name": "vijay (gmail) teeluck", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1577/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

Solve these equations simultaneously:  $x$ + $y$ = 11 and $x$ - $y$ = 7

", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["

x = 1, y = 10 

", "

x = 9, y = 2

", "

x = 2, y = 9

", "

x = 5, y = 2

", "

I once knew this but I've forgotten 

", "

I've never learnt to do this 

"], "matrix": [0, "1", 0, 0, 0, 0], "distractors": ["", "", "", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Solve these equations simultaneously: 4$x$ + 3$y$ = 6 and 3$x$ - 2$y$ = 13 ", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Thomas Colton", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1533/"}, {"name": "vijay (gmail) teeluck", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1577/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

Solve these equations simultaneously: 4$x$ + 3$y$ = 6 and 3$x$ - 2$y$ = 13 

", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["

x = 3, y  = -2 

", "

x = 2, y = 5 

", "

x = 5, y = 1

", "

x = 3, y = 2

", "

I once knew this but I've forgotten 

", "

I've never learnt to do this 

"], "matrix": ["1", 0, 0, 0, 0, 0], "distractors": ["", "", "", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}]}, {"name": "Laws of indices ", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questions": [{"name": "Simplify x^3x^4", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Thomas Colton", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1533/"}, {"name": "vijay (gmail) teeluck", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1577/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

Simplify $x^3$$x^4$

", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["

x12

", "

$x^{34}$ 

", "

$x^{7}$

", "

$x^{81}$ 

", "

I once knew this but I've forgotten 

", "

I've never learnt to do this 

"], "matrix": [0, 0, "1", 0, 0, 0], "distractors": ["", "", "", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "simplify ", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Thomas Colton", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1533/"}, {"name": "vijay (gmail) teeluck", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1577/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

Simplify $\\frac{x^8}{x^2}$

", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["

x$^6$

", "

x$^5$

", "

x$^4$

", "

x$^{10}$

", "

I once knew this but I've forgotten 

", "

I've never learnt to do this 

"], "matrix": ["1", 0, 0, 0, 0, 0], "distractors": ["", "", "", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "simplify ", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Thomas Colton", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1533/"}, {"name": "vijay (gmail) teeluck", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1577/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

Simplify $(x^{2})^{3}$

", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["

x$^{5}$

", "

x$^{6}$

", "

x$^{4}$

", "

x$^{10}$

", "

I once knew this but I've forgotten 

", "

I've never learnt to do this 

"], "matrix": [0, "1", 0, 0, 0, 0], "distractors": ["", "", "", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "simplify ", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Thomas Colton", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1533/"}, {"name": "vijay (gmail) teeluck", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1577/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

Simplify $(x^{2} y^{3} z)(x^{-1} y z^{1/2})$ 

", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["

$x^{-2} y^{3} z^{1/2}$

", "

$x^{-2} y^{4} z^{3/2}$ 

", "

$x y^{3} z^{3/2}$ 

", "

$x y^{4} z^{3/2}$ 

", "

I once knew this but I've forgotten

", "

I've never learnt to do this 

"], "matrix": ["0", 0, 0, "1", 0, 0], "distractors": ["", "", "", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}]}, {"name": "Trigonometry ", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questions": [{"name": "Trig - find hypotenuse from length & angle", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Thomas Colton", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1533/"}, {"name": "vijay (gmail) teeluck", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1577/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

If ABC is a right angled triangle, where A = 90, B=30o and AC = 12cm. Choose the correct answer for the length of BC.

", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["

7.21cm

", "

340cm

", "

24cm

", "

18.44cm

", "

I once knew this but I've forgotten 

", "

I've never learnt to do this

"], "matrix": [0, 0, "1", "0", 0, 0], "distractors": ["", "", "", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Trig - find angle from 2 lengths", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Thomas Colton", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1533/"}, {"name": "vijay (gmail) teeluck", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1577/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

If ABC is a right angled triangle, where A = 90o AB = 14cm and AC = 10cm. Choose the correct answer for the size of angle C. 

", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["

54.46$^{\\circ}$

", "

49.4$^{\\circ}$

", "

59$^{\\circ}$

", "

31$^{\\circ}$

", "

I once knew this but I've forgotten 

", "

I've never learnt to do this 

"], "matrix": ["1", 0, 0, 0, 0, 0], "distractors": ["", "", "", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}]}, {"name": "Grades", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questions": [{"name": "24. Grades ", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Thomas Colton", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1533/"}, {"name": "vijay (gmail) teeluck", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1577/"}], "statement": "

What grade did you get in Mathematics GCSE/GCE/Scottish standard?

", "metadata": {"licence": "None specified", "description": ""}, "variablesTest": {"condition": "", "maxRuns": 100}, "preamble": {"css": "", "js": ""}, "parts": [{"marks": 0, "type": "1_n_2", "matrix": [0, 0, 0, 0, 0], "showCellAnswerState": true, "displayColumns": 0, "unitTests": [], "adaptiveMarkingPenalty": 0, "shuffleChoices": false, "variableReplacements": [], "choices": ["

A

", "

B

", "

C

", "

D or lower 

", "

Didn't do it 

"], "distractors": ["", "", "", "", ""], "showCorrectAnswer": true, "showFeedbackIcon": true, "minMarks": 0, "useCustomName": false, "displayType": "radiogroup", "extendBaseMarkingAlgorithm": true, "maxMarks": 0, "variableReplacementStrategy": "originalfirst", "scripts": {}, "customMarkingAlgorithm": "", "customName": ""}], "advice": "", "ungrouped_variables": [], "tags": [], "functions": {}, "rulesets": {}, "variable_groups": [], "variables": {}}, {"name": "25.grade", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Thomas Colton", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1533/"}, {"name": "vijay (gmail) teeluck", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1577/"}], "metadata": {"licence": "None specified", "description": ""}, "rulesets": {}, "variables": {}, "variable_groups": [], "advice": "", "statement": "

What grade did you get in Mathematics A-Level/Scottish Higher (or did you take and alternative qualification)?

", "preamble": {"js": "", "css": ""}, "tags": [], "parts": [{"customMarkingAlgorithm": "", "unitTests": [], "matrix": [0, 0, 0, 0, 0, 0, 0, 0, 0], "extendBaseMarkingAlgorithm": true, "adaptiveMarkingPenalty": 0, "displayType": "radiogroup", "useCustomName": false, "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "showCorrectAnswer": true, "showFeedbackIcon": true, "displayColumns": 0, "variableReplacementStrategy": "originalfirst", "showCellAnswerState": true, "customName": "", "choices": ["

A

", "

B

", "

C

", "

D

", "

E

", "

N

", "

U

", "

BTEC Level 3/Diploma Level 3

", "Access Course"], "marks": 0, "type": "1_n_2", "scripts": {}, "distractors": ["", "", "", "", "", "", "", "", ""], "variableReplacements": []}], "variablesTest": {"maxRuns": 100, "condition": ""}, "ungrouped_variables": [], "functions": {}}]}, {"name": "Attitudes to maths", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questions": []}], "contributors": [{"name": "vijay (gmail) teeluck", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1577/"}], "extensions": [], "custom_part_types": [], "resources": []}