Sevenoaks School — 13+ Maths Entrance Exam 2022
Sevenoaks School set this 13+ Maths paper in 2022. Hearthprep hosts it as an interactive past paper — 6 questions worth 55 marks in 55 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 Sevenoaks School (2022). 6 questions, 55 marks. Answer interactively with worked solutions. Covers Algebra, Geometry — Shape, Number & Place Value, Problem Solving & Logic, Statistics & Data.
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
- Sevenoaks School
- Entry level
- 13+
- Subject
- Maths
- Year
- 2022
- Questions
- 6
- Marks
- 55
- Time
- 55 minutes
- Exam board
- ISEB
Topics in this paper
- Algebra
- Geometry — Shape
- Number & Place Value
- Problem Solving & Logic
- Statistics & Data
Questions in this paper (3 of 6)
- Question 1short answer · 8 marks
(a) Find the next three terms in each of these sequences: (i) 8, 11, 14, 17, 20, ... (ii) 4, 7, 12, 19, 28, ... (b) A sequence starts 1, 4, 9, 16, 25, .... Find the 20th number in this sequence. (c) Find a formula for the nth term of the sequence which starts 7, 9, 11, 13, 15, .... (d) I have a sequence where each term is the sum of the two terms before it. I have forgotten the first three numb…
- Question 2short answer · 11 marks
(a) Simplify: (i) 5x + 2x - 3x (ii) 3ab + 2a^2 + 4ba - 2a^2 (iii) 5x - (2x + 1). (b) If p = 5, q = 2 and r = -3, find: (i) 2p + q (ii) pq - r (iii) (r^2 + p) / q. (c) If a - b = 5, find the value of 3a - 3b. (d) (i) Freddie has five times as many sweets as Marcus. If Marcus has x sweets, write down an expression for how many sweets Freddie has. (ii) Freddie gives six sweets to Marcus. Write dow…
- Question 3short answer · 7 marks
(a) For the list of numbers: 8, 5, 6, 8, 9, 6, 4, 8, find: (i) the mean (ii) the range. (b) Six boys and four girls take a test. The boys get a mean score of 71 and the girls get a mean score of 74. Find the mean of all ten children. (c) I think of four whole numbers. The mode of the four numbers is 12. The median of the four numbers is 10. The range of the four numbers is 5. Find the four numb…
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 Sevenoaks School — 13+ Maths Entrance Exam 2022?
6 questions worth 55 marks in total, written for 55 minutes. It covers Algebra, Geometry — Shape, Number & Place Value, Problem Solving & Logic, Statistics & Data. Sevenoaks School set it as a 13+ Maths paper.
How long is the Sevenoaks School 13+ Maths paper?
This paper is timed at 55 minutes for 55 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 Sevenoaks 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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