Tonbridge School — 13+ Maths Scholarship 2024
Tonbridge School set this 13+ Maths paper in 2024. Hearthprep hosts it as an interactive past paper — 9 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 Tonbridge School (2024). 9 questions, 100 marks. Answer interactively with worked solutions. Covers Algebra, Geometry — Shape.
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
- 9
- Marks
- 100
- Time
- 100 minutes
- Exam board
- ISEB
Topics in this paper
- Algebra
- Geometry — Shape
Questions in this paper (3 of 9)
- Question 1written answer · 8 marks
A machine produces two sizes of square tiles. Big ones have area x cm^2; small ones have area y cm^2. You are given that: 3 big tiles and 5 small tiles have a total area of 8 cm^2; A big tile has an area which is 2 cm^2 greater than that of a small tile. Use this information to write down two simultaneous equations involving x and y. Hence find the perimeter of a big tile.
- Question 2written answer · 8 marks
On the Reaumur temperature scale, the freezing point of water is 0 degrees Reaumur and the boiling point of water is 80 degrees Reaumur. On the Fahrenheit temperature scale, the freezing point of water is 32 degrees Fahrenheit and the boiling point of water is 212 degrees Fahrenheit. (a) What is 50 degrees Reaumur in degrees Fahrenheit? (b) What is 68 degrees Fahrenheit in degrees Reaumur? (c) …
- Question 3written answer · 8 marks
This question is about the interior and exterior angles of regular polygons. In each part, find the number of sides of the regular polygon from the information given. (a) The interior angle is smaller than the exterior angle. (b) The interior angle is 100 degrees more than the exterior angle. (c) The interior angle is 100 times the exterior angle.
6 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?
9 questions worth 100 marks in total, written for 100 minutes. It covers Algebra, Geometry — Shape. Tonbridge School set it as a 13+ Maths paper.
How long is the Tonbridge School 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 6 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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