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weight per sheet.","code":"M"},{"id":"p2","marks":1,"description":"Final answer of 0.25.","code":"A"}],"finalAnswers":["0.25"],"generatedAt":"2026-05-07T01:55:05.308Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":{"methods":[{"id":"scale_down","label":"Scale down","steps":[{"type":"text","order":0,"title":"Compare the sheets","content":"The number of sheets falls from $500$ to $50$. Since $500 \\div 50 = 10$, the smaller amount has **one tenth** as many sheets.","highlights":[{"text":"500 sheets of paper weigh 2.5kg.","location":"specification"},{"text":"50 sheets of paper","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"\\htmlData{anchor=start}{500\\text{ sheets}}=2.5\\text{ kg}"},{"latex":"\\htmlData{anchor=calculation}{50\\text{ sheets}}=\\color{@sky}{2.5\\div10}\\text{ kg}"},{"latex":"\\htmlData{anchor=result}{50\\text{ sheets}}=\\color{@green}{0.25\\text{ kg}}"}],"highlights":[{"color":"sky","style":"text-color","anchor":"calculation"},{"color":"green","style":"text-color-with-background","anchor":"result"}]},"order":1,"title":"Scale the weight","description":"Divide the weight by the same scale factor. Dividing 2.5 by 10 earns M1; giving 0.25 kg earns A1."}]}],"generatedAt":"2026-07-20T16:36:16.089Z","modelVersion":"gpt-5.6-sol","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":{"percent":75},"walkthroughVideo":null},{"id":"0108ae63-c532-453b-8ede-33f10fc6a858","revisionId":"d8aab0c0-7ee3-4230-b91c-1114a7c04302","questionNumber":"5","questionType":"LA","specification":"","difficulty":1,"difficultyBand":"easy","totalMarks":2,"sourceTitle":"Direct and Inverse Proportion","calculatorUse":null,"isCalculation":true,"parts":[{"id":"4d76fb61-17c0-4bc7-8f7d-fbdd2752d0dd","label":"0","content":"It takes 2 painters 4 days to complete a job.\n\nWork out how many days it would take 1 painter to complete the same job.","markscheme":"- $2 \\times 4 = 8$ M1\n- Final answer 8 days A1","marks":2,"order":0,"markingRubric":{"totalMarks":2,"points":[{"id":"p1","marks":1,"description":"Calculates the total man-days required ($2 \\times 4$).","code":"M"},{"id":"p2","marks":1,"description":"Final answer of 8.","code":"A"}],"finalAnswers":["8"],"generatedAt":"2026-05-07T01:55:05.308Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":{"methods":[{"id":"unitary_method","label":"Find the time for one painter","steps":[{"type":"text","order":0,"title":"Notice the relationship","content":"The job stays the same. 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Including the unit **days** gives the final answer and earns **A1**.","highlights":[{"text":"how many days","location":"specification"},{"text":"same job","location":"specification"}]}]}],"generatedAt":"2026-07-20T16:44:37.782Z","modelVersion":"gpt-5.6-sol","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":{"percent":84},"walkthroughVideo":null}],"subjectCode":"igcse_maths","summaries":[{"id":"8286ab57-5f99-40c5-893b-799bc2a05cd9","difficultyBand":"easy","calculatorUse":null,"totalMarks":2,"questionType":"LA","isCalculation":true},{"id":"c7ee7497-43ea-4dbf-b587-30c5720537f9","difficultyBand":"easy","calculatorUse":null,"totalMarks":2,"questionType":"LA","isCalculation":true},{"id":"141f8f3c-efaa-4a0b-b184-a152070e0ab4","difficultyBand":"medium","calculatorUse":null,"totalMarks":2,"questionType":"LA","isCalculation":true},{"id":"901a3643-3e7a-4442-911a-f774c439b453","difficultyBand":"easy","calculatorUse":null,"totalMarks":2,"questionType":"LA","isCalculation":true},{"id":"0108ae63-c532-453b-8ede-33f10fc6a858","difficultyBand":"easy","calculatorUse":null,"totalMarks":2,"questionType":"LA","isCalculation":true},{"id":"038d9f99-963c-4ef7-b30a-7982baba1983","difficultyBand":"easy","calculatorUse":null,"totalMarks":2,"questionType":"LA","isCalculation":true},{"id":"0cc81215-f670-41ed-888d-67d91df12b4b","difficultyBand":"easy","calculatorUse":null,"totalMarks":2,"questionType":"LA","isCalculation":true},{"id":"9605641e-203d-4029-a823-1c3ccff3f1f7","difficultyBand":"easy","calculatorUse":null,"totalMarks":2,"questionType":"LA","isCalculation":true},{"id":"9e94d0ab-75c0-4238-890e-ce2bdba4d447","difficultyBand":"easy","calculatorUse":null,"totalMarks":2,"questionType":"LA","isCalculation":true},{"id":"0e06aefd-a803-4159-ba49-6ca68eeac850","difficultyBand":"easy","calculatorUse":null,"totalMarks":2,"questionType":"LA","isCalculation":true},{"id":"125424f0-b7d7-43fc-8b49-75b9dad7003c","difficultyBand":"easy","calculatorUse":null,"totalMarks":2,"questionType":"LA","isCalculation":true},{"id":"d6e20bbb-0f8f-4247-b514-8890ed31b776","difficultyBand":"easy","calculatorUse":null,"totalMarks":2,"questionType":"LA","isCalculation":true}],"title":"Direct and Inverse Proportion","topicId":"43e15371-e0da-4def-ad81-6a08e34e76b1","topicSidebar":"$L3c","topicSlug":"grade-6-6-3-direct-and-inverse-proportion","topicTitle":"Direct and Inverse Proportion"}]}],"$L3d","$L3e"]}]

Direct and Inverse Proportion

Question 3

Direct and Inverse Proportion Questions

Direct and Inverse Proportion

Question 3

Direct and Inverse Proportion Questions