GCSE Maths Grade 7–9: 15 Hard Exam Questions with Full Worked Solutions

Prepare for GCSE Maths with 15 challenging Grade 7–9 questions explained through clear diagrams, strategic approaches and detailed worked solutions. This Higher Maths revision video focuses on understanding how to approach unfamiliar exam questions, selecting the correct method, avoiding common mistakes and presenting complete mathematical working. Each question begins with a structured strategy before moving into the full solution. 00:00 Intro 00:04 Question 1: Bounds and Volume 02:08 Question 2: Transforming a Quadratic 04:15 Question 3: Vector Proof 06:21 Question 4: Non-Right Triangle Trigonometry 08:34 Question 5: Conditional Probability 10:38 Question 6: Circle Theorems and Sine Rule 12:44 Question 7: Quadratic and Linear Graph Intersections 14:40 Question 8: Similar Solids and Frustum Volume 16:38 Question 9: Cumulative Frequency and Interquartile Range 18:50 Question 10: Histogram and Frequency Density 20:58 Question 11: Algebraic Fractions 22:52 Question 12: Recurring Decimals as Fractions 24:53 Question 13: Loci and Exact Intersection 27:15 Question 14: Bearings and Vector Displacement 29:23 Question 15: Iteration and Convergence 31:42 Outro 📚 Topics covered: Bounds and cylinder volume Quadratic transformations and graphs Vector proofs Non-right-angled trigonometry Conditional probability Circle theorems and the sine rule Graph intersections Similar solids and frustums Cumulative frequency and histograms Algebraic fractions Recurring decimals Loci and constructions Bearings and displacement Iteration and convergence ✅ Suitable for: GCSE Maths Higher Tier Grades 7, 8 and 9 revision AQA, Edexcel, OCR and Eduqas students Mock exam and final exam preparation Students developing problem-solving and reasoning skills These are original GCSE-style practice questions designed to strengthen AO2 reasoning and AO3 problem-solving skills. Pause before each solution, attempt the question independently, then compare your method with the detailed explanation. Subscribe to GCSE Prep for more visual GCSE Maths lessons, exam-style questions and complete worked solutions. #gcsemaths #gcsemathsrevision #gcsemathshigher #grade9maths #gcse2026 #mathsrevision #highermaths #aqamaths #edexcelmaths #ocrmaths #eduqasmaths #gcseprep