// Numbas version: exam_results_page_options {"name": "Math Bridging Course Final Exam", "metadata": {"description": "", "licence": "None specified"}, "duration": 7200, "percentPass": "50", "showQuestionGroupNames": false, "shuffleQuestionGroups": false, "showstudentname": false, "question_groups": [{"name": "Final Exam", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questionNames": ["", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", ""], "variable_overrides": [[], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []], "questions": [{"name": "MBC-Q1", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Ray Handley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/21440/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

In Hindu Arabic numerals the Roman Number {RomNum} is:

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In the number {w}1 9{x}5 {y} {z} the face value of the numeral in the ten millions place is:

{w} x 10³ + {x} x 10² + {y} x 1 is the expanded form of:

The two numbers that have a product of 36 and a sum of 15 are:

The number {x} less than {y_Text} hundred thousand is:

Which of the following is not a factor of 330?

The highest common factor of {x} and {y} is:

The lowest common multiple of {x} and {y} is:

Which number is not a prime?

Which of these angles would be a reflex angle?

Which is the name given to {Phrase}?

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to 180\u1d52\", \"two angles that add to 90\u1d52\", \"an angle equal to 90\u1d52\", \"an angle between 90\u1d52 and 180\u1d52\", \"an angle between 180\u1d52 and 360\u1d52\" ]", "description": "", "templateType": "list of strings", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": "20"}, "ungrouped_variables": ["var_x", "x", "var_y", "y", "var_z", "z", "var_w", "w", "Phrase", "var_Phrase"], "variable_groups": [{"name": "Scenarios Group", "variables": ["scenario", "var_answer", "var_distractor1", "var_distractor2", "var_distractor3", "scenario2"]}], "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, 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Which one of these shapes has {Phrase} parallel sides?

What is the correct name for the angle marked in the diagram?

Simplify {a}/{b} + {c}/{d}

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"customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["{var_answer}", "{var_distractor1}", "{var_distractor2}", "{var_distractor3}"], "matrix": ["1", 0, 0, 0], "distractors": ["", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "MBC-Q15", "extensions": [], "custom_part_types": [], "resources": [["question-resources/angles-01.png", "/srv/numbas/media/question-resources/angles-01.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Ray Handley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/21440/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

Simplify 4 ²/₃ + 3 ¹/₁₂

Which statistical measure {Phrase}?

The diagram shows a spinner.

The arrow is spun and will stop in one of the six sections.

What is the probability that the arrow will stop in a section containing a number {x} or {range}?

Which statistical measure is not affected by outliers?

Ten scores have a mean of 15 and a standard deviation of 1.65. An additional score of {Score} is added. What is the effect on the mean and standard deviation?

What is defined to be {Phrase}?

What is an expression for a number {Letter}, that has {Num1} {Phrase} it and the result multiplied by {Num2}?

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false}, "num2": {"name": "num2", "group": "Ungrouped variables", "definition": "var_num2[scenario]", "description": "", "templateType": "anything", "can_override": false}, "var_letter": {"name": "var_letter", "group": "Ungrouped variables", "definition": "[ \"a\", \"b\", \"c\", \"d\" ]", "description": "", "templateType": "list of strings", "can_override": false}, "scenario2": {"name": "scenario2", "group": "Scenarios Group", "definition": "random(0..len(var_phrase)-1)", "description": "", "templateType": "anything", "can_override": false}, "var_Num1": {"name": "var_Num1", "group": "Ungrouped variables", "definition": "[ 3, 4, 7, 9 ]", "description": "", "templateType": "list of numbers", "can_override": false}, "var_Num2": {"name": "var_Num2", "group": "Ungrouped variables", "definition": "[ 2, 5, 7, 8 ]", "description": "", "templateType": "list of numbers", "can_override": false}, "ResultTestA": {"name": "ResultTestA", "group": "Scenarios Group", "definition": "if(Phrase=\"subtracted from\",\"{Num2}({Letter}-{Num1})\",\"{Num2}({Letter}+{Num1})\")", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": "20"}, "ungrouped_variables": ["Phrase", "var_Phrase", "letter", "Num1", "num2", "var_letter", "var_Num1", "var_Num2"], "variable_groups": [{"name": "Scenarios Group", "variables": ["scenario", "var_answer", "var_distractor1", "var_distractor2", "var_distractor3", "scenario2", "ResultTestA"]}], "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, 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"tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

What type of angle is {Angle}º?

What shape has rotational symmetry order 2?

{var_answer}

", "{var_distractor1}

", "{var_distractor2}

", "{var_distractor3}

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Which of the following measurements are equivalent to {x} metres?

How many millilitres is {x} litres?

What is the volume of a rectangular prism length {x} cm, width {y} cm and height {z} cm?

Which 4 graphs can be used to represent categorical data.

What is the ratio of {Shape1} to {Shape2} in this diagram?

Express the ratio {x} cm to 2 m in simplest form.

Write ^{x}/_{y} as a fraction in lowest terms.

Write {x} ^{y}/_{z} as an improper fraction.

Write ^{x}/_{y} as a mixed number.

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Evaluate 3 ⁴/₇ divided by 1 ²/₃

Use this data set to calculate the mean:

{x}, 6, {y}, 3, 16, {y}, 8, {x}, {x}, 2, 12

Use this data set to calculate the median:

{x}, 6, {y}, 3, 16, {y}, 8, {x}, {x}, 2, 12

Use this data set to calculate the mode:

5, 6, 13, 3, 16, 13, 8, 5, 5, 2, 12

Use this data set to calculate the range:

{x}, 6, {y}, 3, 16, {y}, 8, {x}, {x}, 2, 12

Calculate the interquartile range for the following scores:

10, 15, 8, 12, 4, 14, 8, 3, 13, 9, 5

A pottery jar contains {NumBalls} coloured balls. You are asked to decide what proportion of the balls are {Colour1} , but you are only allowed to look at 10 balls, and you can only remove one ball at a time.

You draw a ball at random from the jar, replace it, mix the balls well, and repeat until you have seen 10 balls. {Num2} were {Colour2}, {Num3} were {Colour3}, {Num1} were {Colour1}.

What is your estimate for the number of {Colour1} balls?

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"can_override": false}, "colour1": {"name": "colour1", "group": "Ungrouped variables", "definition": "var_colour1[scenario2]", "description": "", "templateType": "anything", "can_override": false}, "colour2": {"name": "colour2", "group": "Ungrouped variables", "definition": "var_colour2[scenario2]", "description": "", "templateType": "anything", "can_override": false}, "num2": {"name": "num2", "group": "Ungrouped variables", "definition": "var_num2[scenario2]", "description": "", "templateType": "anything", "can_override": false}, "colour3": {"name": "colour3", "group": "Ungrouped variables", "definition": "var_colour3[scenario2]", "description": "", "templateType": "anything", "can_override": false}, "num3": {"name": "num3", "group": "Ungrouped variables", "definition": "var_num3[scenario2]", "description": "", "templateType": "anything", "can_override": false}, "var_NumBalls": {"name": "var_NumBalls", "group": "Ungrouped variables", "definition": "100 .. 140#10", "description": "", "templateType": "range", "can_override": false}, "var_Num2": {"name": "var_Num2", "group": "Ungrouped variables", "definition": "2 .. 4#1", "description": "", "templateType": "range", "can_override": false}, "var_Num3": {"name": "var_Num3", "group": "Ungrouped variables", "definition": "3 .. 5#1", "description": "", "templateType": "range", "can_override": false}, "var_Colour1": {"name": "var_Colour1", "group": "Ungrouped variables", "definition": "[ \"Yellow\", \"Orange\", \"White\" ]", "description": "", "templateType": "list of strings", "can_override": false}, "var_Colour2": {"name": "var_Colour2", "group": "Ungrouped variables", "definition": "[ \"Brown\", \"Purple\", \"Violet\" ]", "description": "", "templateType": "list of strings", "can_override": false}, "var_Colour3": {"name": "var_Colour3", "group": "Ungrouped variables", "definition": "[ \"Red\", \"Blue\", \"Green\" ]", "description": "", "templateType": "list of strings", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": "20"}, "ungrouped_variables": ["var_Num1", "Num1", "var_Num2", "num2", "var_y", "var_Num3", "num3", "y", "var_NumBalls", "NumBalls", "var_Colour1", "colour1", "var_Colour2", "colour2", "var_Colour3", "colour3"], "variable_groups": [{"name": "Scenarios Group", "variables": ["scenario", "var_answer", "var_distractor1", "var_distractor2", "var_distractor3", "scenario2"]}], "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": true, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["{var_answer}", "{var_distractor1}", "{var_distractor2}", "{var_distractor3}"], "matrix": ["1", 0, 0, 0], "distractors": ["", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "MBC-Q40", "extensions": [], "custom_part_types": [], "resources": [["question-resources/angles-01.png", "/srv/numbas/media/question-resources/angles-01.png"], ["question-resources/spinner_wDrpNPo.png", "/srv/numbas/media/question-resources/spinner_wDrpNPo.png"], ["question-resources/spinner_q2h9s7w.png", "/srv/numbas/media/question-resources/spinner_q2h9s7w.png"], ["question-resources/ratios.png", "/srv/numbas/media/question-resources/ratios.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Ray Handley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/21440/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

{NumPeople} {People} were surveyed about which {ItemType} types should be sold in a school canteen.

The results were:

{Item1}: {Num1}
{Item2}: {Num2}
{Item3}: {Num3}
{Item4}: {Num4}

Calculate the sector angle for the category {Item2}.

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"description": "", "templateType": "anything", "can_override": false}, "scenario2": {"name": "scenario2", "group": "Scenarios Group", "definition": "random(0..len(var_itemtype)-1)", "description": "", "templateType": "anything", "can_override": false}, "numpeople": {"name": "numpeople", "group": "Ungrouped variables", "definition": "var_numpeople[scenario3]", "description": "", "templateType": "anything", "can_override": false}, "people": {"name": "people", "group": "Ungrouped variables", "definition": "var_people[scenario]", "description": "", "templateType": "anything", "can_override": false}, "item1": {"name": "item1", "group": "Ungrouped variables", "definition": "if({ItemType}=\"food\",\"Pizza\",\"Water\")", "description": "", "templateType": "anything", "can_override": false}, "item2": {"name": "item2", "group": "Ungrouped variables", "definition": "if({ItemType}=\"food\",\"Sandwiches\",\"Milk\")", "description": "", "templateType": "anything", "can_override": false}, "item3": {"name": "item3", "group": "Ungrouped variables", "definition": "if({ItemType}=\"food\",\"Meat pies\",\"Juice\")", "description": "", "templateType": "anything", "can_override": false}, "item4": {"name": "item4", "group": "Ungrouped variables", "definition": "if({ItemType}=\"food\",\"Sausage rolls\",\"Soft drink\")", "description": "", "templateType": "anything", "can_override": false}, "var_ItemType": {"name": "var_ItemType", "group": "Ungrouped variables", "definition": "[ \"food\", \"drink\" ]", "description": "", "templateType": "list of strings", "can_override": false}, "itemtype": {"name": "itemtype", "group": "Ungrouped variables", "definition": "var_itemtype[scenario2]", "description": "", "templateType": "anything", "can_override": false}, "var_People": {"name": "var_People", "group": "Ungrouped variables", "definition": "[ \"students\", \"pupils\", \"parents\", \"community members\" ]", "description": "", "templateType": "list of strings", "can_override": false}, "var_NumPeople": {"name": "var_NumPeople", "group": "Ungrouped variables", "definition": "[ 30, 90, 180 ]", "description": "", "templateType": "list of numbers", "can_override": false}, "num4": {"name": "num4", "group": "Ungrouped variables", "definition": "if({NumPeople}=30,8,if({NumPeople}=90,27,if({NumPeople}=180,65,0)))", "description": "", "templateType": "anything", "can_override": false}, "num1": {"name": "num1", "group": "Ungrouped variables", "definition": "if({NumPeople}=30,12,if({NumPeople}=90,32,if({NumPeople}=180,42,0)))", "description": "", "templateType": "anything", "can_override": false}, "num2": {"name": "num2", "group": "Ungrouped variables", "definition": "if({NumPeople}=30,30-{TotalOtherItems},if({NumPeople}=90,90-{TotalOtherItems},if({NumPeople}=180,180-{TotalOtherItems},0)))", "description": "", "templateType": "anything", "can_override": false}, "num3": {"name": "num3", "group": "Ungrouped variables", "definition": "if({NumPeople}=30,4,if({NumPeople}=90,19,if({NumPeople}=180,52,0)))", "description": "", "templateType": "anything", "can_override": false}, "numballs": {"name": "numballs", "group": "Ungrouped variables", "definition": "if({NumPeople}=30,12,if({NumPeople}=90,32,if({NumPeople}=180,78,0)))", "description": "", "templateType": "anything", "can_override": false}, "scenario3": {"name": "scenario3", "group": "Scenarios Group", "definition": "random(0..len(var_numpeople)-1)", "description": "", "templateType": "anything", "can_override": false}, "TotalOtherItems": {"name": "TotalOtherItems", "group": "Ungrouped variables", "definition": "Num1+Num3+Num4", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": "20"}, "ungrouped_variables": ["var_NumPeople", "numpeople", "people", "item1", "item2", "item3", "item4", "var_ItemType", "itemtype", "var_People", "num4", "num1", "num2", "num3", "numballs", "TotalOtherItems"], "variable_groups": [{"name": "Scenarios Group", "variables": ["scenario", "var_answer", "var_distractor1", "var_distractor2", "var_distractor3", "scenario2", "scenario3"]}], "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": true, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["{var_answer}^o", "{var_distractor1}^o", "{var_distractor2}^o", "{var_distractor3}^o"], "matrix": ["1", 0, 0, 0], "distractors": ["", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "MBC-Q41", "extensions": [], "custom_part_types": [], "resources": [["question-resources/angles-01.png", "/srv/numbas/media/question-resources/angles-01.png"], ["question-resources/spinner_wDrpNPo.png", "/srv/numbas/media/question-resources/spinner_wDrpNPo.png"], ["question-resources/spinner_q2h9s7w.png", "/srv/numbas/media/question-resources/spinner_q2h9s7w.png"], ["question-resources/ratios.png", "/srv/numbas/media/question-resources/ratios.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Ray Handley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/21440/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

What is a process in which some members of a population are selected and all members have an equal chance of being chosen.

If a = {a}, b = {b} and c = {c} calculate the value of the expression {Num1}a – {Num2}b + c.

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"anything", "can_override": false}, "var_a": {"name": "var_a", "group": "Ungrouped variables", "definition": "6 .. 14#1", "description": "", "templateType": "range", "can_override": false}, "a": {"name": "a", "group": "Ungrouped variables", "definition": "var_a[scenario]", "description": "", "templateType": "anything", "can_override": false}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "var_b[scenario]", "description": "", "templateType": "anything", "can_override": false}, "c": {"name": "c", "group": "Ungrouped variables", "definition": "var_c[scenario]", "description": "", "templateType": "anything", "can_override": false}, "var_b": {"name": "var_b", "group": "Ungrouped variables", "definition": "-11 .. -3#1", "description": "", "templateType": "range", "can_override": false}, "var_c": {"name": "var_c", "group": "Ungrouped variables", "definition": "-9 .. -1#1", "description": "", "templateType": "range", "can_override": false}, "var_Num1": {"name": "var_Num1", 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The area of a square is {Area} m². What is the side length?

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{NumTeams} teams play {Sport} against each other once in a round robin tournament. How many matches are played in total?

Every month the population of {Animals} increases by a factor of {GrowthRate}, if there is sufficient food and the {Animals} are not crowded. If you have {NumAnimals} {Animals} at the start of January, how many will you have at the end of April?

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Find five consecutive integers that add to 85.

One third of one fifth of one half of one tenth of a number is equal to {Num}. What is the number?

{NumMen} men and 2 boys want to cross a river using a small canoe. The canoe can carry two boys or one man. How many times must the canoe cross the river to get everyone to the other side?

{Person1} is {Num2} years younger than {Person2}. The total of their ages now is {Num1} years. Calculate the age of {Person2} in ten years.

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{Person1} has {Amt} in a bag containing \\$1 coins and \\$2 coins only.\u202f

The number of \\$1 coins is half the number of \\$2 coins. How many \\$2 coins are in the bag?

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