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 68 marks in 68 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, 68 marks. Answer interactively with worked solutions. Covers Algebra, Fractions, Decimals & Percentages, Geometry — Measurement, Geometry — Shape, Problem Solving & Logic.
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
- 68
- Time
- 68 minutes
- Exam board
- ISEB
Topics in this paper
- Algebra
- Fractions, Decimals & Percentages
- Geometry — Measurement
- Geometry — Shape
- Problem Solving & Logic
Questions in this paper (3 of 12)
- Question 1written answer · 7 marks
a) (i) Subtract (1/2)x - 1 from (1/2)(x - 1) and simplify your answer. (ii) By what must you divide 28a to get 7a? b) Tom correctly solved a pair of simultaneous equations in his maths homework, but parts of the question and his answer have since been obscured by ink blots. question: Solve the simultaneous equations (5/2)x - (3/4)y = 8/3 [ink]x + (1/2)y = 1/12 Tom's correct answer: x = 11/12 an…
- Question 2short answer · 4 marks
The density of steel is 7.85 grams per cubic centimetre. Four thousand identical spherical steel ball bearings together weigh 1.4 kilograms. Find the radius of each ball bearing in millimetres. [A sphere of radius r centimetres has volume (4/3)*pi*r^3 cubic centimetres.]
- Question 3written answer · 5 marks
In 'old money', each pound was divided into 20 shillings and each shilling was divided into 12 pence. In February 1970, a jeweller sold one hundred gold bracelets. The first sixty-eight bracelets were sold at 1 pound, 7 shillings and 6 pence each, but the remainder were sold at a discounted price. His total takings for gold bracelets in February 1970 were 124 pounds and 6 shillings. What percen…
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 68 marks in total, written for 68 minutes. It covers Algebra, Fractions, Decimals & Percentages, Geometry — Measurement, Geometry — Shape, Problem Solving & Logic. Westminster School set it as a 13+ Maths paper.
How long is the Westminster School 13+ Maths paper?
This paper is timed at 68 minutes for 68 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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