🇬🇧 Limited Time — UK Only·🎓 Free Learning for 1 Month·🤖 Free AI Training Included·📚 4,000+ Lessons · 35,000+ Quizzes·🏆 GCSE Mocks · Olympiad Papers·⚡ Selected Students Only · Limited Places·🎁 Free Value Worth £2,000·🇬🇧 Limited Time — UK Only·🎓 Free Learning for 1 Month·🤖 Free AI Training Included·📚 4,000+ Lessons · 35,000+ Quizzes·🏆 GCSE Mocks · Olympiad Papers·⚡ Selected Students Only · Limited Places·🎁 Free Value Worth £2,000·🇬🇧 Limited Time — UK Only·🎓 Free Learning for 1 Month·🤖 Free AI Training Included·📚 4,000+ Lessons · 35,000+ Quizzes·🏆 GCSE Mocks · Olympiad Papers·⚡ Selected Students Only · Limited Places·🎁 Free Value Worth £2,000·
Back to questions directory
A-Level MathematicsYear 2023Q5

page 04 MARKS 5. The equation   2 2 3 2 0 x p x p     has equal roots. Determine the possible values of p. 6. Find   5 2 6 x x dx   , 0 x . 7. (a) Evaluate log log 2 2 1 5 40  . (b) Given that a and that log8 a is negative, state the range of possible values of a. 8. A function, f, is defined on , the set of real numbers, by  3 2 3 9 5 f x x x x    . Find the coordinates of the stationary points of f and determine their nature. 3 4 2 1 6

Mathematics A-Level Diagram
Paper Source:NH_Mathematics_Paper1-Non-calculator_2023.pdf

Get full Socratic AI guidance on this question — free in the Applaa desktop app

Appy Buddy guides you step-by-step toward the answer without giving it away. Type your attempt and get instant, mark-scheme-aware clues that teach you to think like an examiner.

Download Applaa Free →
Applaa Desktop App

Join Applaa Community

Create your own games, learn AI concepts, program interactive apps, and share with a kid-safe community approved by parents. Free forever on Windows and Mac.

Download Free

Available for Windows and macOS · COPPA Compliant

Exam Specification Info

This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.

Syllabus levelAdvanced Level (A-Level)
SubjectMathematics
Official MarksVariable (2–6 marks)