Rugby School — 16+ Maths Specimen Paper 2023
Rugby School set this 16+ Maths paper in 2023. Hearthprep hosts it as an interactive past paper — 19 questions worth 82 marks in 82 minutes, each marked the moment the paper is submitted and backed by a step-by-step worked solution. Most 16+ entrance exams are sat between November and January of the year of entry.
Real 16+ Maths paper from Rugby School (2023). 19 questions, 82 marks. Answer interactively with worked solutions. Covers Algebra, Fractions, Decimals & Percentages, Geometry — Shape, Number & Place Value, Probability, Problem Solving & Logic.
This is the school's own past paper, reproduced here with worked solutions by Hearthprep. Most 16+ 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
- Rugby School
- Entry level
- 16+
- Subject
- Maths
- Year
- 2023
- Questions
- 19
- Marks
- 82
- Time
- 82 minutes
- Exam board
- ISEB
Topics in this paper
- Algebra
- Fractions, Decimals & Percentages
- Geometry — Shape
- Number & Place Value
- Probability
- Problem Solving & Logic
Questions in this paper (3 of 19)
- Question 1short answer · 6 marks
Section B. Solve the following equations: (a) (2x + 1)/3 - (x - 3)/4 = 10 [3]; (b) 3(4x - 3)/7 + 1 = x [3].
- Question 2short answer · 3 marks
Harold bought an antique clock for £1200. The clock increased in value by 8% per year. Find the value of the clock exactly 3 years after Harold bought the clock. Give your answer correct to the nearest £.
- Question 3short answer · 4 marks
Solve the simultaneous equations 7x + 2y = 5.5 and 3x - 5y = 17. Show clear algebraic working.
16 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 Rugby School — 16+ Maths Specimen Paper 2023?
19 questions worth 82 marks in total, written for 82 minutes. It covers Algebra, Fractions, Decimals & Percentages, Geometry — Shape, Number & Place Value, Probability, Problem Solving & Logic. Rugby School set it as a 16+ Maths paper.
How long is the Rugby School 16+ Maths paper?
This paper is timed at 82 minutes for 82 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 16 and the marking come with a paid plan.
Where does this Rugby 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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