ultyBand":"hard","totalMarks":2,"sourceTitle":"Speed and Density","calculatorUse":"non_calc","parts":[{"id":"d822dbcf-dba8-4c66-bd20-1927603ea2c2","label":"0","content":"A rock has a mass of 56 grams and a density of $3.5 \\text{ grams/cm}^3$. \nWork out the volume of the rock.","markscheme":"- $\\text{volume} = \\frac{\\text{mass}}{\\text{density}}$\n- $\\frac{56}{3.5} = 16$ M1\n- Final answer 16 cm$^3$ A1","marks":2,"order":0,"markingRubric":{"totalMarks":1,"points":[{"id":"p1","marks":1,"description":"Calculates volume as mass divided by density to get 16.","code":"B"}],"finalAnswers":["16"],"generatedAt":"2026-05-06T11:04:45.958Z","modelVersion":"gemini-3-flash-preview"},"explanation":{"methods":[{"id":"use_density_formula","label":"Use the density formula","steps":[{"type":"text","order":0,"title":"Choose the formula","content":"Density means mass per unit volume. Rearranging the density relationship gives\n\n$$\\text{volume}=\\frac{\\text{mass}}{\\text{density}}$$\n\nThis is the formula needed because the question gives the rock's mass and density.","highlights":[{"text":"a mass of 56 grams and a density of $3.5 \\text{ grams/cm}^3$","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$\\text{volume}=\\color{@sky}{\\htmlData{anchor=symbolic_fraction}{\\dfrac{\\text{mass}}{\\text{density}}}}$"},{"latex":"$$\\text{volume}=\\qquad\\qquad\\qquad\\color{@sky}{\\htmlData{anchor=numerical_fraction}{\\dfrac{56}{3.5}}}$"},{"latex":"$$\\text{volume}=\\qquad\\qquad\\qquad\\color{@green}{\\htmlData{anchor=result}{16}}$"}],"highlights":[{"color":"sky","style":"text-color-with-background","anchor":"symbolic_fraction"},{"color":"sky","style":"text-color-with-background","anchor":"numerical_fraction"},{"color":"green","style":"text-color-with-background","anchor":"result"}],"connections":[{"to":"numerical_fraction","from":"symbolic_fraction","color":"sky","label":"substitute"},{"to":"result","from":"numerical_fraction","color":"green","label":"divide"}]},"order":1,"title":"Substitute and divide","description":"Put the given mass and density into the formula. Setting up this division correctly earns the method mark (M1)."},{"type":"text","order":2,"title":"State the answer","content":"Include the correct volume unit. The density is measured per cubic centimetre, so\n\n$$\\boxed{16\\text{ cm}^3}$$\n\nThe correct value with the correct unit earns the accuracy mark (A1)."}]}],"generatedAt":"2026-07-19T07:43:30.601Z","modelVersion":"gpt-5.6-sol","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null},{"id":"c3d92b4d-868e-42f4-a46b-34ac4339021c","revisionId":"e95ffabc-61ee-4f62-a175-4fb629bccc18","questionNumber":"5","questionType":"LA","specification":"","difficulty":2,"difficultyBand":"hard","totalMarks":3,"sourceTitle":"Speed and Density","calculatorUse":"calc","parts":[{"id":"3ed873f9-bfbd-49fe-afd2-c6dad494c3e7","label":"0","content":"A car travels a distance of 230 miles in 4 hours and 15 minutes. \nWork out the average speed of the car, in miles per hour. \nGive your answer to 1 decimal place.","markscheme":"- Converts 4 hours 15 minutes to 4.25 hours M1\n- $\\text{speed} = \\frac{230}{4.25} = 54.117...$ M1\n- Final answer 54.1 mph A1","marks":3,"order":0,"markingRubric":{"totalMarks":2,"points":[{"id":"p1","marks":1,"description":"Converts time to decimal hours (4.25) or minutes (255).","code":"M"},{"id":"p2","marks":1,"description":"Calculates speed and rounds to 54.1.","code":"A"}],"finalAnswers":["54.1"],"generatedAt":"2026-05-06T11:04:45.958Z","modelVersion":"gemini-3-flash-preview"},"explanation":{"methods":[{"id":"convert_then_divide","label":"Convert time then divide","steps":[{"type":"hyper_latex","block":{"nodes":[{"latex":"$$15\\text{ minutes}=\\color{@sky}{\\htmlData{anchor=minutes_as_hours}{\\frac{15}{60}\\text{ hours}}}$"},{"latex":"$$15\\text{ minutes}=\\color{@sky}{\\htmlData{anchor=decimal_hours}{0.25\\text{ hours}}}$"},{"latex":"$$4\\text{ hours }15\\text{ min

Speed and Density

Question 26

Speed and Density Questions

Speed and Density

Question 26

Speed and Density Questions