QCE Specialist Maths: 20 Exam-Style Questions Solved the Simple Way (Paper 1 + Paper 2 Practice)

Twenty QCE Specialist Mathematics exam-style questions, solved the simple way, across Paper 1 and Paper 2. Complex numbers and De Moivre, vectors, determinants, integration, differential equations and confidence intervals, each with the trap to avoid. Twenty exam-style questions with a countdown on each: pause, answer, then compare your method. The full answer key and three habits that save marks are at the end. Topics covered: • complex numbers • polar form and De Moivre's theorem • dot and cross products • integration by parts • inverse tan integrals • implicit differentiation • determinants • partial fractions • volumes of revolution • differential equations • related rates • motion • sample means and confidence intervals • roots of complex numbers • the distance from a point to a plane Three habits that save marks: • Plot a complex number before you write its polar form • Dot product for angles, cross product for a perpendicular • Divide by √n for a sample mean Chapters: 0:00 QCE Specialist Maths: 20 questions 0:17 How this video works 0:34 Q1: Squaring 1 + i 1:19 Q2: Polar form of −2i 2:07 Q3: De Moivre's theorem 2:53 Q4: Perpendicular vectors 3:44 Q5: The cross product i × j 4:31 Q6: Integration by parts 5:21 Q7: An inverse tan integral 6:09 Q8: Implicit differentiation 7:05 Q9: A 2 × 2 determinant 7:55 Q10: Partial fractions 8:47 Q11: Volume of revolution 9:42 Q12: Exponential growth DE 10:33 Q13: Related rates: a cube 11:28 Q14: Maximum acceleration 12:20 Q15: F = ma 13:14 Q16: SD of the sample mean 14:07 Q17: 95% confidence interval 15:04 Q18: Cube roots of 8 15:54 Q19: Point to plane distance 16:47 Q20: Integrate twice 17:40 Answer key + three habits 18:01 Subscribe & next video Who it's for: QCE Specialist Mathematics students preparing for the external exam (Paper 1 and Paper 2); also useful for VCE Specialist, HSC Extension 2, WACE Specialist, A-Level Further Maths and IB Maths AA HL. How to use it: keep score out of 20, write down every question you miss, and redo those in a week. All questions are original Eurekha questions written in the style of the QCE external exam. Not affiliated with or endorsed by the QCAA. ▶ Watch next: Complex Numbers Made Simple: 7 Key Ideas + 15 Practice Questions | Specialist Maths    • Complex Numbers Made Simple: 7 Key Ideas +...   🔔 Subscribe to Eurekha for clear, exam-focused lessons every week:    / @eurekha-c1g   If this helped, like the video and share it with a classmate who's working on qce specialist maths exam questions. About Eurekha: free, exam-focused lessons in maths, science and English, made in Melbourne, Australia for students following any curriculum worldwide. #QCE #SpecialistMaths #ExamPrep