Radley College — 13+ Maths Scholarship 2026
Radley College set this 13+ Maths paper in 2026. Hearthprep hosts it as an interactive past paper — 6 questions worth 54 marks in 54 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 Radley College (2026). 6 questions, 54 marks. Answer interactively with worked solutions. Covers Algebra, Fractions, Decimals & Percentages, Geometry — Shape, 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
- Radley College
- Entry level
- 13+
- Subject
- Maths
- Year
- 2026
- Questions
- 6
- Marks
- 54
- Time
- 54 minutes
- Exam board
- ISEB
Topics in this paper
- Algebra
- Fractions, Decimals & Percentages
- Geometry — Shape
- Probability
- Problem Solving & Logic
Questions in this paper (3 of 6)
- Question 1short answer · 9 marks
(a) After Christmas, John finds that he weighs 105 kg. He goes on a diet with a target of losing 8% of his weight. What is his target weight? (b) Peter saved 23% more than his brother, Paul. Altogether they have saved £784.96. How much has Peter saved? (c) A car depreciates in value by 20% per year. It originally costs £30 000. (i) How much is it worth after one year? (ii) After how many years …
- Question 2short answer · 10 marks
(a) By writing 25 = 5^2, solve the equation 25^(x+1) = 5^(3-x). (b) Solve each of the following pairs of simultaneous equations: (i) 3^x × 3^y = 81 and 3^x / 3^y = 27 (ii) 16^x × 2^y = 32 and 64^x × 4^y = 128
- Question 3short answer · 8 marks
A water container is in the shape of a cylinder of base radius 12 cm and height 20 cm. Water is poured into the container to a depth of 10 cm. [Diagram: an upright cylindrical container, base radius 12 cm and height 20 cm, holding water to a depth of 10 cm.] (a) A heavy smaller cylinder of radius 6 cm and length 15 cm is lowered into the container and rests on its side (lying horizontally) at t…
3 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 2026?
6 questions worth 54 marks in total, written for 54 minutes. It covers Algebra, Fractions, Decimals & Percentages, Geometry — Shape, Probability, Problem Solving & Logic. Radley College set it as a 13+ Maths paper.
How long is the Radley College 13+ Maths paper?
This paper is timed at 54 minutes for 54 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 3 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.
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