":"more than £190","location":"specification"}]}]}],"generatedAt":"2026-07-19T01:57:18.273Z","modelVersion":"gpt-5.6-sol","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null},{"id":"e3704048-4212-48c2-9c0d-141b64c07f0a","revisionId":"f5cc8580-cc79-49c7-b7f7-be4f3ca55865","questionNumber":null,"questionType":"LA","specification":"","difficulty":1,"difficultyBand":"medium","totalMarks":3,"sourceTitle":null,"calculatorUse":"non_calc","parts":[{"id":"e54985f2-6e9e-4fc0-a35d-2b7a7af85d82","label":"a","content":"Daniel wants to buy as many stamps as he can.\n\nHe has £10 to spend on stamps.\n\nEach stamp costs £0.82.\n\nWork out how much change Daniel will get from £10.","markscheme":"- Method to find number of stamps: $10 \\div 0.82 = 12.19...$ so 12 stamps M1\n- Calculates cost of 12 stamps: $12 \\times 0.82 = 9.84$ M1\n- Calculates change: $10.00 - 9.84 = 0.16$ A1","marks":3,"order":0,"markingRubric":{"totalMarks":3,"points":[{"id":"p1","marks":1,"description":"Method to find maximum number of items (division and rounding down).","code":"M"},{"id":"p2","marks":1,"description":"Calculates the total cost of the integer number of items.","code":"M"},{"id":"p3","marks":1,"description":"Calculates the correct change by subtracting total cost from budget.","code":"A"}],"finalAnswers":["£0.16","16p"],"generatedAt":"2026-05-06T13:58:50.674Z","modelVersion":"gemini-3-flash-preview"},"explanation":{"methods":[{"id":"divide_multiply_subtract","label":"Divide, multiply, subtract","steps":[{"type":"hyper_latex","block":{"nodes":[{"latex":"$$10\\div 0.82=\\htmlData{anchor=quotient}{\\color{@sky}{12.195\\ldots}}$"},{"latex":"$$\\text{number of stamps}=\\htmlData{anchor=whole}{\\color{@green}{12}}$"}],"highlights":[{"color":"sky","style":"text-color","anchor":"quotient"},{"color":"green","style":"text-color","anchor":"whole"}],"connections":[{"to":"whole","from":"quotient","color":"green"}]},"order":1,"title":"Divide the money","description":"Divide the total money by the cost per stamp. Daniel cannot buy part of a stamp, so take the whole-number part; this earns the first method mark."},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$12\\times £0.82=£9.84$"},{"text":"The twelve stamps cost £9.84 altogether."}]},"order":2,"title":"Calculate total cost","description":"Multiply the number of stamps by the price of one stamp. This earns the second method mark."},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$£10.00-£9.84=£0.16$"},{"text":"Daniel will get £0.16 change."}]},"order":3,"title":"Subtract from £10","description":"Subtract the cost of the twelve stamps from the amount Daniel has. This earns the final accuracy mark."}]}],"generatedAt":"2026-07-20T10:34:43.824Z","modelVersion":"gpt-5.6-sol","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null},{"id":"e532f740-c813-42b3-a716-5646d52635d4","revisionId":"f158313d-21a8-4b50-8123-4a9194db9d36","questionNumber":null,"questionType":"LA","specification":"A piece of wire is 480 cm long.\n\nSarah cuts five 55 cm lengths off the wire.\n\nShe then cuts the rest into as many 30 cm lengths as possible.","difficulty":1,"difficultyBand":"medium","totalMarks":3,"sourceTitle":null,"calculatorUse":"non_calc","parts":[{"id":"509fb238-5d04-4739-b4ef-801319270b99","label":"a","content":"Work out how many 30 cm lengths of wire Sarah cuts.","markscheme":"- Length removed: $5 \\times 55 = 275$ M1\n- Remaining length: $480 - 275 = 205$ M1\n- Number of 30 cm lengths: $205 \\div 30 = 6.83...$ so 6 lengths A1","marks":3,"order":0,"markingRubric":{"totalMarks":3,"points":[{"id":"p1","marks":1,"description":"Calculates total length of initial cuts ($5 \\times 55 = 275$)","code":"M"},{"id":"p2","marks":1,"description":"Calculates remaining length of wire ($480 - 275 = 205$)","code":"M"},{"id":"p3","marks":1,"description":"Divides the remainder by 30 and correctly identifies the whole number of pieces (6)","

Calculation Problems

Question 40

Calculation Problems Questions

Calculation Problems

Question 40

Calculation Problems Questions