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Find each part of $2500$, then add the three amounts."},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$10\\%\\text{ of }2500=250$"},{"latex":"$$30\\%\\text{ of }2500=3\\times250=750$"},{"latex":"$$5\\%\\text{ of }2500=250\\div2=125$"},{"latex":"$$1\\%\\text{ of }2500=2500\\div100=25$"},{"latex":"$$36\\%\\text{ of }2500=\\htmlData{anchor=sum}{\\color{@amber}{750+125+25}}$"},{"latex":"$$36\\%\\text{ of }2500=\\htmlData{anchor=answer}{\\color{@green}{900}}$"}],"highlights":[{"color":"amber","style":"text-color-with-background","anchor":"sum"},{"color":"green","style":"text-color-with-background","anchor":"answer"}]},"order":1,"title":"Find each amount","description":"Use $10\\%$ as a helpful starting point. Calculating the three parts and adding them earns M1; the correct final answer earns A1."}]}],"generatedAt":"2026-07-20T16:32:55.620Z","modelVersion":"gpt-5.6-sol","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":{"percent":68},"walkthroughVideo":null},{"id":"84186912-722a-4c19-89e9-60f22a6d456d","revisionId":"537e5993-0b51-4382-a56d-3e3c3011248d","questionNumber":"7","questionType":"LA","specification":"","difficulty":2,"difficultyBand":"easy","totalMarks":2,"sourceTitle":"Percentages","calculatorUse":null,"isCalculation":true,"parts":[{"id":"656bc32b-c287-44c8-9aaf-91d7cd63dd30","label":"0","content":"Work out 252% of 120.","markscheme":"- Method to find 200%, 50%, and 2%: $240 + 60 + 2.4$ M1\n- $302.4$ A1","marks":2,"order":0,"markingRubric":{"totalMarks":2,"points":[{"id":"p1","marks":1,"description":"Shows a complete method to find 252% (e.g., $2.52 \\times 120$).","code":"M"},{"id":"p2","marks":1,"description":"Final answer of 302.4.","code":"A"}],"finalAnswers":["302.4"],"generatedAt":"2026-05-07T01:44:13.438Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":{"methods":[{"id":"split_percentage","label":"Split the percentage","steps":[{"type":"text","order":0,"title":"Split the percentage","content":"Break $252\\%$ into percentages that are easy to calculate:\n\n$$252\\%=200\\%+50\\%+2\\%$$\n\nThis sets up the method required for the method mark.","highlights":[{"text":"Work out 252% of 120.","location":"specification"}]},{"type":"text","order":1,"title":"Calculate each part","content":"Use $100\\%$ of $120$ as the whole amount:\n\n- $200\\%$ of $120$ is $240$.\n- $50\\%$ of $120$ is $60$.\n- $2\\%$ of $120$ is $2.4$.\n\nFinding these three parts earns **M1**."},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$\\color{@sky}{\\htmlData{anchor=sum}{240+60+2.4}}$"},{"latex":"$$\\color{@green}{\\htmlData{anchor=result}{302.4}}$"}],"highlights":[{"color":"sky","style":"text-color","anchor":"sum"},{"color":"green","style":"text-color-with-background","anchor":"result"}],"connections":[{"to":"result","from":"sum","color":"green","style":"solid"}]},"order":2,"title":"Add the parts","description":"Add the three percentage amounts: 240 + 60 + 2.4 = 302.4. This is the final answer. A1: correct value."}]}],"generatedAt":"2026-07-20T16:38:14.784Z","modelVersion":"gpt-5.6-sol","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":{"percent":61},"walkthroughVideo":null},{"id":"4860eaa9-4bed-48ab-b42a-10ec2c103470","revisionId":"40e38a2e-9c02-48dd-b4aa-503a7b621cc9","questionNumber":"10","questionType":"LA","specification":"","difficulty":2,"difficultyBand":"easy","totalMarks":3,"sourceTitle":"Percentages","calculatorUse":null,"isCalculation":true,"parts":[{"id":"1eb159bc-dea4-40d5-9b53-692e3c862bdd","label":"0","content":"Richard gets a bonus of 30% of £130 \nConnor gets a bonus of £40\n\nWork out the difference between the bonus Richard gets and the bonus Connor gets","markscheme":"- Richard's bonus: $13 \\times 3 = 39$ M1\n- Difference: $40 - 39$ M1\n- £1 A1","marks":3,"order":0,"markingRubric":{"totalMarks":3,"points":[{"id":"p1","marks":1,"description":"Calculates Richard's bonus as 39.","code":"M"},{"id":"p2","marks":1,"description":"Shows a method to find the difference between the two bonuses.","code":"M"},{"id":"p3","marks":1,"description":"Final answer of 1.","code":"A"}],"finalAnswers":["1"],"generatedAt":"2026-05-07T01:44:13.438Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":{"methods":[{"id":"percentage_difference","label":"Find the bonus difference","steps":[{"type":"hyper_latex","block":{"nodes":[{"latex":"$$10\\%\\text{ of }£130=\\htmlData{anchor=ten_percent}{\\color{@sky}{£13}}$"},{"latex":"$$30\\%\\text{ of }£130=\\htmlData{anchor=triple}{\\color{@orange}{£13\\times 3}}$"},{"latex":"$$30\\%\\text{ of }£130=\\htmlData{anchor=richard_bonus}{\\color{@green}{£39}}$"}],"highlights":[{"color":"sky","style":"text-color","anchor":"ten_percent"},{"color":"orange","style":"text-color","anchor":"triple"},{"color":"green","style":"text-color","anchor":"richard_bonus"}],"connections":[{"to":"triple","from":"ten_percent","color":"sky","label":"multiply by 3"}]},"order":0,"title":"Calculate the percentage","description":"Find 10% of £130 first, then multiply by 3 to make 30%. This earns the first method mark (M1)."},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$\\text{Difference}=\\htmlData{anchor=larger}{\\color{@sky}{£40}}-\\htmlData{anchor=smaller}{\\color{@orange}{£39}}$"},{"latex":"$$\\text{Difference}=\\htmlData{anchor=answer}{\\color{@green}{£1}}$"}],"highlights":[{"color":"sky","style":"text-color","anchor":"larger"},{"color":"orange","style":"text-color","anchor":"smaller"},{"color":"green","style":"text-color-with-background","anchor":"answer"}]},"order":1,"title":"Subtract the bonuses","description":"Richard's bonus is £39 and Connor's is £40, so subtract the smaller bonus from the larger one. Writing £40 − £39 earns the second method mark (M1), and the final answer £1 earns the accuracy mark (A1)."}]}],"generatedAt":"2026-07-20T16:52:43.034Z","modelVersion":"gpt-5.6-sol","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":{"percent":79},"walkthroughVideo":null}],"subjectCode":"igcse_maths","summaries":[{"id":"49aad0cb-db94-4b4a-bc23-7f311c5bd496","difficultyBand":"easy","calculatorUse":null,"totalMarks":1,"questionType":"LA","isCalculation":true},{"id":"513777fd-a658-4c8e-8814-1739023d9dea","difficultyBand":"easy","calculatorUse":null,"totalMarks":1,"questionType":"LA","isCalculation":true},{"id":"9d033fa8-4cff-4391-a081-27b0842d3014","difficultyBand":"easy","calculatorUse":null,"totalMarks":1,"questionType":"LA","isCalculation":true},{"id":"f7c860e3-a4f5-4e29-82f1-4b2b81cf333c","difficultyBand":"easy","calculatorUse":null,"totalMarks":2,"questionType":"LA","isCalculation":false},{"id":"da8cc922-85a1-40ba-8d12-104753368925","difficultyBand":"easy","calculatorUse":null,"totalMarks":2,"questionType":"LA","isCalculation":false},{"id":"76bd83f5-375e-4d63-9e02-831abeba8be2","difficultyBand":"easy","calculatorUse":null,"totalMarks":2,"questionType":"LA","isCalculation":false},{"id":"84186912-722a-4c19-89e9-60f22a6d456d","difficultyBand":"easy","calculatorUse":null,"totalMarks":2,"questionType":"LA","isCalculation":true},{"id":"954226b4-d41b-4e9d-abd8-4dbd155f8fef","difficultyBand":"medium","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":false},{"id":"5d450901-49e0-4552-812e-9bf1f0db1eb6","difficultyBand":"medium","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":false},{"id":"4860eaa9-4bed-48ab-b42a-10ec2c103470","difficultyBand":"easy","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"aa68aa12-3468-45e1-8808-e45c7a087049","difficultyBand":"medium","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"1f0701a5-7a3d-4e0b-9e13-ea079b30e98f","difficultyBand":"easy","calculatorUse":null,"totalMarks":2,"questionType":"LA","isCalculation":true},{"id":"365e1e8a-8ecb-477b-a318-a0cecb92aa13","difficultyBand":"medium","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"e6c350c9-5283-4c44-bd9d-2fd296b18baf","difficultyBand":"medium","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"b7de3602-7708-465f-a70c-0636403c4c46","difficultyBand":"easy","calculatorUse":null,"totalMarks":2,"questionType":"LA","isCalculation":false},{"id":"734c6e90-695b-45f1-a668-dcea6928be52","difficultyBand":"medium","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":false},{"id":"a535798d-ee47-474b-85e2-43c658766c66","difficultyBand":"easy","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"9d59ab0e-7e1c-4591-84a2-b349d08f9d26","difficultyBand":"medium","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"e176c9b3-cb0a-4081-9697-78a65be85520","difficultyBand":"easy","calculatorUse":null,"totalMarks":2,"questionType":"LA","isCalculation":true}],"title":"Percentages","topicId":"4cb28c59-4752-415a-a7ea-4bb053067248","topicSidebar":"$L3b","topicSlug":"grade-3-3-6-percentages","topicTitle":"Percentages"}]}],"$L3c","$L3d"]}]