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Eton College — 13+ Maths Scholarship 2016

Eton College set this 13+ Maths paper in 2016. Hearthprep hosts it as an interactive past paper — 23 questions worth 100 marks in 100 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 (2016). 23 questions, 100 marks. Answer interactively with worked solutions. Covers Algebra, Arithmetic & Operations, Fractions, Decimals & Percentages, Geometry — Shape, Number & Place Value, Problem Solving & Logic, Statistics & Data.

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
2016
Questions
23
Marks
100
Time
100 minutes
Exam board
ISEB

Topics in this paper

  • Algebra
  • Arithmetic & Operations
  • Fractions, Decimals & Percentages
  • Geometry — Shape
  • Number & Place Value
  • Problem Solving & Logic
  • Statistics & Data

Questions in this paper (3 of 23)

  1. Question 1short answer · 4 marks

    Solve the following equations: (i) 27x - 12 = 11x + 20. (ii) x/2 + 3/4 = x/5.

  2. Question 2short answer · 5 marks

    Calculate the following, leaving your answers as mixed numbers in their lowest terms: (i) (72/65) x 1 1/12. (ii) 2016 2/3 - 2014 3/4.

  3. Question 3short answer · 6 marks

    This question is about mean scores. (i) Show that 13 x 9.9 = 128.7. (ii) Two classes do the same test. The mean score of the 12 children in the first class is 12.4 and the mean score of the 13 children in the second class is 9.9. What is the mean score of the 25 children?

20 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 2016?

23 questions worth 100 marks in total, written for 100 minutes. It covers Algebra, Arithmetic & Operations, Fractions, Decimals & Percentages, Geometry — Shape, Number & Place Value, Problem Solving & Logic, Statistics & Data. Eton College set it as a 13+ Maths paper.

How long is the Eton College 13+ Maths paper?

This paper is timed at 100 minutes for 100 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 20 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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