M1\n- Multiplies circumference by cost: $100.53 \\times 15.95$ M1\n- Final answer: $1603.47$ A1","marks":3,"order":0,"markingRubric":{"totalMarks":3,"points":[{"id":"p1","marks":1,"description":"Calculates the circumference of the field ($32\\pi$).","code":"M"},{"id":"p2","marks":1,"description":"Multiplies their circumference by $15.95$.","code":"M"},{"id":"p3","marks":1,"description":"Final answer of $1603.47$.","code":"A"}],"finalAnswers":["1603.47"],"generatedAt":"2026-05-06T15:42:53.139Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null,"walkthroughVideo":null},{"id":"07e91574-8890-458c-aa89-0f8d9c4a675f","revisionId":"a0e22422-76cf-45d2-abd9-733ac9de87bb","questionNumber":"9","questionType":"LA","specification":"","difficulty":3,"difficultyBand":null,"totalMarks":5,"sourceTitle":"Area and Circumference of Circles","calculatorUse":null,"isCalculation":true,"parts":[{"id":"4ac14a43-7832-4bd7-9f03-8edb8ffa79cd","label":"0","content":"An area is formed by a square, $ABCD$, and a semi circle.\n$BD$ is the diameter of the semi circle.\n\n![A diagram showing a square ABCD with a semi-circle attached to its right side.](https://assets.mathsgenie.co.uk/question-image-redraws/sol-max-v1/07e91574-8890-458c-aa89-0f8d9c4a675f/image-1-b96ba2e834d1d35a266346ec.svg)\n\nThe radius of the semi circle is 4m.\n\nThe area is going to be covered completely with lawn seed.\n\nA box of lawn seed covers $25 \\text{ m}^2$.\n\nHow many boxes of lawn seed will be needed?\nYou must show your working.","markscheme":"- Calculates area of square: $8 \\times 8 = 64$ M1\n- Calculates area of semi-circle: $\\frac{\\pi \\times 4^2}{2} = 8\\pi \\approx 25.13$ M1\n- Total area: $64 + 25.13 = 89.13$ M1\n- Calculates boxes: $89.13 \\div 25 = 3.56...$ M1\n- Rounds up to 4 boxes A1","marks":5,"order":0,"markingRubric":{"totalMarks":5,"points":[{"id":"p1","marks":1,"description":"Calculates the area of the square as $64$.","code":"M"},{"id":"p2","marks":1,"description":"Calculates the area of the semi-circle as $8\\pi$ or $\\approx 25.1$.","code":"M"},{"id":"p3","marks":1,"description":"Finds the total area $\\approx 89.1$.","code":"M"},{"id":"p4","marks":1,"description":"Divides total area by $25$.","code":"M"},{"id":"p5","marks":1,"description":"Concludes $4$ boxes are needed.","code":"A"}],"finalAnswers":["4"],"generatedAt":"2026-05-06T15:42:53.139Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null,"walkthroughVideo":null},{"id":"91416c96-de74-4db1-9a09-a0787a2fb2c7","revisionId":"d927c0d9-671b-4237-b800-80bfa608535e","questionNumber":"10","questionType":"LA","specification":"","difficulty":3,"difficultyBand":null,"totalMarks":3,"sourceTitle":"Area and Circumference of Circles","calculatorUse":null,"isCalculation":true,"parts":[{"id":"e5ed7bcb-cdb2-44e1-a744-e0fa19b0c24c","label":"0","content":"The diagram shows a shaded ring formed by cutting a smaller circle out of a larger circle.\n\nThe radius of the smaller circle is 6 cm.\nThe diameter of the larger circle is 15 cm.\n\nFind the area of the shaded ring.\n\n![A shaded ring (annulus) formed by two concentric circles.](https://assets.mathsgenie.co.uk/question-image-redraws/sol-max-v1/91416c96-de74-4db1-9a09-a0787a2fb2c7/image-1-d90a0fb45bd4ac45c870cf2d.svg)","markscheme":"- Finds radius of larger circle: $15 \\div 2 = 7.5$ M1\n- Subtracts areas: $\\pi(7.5)^2 - \\pi(6)^2$ M1\n- Final answer: $20.25\\pi$ or $63.6$ A1","marks":3,"order":0,"markingRubric":{"totalMarks":3,"points":[{"id":"p1","marks":1,"description":"Identifies the outer radius as $7.5$.","code":"M"},{"id":"p2","marks":1,"description":"Subtracts the area of the small circle from the large circle.","code":"M"},{"id":"p3","marks":1,"description":"Final answer of $20.25\\pi$ o

Area and Circumference of Circles

Question 9

Area and Circumference of Circles Questions

Area and Circumference of Circles

Question 9

Area and Circumference of Circles Questions