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m}$"],"generatedAt":"2026-09-22T15:37:57.428Z","modelVersion":"gpt-5.6-sol"},"tableImages":[],"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null,"walkthroughVideo":null},{"id":"5e7b5350-5f43-418d-a3a6-500b3d92b4ac","revisionId":"e88780ae-ce50-4e3f-a1b7-bc77e46ff95a","questionNumber":null,"questionType":"LA","specification":"","difficulty":1,"difficultyBand":"medium","tier":null,"totalMarks":4,"sourceTitle":null,"calculatorUse":null,"isCalculation":true,"parts":[{"id":"5d22a65b-b237-4da0-a7b3-4a82e5f65f48","label":null,"content":"A ladder reaches 1.6 m up a vertical wall. \nThe base of the ladder is 60 cm from the base of the wall on a horizontal ground.\n\nFind the length of the ladder.","markscheme":"- Converts units to be consistent (e.g., 1.6 m to 160 cm or 60 cm to 0.6 m) B1\n- Applies Pythagoras: $160^2+60^2=L^2$ M1\n- $L^2=25600+3600=29200$ M1\n- $L=\\sqrt{29200}\\approx170\\text{ cm}$ or $1.7\\text{ m}$ A1","marks":4,"order":0,"markingRubric":{"totalMarks":4,"points":[{"id":"p1","marks":1,"description":"Converts units to be consistent.","code":"B","acceptable":["$$1.6\\text{ m}=160\\text{ cm}$","$$60\\text{ cm}=0.6\\text{ m}$"]},{"id":"p2","marks":1,"description":"Applies Pythagoras using consistent units.","code":"M","acceptable":["$$160^2+60^2=L^2$","$$1.6^2+0.6^2=L^2$"]},{"id":"p3","marks":1,"description":"Correctly evaluates the sum of the squares.","code":"M","acceptable":["$$L^2=25600+3600=29200$","$$L^2=2.56+0.36=2.92$"]},{"id":"p4","marks":1,"description":"Finds the length of the ladder.","code":"A","acceptable":["$$L=\\sqrt{29200}\\approx170\\text{ cm}$","$$L=\\sqrt{2.92}\\approx1.7\\text{ m}$"]}],"finalAnswers":["$$1.7$ m"],"generatedAt":"2026-09-22T15:37:57.693Z","modelVersion":"gpt-5.6-sol"},"tableImages":[],"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null,"walkthroughVideo":null},{"id":"b8f1c698-606f-4ae9-aa4d-1e6d35d5cb0c","revisionId":"7b5da242-b1af-47c9-9ac1-313b6e508b81","questionNumber":null,"questionType":"LA","specification":"","difficulty":1,"difficultyBand":"medium","tier":null,"totalMarks":3,"sourceTitle":null,"calculatorUse":null,"isCalculation":true,"parts":[{"id":"eb934e25-b596-4c3b-b993-76c529aadac4","label":null,"content":"A ship leaves point A and sails for 2.1 km due North. \nThe ship then sails for 2.8 km due East to reach point B.\n\nCalculate the shortest distance between point A and point B. \nGive your answer correct to 1 decimal place.","markscheme":"- Applies Pythagoras: $2.1^2 + 2.8^2 = d^2$ M1\n- $d^2 = 4.41 + 7.84 = 12.25$ M1\n- $d = \\sqrt{12.25} = 3.5$ A1","marks":3,"order":0,"markingRubric":{"totalMarks":3,"points":[{"id":"p1","marks":1,"description":"Applies Pythagoras to the two perpendicular distances.","code":"M","acceptable":["Applies Pythagoras: $2.1^2 + 2.8^2 = d^2$","$$d^2 = 2.1^2 + 2.8^2$"]},{"id":"p2","marks":1,"description":"Correctly evaluates and adds the squares.","code":"M","acceptable":["$$d^2 = 4.41 + 7.84 = 12.25$","$$d^2 = 12.25$"]},{"id":"p3","marks":1,"description":"Finds the shortest distance and gives it correct to 1 decimal place.","code":"A","acceptable":["$$d = \\sqrt{12.25} = 3.5$","$$3.5$","$$3.5\\text{ km}$"]}],"finalAnswers":["3.5 km"],"generatedAt":"2026-09-22T15:34:40.496Z","modelVersion":"gpt-5.6-sol"},"tableImages":[],"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null,"walkthroughVideo":null}],"subjectCode":"gcse_maths__ocr","summaries":[{"id":"0c776fa1-b652-4fa3-a413-27e90fd7de92","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"0eb90c30-bf48-4480-aecb-d9aa3ba97db6","difficultyBand":"hard","calculatorUse":"calc","totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"1bc2117d-6c77-4f77-ae0f-2d347b267bba","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"6ea502a7-c3b0-403c-bae3-736213ee9d2d","difficultyBand":"hard","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"6edfe765-f5c8-4f6d-bf89-f42899f49348","difficultyBand":"hard","calculatorUse":"calc","totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"70a5f944-fcb0-4829-a1b4-7f4e899f595d","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"72055b6b-1c5b-4f97-bd7a-83f3d971038c","difficultyBand":"hard","calculatorUse":"calc","totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"7508066f-5e6d-45cf-9874-f11ab5569ec9","difficultyBand":"hard","calculatorUse":"calc","totalMarks":4,"questionType":"LA","isCalculation":true},{"id":"82ed226d-6022-4947-8c2a-8c0ea3247836","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":4,"questionType":"LA","isCalculation":true},{"id":"8a2ad504-9c72-4c25-a3d0-af736455ffd9","difficultyBand":"medium","calculatorUse":"non_calc","totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"909cfeb4-f19d-4386-99e6-22dec19f3b11","difficultyBand":"hard","calculatorUse":null,"totalMarks":4,"questionType":"LA","isCalculation":true},{"id":"9269555b-ea7f-4ccf-b172-082d2496e668","difficultyBand":"hard","calculatorUse":"calc","totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"a3f8775f-b8d5-4295-97a3-9a7b6760aebc","difficultyBand":"hard","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"a77acdd7-f54a-4745-b9ee-c26cf52cc9f2","difficultyBand":"hard","calculatorUse":"calc","totalMarks":4,"questionType":"LA","isCalculation":true},{"id":"aec56d01-5018-4dc5-a9dd-75c4c665a2d0","difficultyBand":"hard","calculatorUse":"calc","totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"b01074f3-244d-4883-9a87-09ce13adbba6","difficultyBand":"hard","calculatorUse":"calc","totalMarks":4,"questionType":"LA","isCalculation":true},{"id":"d37e0969-abe5-48c9-868f-3a3da170da44","difficultyBand":"hard","calculatorUse":"calc","totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"edd2b957-09e1-44bb-b2e4-c38d6dce83ca","difficultyBand":"hard","calculatorUse":"calc","totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"b0650435-f11e-45c3-b786-b9d1c9f6db4b","difficultyBand":"hard","calculatorUse":"calc","totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"0e039239-fd96-4549-b61f-6f5bf76ab060","difficultyBand":"medium","calculatorUse":"non_calc","totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"11a07cb2-b3a0-4458-9cab-4b7d66888bec","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"1bf5bd89-d40f-4c33-930a-6e7ca0674ac0","difficultyBand":"hard","calculatorUse":"calc","totalMarks":4,"questionType":"LA","isCalculation":true},{"id":"33a642a7-c988-4d7d-aacd-3a4851e290ab","difficultyBand":"hard","calculatorUse":"calc","totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"3a3161f8-38af-4a18-bc3c-c713d735e3be","difficultyBand":"hard","calculatorUse":"calc","totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"3edaaa3c-6185-4513-9f71-753dcfafb7a1","difficultyBand":"hard","calculatorUse":"calc","totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"52f31c97-2ce9-44ca-b293-89e0739301bc","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"54489571-2af1-4bf6-9729-b5aac9dfc696","difficultyBand":"hard","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"57617327-3a4f-4fbf-9a99-eb685da45a21","difficultyBand":"hard","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"5ad35bf8-229c-419d-83dc-99ba48f5ac85","difficultyBand":"hard","calculatorUse":"calc","totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"85067d44-6f12-4347-99ec-51f7c614088a","difficultyBand":"hard","calculatorUse":"calc","totalMarks":4,"questionType":"LA","isCalculation":true},{"id":"8e28a5ae-5c2d-4aef-9574-00e1c8203199","difficultyBand":"hard","calculatorUse":"calc","totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"9b8fe975-47dd-4a0a-952a-4885a6881997","difficultyBand":"hard","calculatorUse":"calc","tot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Pythagoras

Question 8

Pythagoras Questions

Pythagoras

Question 8

Pythagoras Questions