Radley College — 13+ Maths Scholarship 2023
Radley College set this 13+ Maths paper in 2023. Hearthprep hosts it as an interactive past paper — 6 questions worth 48 marks in 48 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 (2023). 6 questions, 48 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
- 2023
- Questions
- 6
- Marks
- 48
- Time
- 48 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 · 7 marks
(a) On December 1st the cost of a basket of groceries is £85. On January 1st it rises by 4%, and on February 1st it rises by another 5%. What is the cost on February 1st? (b) In a sale the cost of a coat is reduced by 20% on January 1st. That sale price is reduced by a further 10% on February 1st. The cost on February 1st is £138.24. What was the cost of the coat before the sale? (c) A vintage …
- Question 2short answer · 4 marks
The diagram shows a roll of toilet paper. The inner tube has a diameter of 4 cm, and the whole roll has a diameter of 12 cm. The roll contains 150 sheets. A jumbo roll has the same inner tube, but the whole roll has a diameter of 20 cm. Estimate the number of sheets in a jumbo roll.
- Question 3short answer · 6 marks
A man completes a hike of 43 km. He walks the first 22 km at a speed of v km/h, and then jogs the remaining hike at a speed that is 4 km/h faster than his walking speed. The hike takes 7½ hours. (a) Write down an expression in terms of v for the time he spends walking. (b) Write down an expression in terms of v for the time he spends jogging. (c) Write down an equation for v. (d) Solve your equ…
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 2023?
6 questions worth 48 marks in total, written for 48 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 48 minutes for 48 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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