![](\"resources/question-resources/Sydney_water_usage.png\"/)
Used for LANTITE preparation (Australia). NC = Non Calculator strand. NA = Number & Algebra strand. Students are asked to obtain a percentage from an infographic, then choose the fraction which is closest. There are 7 different versions of this question.
", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "\n\n\n\n\n\n\n\n\n\n\n\n\nSydney Water advises that the water consumption for a typical household is distributed as follows:
\n
There are a few different ways to approach this type of question. For some questions, one method may be better than another.
\nNotice that the question says 'closest to' which indicates that the percentage may not be exactly equal to any of the fractions listed.
\nMETHOD 1
\nYou could convert the percentage to a fraction, by putting it over 100 and then simplifying. Sometimes this fraction will be one of the given options. eg 20% = $ \\frac{20} {100} $ = $ \\frac{1} {5} $.
\nSometimes you may need to round it first. eg round 49% to 50% then $ \\frac{50} {100} $ = $ \\frac{1} {2} $
\nMETHOD 2
\nAlternatively, convert each of the given fractions to a percentage by dividing the numerator by the denominator then multiplying by 100. Then compare them to see which is closest to the given percentage.
\neg $ \\frac{1} {8} $ = 1 ÷ 8 x 100 = 12.5%
\nMETHOD 3
\nIt is helpful to memorise the most common fraction/percentage relationships.
\n| Fraction | \nPercentage | \n
| $ \\frac{1} {2} $ | \n50% | \n
| $ \\frac{1} {3} $ | \n33.333..% | \n
| $ \\frac{1} {4} $ | \n25% | \n
| $ \\frac{1} {5} $ | \n20% | \n
| $ \\frac{1} {8} $ | \n12.5% | \n
| $ \\frac{1} {10} $ | \n10% | \n
List of description of each category in the infographic. Includes prepositions to make sentences work.
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", "templateType": "anything"}, "Distractor1": {"name": "Distractor1", "group": "Ungrouped variables", "definition": "[\"\\\\frac\\{1\\}\\{3\\}\",\n \"\\\\frac\\{1\\}\\{3\\}\",\n \"\\\\frac\\{1\\}\\{10\\}\",\n \"\\\\frac\\{1\\}\\{3\\}\",\n \"\\\\frac\\{1\\}\\{3\\}\",\n \"\\\\frac\\{3\\}\\{10\\}\",\n \"\\\\frac\\{1\\}\\{4\\}\"]", "description": "\n\n\n\n\n\n\n\n\n\n\nThis is the first incorrect answer for each appliance.
", "templateType": "anything"}, "CorrectFraction": {"name": "CorrectFraction", "group": "Ungrouped variables", "definition": "[\"\\\\frac\\{1\\}\\{4\\}\",\n \"\\\\frac\\{1\\}\\{5\\}\",\n \"\\\\frac\\{1\\}\\{8\\}\",\n \"\\\\frac\\{1\\}\\{2\\}\",\n \"\\\\frac\\{3\\}\\{10\\}\"\n ,\"\\\\frac\\{2\\}\\{5\\}\"\n ,\"\\\\frac\\{1\\}\\{5\\}\"]", "description": "\n\n\n\n\n\n\n\n\n\n\nThis is the correct answer for each appliance.
", "templateType": "anything"}, "Distractor3": {"name": "Distractor3", "group": "Ungrouped variables", "definition": "[\"\\\\frac\\{1\\}\\{26\\}\",\n \"\\\\frac\\{1\\}\\{20\\}\",\n \"\\\\frac\\{1\\}\\{12\\}\",\n \"\\\\frac\\{1\\}\\{49\\}\",\n \"\\\\frac\\{1\\}\\{29\\}\",\n \"\\\\frac\\{1\\}\\{40\\}\",\n \"\\\\frac\\{1\\}\\{20\\}\"]", "description": "\n\n\n\n\n\nThis is the third incorrect answer for each appliance.
", "templateType": "anything"}, "Index": {"name": "Index", "group": "Ungrouped variables", "definition": "random(0 .. 6#1)", "description": "\n\n\n\n\nThis randomly generated index is used to select the appliance, correct fraction answer and all 3 distractors.
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