9-4d6b-9770-9fd1f6f93952","questionNumber":"8","questionType":"LA","specification":"","difficulty":2,"difficultyBand":"hard","totalMarks":4,"sourceTitle":"Quadratic Inequalities","calculatorUse":null,"parts":[{"id":"af35a458-7d96-4bf3-b9f9-cc38dd7511c2","label":"0","content":"Solve $x^2 - 49 > 0$","markscheme":"- Factorises using difference of two squares: $(x+7)(x-7) > 0$ M1\n- Identifies critical values: $x = -7$ and $x = 7$ M1\n- States correct inequality: $x < -7$ or $x > 7$ A2","marks":4,"order":0,"markingRubric":{"totalMarks":4,"points":[{"id":"p1","marks":1,"description":"Factorises the expression into $(x+7)(x-7)$.","code":"M"},{"id":"p2","marks":1,"description":"Identifies the critical values as $-7$ and $7$.","code":"M"},{"id":"p3","marks":2,"description":"Gives the final answer as $x < -7$ or $x > 7$.","code":"A"}],"finalAnswers":["x < -7 or x > 7"],"generatedAt":"2026-08-10T10:26:15.961Z","modelVersion":"gemini-3-flash-preview"},"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null},{"id":"25c9aabf-a295-4afb-8d8a-5b52574049a9","revisionId":"14f3c1a7-08b3-42e9-af35-aaad07718731","questionNumber":"9","questionType":"LA","specification":"","difficulty":2,"difficultyBand":"hard","totalMarks":4,"sourceTitle":"Quadratic Inequalities","calculatorUse":null,"parts":[{"id":"db0cc3b8-1717-433e-a803-5578cbb6e463","label":"0","content":"Solve $x^2 > 8x + 9$","markscheme":"- Rearranges to $x^2 - 8x - 9 > 0$ M1\n- Factorises the quadratic: $(x - 9)(x + 1) > 0$ M1\n- Identifies critical values: $x = 9$ and $x = -1$ M1\n- States correct inequality: $x < -1$ or $x > 9$ A1","marks":4,"order":0,"markingRubric":{"totalMarks":4,"points":[{"id":"p1","marks":1,"description":"Rearranges the inequality to $x^2 - 8x - 9 > 0$.","code":"M"},{"id":"p2","marks":1,"description":"Factorises the quadratic expression into $(x-9)(x+1)$.","code":"M"},{"id":"p3","marks":1,"description":"Identifies the critical values as $9$ and $-1$.","code":"M"},{"id":"p4","marks":1,"description":"Gives the final answer as $x < -1$ or $x > 9$.","code":"A"}],"finalAnswers":["x < -1 or x > 9"],"generatedAt":"2026-08-10T10:26:15.961Z","modelVersion":"gemini-3-flash-preview"},"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null},{"id":"a996b43a-083b-49fc-bcde-102a4da796a8","revisionId":"f4f3385f-a740-4e67-adc0-a251f26598f1","questionNumber":"10","questionType":"LA","specification":"","difficulty":2,"difficultyBand":"hard","totalMarks":4,"sourceTitle":"Quadratic Inequalities","calculatorUse":null,"parts":[{"id":"409895ef-8d2f-453d-92ab-172254debfe8","label":"0","content":"Solve $6x^2 + 11x - 10 < 0$","markscheme":"- Factorises the quadratic: $(3x - 2)(2x + 5) < 0$ M2\n- Identifies critical values: $x = 2/3$ and $x = -2.5$ M1\n- States correct inequality: $-2.5 < x < 2/3$ A1","marks":4,"order":0,"markingRubric":{"totalMarks":4,"points":[{"id":"p1","marks":2,"description":"Factorises the quadratic expression into $(3x-2)(2x+5)$.","code":"M"},{"id":"p2","marks":1,"description":"Identifies the critical values as $2/3$ and $-2.5$.","code":"M"},{"id":"p3","marks":1,"description":"Gives the final answer as $-2.5 < x < 2/3$.","code":"A"}],"finalAnswers":["-2.5 < x < 2/3"],"generatedAt":"2026-08-10T10:26:15.961Z","modelVersion":"gemini-3-flash-preview"},"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null}],"initialQuestions":null,"initialView":"runner","intro":"$L3e","subjectCode":"gcse_maths","summaries":[{"id":"fc3aa417-4bcf-44e4-8ec3-2f239ef63a3a","difficultyBand":"hard","calculatorUse":null},{"id":"061c58ee-41ed-4950-85b2-d8dd2ceb52f7","difficultyBand":"hard","calculatorUse":null},{"id":"07242bfc-6245-4217-9291-c9e0761c355c","difficultyBand":"hard","calculatorUse":null},{"id":"229d7324-23a9-4f66-a6be-b17f400cbe4c","difficultyBand":"hard","calculatorUse":null},{"id":"2ac31615-8ec8-4d9b-a8c6-ce4dfbe21f4

Quadratic Inequalities Questions

Quadratic Inequalities Questions

Quadratic Inequalities Questions

Quadratic Inequalities Questions