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Shrewsbury School — 16+ Maths Entrance Exam 2024

Shrewsbury School set this 16+ Maths paper in 2024. Hearthprep hosts it as an interactive past paper — 11 questions worth 80 marks in 91 minutes, each marked the moment the paper is submitted and backed by a step-by-step worked solution. Most 16+ entrance exams are sat between November and January of the year of entry.

Real 16+ Maths paper from Shrewsbury School (2024). 11 questions, 80 marks. Answer interactively with worked solutions. Covers Algebra, Fractions, Decimals & Percentages, Geometry — Shape, Probability.

This is the school's own past paper, reproduced here with worked solutions by Hearthprep. Most 16+ 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
Shrewsbury School
Entry level
16+
Subject
Maths
Year
2024
Questions
11
Marks
80
Time
91 minutes
Exam board
ISEB

Topics in this paper

  • Algebra
  • Fractions, Decimals & Percentages
  • Geometry — Shape
  • Probability

Questions in this paper (3 of 11)

  1. Question 1short answer · 4 marks

    Expand and simplify the following expressions: (a) 7(3t + 2u) - 4(5t - 6u) [2]; (b) (5x - 2)(x + 4) [2].

  2. Question 2short answer · 4 marks

    Factorise the following expressions fully: (a) 10ab^2 + 25a^2 b [2]; (b) n^2 + 11n - 26 [2].

  3. Question 3short answer · 8 marks

    You must not use a calculator in this question. Full working must be shown. (a) Evaluate these, giving your answers as mixed numbers in their simplest form: (i) 4 2/7 - 2 4/5 [3]; (ii) 4 2/7 x 2 4/5 [3]. (b) Simplify the following: (6y^10) / (2y^2) [2].

8 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 Shrewsbury School — 16+ Maths Entrance Exam 2024?

11 questions worth 80 marks in total, written for 91 minutes. It covers Algebra, Fractions, Decimals & Percentages, Geometry — Shape, Probability. Shrewsbury School set it as a 16+ Maths paper.

How long is the Shrewsbury School 16+ Maths paper?

This paper is timed at 91 minutes for 80 marks — roughly 68 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 8 and the marking come with a paid plan.

Where does this Shrewsbury 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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