Westminster School — 13+ Maths Entrance Exam 2024
Westminster School set this 13+ Maths paper in 2024. Hearthprep hosts it as an interactive past paper — 12 questions worth 58 marks in 58 minutes, each marked the moment the paper is submitted 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 (2024). 12 questions, 58 marks. Answer interactively with worked solutions. Covers Algebra, Geometry — Shape, Probability, Problem Solving & Logic, 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
- 2024
- Questions
- 12
- Marks
- 58
- Time
- 58 minutes
- Exam board
- ISEB
Topics in this paper
- Algebra
- Geometry — Shape
- Probability
- Problem Solving & Logic
- Ratio & Proportion
Questions in this paper (3 of 12)
- Question 1written answer · 5 marks
Solve the following simultaneous equations, giving your answers as mixed fractions. 2a + 5 = 5(a - b) (2a + 5)(b - 4) = (a - 1)(2b + 1)
- Question 2short answer · 4 marks
Twenty perforators can make 3885 pieces of confetti in 51 minutes. How many perforators are needed to make 7511 pieces of confetti in 29 minutes?
- Question 3written answer · 5 marks
A shop sells three sizes of orange juice bottle made by the Innocuous Juice Company: a 0.33 litre bottle costs 1.50 pounds, a 0.9 litre bottle costs 3 pounds and a 1.35 litre bottle costs 4 pounds. The 0.33 litre bottles have the special offer 'three for the price of two' while the other bottles have no special offers. If you have 50 pounds to spend, what is the largest amount of orange juice t…
9 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 2024?
12 questions worth 58 marks in total, written for 58 minutes. It covers Algebra, Geometry — Shape, Probability, Problem Solving & Logic, Ratio & Proportion. Westminster School set it as a 13+ Maths paper.
How long is the Westminster School 13+ Maths paper?
This paper is timed at 58 minutes for 58 marks — roughly 60 seconds a mark. Hearthprep runs the same clock on screen, so your child sees how far through the time they are as they answer.
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 9 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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