Eton College — 13+ Maths Scholarship 2024
Eton College set this 13+ Maths paper in 2024. Hearthprep hosts it as an interactive past paper — 8 questions worth 80 marks in 80 minutes, each marked the moment the paper is submitted 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 (2024). 8 questions, 80 marks. Answer interactively with worked solutions. Covers Algebra, Geometry — Shape, Number & Place Value, Probability, Problem Solving & Logic.
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
- 2024
- Questions
- 8
- Marks
- 80
- Time
- 80 minutes
- Exam board
- ISEB
Topics in this paper
- Algebra
- Geometry — Shape
- Number & Place Value
- Probability
- Problem Solving & Logic
Questions in this paper (3 of 8)
- Question 1written answer · 10 marks
(a) 13 apricots, 7 bananas and 20 cherries cost £3.29. 10 apricots, 11 bananas and 21 cherries cost £3.71. Show that with this limited amount of information, it is possible to find the difference in price between one apricot and one banana, and find this difference. (b) In my drawer I have knives, forks, dessert spoons and teaspoons. Each knife weighs 75g, each fork 65g, each dessert spoon 90g …
- Question 2written answer · 10 marks
(a) ABCD is a square. FG is parallel to DE. AH is perpendicular to FG. Explain very briefly in terms of transformations why (i) FG and DE are equal in length; (ii) AH and FG are equal in length. (b) KLMN is a square of side length 72cm. Lines NP and RQ are perpendicular and intersect at O, which is the midpoint of NP. MP is of length 30cm. Find the length of OR as a mixed fraction.
- Question 3written answer · 10 marks
(a) The front wheels of farmer Barley's tractor are 2 1/3 metres in circumference; the back wheels are 4 2/11 metres in circumference. Barley drives the tractor in a straight line without slipping. (i) The tractor travels 100m. Find, as a mixed fraction, the number of revolutions each wheel has made. (ii) How far will the tractor have travelled when the front wheels have made 45 more revolution…
5 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 2024?
8 questions worth 80 marks in total, written for 80 minutes. It covers Algebra, Geometry — Shape, Number & Place Value, Probability, Problem Solving & Logic. Eton College set it as a 13+ Maths paper.
How long is the Eton College 13+ Maths paper?
This paper is timed at 80 minutes for 80 marks — roughly 60 seconds a mark. Hearthprep runs the same clock on screen, so your child sees how far through the time they are as they answer.
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 5 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.
Loading the interactive paper…