The Perse Upper School — 13+ Maths Specimen Paper
The Perse Upper School published this 13+ Maths specimen paper to show the assessment style; it is official school material, not a past paper. Hearthprep makes it interactive — 27 questions worth 72 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 The Perse Upper School. 27 questions, 72 marks. Answer interactively with worked solutions. Covers Algebra, Arithmetic & Operations, Fractions, Decimals & Percentages, Geometry — Shape, Number & Place Value, Probability, Ratio & Proportion, Statistics & Data.
The Perse Upper School published this specimen 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
- The Perse Upper School
- Entry level
- 13+
- Subject
- Maths
- Year
- Undated
- Questions
- 27
- Marks
- 72
- Time allowed
- 60 minutes
- Updated
- 3 Sept 2026
Topics in this paper
- Algebra
- Arithmetic & Operations
- Fractions, Decimals & Percentages
- Geometry — Shape
- Number & Place Value
- Probability
- Ratio & Proportion
- Statistics & Data
Questions in this paper (3 of 27)
- Question 1short answer · 4 marks
Calculate: (a) 197 + 798 (b) 603 - 158 (c) 67 x 3 (d) 170 / 5
- Question 2short answer · 4 marks
Simplify each of the following expressions: (a) 6a^2 + a^2 (b) 6a^2 x a^2 (c) 6a^2 / a^2 (d) (4a + 2a) / (6a^2)
- Question 3short answer · 1 mark
On my calculator, 5/6 is shown as 0.8333333333 [i.e. an 11 digit display] What would my calculator show for 5/60 ?
24 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 The Perse Upper School — 13+ Maths Specimen Paper?
27 questions with 72 marks in total; The Perse Upper School allowed 60 minutes for it. It covers Algebra, Arithmetic & Operations, Fractions, Decimals & Percentages, Geometry — Shape, Number & Place Value, Probability, Ratio & Proportion, Statistics & Data. The Perse Upper 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 The Perse Upper School 13+ Maths paper?
The Perse Upper School printed an allowance of 60 minutes on this paper. The paper carries 72 marks, roughly 50 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 24 and the marking come with a paid plan.
Is this a real past paper?
The Perse Upper 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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