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bg-background","children":["$","$L39",null,{"backHref":"/igcse/maths/edexcel/questions","basePath":"/igcse/maths/edexcel/grade-3-3-6-percentages/questions","formulaUrl":null,"initialIndex":9,"initialQuestionWindow":[{"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":"$$\\text{Difference}=\\htmlData{anchor=answer}{\\color{@green}{£1}}$"}],"highlights":[{"color":"sky","style":"text-color","anchor":"larger"},{"color":"orange","style":"text-color","anchor":"smaller"},{"color":"green","style":"text-color-with-background","anchor":"answer"}]},"order":1,"title":"Subtract the bonuses","description":"Richard's bonus is £39 and Connor's is £40, so subtract the smaller bonus from the larger one. Writing £40 − £39 earns the second method mark (M1), and the final answer £1 earns the accuracy mark (A1)."}]}],"generatedAt":"2026-07-20T16:52:43.034Z","modelVersion":"gpt-5.6-sol","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":{"percent":79},"walkthroughVideo":null},{"id":"1f0701a5-7a3d-4e0b-9e13-ea079b30e98f","revisionId":"35fa7512-1927-436b-bed3-b53266c02a0f","questionNumber":"12","questionType":"LA","specification":"","difficulty":2,"difficultyBand":"easy","totalMarks":2,"sourceTitle":"Percentages","calculatorUse":null,"isCalculation":true,"parts":[{"id":"65984271-8b5f-4f6e-826f-748d2a1b17b5","label":"0","content":"David is paid £34000 per year. \nHe is going to get a 3% increase in the amount of money he is paid.\n\nWork out how much money David will be paid per year after the increase","markscheme":"- 3% of 34000: $340 \\times 3 = 1020$ M1\n- $34000 + 1020 = 35020$ A1","marks":2,"order":0,"markingRubric":{"totalMarks":2,"points":[{"id":"p1","marks":1,"description":"Calculates the 3% increase (1020).","code":"M"},{"id":"p2","marks":1,"description":"Final answer of 35020.","code":"A"}],"finalAnswers":["35020"],"generatedAt":"2026-05-07T01:44:13.438Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":{"methods":[{"id":"find_increase","label":"Find the percentage increase","steps":[{"type":"text","order":0,"title":"Find one per cent","content":"To find a percentage, start by finding $1\\%$. Divide the annual pay by $100$:\n\n$$£34000 \\div 100 = £340$$\n\nSo $1\\%$ of David's pay is $£340$.","highlights":[{"text":"3% increase","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"\\htmlData{anchor=onepercent}{\\color{@sky}{£340}}\\times 3"},{"latex":"\\htmlData{anchor=increase}{\\color{@green}{£1020}}"}],"highlights":[{"color":"sky","style":"text-color-with-background","anchor":"onepercent"},{"color":"green","style":"text-color-with-background","anchor":"increase"}],"connections":[{"to":"increase","from":"onepercent","color":"sky","label":"multiply by 3"}]},"order":1,"title":"Calculate the increase","description":"One per cent of £34,000 is £340. Multiply this by 3 to find the extra amount paid."},{"type":"hyper_latex","block":{"nodes":[{"latex":"\\htmlData{anchor=sum}{\\color{@sky}{£34000}+\\color{@amber}{£1020}}"},{"latex":"\\htmlData{anchor=total}{\\color{@green}{£35020}}"}],"highlights":[{"color":"amber","style":"text-color-with-background","anchor":"sum"},{"color":"green","style":"text-color-with-background","anchor":"total"}],"connections":[{"to":"total","from":"sum","color":"green","label":"add"}]},"order":2,"title":"Add the increase","description":"Add the increase to the original annual pay. Finding £1,020 earns the first mark; this final addition earns the second mark."}]}],"generatedAt":"2026-07-21T03:56:13.790Z","modelVersion":"gpt-5.6-terra","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":{"percent":90},"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":"$L3a","topicSlug":"grade-3-3-6-percentages","topicTitle":"Percentages"}]}],"$L3b","$L3c"]}]

Percentages

Question 8

Percentages Questions

Percentages

Question 8

Percentages Questions