","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":{"percent":81,"sampleSize":89}},{"id":"a867577f-1069-4d1f-830a-30423ea7df13","revisionId":"8f9fa6b8-b7ac-4ab3-8d6c-93bb1ec188e9","questionNumber":"4","questionType":"LA","specification":"","difficulty":2,"difficultyBand":null,"totalMarks":3,"sourceTitle":"Ratio","calculatorUse":null,"parts":[{"id":"f41f45f4-227f-4fd2-9ac1-9d8fd7268b38","label":"0","content":"Carly and James share some money in the ratio 5 : 3\nCarly gets £70 more than James.\n\nWork out how much money James gets.","markscheme":"- Difference in parts: $5 - 3 = 2$ M1\n- Value of one part: $70 \\div 2 = 35$ M1\n- James's share: $3 \\times 35 = 105$ A1","marks":3,"order":0,"markingRubric":{"totalMarks":3,"points":[{"id":"p1","marks":1,"description":"Identifies that the difference of 2 parts corresponds to £70.","code":"M"},{"id":"p2","marks":1,"description":"Calculates the value of one part as £35.","code":"M"},{"id":"p3","marks":1,"description":"Calculates James's total as £105.","code":"A"}],"finalAnswers":["105"],"generatedAt":"2026-05-07T01:45:21.089Z","modelVersion":"gemini-3-flash-preview"},"explanation":{"methods":[{"id":"ratio_parts","label":"Compare ratio parts","steps":[{"type":"text","order":0,"title":"Compare the shares","content":"Carly has $5$ parts and James has $3$ parts. The £$70$ is the **difference** between their shares, so first find the difference in parts:\n\n$$5-3=2$$\n\nThis earns the first method mark (M1).","highlights":[{"text":"Carly and James share some money in the ratio 5 : 3","location":"specification"},{"text":"Carly gets £70 more than James.","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$\\htmlData{anchor=amount}{\\color{@sky}{£70}}\\text{ corresponds to }\\htmlData{anchor=parts}{\\color{@amber}{2\\text{ parts}}}$"},{"latex":"$$\\htmlData{anchor=division}{\\color{@sky}{£70\\div2}}=\\htmlData{anchor=onepart}{\\color{@green}{£35\\text{ per part}}}$"},{"text":"M1: £70 ÷ 2 = £35, so one ratio part is worth £35."}]},"order":1,"title":"Find one part","description":"The £70 difference represents two equal ratio parts. Divide by 2 to find the value of one part."},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$\\htmlData{anchor=jamesparts}{\\color{@amber}{3\\text{ parts}}}$"},{"latex":"$$\\htmlData{anchor=calculation}{\\color{@sky}{3\\times£35}}=\\htmlData{anchor=answer}{\\color{@green}{£105}}$"},{"text":"A1: 3 × 35 = 105, so James gets £105."}],"highlights":[{"color":"green","style":"text-color-with-background","anchor":"answer"}]},"order":2,"title":"Calculate James's share","description":"James corresponds to the 3 in the ratio, so multiply one part by 3."}]}],"generatedAt":"2026-07-21T04:00:17.053Z","modelVersion":"gpt-5.6-terra","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":{"percent":61,"sampleSize":54}},{"id":"93a263f8-4489-4a54-8ebc-c7a4cef0060a","revisionId":"d16086eb-935b-4a18-9fde-053897247b85","questionNumber":"5","questionType":"LA","specification":"","difficulty":2,"difficultyBand":null,"totalMarks":3,"sourceTitle":"Ratio","calculatorUse":null,"parts":[{"id":"755580cc-a7c7-49d9-a38c-2c783eb08d16","label":"0","content":"Jerry and Mick share some money in the ratio 2 : 3\nMick gets £900\n\nWork out how much money Jerry gets.","markscheme":"- Value of one part: $900 \\div 3 = 300$ M1\n- Jerry's share: $2 \\times 300 = 600$ M1\n- Final answer: £600 A1","marks":3,"order":0,"markingRubric":{"totalMarks":3,"points":[{"id":"p1","marks":1,"description":"Divides Mick's amount by his ratio share (3) to find the value of one part.","code":"M"},{"id":"p2","marks":1,"description":"Multiplies the part value by Jerry's ratio share (2).","code":"M"},{"id":"p3","marks":1,"description":"Final answer of £600.","code":"A"}],"finalAnswers":["600"],"generatedAt":"2026-05-07T01:45:21.089Z","modelVersion":"gemini-3-flash-preview"},"explanation":{

Ratio Questions

Ratio Questions

Ratio Questions

Ratio Questions