Rugby School — 16+ Maths Specimen Paper 2023
Rugby School published this 16+ Maths specimen paper in 2023 to show the assessment style; it is official school material, not a past paper. Hearthprep makes it interactive — 19 questions worth 82 marks in a 60-minute timed mode, each marked on submission and backed by a step-by-step worked solution.
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.
Rugby School published this specimen paper as preparation for its assessment. It is official school material, but not a paper candidates actually sat. 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 allowed
- 60 minutes
- Updated
- 3 Sept 2026
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 with 82 marks in total; Rugby School allowed 60 minutes for it. It covers Algebra, Fractions, Decimals & Percentages, Geometry — Shape, Number & Place Value, Probability, Problem Solving & Logic. Rugby School published this specimen paper as preparation for its assessment. It is official school material, but not a paper candidates actually sat.
How long is the Rugby School 16+ Maths paper?
Rugby School printed an allowance of 60 minutes on this paper. The paper carries 82 marks, roughly 44 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 16 and the marking come with a paid plan.
Is this a real past paper?
Rugby School published this specimen 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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