Tonbridge School — 13+ Maths Scholarship 2024
Tonbridge School set this 13+ Maths paper in 2024. Hearthprep hosts it as an interactive past paper — 7 questions worth 70 marks in 90 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 Tonbridge School (2024). 7 questions, 70 marks. Answer interactively with worked solutions. Covers Algebra, 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
- Tonbridge School
- Entry level
- 13+
- Subject
- Maths
- Year
- 2024
- Questions
- 7
- Marks
- 70
- Time
- 90 minutes
- Exam board
- ISEB
Topics in this paper
- Algebra
- Geometry — Shape
- Problem Solving & Logic
Questions in this paper (3 of 7)
- Question 1short answer · 10 marks
The following equation is used in the manufacture of the lenses of glasses: P/(n-1) = 1/Q - 1/R, where P is the power of the lens, n depends on what the lens is made of, and Q, R are related to the curvature of the two surfaces of the lens. Note that any of P, Q, R may be negative numbers, but n is always positive. In the questions below, give your answers as decimals correct to 2 decimal place…
- Question 2short answer · 10 marks
In the following two diagrams, the number on each edge is the sum of the two numbers at the ends of the edge. For example, in (a), we have A + B = 19. (a) By forming and solving appropriate equations, find the numbers A, B, C. Triangle with A at top vertex, B at bottom-left, C at bottom-right; edges labelled AB = 19, AC = 11, BC = 10. (b) In a similar way, find the numbers A, B, C, D, E. A pent…
- Question 3short answer · 10 marks
[In this question you will need to use the facts that a sphere of radius r has curved surface area S = 4 pi r^2 and volume V = (4/3) pi r^3.] This question concerns hollow spheres which are the solid shapes formed by removing a small inner sphere of radius r cm from a large solid sphere of radius R cm. (a) If R = 9 and r = 6, find the volume of the hollow sphere and its total (inner and outer) …
4 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 Tonbridge School — 13+ Maths Scholarship 2024?
7 questions worth 70 marks in total, written for 90 minutes. It covers Algebra, Geometry — Shape, Problem Solving & Logic. Tonbridge School set it as a 13+ Maths paper.
How long is the Tonbridge School 13+ Maths paper?
This paper is timed at 90 minutes for 70 marks — roughly 77 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 4 and the marking come with a paid plan.
Where does this Tonbridge School 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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