Dulwich College — 13+ Maths Specimen Paper
Dulwich College published this 13+ Maths specimen paper to show the assessment style; it is official school material, not a past paper. Hearthprep makes it interactive — 22 questions worth 100 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, 100 marks. Answer interactively with worked solutions. Covers Algebra, Fractions, Decimals & Percentages, Geometry — Measurement, Geometry — Shape, Number & Place Value, Probability, Ratio & Proportion, Statistics & Data.
Dulwich College 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
- Dulwich College
- Entry level
- 13+
- Subject
- Maths
- Year
- Undated
- Questions
- 22
- Marks
- 100
- Time allowed
- 90 minutes
- Updated
- 3 Sept 2026
Topics in this paper
- Algebra
- Fractions, Decimals & Percentages
- Geometry — Measurement
- Geometry — Shape
- Number & Place Value
- Probability
- Ratio & Proportion
- Statistics & Data
Questions in this paper (3 of 22)
- Question 1short answer · 3 marks
Use your calculator to work out the value of (23 + 1.6^2) / sqrt(43 - 2.5^3). (a) Write down the first 10 digits shown on your calculator. (b) Write your answer to (a) rounded to 3 decimal places. (c) Write your answer to (a) rounded to 2 significant figures.
- Question 2short answer · 5 marks
(a)(i) A car was bought on January 1st 2010 for £16,000. By January 1st 2011 its value had fallen by 20%. Calculate the value of the car on January 1st 2011. (a)(ii) In each subsequent year, the value of the car fell by 15%. Calculate its value on January 1st 2013. (b) A rare postage stamp was bought for £300 in 1980. Its value at that time was just 12% of its current value. Calculate the curre…
- Question 3short answer · 6 marks
Below is a sequence of numbers: 5, 8, 11, 14, ... (a) Calculate the 10th term. (b) Calculate the 75th term. (c) David saves 5p on Sunday 1st December, 8p on Monday 2nd December, 11p on Tuesday 3rd December, and so on according to the sequence above. Calculate the day and date on which David will save 77p.
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 Specimen Paper?
22 questions with 100 marks in total; Dulwich College allowed 90 minutes for it. It covers Algebra, Fractions, Decimals & Percentages, Geometry — Measurement, Geometry — Shape, Number & Place Value, Probability, Ratio & Proportion, Statistics & Data. Dulwich College 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 Dulwich College 13+ Maths paper?
Dulwich College printed an allowance of 90 minutes on this paper. The paper carries 100 marks, roughly 54 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 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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