Westminster School — 13+ Maths Entrance Exam 2022
Westminster School set this 13+ Maths paper in 2022. Hearthprep hosts it as an interactive past paper — 13 questions worth 60 marks in a 90-minute timed mode, each marked on submission and backed by a step-by-step worked solution. Most 13+ entrance exams are sat between November and January of the year of entry.
Real 13+ Maths paper from Westminster School (2022). 13 questions, 60 marks. Answer interactively with worked solutions. Covers Algebra, Geometry — Shape, Number & Place Value, Ratio & Proportion.
This is the school's own past paper, reproduced here with worked solutions by Hearthprep. 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
- Westminster School
- Entry level
- 13+
- Subject
- Maths
- Year
- 2022
- Questions
- 13
- Marks
- 60
- Time allowed
- 90 minutes
- Updated
- 3 Sept 2026
Topics in this paper
- Algebra
- Geometry — Shape
- Number & Place Value
- Ratio & Proportion
Questions in this paper (3 of 13)
- Question 1short answer · 3 marks
Solve the following simultaneous equations. x + 2y + 3 = 3(x + 5) 3x - 2y + 1 = -3(y + 1)
- Question 2short answer · 3 marks
It takes thirty sandsmiths to make 11,200 grains of sand in sixteen hours. How many sandsmiths does it take to make 14,700 grains of sand in eighteen hours?
- Question 3short answer · 3 marks
The train from London Kings Cross station to Edinburgh Waverley station covers 420 miles and a ticket costs £189. The train from Leeds station to Plymouth station covers 350 miles and a ticket costs £154. Which train journey costs less per mile?
10 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 Westminster School — 13+ Maths Entrance Exam 2022?
13 questions with 60 marks in total; Westminster School allowed 90 minutes for it. It covers Algebra, Geometry — Shape, Number & Place Value, Ratio & Proportion. Westminster School set it as a 13+ Maths paper.
How long is the Westminster School 13+ Maths paper?
Westminster School printed an allowance of 90 minutes on this paper. The paper carries 60 marks, roughly 90 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 10 and the marking come with a paid plan.
Where does this Westminster 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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