":"/gcse/maths/wjec/grade-2-2-1-calculation-problems/questions","formulaUrl":null,"initialIndex":46,"initialQuestionWindow":[{"id":"f2fa9e41-ae7b-4ce9-8407-ae43450a5240","revisionId":"3d2c9e51-9968-42fc-9fff-58bd2c09092a","questionNumber":"4","questionType":"LA","specification":"Mr Blair buys 30 pens, 30 rulers, 30 pencils and 30 calculators.\n\n### Price List\n\n| Item | Price |\n| :--- | :--- |\n| Pens | 5 for 85p |\n| Rulers | 10 for £2.64 |\n| Pencils | 6 for 52p |\n| Calculators | £6.25 each |","difficulty":1,"difficultyBand":"medium","totalMarks":5,"sourceTitle":"Calculation Problems","calculatorUse":"calc","parts":[{"id":"16a18379-d591-4512-8f51-599a4bf09667","label":"0","content":"What is the total amount of money Mr Blair spends?","markscheme":"- Pens: $(30 \\div 5) \\times 0.85 = 5.10$ M1\n- Rulers: $(30 \\div 10) \\times 2.64 = 7.92$ M1\n- Pencils: $(30 \\div 6) \\times 0.52 = 2.60$ M1\n- Calculators: $30 \\times 6.25 = 187.50$ M1\n- Total: $5.10 + 7.92 + 2.60 + 187.50 = 203.12$ A1","marks":5,"order":0,"markingRubric":{"totalMarks":5,"points":[{"id":"p1","marks":1,"description":"Calculates cost of pens ($£5.10$).","code":"M"},{"id":"p2","marks":1,"description":"Calculates cost of rulers ($£7.92$).","code":"M"},{"id":"p3","marks":1,"description":"Calculates cost of pencils ($£2.60$).","code":"M"},{"id":"p4","marks":1,"description":"Calculates cost of calculators ($£187.50$).","code":"M"},{"id":"p5","marks":1,"description":"Final answer of $£203.12$.","code":"A"}],"finalAnswers":["203.12"],"generatedAt":"2026-05-05T10:19:59.179Z","modelVersion":"gemini-3-flash-preview"},"explanation":{"methods":[{"id":"cost_each_item","label":"Find each item cost","steps":[{"type":"text","order":0,"title":"Use pounds throughout","content":"Convert the prices in pence to pounds before calculating: $85\\text{p}=£0.85$ and $52\\text{p}=£0.52$. Keeping every price in the same unit makes the final addition valid.","highlights":[{"text":"| Pens | 5 for 85p |","location":"specification"},{"text":"| Pencils | 6 for 52p |","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$\\text{Packs}=30\\div 5=\\htmlData{anchor=pen_packs_1}{\\color{@sky}{6}}$"},{"latex":"$$\\text{Cost}=£0.85\\times \\htmlData{anchor=pen_packs_2}{\\color{@sky}{6}}=\\htmlData{anchor=pen_cost}{\\color{@green}{£5.10}}$"}],"highlights":[{"color":"sky","style":"text-color","anchor":"pen_packs_1"},{"color":"sky","style":"text-color","anchor":"pen_packs_2"},{"color":"green","style":"text-color-with-background","anchor":"pen_cost"}]},"order":1,"title":"Calculate the pens","description":"First find how many packs of pens are needed, then multiply by the price per pack. This correct calculation earns the first M1."},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$\\text{Packs}=30\\div 10=\\htmlData{anchor=ruler_packs_1}{\\color{@sky}{3}}$"},{"latex":"$$\\text{Cost}=£2.64\\times \\htmlData{anchor=ruler_packs_2}{\\color{@sky}{3}}=\\htmlData{anchor=ruler_cost}{\\color{@green}{£7.92}}$"}],"highlights":[{"color":"sky","style":"text-color","anchor":"ruler_packs_1"},{"color":"sky","style":"text-color","anchor":"ruler_packs_2"},{"color":"green","style":"text-color-with-background","anchor":"ruler_cost"}]},"order":2,"title":"Calculate the rulers","description":"Divide by the number of rulers in each pack, then multiply by the pack price. This earns the second M1."},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$\\text{Packs}=30\\div 6=\\htmlData{anchor=pencil_packs_1}{\\color{@sky}{5}}$"},{"latex":"$$\\text{Cost}=£0.52\\times \\htmlData{anchor=pencil_packs_2}{\\color{@sky}{5}}=\\htmlData{anchor=pencil_cost}{\\color{@green}{£2.60}}$"}],"highlights":[{"color":"sky","style":"text-color","anchor":"pencil_packs_1"},{"color":"sky","style":"text-color","anchor":"pencil_packs_2"},{"color":"green","style":"text-color-with-background","anchor":"pencil_cost"}]},"order":3,"title":"Calculate the pencils","description":"Again, find the number of packs before using the pack

Calculation Problems

Question 45

Calculation Problems Questions

Calculation Problems

Question 45

Calculation Problems Questions