ram**. Write **parallelogram** to earn the **B1 mark**."}]}],"generatedAt":"2026-07-19T07:17:55.288Z","modelVersion":"gpt-5.6-sol","explanationVersion":"v3"},"options":[]},{"id":"ae330f04-a495-4665-964b-cf04bbd24449","label":"c","content":"Find the area of shape **Q**.","markscheme":"- Applies area of a parallelogram formula: $\\text{base} \\times \\text{height} = 3 \\times 5$ M1\n- Final answer: $15$ A1","marks":2,"order":2,"markingRubric":{"totalMarks":1,"points":[{"id":"p1","marks":1,"description":"Correctly calculates the area of parallelogram Q as 15.","code":"B"}],"finalAnswers":["15"],"generatedAt":"2026-05-05T10:18:42.063Z","modelVersion":"gemini-3-flash-preview"},"explanation":{"methods":[{"id":"parallelogram_area","label":"Base times perpendicular height","steps":[{"type":"text","order":0,"title":"Identify the shape","content":"Shape **Q** is a parallelogram. Its area is found using\n\n$$\\text{area}=\\text{base}\\times\\text{perpendicular height}$$\n\nThe **perpendicular height** means the straight up-and-down distance between the parallel horizontal sides, not the length of a sloping side.","highlights":[{"text":"Find the area of shape **Q**.","location":"specification"}]},{"type":"text","order":1,"title":"Read the dimensions","content":"For shape **Q**, use the base as $3\\text{ cm}$ and the perpendicular height as $5\\text{ cm}$. The perpendicular height is the shortest distance from the base to the opposite parallel side.","highlights":[{"text":"shape **Q**","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$\\text{area}=\\color{@sky}{\\htmlData{anchor=formula}{\\text{base}\\times\\text{perpendicular height}}}$"},{"latex":"$$\\text{area}=\\color{@sky}{\\htmlData{anchor=substitution}{3\\times5}}$"},{"latex":"$$\\color{@green}{\\text{area}=15\\text{ cm}^2}$"}],"highlights":[{"color":"sky","style":"text-color","anchor":"formula"},{"color":"sky","style":"text-color","anchor":"substitution"}],"connections":[{"to":"substitution","from":"formula","color":"sky","label":"substitute"}]},"order":2,"title":"Multiply base by height","description":"Substituting the base and perpendicular height as 3 × 5 earns M1. Reaching 15 cm² earns A1."}]}],"generatedAt":"2026-07-19T07:26:27.849Z","modelVersion":"gpt-5.6-sol","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":{"percent":27}},{"id":"01be8c93-1a0d-42bc-806e-03e9b874ef5f","revisionId":"0a6feaf7-2c59-488f-b50c-5fcdbd5d500c","questionNumber":null,"questionType":"LA","specification":"Here is a rectangular tile.\n\n![A rectangle with side lengths 8 cm and 5 cm.](https://assets.mathsgenie.co.uk/questions/d0ffe707-376a-446a-8b7b-62b2f5bb4c9e.png)\n\nThe six-sided shape below is made from two of these tiles.\n\n![A six-sided shape made from two 8 cm by 5 cm rectangles.](https://assets.mathsgenie.co.uk/questions/78bdd94a-1651-4553-9519-b832c3a80d1c.png)","difficulty":1,"difficultyBand":"medium","totalMarks":3,"sourceTitle":null,"calculatorUse":"non_calc","parts":[{"id":"d745dd8e-9fff-4de2-a331-25225d7b7d49","label":"a","content":"Work out the perimeter of this six-sided shape.","markscheme":"- Identifies missing vertical length: $8 - 5 = 3$ M1\n- Sums all outer sides: $8 + 5 + 8 + 5 + 8 + 3 + 5$ M1\n- Final answer: $42$ A1","marks":3,"order":0,"markingRubric":{"totalMarks":3,"points":[{"id":"p1","marks":1,"description":"Identifies the missing length by finding the difference between the long and short side ($8 - 5 = 3$).","code":"M"},{"id":"p2","marks":1,"description":"Sums all the outer side lengths of the composite shape ($8 + 13 + 5 + 8 + 3 + 5$ or equivalent).","code":"M"},{"id":"p3","marks":1,"description":"Provides the correct final perimeter of 42 cm.","code":"A"}],"finalAnswers":["42"],"generatedAt":"2026-05-06T13:59:18.855Z","modelVersion":"gemini-3-flash-preview"},"explanation":{"methods":[{"id":"trace_outer_edges","label":"Trace the outer edges","steps":[{"type":"text","order":0,"title":"Find the missing side","con

Area and Perimeter

Question 2

Area and Perimeter Questions

Area and Perimeter

Question 2

Area and Perimeter Questions