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and Units","calculatorUse":null,"isCalculation":false,"parts":[{"id":"ca328335-af80-4487-84f2-fddef6704113","label":"0","content":"Write $35 \\text{ cm}^3$ in $\\text{mm}^3$","markscheme":"- Recognises $1 \\text{ cm}^3 = 1000 \\text{ mm}^3$ B1\n- $35 \\times 1000 = 35000$ B1","marks":2,"order":0,"markingRubric":{"totalMarks":1,"points":[{"id":"p1","marks":1,"description":"Correctly converts to 35000 by multiplying by 1000.","code":"B"}],"finalAnswers":["35000"],"generatedAt":"2026-05-06T15:43:02.816Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":{"methods":[{"id":"convert_cubic_units","label":"Convert cubic units","steps":[{"type":"text","order":0,"title":"Cube the conversion","content":"Since $1\\text{ cm}=10\\text{ mm}$, a cubic unit scales in all three dimensions:\n\n$$1\\text{ cm}^3=(10\\text{ mm})^3=1000\\text{ mm}^3.$$\n\nThis fact earns the first mark.","highlights":[{"text":"Write $35 \\text{ cm}^3$ in $\\text{mm}^3$","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"1\\text{ cm}^3=\\htmlData{anchor=conversion}{\\color{@sky}{1000\\text{ mm}^3}}"},{"latex":"35\\text{ cm}^3=35\\times\\htmlData{anchor=substitution}{\\color{@sky}{1000\\text{ mm}^3}}"},{"latex":"35\\times1000\\text{ mm}^3=35000\\text{ mm}^3"},{"text":"Calculating 35 × 1000 = 35000 earns the second mark."}],"highlights":[{"color":"sky","style":"text-color-with-background","anchor":"conversion"}],"connections":[{"to":"substitution","from":"conversion","color":"sky","label":"substitute","style":"solid"}]},"order":1,"title":"Multiply by 1000","description":"Use the conversion from the previous step: each cubic centimetre is 1000 cubic millimetres."}]}],"generatedAt":"2026-07-21T03:02:55.584Z","modelVersion":"gpt-5.6-terra","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null,"walkthroughVideo":null},{"id":"4923fc9c-d31c-487d-a79a-9606ba8038a2","revisionId":"b223352a-9236-492f-bcdc-297ef41fa1b5","questionNumber":"6","questionType":"LA","specification":"","difficulty":2,"difficultyBand":"easy","totalMarks":2,"sourceTitle":"Conversions and Units","calculatorUse":null,"isCalculation":false,"parts":[{"id":"17127503-aa50-4b00-8df1-670cf40a0661","label":"0","content":"Write $4.5 \\text{ m}^2$ in $\\text{cm}^2$","markscheme":"- Recognises $1 \\text{ m}^2 = 10000 \\text{ cm}^2$ B1\n- $4.5 \\times 10000 = 45000$ B1","marks":2,"order":0,"markingRubric":{"totalMarks":1,"points":[{"id":"p1","marks":1,"description":"Correctly converts to 45000 by multiplying by 10000.","code":"B"}],"finalAnswers":["45000"],"generatedAt":"2026-05-06T15:43:02.816Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":{"methods":[{"id":"convert_area_units","label":"Convert square units","steps":[{"type":"text","order":0,"title":"Square the conversion","content":"Since $1\\text{ m}=100\\text{ cm}$, an area conversion must be **squared**:\n\n$$1\\text{ m}^2=(100\\text{ cm})^2=10000\\text{ cm}^2$$\n\nThis is the first mark: do not multiply by $100$, because the unit is square metres.","highlights":[{"text":"Write $4.5 \\text{ m}^2$ in $\\text{cm}^2$","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"\\htmlData{anchor=multiply}{4.5\\times10{,}000=45{,}000\\text{ cm}^2}"},{"text":" "}]},"order":1,"title":"Convert the area","description":"Multiply the given area by 10,000. This multiplication earns the second mark."}]}],"generatedAt":"2026-07-21T03:35:24.788Z","modelVersion":"gpt-5.6-terra","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null,"walkthroughVideo":null},{"id":"4c30642a-fdef-4bd8-8e41-aa5980199de7","revisionId":"cd67b431-27e2-4026-9946-0e1451fc00bc","questionNumber":"7","questionType":"LA","specification":"","difficulty":2,"difficultyBand":"easy","totalMarks":2,"sourceTitle":"Conversions and Units","calculatorUse":null,"isCalculation":false,"parts":[{"id":"1117465f-8ed1-493d-93c1-b3c1070692ea","label":"0","content":"Write $90 \\text{ mm}^2$ in $\\text{cm}^2$","markscheme":"- Recognises $1 \\text{ cm}^2 = 100 \\text{ mm}^2$ B1\n- $90 \\div 100 = 0.9$ B1","marks":2,"order":0,"markingRubric":{"totalMarks":1,"points":[{"id":"p1","marks":1,"description":"Correctly converts to 0.9 by dividing by 100.","code":"B"}],"finalAnswers":["0.9"],"generatedAt":"2026-05-06T15:43:02.816Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":{"methods":[{"id":"square_unit_conversion","label":"Convert square units","steps":[{"type":"text","order":0,"title":"Use the square conversion","content":"Since $1\\text{ cm}=10\\text{ mm}$, square both sides for an **area** conversion:\n\n$$1\\text{ cm}^2=(10\\text{ mm})^2=100\\text{ mm}^2.$$\n\nThis is the first mark: the conversion factor is $100$, not $10$, because both dimensions have been squared.","highlights":[{"text":"Write $90 \\text{ mm}^2$ in $\\text{cm}^2$","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"\\htmlData{anchor=conversion}{1\\text{ cm}^{2}=100\\text{ mm}^{2}}"},{"latex":"\\htmlData{anchor=calculation}{90\\text{ mm}^{2}\\div100=0.9\\text{ cm}^{2}}"}],"connections":[{"to":"calculation","from":"conversion","color":"sky","label":"divide by 100","style":"solid"}]},"order":1,"title":"Convert the area","description":"Use the conversion above. Showing 90 mm² ÷ 100 = 0.9 cm² earns the second B1 mark."}]}],"generatedAt":"2026-07-21T03:35:16.198Z","modelVersion":"gpt-5.6-terra","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null,"walkthroughVideo":null}],"subjectCode":"igcse_maths__cie","summaries":[{"id":"e5da9f83-83a5-4332-92e1-d0173bbb3ed7","difficultyBand":"easy","calculatorUse":null,"totalMarks":2,"questionType":"LA","isCalculation":false},{"id":"4923fc9c-d31c-487d-a79a-9606ba8038a2","difficultyBand":"easy","calculatorUse":null,"totalMarks":2,"questionType":"LA","isCalculation":false},{"id":"4c30642a-fdef-4bd8-8e41-aa5980199de7","difficultyBand":"easy","calculatorUse":null,"totalMarks":2,"questionType":"LA","isCalculation":false},{"id":"caae38d6-1d6a-4017-b6c2-cd7f8f127ad4","difficultyBand":"medium","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":false}],"title":"Conversions and Units","topicId":"718e1b27-999b-45b1-8304-aa125f96fe4e","topicSidebar":"$L3b","topicSlug":"grade-3-3-9-conversions-and-units","topicTitle":"Conversions and Units"}]}],"$L3c","$L3d"]}]