":"/gcse/maths/wjec/grade-2-2-1-calculation-problems/questions","formulaUrl":null,"initialIndex":51,"initialQuestionWindow":[{"id":"e6f2415e-6aed-441f-bd31-c2f68a9d010b","revisionId":"74e7b27b-b50c-472b-8b88-06db75a41565","questionNumber":"9","questionType":"LA","specification":"A piece of string is 350 cm long.\n\nJohn cuts three 40 cm lengths off the string.\n\nHe then cuts the rest into as many 35 cm lengths as possible.","difficulty":1,"difficultyBand":"medium","totalMarks":3,"sourceTitle":"Calculation Problems","calculatorUse":"non_calc","parts":[{"id":"59e243cf-d6ee-4ede-bbbe-5960f7745f6d","label":"0","content":"Work out how many 35 cm lengths of string John cuts.","markscheme":"- Length removed: $3 \\times 40 = 120$ M1\n- Remaining length: $350 - 120 = 230$ M1\n- Number of 35cm lengths: $230 \\div 35 = 6.57...$ so 6 lengths A1","marks":3,"order":0,"markingRubric":{"totalMarks":3,"points":[{"id":"p1","marks":1,"description":"Calculates the total length of the three 40cm pieces ($120$cm).","code":"M"},{"id":"p2","marks":1,"description":"Calculates the remaining length of string ($230$cm).","code":"M"},{"id":"p3","marks":1,"description":"Final answer of 6 lengths.","code":"A"}],"finalAnswers":["6"],"generatedAt":"2026-05-05T10:19:59.179Z","modelVersion":"gemini-3-flash-preview"},"explanation":{"methods":[{"id":"calculate_remaining_then_divide","label":"Find the remainder, then divide","steps":[{"type":"hyper_latex","block":{"nodes":[{"latex":"$$\\text{length removed}=\\color{@sky}{3\\times 40\\text{ cm}}$"},{"latex":"$$\\text{length removed}=\\color{@sky}{120\\text{ cm}}$"}]},"order":1,"title":"Calculate what is removed","description":"There are three equal pieces, so multiply rather than subtracting only one 40 cm length. Writing 3 × 40 = 120 cm earns the first M1 mark."},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$\\text{length remaining}=350\\text{ cm}-\\color{@orange}{120\\text{ cm}}$"},{"latex":"$$\\text{length remaining}=\\color{@green}{230\\text{ cm}}$"}]},"order":2,"title":"Find the remaining length","description":"Subtract the total removed from the original length. Writing this subtraction earns the second M1 mark."},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$\\text{number of lengths}=\\color{@sky}{230\\div 35}=6.57\\ldots$"},{"latex":"$$7\\times35\\text{ cm}=245\\text{ cm}>230\\text{ cm}$"},{"latex":"$$\\text{number of complete lengths}=\\boxed{6}$"}]},"order":3,"title":"Divide into equal lengths","description":"Only complete 35 cm lengths count. Seven would need 245 cm, which is more than the 230 cm available, so concluding that 6 complete lengths can be cut earns A1."}]}],"generatedAt":"2026-07-19T18:15:24.515Z","modelVersion":"gpt-5.6-sol","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null},{"id":"9f946459-9a83-4136-adc6-4d8e680af5a8","revisionId":"9f687435-0a85-4ee5-9700-24680e8fc15b","questionNumber":"10","questionType":"LA","specification":"Molly gets paid £9.20 for each hour she works from Monday to Friday. She gets paid £11.40 for each hour she works on Saturday.\n\nLast week Molly worked 12 hours from Monday to Friday and 4 hours on Saturday.","difficulty":1,"difficultyBand":"medium","totalMarks":3,"sourceTitle":"Calculation Problems","calculatorUse":"non_calc","parts":[{"id":"d7e9c7a1-aa55-493f-8025-ee3d0bb8a738","label":"0","content":"Show that Molly was paid more than £150 last week.","markscheme":"- Mon-Fri pay: $12 \\times 9.20 = 110.40$ M1\n- Sat pay: $4 \\times 11.40 = 45.60$ M1\n- Total pay: $110.40 + 45.60 = 156$ and conclusion $156 > 150$ A1","marks":3,"order":0,"markingRubric":{"totalMarks":3,"points":[{"id":"p1","marks":1,"description":"Calculates the pay for Monday to Friday ($£110.40$).","code":"M"},{"id":"p2","marks":1,"description":"Calculates the pay for Saturday ($£45.60$).","code":"M"},{"id":"p3","marks":1,"description":"Calculates total pay as $£156$ and provides a concluding statement comparing it to $£150$.","co

Calculation Problems

Question 50

Calculation Problems Questions

Calculation Problems

Question 50

Calculation Problems Questions