Sevenoaks School — 13+ Maths Sample Paper 2018
Sevenoaks School published this 13+ Maths sample paper in 2018 to show the assessment style; it is official school material, not a past paper. Hearthprep makes it interactive — 20 questions worth 64 marks in a 60-minute timed mode, each marked on submission and backed by a step-by-step worked solution.
Real 13+ Maths paper from Sevenoaks School (2018). 20 questions, 64 marks. Answer interactively with worked solutions. Covers Algebra, Fractions, Decimals & Percentages, Geometry — Shape, Number & Place Value, Problem Solving & Logic, Ratio & Proportion.
Sevenoaks School published this sample paper as preparation for its assessment. It is official school material, but not a paper candidates actually sat. 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
- Sevenoaks School
- Entry level
- 13+
- Subject
- Maths
- Year
- 2018
- Questions
- 20
- Marks
- 64
- Time allowed
- 60 minutes
- Updated
- 3 Sept 2026
Topics in this paper
- Algebra
- Fractions, Decimals & Percentages
- Geometry — Shape
- Number & Place Value
- Problem Solving & Logic
- Ratio & Proportion
Questions in this paper (3 of 20)
- Question 1short answer · 2 marks
A hard drive has enough storage space left for 7 1/2 hours of TV programmes. How many programmes each lasting 5/6 of an hour can be recorded on the hard drive?
- Question 2short answer · 2 marks
The numbers 1/2, x, y, 3/4 are in increasing order of size. The differences between successive numbers in this list are all the same. What is the value of y?
- Question 3short answer · 4 marks
A baby weighs 4 kg when he is born. One week later he weighs 8% less than his birth weight. (a) How much does the baby weigh when he is one week old? (b) The baby then gains 200 g every two weeks for the next eight weeks. How much does the baby weigh when he is nine weeks old?
17 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 Sevenoaks School — 13+ Maths Sample Paper 2018?
20 questions with 64 marks in total; Sevenoaks School allowed 60 minutes for it. It covers Algebra, Fractions, Decimals & Percentages, Geometry — Shape, Number & Place Value, Problem Solving & Logic, Ratio & Proportion. Sevenoaks School published this sample paper as preparation for its assessment. It is official school material, but not a paper candidates actually sat.
How long is the Sevenoaks School 13+ Maths paper?
Sevenoaks School printed an allowance of 60 minutes on this paper. The paper carries 64 marks, roughly 56 seconds a mark.
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 17 and the marking come with a paid plan.
Is this a real past paper?
Sevenoaks School published this sample paper as preparation for its assessment. It is official school material, but not a paper candidates actually sat. Use it to time a full mock attempt, then drill whichever topics your child drops marks on.
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