":"/gcse/maths/wjec/grade-2-2-1-calculation-problems/questions","formulaUrl":null,"initialIndex":50,"initialQuestionWindow":[{"id":"ee2a013d-5193-4e38-998c-0f9a4763fe3c","revisionId":"b1c2d9da-d260-40e8-bf9d-8a95c85ecfc0","questionNumber":"8","questionType":"LA","specification":"2 calculators cost £10.40\n3 pens cost £3.54\n\nJude wants to buy 30 calculators and 30 pens. He only has £200.","difficulty":1,"difficultyBand":"medium","totalMarks":4,"sourceTitle":"Calculation Problems","calculatorUse":"non_calc","parts":[{"id":"77a0d106-42f8-486f-83ab-616297cfb523","label":"0","content":"Does Jude have enough money to buy 30 calculators and 30 pens? You must show how you get your answer.","markscheme":"- Cost of 30 calculators: $(30 \\div 2) \\times 10.40 = 156$ M1\n- Cost of 30 pens: $(30 \\div 3) \\times 3.54 = 35.40$ M1\n- Total cost: $156 + 35.40 = 191.40$ M1\n- Conclusion: Yes, $191.40 < 200$ A1","marks":4,"order":0,"markingRubric":{"totalMarks":4,"points":[{"id":"p1","marks":1,"description":"Calculates the cost of 30 calculators ($£156$).","code":"M"},{"id":"p2","marks":1,"description":"Calculates the cost of 30 pens ($£35.40$).","code":"M"},{"id":"p3","marks":1,"description":"Calculates the total cost ($£191.40$).","code":"M"},{"id":"p4","marks":1,"description":"Concludes 'Yes' with supporting evidence that $191.40 < 200$.","code":"A"}],"finalAnswers":["Yes"],"generatedAt":"2026-05-05T10:19:59.179Z","modelVersion":"gemini-3-flash-preview"},"explanation":{"methods":[{"id":"scale_each_cost","label":"Scale each cost","steps":[{"type":"hyper_latex","block":{"nodes":[{"latex":"$$30 \\div 2 = \\color{@sky}{\\htmlData{anchor=calc_groups}{15}}$"},{"latex":"$$\\color{@sky}{\\htmlData{anchor=calc_cost}{15}} \\times 10.40 = 156$"}],"highlights":[{"color":"sky","style":"text-color","anchor":"calc_groups"},{"color":"sky","style":"text-color","anchor":"calc_cost"}]},"order":0,"title":"Cost the calculators","description":"First find how many groups of two are needed, then multiply by the cost of each group. This earns the first M1 mark."},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$30 \\div 3 = \\color{@orange}{\\htmlData{anchor=pen_groups}{10}}$"},{"latex":"$$\\color{@orange}{\\htmlData{anchor=pen_cost}{10}} \\times 3.54 = 35.40$"}],"highlights":[{"color":"orange","style":"text-color","anchor":"pen_groups"},{"color":"orange","style":"text-color","anchor":"pen_cost"}]},"order":1,"title":"Cost the pens","description":"First find how many groups of three are needed, then multiply by the cost of each group. This earns the second M1 mark."},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$T=156+35.40$"},{"latex":"$$T=\\color{@green}{\\htmlData{anchor=total}{191.40}}$"}],"highlights":[{"color":"green","style":"text-color-with-background","anchor":"total"}]},"order":2,"title":"Add both costs","description":"Add the calculator cost and pen cost. The correct total earns the third M1 mark."},{"type":"text","order":3,"title":"Compare with his money","content":"The total cost is $£191.40$. Since $£191.40 < £200$, **yes, Jude has enough money**. This comparison and conclusion earn the A1 mark.","highlights":[{"text":"He only has £200.","location":"specification"},{"text":"Does Jude have enough money to buy 30 calculators and 30 pens?","location":"specification"}]}]}],"generatedAt":"2026-07-19T07:37:03.777Z","modelVersion":"gpt-5.6-sol","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":{"methods":[{"id":"77a0d106-42f8-486f-83ab-616297cfb523:scale_total_costs","label":"Scale Given Costs","steps":[{"type":"text","order":0,"title":"Identify bundle prices","content":"We are given prices for small bundles, so we can scale each bundle up to $30$ items.","highlights":[{"text":"2 calculators cost £10.40","location":"specification"},{"text":"3 pens cost £3.54","location":"specification"}]},{"type":"text","order":1,"title":"Scale calculators","content":"To get from $2$ calculators to $30$ calculators, multiply by:\n\n$$30 \\div 2 = 15$$\n\nSo multiply the

Calculation Problems

Question 49

Calculation Problems Questions

Calculation Problems

Question 49

Calculation Problems Questions