MATHEMATICS ADMISSIONS TEST
QUESTION BOOKLET
For candidates applying for Mathematics, Computer Science, or one of their joint degrees at the
UNIVERSITY OF OXFORD and/or degrees at IMPERIAL COLLEGE LONDON and/or
degrees at the UNIVERSITY OF WARWICK.
October 2023
Time allowed: 2 12 hours
You must use a pen throughout the test.
Calculators are not permitted.
Please write your answers and rough work in the Candidate Answer Booklet.
During the test, please write your Candidate Number at the top of each page of the answer
booklet as indicated.
The test contains 6 questions of which you should attempt 5.
If you are applying to Oxford for the degree course:
Mathematics / Mathematics & Statistics, or Mathematics & Philosophy, you should attempt
Questions 1, 2, 3, 4, 5.
Computer Science, or Mathematics & Computer Science, or Computer Science &
Philosophy, you should attempt Questions 1, 2, 3, 5, 6.
If you are not an Oxford applicant, you should attempt Questions 1, 2, 3, 4, 5.
Further credit cannot be obtained by attempting extra questions.
Question 1 is a multiple-choice question with ten parts. Marks are given solely for correct answers,
but any rough working should be shown in the pages in the answer booklet. Answer Question 1
on the grid in the answer booklet. Each part is worth 4 marks.
Answers to Questions 2–6 should be written in the space provided in the answer booklet,
continuing onto the blank pages at the end of the answer booklet if necessary. Each of Questions
2–6 is worth 15 marks.
, A. [4 marks] In this question we write α = log10 2, β = log10 3, and γ = log10 7. Each
of the following numbers is close to an integer. Which is the closest to an integer?
(a) 2β, (b) 5α + β, (c) α + 2γ, (d) 2α + 5β, (e) 2α + β + γ.
[Hint: 22 × 35 = 9.72 × 102 ]
B. [4 marks] Exactly one of these five numbers is a square number. Which one?
(a) 99,999,999, (b) 123,333,333, (c) 649,485,225, (d) 713,291,035, (e) 987,654,000.
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QUESTION BOOKLET
For candidates applying for Mathematics, Computer Science, or one of their joint degrees at the
UNIVERSITY OF OXFORD and/or degrees at IMPERIAL COLLEGE LONDON and/or
degrees at the UNIVERSITY OF WARWICK.
October 2023
Time allowed: 2 12 hours
You must use a pen throughout the test.
Calculators are not permitted.
Please write your answers and rough work in the Candidate Answer Booklet.
During the test, please write your Candidate Number at the top of each page of the answer
booklet as indicated.
The test contains 6 questions of which you should attempt 5.
If you are applying to Oxford for the degree course:
Mathematics / Mathematics & Statistics, or Mathematics & Philosophy, you should attempt
Questions 1, 2, 3, 4, 5.
Computer Science, or Mathematics & Computer Science, or Computer Science &
Philosophy, you should attempt Questions 1, 2, 3, 5, 6.
If you are not an Oxford applicant, you should attempt Questions 1, 2, 3, 4, 5.
Further credit cannot be obtained by attempting extra questions.
Question 1 is a multiple-choice question with ten parts. Marks are given solely for correct answers,
but any rough working should be shown in the pages in the answer booklet. Answer Question 1
on the grid in the answer booklet. Each part is worth 4 marks.
Answers to Questions 2–6 should be written in the space provided in the answer booklet,
continuing onto the blank pages at the end of the answer booklet if necessary. Each of Questions
2–6 is worth 15 marks.
, A. [4 marks] In this question we write α = log10 2, β = log10 3, and γ = log10 7. Each
of the following numbers is close to an integer. Which is the closest to an integer?
(a) 2β, (b) 5α + β, (c) α + 2γ, (d) 2α + 5β, (e) 2α + β + γ.
[Hint: 22 × 35 = 9.72 × 102 ]
B. [4 marks] Exactly one of these five numbers is a square number. Which one?
(a) 99,999,999, (b) 123,333,333, (c) 649,485,225, (d) 713,291,035, (e) 987,654,000.
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