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Convert the following units:
\n$\\var{b}${c} into {d} [[0]]{d}
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\n\nIf the units are getting bigger, you need to divide by 1000 for every step up you take.
\nIf the units are getting smaller, you need to multiply by 1000 for every step down you take.
\nIn this question, we have $\\var{b}${c} to convert into {d}.
\nSince {c} is {advice2} than {d}, we need to {advice1} (see the number of steps in the table above).
\nTherefore, $\\var{b}${advice1}$ = \\var{ans}$
\nRemember - to divide by $1000$, move the decimal point three spaces to the left (as there are $3$ zeroes in $1000$)
\nTo multiply by $1000$, move the decimal point three spaces to the right
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\n$\\var{b}${c} into {d} [[0]]{d}
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\n\nIf the units are getting bigger, you need to divide by 1000 for every step up you take.
\nIf the units are getting smaller, you need to multiply by 1000 for every step down you take.
\nIn this question, we have $\\var{b}${c} to convert into {d}.
\nSince {c} is {advice2} than {d}, we need to {advice1} (see the number of steps in the table above).
\nTherefore, $\\var{b}${advice1}$ = \\var{ans}$
\nRemember - to divide by $1000$, move the decimal point three spaces to the left (as there are $3$ zeroes in $1000$)
\nTo multiply by $1000$, move the decimal point three spaces to the right
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\n\nIf the units are getting bigger, you need to divide by 1000 for every step up you take.
\nIf the units are getting smaller, you need to multiply by 1000 for every step down you take.
\nIn this question, we have $\\var{b}${c} to convert into {d}.
\nSince {c} is {advice2} than {d}, we need to {advice1} (see the number of steps in the table above).
\nTherefore, $\\var{b}${advice1}$ = \\var{ans}$
\nRemember - to divide by $1000$, move the decimal point three spaces to the left (as there are $3$ zeroes in $1000$)
\nTo multiply by $1000$, move the decimal point three spaces to the right
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\n$\\var{b}${c} into {d} [[0]]{d}
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\n\nIf the units are getting bigger, you need to divide by 1000 for every step up you take.
\nIf the units are getting smaller, you need to multiply by 1000 for every step down you take.
\nIn this question, we have $\\var{b}${c} to convert into {d}.
\nSince {c} is {advice2} than {d}, we need to {advice1} (see the number of steps in the table above).
\nTherefore, $\\var{b}${advice1}$ = \\var{ans}$
\nRemember - to divide by $1000$, move the decimal point three spaces to the left (as there are $3$ zeroes in $1000$)
\nTo multiply by $1000$, move the decimal point three spaces to the right
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\n$\\var{b}${c} into {d} [[0]]{d}
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\n\nIf the units are getting bigger, you need to divide by 1000 for every step up you take.
\nIf the units are getting smaller, you need to multiply by 1000 for every step down you take.
\nIn this question, we have $\\var{b}${c} to convert into {d}.
\nSince {c} is {advice2} than {d}, we need to {advice1} (see the number of steps in the table above).
\nTherefore, $\\var{b}${advice1}$ = \\var{ans}$
\nRemember - to divide by $1000$, move the decimal point three spaces to the left (as there are $3$ zeroes in $1000$)
\nTo multiply by $1000$, move the decimal point three spaces to the right
", "rulesets": {}, "type": "question"}, {"name": "Drug Calculations", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Mark Hodds", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/510/"}], "advice": "Solution
\nIn order to calculate the amount of drug in ml, you need to use the following formula:
\n$\\dfrac{\\text{Prescribed dose}}{\\text{Stock Strength}}$ $\\times$ Stock dose.
\nIn this question: Prescribed dose is $\\var{a}$mg, Stock Strength is $\\var{b}$mg and Stock dose is 1ml.
\nUsing the formula: $\\dfrac{\\var{a}}{\\var{b}}$ $\\times$ $1$ = $\\var{c}$ml.
\nAlternative Solution
\nYou are told that the stock strength of the drug is $\\var{b}$mg in $1$ml.
\nSo for every $\\var{b}$mg of the drug we need, we need to give the patient $1$ml.
\nThis means $\\var{b}$mg = 1ml.
\nWe need $\\var{a}$mg.
\nIn order to get $\\var{a}$mg, we divde $\\var{b}$mg by $\\var{d}$.
\nBecause $\\var{b}$mg = $1$ml and we have divided $\\var{b}$mg by $\\var{d}$ to get $\\var{a}$mg, we must divide the right hand side of the equals sign by $\\var{d}$ also.
\nSo, we have $\\dfrac{\\var{b}}{\\var{d}}$ = $\\dfrac{1}{\\var{d}}$.
\n$\\var{a}$ = $\\var{c}$ml.
\nTherefore we must need to give the patient $\\var{c}$ml.
", "variablesTest": {"condition": "", "maxRuns": 100}, "metadata": {"description": "Question on drug calculations
", "licence": "Creative Commons Attribution 4.0 International"}, "functions": {}, "parts": [{"variableReplacements": [], "showCorrectAnswer": true, "useCustomName": false, "type": "gapfill", "marks": 0, "sortAnswers": false, "scripts": {}, "unitTests": [], "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "customName": "", "gaps": [{"variableReplacements": [], "showCorrectAnswer": true, "mustBeReducedPC": 0, "maxValue": "c", "useCustomName": false, "showFractionHint": true, "type": "numberentry", "allowFractions": false, "marks": "1", "mustBeReduced": false, "scripts": {}, "notationStyles": ["plain", "en", "si-en"], "correctAnswerFraction": false, "unitTests": [], "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "correctAnswerStyle": "plain", "customName": "", "minValue": "c", "customMarkingAlgorithm": ""}], "customMarkingAlgorithm": "", "prompt": "Your patient has been prescribed $\\var{a}$ mg of a drug as an injection. The stock strength given is $\\var{b}$mg in $1$ml. How many ml do you give to the patient? Give your answer to 3 decimal places where necessary.
\n[[0]] ml
"}], "variable_groups": [], "rulesets": {}, "variables": {"d": {"description": "", "group": "Ungrouped variables", "name": "d", "templateType": "anything", "definition": "precround(b/a,3)"}, "c": {"description": "", "group": "Ungrouped variables", "name": "c", "templateType": "anything", "definition": "precround(a/b,3)"}, "a": {"description": "", "group": "Ungrouped variables", "name": "a", "templateType": "anything", "definition": "random(1,5)"}, "b": {"description": "", "group": "Ungrouped variables", "name": "b", "templateType": "anything", "definition": "random(5,10,15)"}}, "tags": [], "preamble": {"css": "", "js": ""}, "ungrouped_variables": ["a", "b", "c", "d"], "statement": "", "type": "question"}, {"name": "Drug Calculations 1", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Mark Hodds", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/510/"}], "metadata": {"description": "Question on drug calculations
", "licence": "Creative Commons Attribution 4.0 International"}, "variable_groups": [], "variablesTest": {"condition": "", "maxRuns": 100}, "tags": [], "parts": [{"correctAnswerStyle": "plain", "showFeedbackIcon": true, "marks": "2", "scripts": {}, "prompt": "Your patient has been prescribed $\\var{a}$ mg of a drug as an injection. The stock strength given is $\\var{b}$mg in $1$ml. How many ml do you give to the patient? Give your answer to 3 decimal places where necessary.
\n", "showCorrectAnswer": true, "notationStyles": ["plain", "en", "si-en"], "allowFractions": false, "correctAnswerFraction": false, "minValue": "c", "steps": [{"variableReplacements": [], "scripts": {}, "prompt": "Hint:
\nIn order to calculate the amount of drug in ml, you need to use the following formula:
\n$\\dfrac{\\text{Prescribed dose}}{\\text{Stock Strength}}$ $\\times$ Stock dose.
\n\n", "type": "information", "showFeedbackIcon": true, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "marks": 0}], "type": "numberentry", "stepsPenalty": "1", "maxValue": "c", "variableReplacementStrategy": "originalfirst", "variableReplacements": []}], "functions": {}, "advice": "
Solution
\nIn order to calculate the amount of drug in ml, you need to use the following formula:
\n$\\dfrac{\\text{Prescribed dose}}{\\text{Stock Strength}}$ $\\times$ Stock dose.
\nIn this question: Prescribed dose is $\\var{a}$mg, Stock Strength is $\\var{b}$mg and Stock dose is 1ml.
\nUsing the formula: $\\dfrac{\\var{a}}{\\var{b}}$ $\\times$ $1$ = $\\var{c}$ml.
\nAlternative Solution
\nYou are told that the stock strength of the drug is $\\var{b}$mg in $1$ml.
\nSo for every $\\var{b}$mg of the drug we need, we need to give the patient $1$ml.
\nThis means $\\var{b}$mg = 1ml.
\nWe need $\\var{a}$mg.
\nIn order to get $\\var{a}$mg, we divde $\\var{b}$mg by $\\var{d}$.
\nBecause $\\var{b}$mg = $1$ml and we have divided $\\var{b}$mg by $\\var{d}$ to get $\\var{a}$mg, we must divide the right hand side of the equals sign by $\\var{d}$ also.
\nSo, we have $\\dfrac{\\var{b}}{\\var{d}}$ = $\\dfrac{1}{\\var{d}}$.
\n$\\var{a}$ = $\\var{c}$ml.
\nTherefore we must need to give the patient $\\var{c}$ml.
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\nAmount of Drug $\\times$ Weight. -> $\\var{b}$mg$\\times \\var{a} = \\var{f}$mg
\nAs the dose comes in $10$mg per {m}, we need to divide $\\var{f}$ by $10$ to get $\\var{z}${units}.
\nIf the question then asks you for the single dose, you need to divide your answer by the number of doses given to the patient. -> $\\dfrac{\\var{z}}{\\var{c}} = \\var{y} = \\var{g}${units} (rounded up to the nearest whole number).
\nRemember that you won't usually give the patient a decimal amount of drug so you may need to round your answer up to the nearest whole number.
\nAlso remember that the units given to the patient are always the units that the weight of drug comes in, which is always either ml, mcl, ampoules, or tablets.
", "parts": [{"sortAnswers": false, "useCustomName": false, "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "scripts": {}, "customName": "", "gaps": [{"useCustomName": false, "minValue": "{ans}", "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "scripts": {}, "customName": "", "correctAnswerFraction": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "unitTests": [], "correctAnswerStyle": "plain", "customMarkingAlgorithm": "", "type": "numberentry", "marks": "1", "mustBeReduced": false, "maxValue": "{ans}", "allowFractions": false, "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "variableReplacements": []}, {"choices": ["{units}", "{wrong1}", "{wrong2}", "{wrong3}"], "minMarks": 0, "useCustomName": false, "shuffleChoices": false, "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "scripts": {}, "customName": "", "distractors": ["", "", "", ""], "displayColumns": 0, "displayType": "dropdownlist", "unitTests": [], "maxMarks": 0, "matrix": ["1", 0, 0, 0], "customMarkingAlgorithm": "", "type": "1_n_2", "marks": 0, "showCellAnswerState": true, "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "variableReplacements": []}], "unitTests": [], "customMarkingAlgorithm": "", "type": "gapfill", "marks": 0, "prompt": "A patient, whose weight is $\\var{a}$kg, has been prescribed Drug X, $\\var{b}$mg/kg/day in $\\var{c}$ divided dose(s). The dose comes in $10$mg per {m}. Calculate the {d} dose given to the patient and the units that it is given in from the choices in the drop down list below.
\nGive your answer to the nearest whole number.
\n[[0]][[1]]
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", "parts": [{"correctAnswerFraction": false, "allowFractions": false, "marks": "2", "correctAnswerStyle": "plain", "prompt": "A patient who is $\\var{a}$ years old and weighs $\\var{b}$ kg has been prescribed $\\var{d}${j} per kilogram body weight of elixir X. The elixir is available as $50${k} per ml. How many {k} does the patient require per single dose?
", "minValue": "{ans}", "showFeedbackIcon": true, "maxValue": "{ans}", "variableReplacementStrategy": "originalfirst", "stepsPenalty": 0, "steps": [{"variableReplacementStrategy": "originalfirst", "marks": 0, "prompt": "In order to calculate the amount of drug, you need to use the following formula:
\nPrescribed amount $\\times$ Weight.
\nIf the question then asks you for a dose that is in different units to what the prescribed amount is, you need to adjust accordingly by either multiplying or dividing by $1000$
", "scripts": {}, "variableReplacements": [], "showFeedbackIcon": true, "type": "information", "showCorrectAnswer": true}], "type": "numberentry", "notationStyles": ["plain", "en", "si-en"], "scripts": {}, "variableReplacements": [], "showCorrectAnswer": true}], "advice": "In order to calculate the amount of drug, you need to use the following formula:
\nPrescribed amount $\\times$ Weight.
\nIf the question then asks you for a dose that is in different units to what the prescribed amount is, you need to adjust accordingly by either multiplying or dividing by $1000$.
\n\n Dose → \nPrescribed ↓ \n | \nmg | \nmcg | \n
mg | \nx1 | \nx1000 | \n
mcg | \n÷1000 | \nx1 | \n
Drug Calculations
", "licence": "Creative Commons Attribution 4.0 International"}, "functions": {}, "type": "question"}, {"name": "Nursing Question 5", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Mark Hodds", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/510/"}], "preamble": {"js": "", "css": ""}, "variablesTest": {"condition": "", "maxRuns": 100}, "tags": [], "parts": [{"gaps": [{"correctAnswerStyle": "plain", "marks": "2", "scripts": {}, "notationStyles": ["plain", "en", "si-en"], "allowFractions": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "minValue": "{ans}", "type": "numberentry", "showFeedbackIcon": false, "maxValue": "{ans}", "correctAnswerFraction": false, "showCorrectAnswer": true}], "stepsPenalty": 0, "marks": 0, "variableReplacements": [], "prompt": "Your patient's date of birth is $\\var{a1}^{\\text{th}}$ {b1} $\\var{c}$. What is their age on the $\\var{a2}^{\\text{th}}$ {b2} $\\var{d}$?
\n[[0]] years old
", "steps": [{"marks": 0, "variableReplacements": [], "prompt": "You need to take into account the following information:
\n\n | Month of birth comes BEFORE month given | \nMonth of birth comes AFTER month given | \nMonths are the SAME | \n
Day of birth comes BEFORE day given | \nYear given - Year of Birth | \nYear given - Year of Birth - 1 | \nYear given - Year of Birth | \n
Day of birth comes AFTER day given | \nYear given - Year of Birth | \nYear given - Year of Birth - 1 | \nYear given - Year of Birth - 1 | \n
Days are the SAME | \nYear given - Year of Birth | \nYear given - Year of Birth - 1 | \nYear given - Year of Birth | \n
Example: Date given in the question is 17th February 2018
\nYear of Birth: 1989 | \nJanuary | \nMarch | \nFebruary | \n
16th | \n2018 - 1989 = 29 Years Old | \n2018 - 1989 - 1 = 28 Years Old | \n2018 - 1989 = 29 Years Old | \n
18th | \n2018 - 1989 = 29 Years Old | \n2018 - 1989 - 1 = 28 Years Old | \n2018 - 1989 - 1 = 28 Years Old | \n
17th | \n2018 - 1989 = 29 Years Old | \n2018 - 1989 - 1 = 28 Years Old | \n2018 - 1989 = 29 Years Old (Happy Birthday!) | \n
Calculating ages based on dates
", "licence": "Creative Commons Attribution 4.0 International"}, "rulesets": {}, "statement": "Age
", "type": "question"}, {"name": "Nursing Question 5", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Mark Hodds", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/510/"}], "preamble": {"js": "", "css": ""}, "variablesTest": {"condition": "", "maxRuns": 100}, "tags": [], "parts": [{"gaps": [{"correctAnswerStyle": "plain", "marks": "2", "scripts": {}, "notationStyles": ["plain", "en", "si-en"], "allowFractions": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "minValue": "{ans}", "type": "numberentry", "showFeedbackIcon": false, "maxValue": "{ans}", "correctAnswerFraction": false, "showCorrectAnswer": true}], "stepsPenalty": 0, "marks": 0, "variableReplacements": [], "prompt": "Your patient's date of birth is $\\var{a1}^{\\text{th}}$ {b1} $\\var{c}$. What is their age on the $\\var{a2}^{\\text{th}}$ {b2} $\\var{d}$?
\n[[0]] years old
", "steps": [{"marks": 0, "variableReplacements": [], "prompt": "You need to take into account the following information:
\n\n | Month of birth comes BEFORE month given | \nMonth of birth comes AFTER month given | \nMonths are the SAME | \n
Day of birth comes BEFORE day given | \nYear given - Year of Birth | \nYear given - Year of Birth - 1 | \nYear given - Year of Birth | \n
Day of birth comes AFTER day given | \nYear given - Year of Birth | \nYear given - Year of Birth - 1 | \nYear given - Year of Birth - 1 | \n
Days are the SAME | \nYear given - Year of Birth | \nYear given - Year of Birth - 1 | \nYear given - Year of Birth | \n
Example: Date given in the question is 17th February 2018
\nYear of Birth: 1989 | \nJanuary | \nMarch | \nFebruary | \n
16th | \n2018 - 1989 = 29 Years Old | \n2018 - 1989 - 1 = 28 Years Old | \n2018 - 1989 = 29 Years Old | \n
18th | \n2018 - 1989 = 29 Years Old | \n2018 - 1989 - 1 = 28 Years Old | \n2018 - 1989 - 1 = 28 Years Old | \n
17th | \n2018 - 1989 = 29 Years Old | \n2018 - 1989 - 1 = 28 Years Old | \n2018 - 1989 = 29 Years Old (Happy Birthday!) | \n
Calculating ages based on dates
", "licence": "Creative Commons Attribution 4.0 International"}, "rulesets": {}, "statement": "Age
", "type": "question"}, {"name": "Nursing Question 5", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Mark Hodds", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/510/"}], "preamble": {"js": "", "css": ""}, "variablesTest": {"condition": "", "maxRuns": 100}, "tags": [], "parts": [{"gaps": [{"correctAnswerStyle": "plain", "marks": "2", "scripts": {}, "notationStyles": ["plain", "en", "si-en"], "allowFractions": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "minValue": "{ans}", "type": "numberentry", "showFeedbackIcon": false, "maxValue": "{ans}", "correctAnswerFraction": false, "showCorrectAnswer": true}], "stepsPenalty": 0, "marks": 0, "variableReplacements": [], "prompt": "Your patient's date of birth is $\\var{a1}^{\\text{th}}$ {b1} $\\var{c}$. What is their age on the $\\var{a2}^{\\text{th}}$ {b2} $\\var{d}$?
\n[[0]] years old
", "steps": [{"marks": 0, "variableReplacements": [], "prompt": "You need to take into account the following information:
\n\n | Month of birth comes BEFORE month given | \nMonth of birth comes AFTER month given | \nMonths are the SAME | \n
Day of birth comes BEFORE day given | \nYear given - Year of Birth | \nYear given - Year of Birth - 1 | \nYear given - Year of Birth | \n
Day of birth comes AFTER day given | \nYear given - Year of Birth | \nYear given - Year of Birth - 1 | \nYear given - Year of Birth - 1 | \n
Days are the SAME | \nYear given - Year of Birth | \nYear given - Year of Birth - 1 | \nYear given - Year of Birth | \n
Example: Date given in the question is 17th February 2018
\nYear of Birth: 1989 | \nJanuary | \nMarch | \nFebruary | \n
16th | \n2018 - 1989 = 29 Years Old | \n2018 - 1989 - 1 = 28 Years Old | \n2018 - 1989 = 29 Years Old | \n
18th | \n2018 - 1989 = 29 Years Old | \n2018 - 1989 - 1 = 28 Years Old | \n2018 - 1989 - 1 = 28 Years Old | \n
17th | \n2018 - 1989 = 29 Years Old | \n2018 - 1989 - 1 = 28 Years Old | \n2018 - 1989 = 29 Years Old (Happy Birthday!) | \n
Calculating ages based on dates
", "licence": "Creative Commons Attribution 4.0 International"}, "rulesets": {}, "statement": "Age
", "type": "question"}, {"name": "Nursing Question 5", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Mark Hodds", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/510/"}], "preamble": {"js": "", "css": ""}, "variablesTest": {"condition": "", "maxRuns": 100}, "tags": [], "parts": [{"gaps": [{"correctAnswerStyle": "plain", "marks": "2", "scripts": {}, "notationStyles": ["plain", "en", "si-en"], "allowFractions": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "minValue": "{ans}", "type": "numberentry", "showFeedbackIcon": false, "maxValue": "{ans}", "correctAnswerFraction": false, "showCorrectAnswer": true}], "stepsPenalty": 0, "marks": 0, "variableReplacements": [], "prompt": "Your patient's date of birth is $\\var{a1}^{\\text{th}}$ {b1} $\\var{c}$. What is their age on the $\\var{a2}^{\\text{th}}$ {b2} $\\var{d}$?
\n[[0]] years old
", "steps": [{"marks": 0, "variableReplacements": [], "prompt": "You need to take into account the following information:
\n\n | Month of birth comes BEFORE month given | \nMonth of birth comes AFTER month given | \nMonths are the SAME | \n
Day of birth comes BEFORE day given | \nYear given - Year of Birth | \nYear given - Year of Birth - 1 | \nYear given - Year of Birth | \n
Day of birth comes AFTER day given | \nYear given - Year of Birth | \nYear given - Year of Birth - 1 | \nYear given - Year of Birth - 1 | \n
Days are the SAME | \nYear given - Year of Birth | \nYear given - Year of Birth - 1 | \nYear given - Year of Birth | \n
Example: Date given in the question is 17th February 2018
\nYear of Birth: 1989 | \nJanuary | \nMarch | \nFebruary | \n
16th | \n2018 - 1989 = 29 Years Old | \n2018 - 1989 - 1 = 28 Years Old | \n2018 - 1989 = 29 Years Old | \n
18th | \n2018 - 1989 = 29 Years Old | \n2018 - 1989 - 1 = 28 Years Old | \n2018 - 1989 - 1 = 28 Years Old | \n
17th | \n2018 - 1989 = 29 Years Old | \n2018 - 1989 - 1 = 28 Years Old | \n2018 - 1989 = 29 Years Old (Happy Birthday!) | \n
Calculating ages based on dates
", "licence": "Creative Commons Attribution 4.0 International"}, "rulesets": {}, "statement": "Age
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\nConvert the Percentage into a decimal by dividing by 100.
\nMultiply your answer by the original drug amount.
\nTake your answer away from the original drug amount.
\nMethod 2
\nPercentage means \"out of 100\" so the maximum a true percentage can be is 100.
\nIf we reduce something by a percentage then what is left is 100 minus the original percentage which is our new percentage.
\nConvert the new percentage into a decimal by dividng by 100.
\nMultiply your decimal answer by the original drug amount.
", "showCorrectAnswer": true, "showFeedbackIcon": true, "marks": 0, "variableReplacements": [], "scripts": {}, "type": "information"}], "prompt": "The normal adult dose of drug A is $\\var{a}$mcg. Since the patient is a child, they require a reduction in dosage of $\\var{b}\\%$. What is the new dose that the patient should be given? Give your answer in both mcg and mg.
\n[[0]]mcg
\n[[1]]mg
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", "preamble": {"js": "", "css": ""}, "ungrouped_variables": ["a", "b", "ans", "ans1", "b1", "c", "b2", "d"], "variable_groups": [], "advice": "Method 1
\nConvert the Percentage into a decimal by dividing by 100. -> $\\dfrac{\\var{b}}{100} = \\var{b1}$
\nMultiply your answer by the original drug amount. -> $\\var{b1}\\times\\var{a} = \\var{c}$
\nTake your answer away from the original drug amount. -> $\\var{a} - \\var{c} = \\var{ans}$
\nMethod 2
\nPercentage means \"out of 100\" so the maximum a true percentage can be is 100.
\nIf we reduce something by a percentage then what is left is 100 minus the original percentage which is our new percentage. -> $100 - \\var{b} = \\var{b2}$
\nConvert the new percentage into a decimal by dividng by 100. -> $\\dfrac{\\var{b2}}{100} = \\var{d}$
\nMultiply your decimal answer by the original drug amount. -> $\\var{a} \\times \\var{d} = \\var{ans}$
\nTo convert, divide your answer by 1000. -> $\\dfrac{\\var{ans}}{1000} = \\var{ans1}$
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\nConvert the Percentage into a decimal by dividing by 100.
\nMultiply your answer by the original drug amount.
\nTake your answer away from the original drug amount.
\nMethod 2
\nPercentage means \"out of 100\" so the maximum a true percentage can be is 100.
\nIf we reduce something by a percentage then what is left is 100 minus the original percentage which is our new percentage.
\nConvert the new percentage into a decimal by dividng by 100.
\nMultiply your decimal answer by the original drug amount.
", "showCorrectAnswer": true, "showFeedbackIcon": true, "marks": 0, "variableReplacements": [], "scripts": {}, "type": "information"}], "prompt": "The normal adult dose of drug A is $\\var{a}$mcg. Since the patient is a child, they require a reduction in dosage of $\\var{b}\\%$. What is the new dose that the patient should be given? Give your answer in both mcg and mg.
\n[[0]]mcg
\n[[1]]mg
", "showCorrectAnswer": true, "showFeedbackIcon": true, "gaps": [{"variableReplacementStrategy": "originalfirst", "scripts": {}, "showFeedbackIcon": false, "variableReplacements": [], "minValue": "{ans}", "notationStyles": ["plain", "en", "si-en"], "type": "numberentry", "allowFractions": false, "marks": "2", "correctAnswerStyle": "plain", "showCorrectAnswer": true, "correctAnswerFraction": false, "maxValue": "{ans}"}, {"variableReplacementStrategy": "originalfirst", "scripts": {}, "showFeedbackIcon": true, "variableReplacements": [{"part": "p0g0", "variable": "ans", "must_go_first": true}], "minValue": "{ans1}", "notationStyles": ["plain", "en", "si-en"], "type": "numberentry", "allowFractions": false, "marks": "1", "correctAnswerStyle": "plain", "showCorrectAnswer": true, "correctAnswerFraction": false, "maxValue": "{ans1}"}], "marks": 0, "variableReplacements": [], "scripts": {}, "stepsPenalty": "2", "type": "gapfill"}], "statement": "Dosages using percentages
", "preamble": {"js": "", "css": ""}, "ungrouped_variables": ["a", "b", "ans", "ans1", "b1", "c", "b2", "d"], "variable_groups": [], "advice": "Method 1
\nConvert the Percentage into a decimal by dividing by 100. -> $\\dfrac{\\var{b}}{100} = \\var{b1}$
\nMultiply your answer by the original drug amount. -> $\\var{b1}\\times\\var{a} = \\var{c}$
\nTake your answer away from the original drug amount. -> $\\var{a} - \\var{c} = \\var{ans}$
\nMethod 2
\nPercentage means \"out of 100\" so the maximum a true percentage can be is 100.
\nIf we reduce something by a percentage then what is left is 100 minus the original percentage which is our new percentage. -> $100 - \\var{b} = \\var{b2}$
\nConvert the new percentage into a decimal by dividng by 100. -> $\\dfrac{\\var{b2}}{100} = \\var{d}$
\nMultiply your decimal answer by the original drug amount. -> $\\var{a} \\times \\var{d} = \\var{ans}$
\nTo convert, divide your answer by 1000. -> $\\dfrac{\\var{ans}}{1000} = \\var{ans1}$
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