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Westminster School — 13+ Maths Scholarship 2022

Westminster School set this 13+ Maths paper in 2022. Hearthprep hosts it as an interactive past paper — 13 questions worth 13 marks in 13 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.

Interactive version of the official Westminster School 13+ Scholarship Mental Maths Challenge from 2022. This paper comprises a Mental Test (5 questions, 30 seconds each) and a Calculation Test (8 questions, 10 minutes). Practise with instant marking and worked solutions. Original PDF also available. Covers Maths at 13+ level.

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
13
Time
13 minutes
Exam board
School-specific

Questions in this paper

  1. Question 1short answer · 1 mark

    Q1 [Mental Test]: If you bought three lollies at sixty-eight pence each, how much change would you get from a five pound note?

  2. Question 2short answer · 1 mark

    Q2 [Mental Test]: What is seventeen, as a percentage of twenty?

  3. Question 3short answer · 1 mark

    Q3 [Mental Test]: Subtract sixty-six from three hundred and twenty-seven.

  4. Question 4short answer · 1 mark

    Q4 [Mental Test]: What is nought point eight squared?

  5. Question 5short answer · 1 mark

    Q5 [Mental Test]: Find the sum of two fifths and two twenty-fifths.

  6. Question 6short answer · 1 mark

    Q1 [Calculation Test]: Calculate 1672 − 518 + 187

  7. Question 7short answer · 1 mark

    Q2 [Calculation Test]: What is the remainder when 3106 is divided by 12?

  8. Question 8short answer · 1 mark

    Q3 [Calculation Test]: Increase 13 by 5%. Give your answer as a decimal.

  9. Question 9short answer · 1 mark

    Q4 [Calculation Test]: Find 156 ÷ 0.12

  10. Question 10short answer · 1 mark

    Q5 [Calculation Test]: Calculate 3 1/7 × 1/2 − 1 3/4

  11. Question 11short answer · 1 mark

    Q6 [Calculation Test]: Write the fraction 1530/2022 in its simplest form.

  12. Question 12short answer · 1 mark

    Q7 [Calculation Test]: A rectangle has area 272 cm² and one side is 16 cm. Find its perimeter.

  13. Question 13short answer · 1 mark

    Q8 [Calculation Test]: Given that 4913 is an exact cube, find its cube root.

Frequently asked questions

What is in the Westminster School — 13+ Maths Scholarship 2022?

13 questions worth 13 marks in total, written for 13 minutes. It covers Maths at 13+ level. Westminster School set it as a 13+ Maths paper.

How long is the Westminster School 13+ Maths paper?

This paper is timed at 13 minutes for 13 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. This paper is free — the whole thing, with marking and solutions, needs no account.

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.

Loading the interactive paper…