Eton College — 13+ Maths Scholarship 2017 (Mathematics B)
Eton College set this 13+ Maths paper in 2017. Hearthprep hosts it as an interactive past paper — 30 questions worth 80 marks in a 80-minute timed mode, each marked on submission and backed by a step-by-step worked solution. Most 13+ entrance exams are sat between November and January of the year of entry.
Real 13+ Maths paper from Eton College (2017). 30 questions, 80 marks. Answer interactively with worked solutions. Covers Algebra, Geometry — Shape, Number & Place Value, Ratio & Proportion.
This is the school's own past paper, reproduced here with worked solutions by Hearthprep. Most 13+ entrance exams are sat between November and January of the year of entry, so a timed attempt at this paper is worth doing early enough to leave room for the topics it exposes. Work through it on screen with instant marking, or print the PDF and sit it under exam conditions.
- School
- Eton College
- Entry level
- 13+
- Subject
- Maths
- Year
- 2017
- Questions
- 30
- Marks
- 80
- Timed mode
- 80 minutes
- Updated
- 3 Sept 2026
Topics in this paper
- Algebra
- Geometry — Shape
- Number & Place Value
- Ratio & Proportion
Questions in this paper (3 of 30)
- Question 1short answer · 1 mark
Show that (k + 1)² − k² = 2k + 1.
- Question 2short answer · 2 marks
Find two whole numbers, a and b, such that: (i) a² − b² = 2017 (ii) a² − b² = 20172017
- Question 3short answer · 2 marks
Can all odd numbers be written as a difference of two squares? Justify your answer.
27 further questions in this paper open with any paid plan, along with marking and the worked solutions. See plans.
Frequently asked questions
What is in the Eton College — 13+ Maths Scholarship 2017 (Mathematics B)?
30 questions with 80 marks in total; Hearthprep's timed mode allows 80 minutes. It covers Algebra, Geometry — Shape, Number & Place Value, Ratio & Proportion. Eton College set it as a 13+ Maths paper.
How long is the Eton College 13+ Maths paper?
This paper's cover carries no time, so Hearthprep's timed mode allows 80 minutes for 80 marks and shows the clock on screen as your child answers. It is our estimate, not Eton College's.
Can my child answer this paper online?
Yes. Every question on this page can be answered in the browser and is marked the moment the paper is submitted — multiple choice, short answers and written responses alike. Answers are matched leniently, so a correct value written a different way (units, fractions, word numbers) still scores.
Are worked solutions included?
Every question has a step-by-step worked solution and an AI tutor that will talk through it after the paper is submitted. The first 3 questions of this paper are free to try; the remaining 27 and the marking come with a paid plan.
Where does this Eton College paper come from?
This is the school's own past paper, reproduced here with worked solutions by Hearthprep. Use it to time a full mock attempt, then drill whichever topics your child drops marks on.
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