Dulwich College — 13+ Maths Sample Paper
Dulwich College published this 13+ Maths sample paper to show the assessment style; it is official school material, not a past paper. Hearthprep makes it interactive — 22 questions worth 108 marks in a 90-minute timed mode, each marked on submission and backed by a step-by-step worked solution. Sit it as a timed mock or drill it question by question.
Real 13+ Maths paper from Dulwich College. 22 questions, 108 marks. Answer interactively with worked solutions. Covers Algebra, Fractions, Decimals & Percentages, Geometry — Shape, Number & Place Value, Probability, Ratio & Proportion, Statistics & Data.
Dulwich College 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
- Dulwich College
- Entry level
- 13+
- Subject
- Maths
- Year
- Undated
- Questions
- 22
- Marks
- 108
- Time allowed
- 90 minutes
- Updated
- 3 Sept 2026
Topics in this paper
- Algebra
- Fractions, Decimals & Percentages
- Geometry — Shape
- Number & Place Value
- Probability
- Ratio & Proportion
- Statistics & Data
Questions in this paper (3 of 22)
- Question 1short answer · 3 marks
(a) Use your calculator to evaluate √(13.5^2 − 4.9), writing down all the figures shown on your calculator display. [2] (b) Give your answer to part (a) rounded to 2 decimal places. [1]
- Question 2short answer · 2 marks
In a sale, prices are reduced by 15%. The normal price of a camera is £140. Calculate the sale price of the camera.
- Question 3short answer · 3 marks
A duck walks alongside a river at a speed of 2 kilometres an hour. Calculate how far in metres the duck walks in 45 minutes.
19 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 Dulwich College — 13+ Maths Sample Paper?
22 questions with 108 marks in total; Dulwich College allowed 90 minutes for it. It covers Algebra, Fractions, Decimals & Percentages, Geometry — Shape, Number & Place Value, Probability, Ratio & Proportion, Statistics & Data. Dulwich College 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 Dulwich College 13+ Maths paper?
Dulwich College printed an allowance of 90 minutes on this paper. The paper carries 108 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 19 and the marking come with a paid plan.
Is this a real past paper?
Dulwich College 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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