Radley College — 13+ Maths Scholarship 2025 (Stage Two)
Radley College set this 13+ Maths paper in 2025. Hearthprep hosts it as an interactive past paper — 23 questions worth 51 marks in a 51-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 Radley College (2025). 23 questions, 51 marks. Answer interactively with worked solutions. Covers Algebra, Fractions, Decimals & Percentages, Geometry — Shape, 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
- Radley College
- Entry level
- 13+
- Subject
- Maths
- Year
- 2025
- Questions
- 23
- Marks
- 51
- Timed mode
- 51 minutes
- Updated
- 3 Sept 2026
Topics in this paper
- Algebra
- Fractions, Decimals & Percentages
- Geometry — Shape
- Problem Solving & Logic
Questions in this paper (3 of 23)
- Question 1short answer · 4 marks
At a wine shop a customer buys five bottles of white wine and three bottles of red wine for a total cost of £98. Another customer buys seven bottles of white wine and four bottles of red wine for a total cost of £136. I wish to buy four bottles of white wine and four bottles of red wine. How much will I pay? Assume all white wine bottles cost the same, as do all red wine bottles.
- Question 2short answer · 4 marks
A rectangle has length L and breadth B. If we increase both its length and its breadth by 2 cm, then the area of the original rectangle is increased by 54 cm^2. Find the perimeter of the original rectangle.
- Question 3short answer · 2 marks
The price of a coat is reduced by 25% in a sale. Given the original price is £242, calculate the sale price.
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 Radley College — 13+ Maths Scholarship 2025 (Stage Two)?
23 questions with 51 marks in total; Hearthprep's timed mode allows 51 minutes. It covers Algebra, Fractions, Decimals & Percentages, Geometry — Shape, Problem Solving & Logic. Radley College set it as a 13+ Maths paper.
How long is the Radley College 13+ Maths paper?
This paper's cover carries no time, so Hearthprep's timed mode allows 51 minutes for 51 marks and shows the clock on screen as your child answers. It is our estimate, not Radley 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 20 and the marking come with a paid plan.
Where does this Radley 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…