Can ChatGPT Pass the Oxford University Admissions Test?
TLDRDr. Tom Crawford from the University of Oxford tests if ChatGPT can pass the Oxford maths entrance exam (MAT). The test includes multiple-choice and written questions on geometry, integrals, and polynomials. Despite some successes, ChatGPT struggles with several questions, particularly in interpreting and solving complex mathematical problems. The final score is 48 out of 100, which suggests that ChatGPT would not pass the Oxford admissions test. The experiment highlights both the potential and limitations of AI in handling high-level academic challenges.
Takeaways
- 📊 ChatGPT is tested on the Oxford University Maths Admissions Test (MAT).
- 🎓 The MAT is crucial for students applying to study mathematics at Oxford.
- 📝 Dr. Tom Crawford, a member of the admissions team, oversees the test.
- 🧮 The test consists of five questions with a total score of 100 points.
- 📐 Question 1 involves geometry, focusing on a dodecagon (12-sided polygon).
- 📊 The second question asks ChatGPT to solve an integral.
- 📉 Questions 3-5 cover various topics including tangents, areas, and probability.
- 🤖 ChatGPT struggles with multiple choice questions, scoring 12 out of 40.
- 💡 It performs better on non-multiple choice questions, particularly in word-heavy sections.
- 📉 Overall, ChatGPT scores 48 out of 100, falling short of the typical admission range.
Q & A
What is the purpose of the Oxford University Maths Admissions Test (MAT)?
-The MAT is an exam taken by all students applying for the undergraduate maths course at the University of Oxford. The score plays an important role in the decision-making process for admissions.
Who is conducting the experiment with ChatGPT in the video?
-Dr. Tom Crawford from the University of Oxford, who is part of the admissions team at St Edmund Hall, is conducting the experiment.
What version of the MAT is ChatGPT attempting to solve in the video?
-ChatGPT is attempting to solve the 2021 version of the Maths Admissions Test.
What is the structure of the MAT as described in the video?
-The MAT consists of five questions with a maximum score of 100. Question one is multiple choice with ten parts worth four marks each, totaling 40 marks. The remaining four questions are each worth 15 marks.
How did ChatGPT perform on the first multiple-choice question about geometry?
-ChatGPT incorrectly answered the first multiple-choice question about the area of a regular dodecagon and received zero marks.
What approach did ChatGPT use to solve the integral in question one part B?
-ChatGPT used the power rule of integration and attempted to solve for a, but it made an error in the algebra, resulting in an incorrect answer.
How did ChatGPT fare on the non-multiple-choice questions compared to the multiple-choice section?
-ChatGPT performed better on the non-multiple-choice questions, particularly when the questions were worded and involved proofs, as it was able to explain its reasoning and arrive at correct answers more frequently.
What were the main challenges ChatGPT faced in solving the MAT questions?
-ChatGPT struggled with interpreting the questions correctly, particularly in the multiple-choice section. It also faced difficulties with algebraic manipulation and visualizing geometry problems.
What was ChatGPT's overall score on the MAT, and how does it compare to typical student scores?
-ChatGPT scored 48 out of 100. This is lower than the typical student scores, which usually range between 60 and 70.
Did ChatGPT pass the Oxford Maths Admissions Test based on the experiment?
-No, ChatGPT did not pass the Oxford Maths Admissions Test. Although it showed some capability, its overall performance was not high enough to be considered a pass.
Outlines
🧑🏫 Introduction to the Oxford Maths Entrance Exam
Dr. Tom Crawford from the University of Oxford introduces the video where he tests ChatGPT's ability to pass the Oxford maths entrance exam, known as the Maths Admissions Test (MAT). He explains the significance of the exam for undergraduate maths applicants and his interest in seeing how AI performs. The MAT consists of five questions with varying marks, and ChatGPT will attempt the 2021 version.
🔢 Geometry Question on Dodecagons
The first question involves calculating the area of a regular dodecagon by dividing it into 12 congruent isosceles triangles. ChatGPT attempts the question, making assumptions and using the Pythagorean theorem, but ultimately arrives at the wrong answer. Dr. Crawford explains where ChatGPT went wrong, resulting in zero marks for this question.
📈 Integral Calculation Attempt
In the second part, ChatGPT tackles an integral problem. It correctly uses the power rule of integration but makes errors in algebra, leading to an incorrect answer. Despite some sensible steps, the final result is incorrect, and ChatGPT receives zero marks again.
🔄 Tangents and Intersection Points
ChatGPT addresses a question about the intersection of tangent lines drawn at specific points on a curve. It methodically checks each given statement for correctness and identifies which are true. Despite a slight error in the problem's input, it successfully identifies the correct statement, earning full marks for this part.
📉 Area Between Curves
ChatGPT is asked to find the area between two curves and the y-axis. It calculates the points of intersection and integrates the difference between the curves correctly, arriving at the right answer and earning full marks for this section.
📊 Vectors and Probabilities
ChatGPT tackles a probability question involving the sum of vectors. Despite calculating some probabilities and solving equations, it ultimately provides an answer that is not listed among the options, leading to another zero mark.
🧮 Tangents and Cubic Equations
The next question involves finding values where a tangent to a cubic curve also passes through a specific point. ChatGPT performs calculations but arrives at an incorrect number of solutions, resulting in zero marks.
📏 Graphs and Logarithmic Functions
ChatGPT attempts a question about the graph of a logarithmic function. It describes the function's properties and attempts to plot the graph but fails to match any given options correctly, leading to zero marks.
🔠 Recurrence Relations and Sequences
ChatGPT is tasked with determining the behavior of a sequence defined by a recurrence relation. It uses induction to verify statements about the sequence and successfully identifies the correct option, earning full marks.
🎓 Evaluating Logarithmic Expressions
ChatGPT attempts a series of problems involving logarithmic expressions and Taylor expansions. It successfully evaluates expressions and deduces values for logarithms, earning marks for correct calculations and logical steps, but fails to apply the alternating series estimation theorem correctly, losing marks.
🔄 Polynomials and Turning Points
In a question about polynomials and turning points, ChatGPT correctly identifies repeated roots and the polynomial's form. It proves properties algebraically, identifies turning points, and describes symmetry, earning a mix of full and partial marks for correct reasoning and methodology.
🔢 Geometry and Cake Cutting Problem
ChatGPT struggles with a geometry problem involving cutting a square cake into specific areas. It fails to derive the correct formula for the area of a slice and misinterprets subsequent parts, resulting in zero marks for incorrect calculations and understanding.
🔺 Triangular Triples and Counting
ChatGPT addresses a problem about triangular triples, verifying and counting valid triples. It successfully proves properties and calculates specific values, demonstrating logical reasoning and correct application of theorems, earning high marks for these parts.
🔄 General Form of Triangular Triples
ChatGPT attempts to generalize properties of triangular triples and proves theorems about their structure. It uses previous results effectively and applies logical deductions correctly, earning full marks for the final part of the problem.
🔄 Conclusion and Performance Evaluation
Dr. Crawford concludes the video by evaluating ChatGPT's performance. Despite some strong answers in non-multiple-choice questions, the overall score is 48 out of 100. He reflects on the experiment's insights and ChatGPT's challenges with mathematical expressions versus textual inputs.
Mindmap
Keywords
💡Oxford University Admissions Test
💡ChatGPT
💡Geometry
💡Dodecagon
💡Integral
💡Polynomial
💡Turning Point
💡Symmetry
💡Triangular Triple
💡Multiple Choice
Highlights
Introduction to the challenge of testing if ChatGPT can pass the Oxford maths entrance exam.
Explanation of the Oxford Maths Admissions Test (MAT) and its importance in the admissions process.
Description of the test structure: five questions, multiple choice and longer problems, with a total score of 100.
Dr. Tom Crawford is part of the admissions team and has a vested interest in seeing how ChatGPT handles the exam.
ChatGPT tackles the geometry question on dodecagons but makes a critical error in calculating the height.
ChatGPT incorrectly answers the integral problem, showing a mistake in algebra.
A successful attempt by ChatGPT on the tangents question, demonstrating a correct interpretation of the intersection points.
ChatGPT answers the area under the curve question correctly, showing its capability with calculus.
Failure of ChatGPT on the vector probability question, indicating a misunderstanding of the problem.
An analysis of the function graph question reveals ChatGPT's difficulty with visual interpretations.
In-depth analysis of a polynomial's turning points and symmetry, where ChatGPT performs well.
ChatGPT struggles with the geometry problem involving slicing a cake, particularly with visualizing and calculating areas.
The final polynomial problem is handled well by ChatGPT, showing strong performance in proofs and mathematical logic.
Overall, ChatGPT scores 48 out of 100, demonstrating competence but also significant areas for improvement.
Dr. Tom Crawford concludes that ChatGPT's performance is interesting but not sufficient to pass the Oxford maths admissions test.
