Title":null,"calculatorUse":"non_calc","parts":[{"id":"a8018f76-916a-4883-b83b-b89121968302","label":"a","content":"Does Leo have enough money to buy 20 paintbrushes and 20 tubes of paint? You must show how you get your answer.","markscheme":"- Cost of 20 paintbrushes: $(20 \\div 4) \\times 8.60 = 43$ M1\n- Cost of 20 tubes of paint: $(20 \\div 2) \\times 5.10 = 51$ M1\n- Total cost: $43 + 51 = 94$ M1\n- Conclusion: Yes, $94 < 100$ A1","marks":4,"order":0,"markingRubric":{"totalMarks":4,"points":[{"id":"p1","marks":1,"description":"Calculate the cost of 20 paintbrushes by scaling or finding the unit price.","code":"M"},{"id":"p2","marks":1,"description":"Calculate the cost of 20 tubes of paint by scaling or finding the unit price.","code":"M"},{"id":"p3","marks":1,"description":"Add the two calculated costs together to find the total expenditure.","code":"M"},{"id":"p4","marks":1,"description":"Provide a correct conclusion (Yes) based on comparing their total cost to £100.","code":"A"}],"finalAnswers":["Yes"],"generatedAt":"2026-05-06T13:58:55.210Z","modelVersion":"gemini-3-flash-preview"},"explanation":{"methods":[{"id":"scale_costs","label":"Scale each cost","steps":[{"type":"hyper_latex","block":{"nodes":[{"latex":"$$20 \\div 4 = \\htmlData{anchor=groups}{\\color{@sky}{5}}$"},{"latex":"$$\\htmlData{anchor=use_groups}{\\color{@sky}{5}} \\times £8.60 = \\htmlData{anchor=brush_cost}{\\color{@green}{£43}}$"}],"highlights":[{"color":"sky","style":"text-color","anchor":"groups"},{"color":"sky","style":"text-color","anchor":"use_groups"},{"color":"green","style":"text-color","anchor":"brush_cost"}]},"order":0,"title":"Cost the paintbrushes","description":"There are five groups of four paintbrushes in twenty. Multiply the number of groups by the cost of one group to earn the first M1 mark."},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$20 \\div 2 = \\htmlData{anchor=groups}{\\color{@sky}{10}}$"},{"latex":"$$\\htmlData{anchor=use_groups}{\\color{@sky}{10}} \\times £5.10 = \\htmlData{anchor=tube_cost}{\\color{@green}{£51}}$"}],"highlights":[{"color":"sky","style":"text-color","anchor":"groups"},{"color":"sky","style":"text-color","anchor":"use_groups"},{"color":"green","style":"text-color","anchor":"tube_cost"}]},"order":1,"title":"Cost tubes of paint","description":"There are ten groups of two tubes of paint in twenty. Multiply the number of groups by the cost of one group to earn the second M1 mark."},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$\\htmlData{anchor=separate_costs}{\\color{@sky}{£43+£51}}$"},{"latex":"$$\\htmlData{anchor=total_calculation}{\\color{@green}{£43+£51=£94}}$"}],"highlights":[{"color":"sky","style":"text-color","anchor":"separate_costs"},{"color":"green","style":"text-color-with-background","anchor":"total_calculation"}],"connections":[{"to":"total_calculation","from":"separate_costs","color":"green","label":"calculate the total"}]},"order":2,"title":"Find the total cost","description":"Add the two separate costs. Writing the complete addition earns the third M1 mark."},{"type":"text","order":3,"title":"Compare with £100","content":"Leo has enough money because the total cost is less than his budget: $£94<£100$. Therefore, **yes**, he can buy everything. This comparison and clear conclusion earn the final A1 mark.","highlights":[{"text":"He only has £100.","location":"specification"}]}]}],"generatedAt":"2026-07-20T10:37:19.512Z","modelVersion":"gpt-5.6-sol","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null},{"id":"f6090a9a-6efc-4a7a-91c9-e8731d89ea66","revisionId":"e7747b64-9b04-480d-9de0-31994562d655","questionNumber":null,"questionType":"LA","specification":"James wants to buy 9 packs of pencils.\n\nEach pack of pencils costs 55p.\n\nJames pays with a £10 note.","difficulty":1,"difficultyBand":"medium","totalMarks":3,"sourceTitle":null,"calculatorUse":"non_calc","parts":[{"id":"93850b48-8663-4f33-8641-1262a5e050b8","label":"a","content":"Work out how much chan

Calculation Problems

Question 42

Calculation Problems Questions

Calculation Problems

Question 42

Calculation Problems Questions