King's College School — 11+ Maths Specimen Paper 2020 (Section B)
King's College School published this 11+ Maths specimen paper in 2020 to show the assessment style; it is official school material, not a past paper. Hearthprep makes it interactive — 4 questions worth 22 marks in a 50-minute timed mode, each marked on submission and backed by a step-by-step worked solution.
Real 11+ Maths paper from King's College School (2020). 4 questions, 22 marks. Answer interactively with worked solutions. Covers Algebra, Arithmetic & Operations, Geometry — Shape, Number & Place Value, Statistics & Data.
King's College School published this specimen paper as preparation for its assessment. It is official school material, but not a paper candidates actually sat. Most 11+ 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
- King's College School
- Entry level
- 11+
- Subject
- Maths
- Year
- 2020
- Questions
- 4
- Marks
- 22
- Time allowed
- 50 minutes
- Updated
- 3 Sept 2026
Topics in this paper
- Algebra
- Arithmetic & Operations
- Geometry — Shape
- Number & Place Value
- Statistics & Data
Questions in this paper (3 of 4)
- Question 1written answer · 6 marks
(i) Work out 273 x 23. (ii) Work out 595 / 17. (iii) Write down two multiples of 2001. (iv) Write down two factors of 2001. (v) Find the cost of 31 litres of petrol at 81p per litre. (vi) In a 'third off' sale a bike is sold for £114. How much would it have sold for before the sale?
- Question 2written answer · 6 marks
(i) In 25 minutes, through what angle does the minute hand of a clock pass? (ii) In the diagram AB is a straight line. An angle of 48 degrees and an angle of 3a degrees together lie on the straight line. Calculate the value of angle a degrees. (iii) A square has a perimeter of 96 cm. (a) Calculate the length of one side. (b) Find the area of the square. (c) Give a sketch, not to scale, of a rec…
- Question 3written answer · 5 marks
The pie chart shows the favourite colour of some boys. The four sectors are: red 84 degrees, green 62 degrees, blue 76 degrees, and yellow x degrees. (a) Calculate the value of x. Red is the favourite colour of 126 boys. (b) Calculate the number of boys whose favourite colour is: (i) green; (ii) yellow; (iii) not blue. (c) Calculate the total number of boys.
1 further question in this paper open with any paid plan, along with marking and the worked solutions. See plans.
Frequently asked questions
What is in the King's College School — 11+ Maths Specimen Paper 2020 (Section B)?
4 questions with 22 marks in total; King's College School allowed 50 minutes for it. It covers Algebra, Arithmetic & Operations, Geometry — Shape, Number & Place Value, Statistics & Data. King's College School published this specimen paper as preparation for its assessment. It is official school material, but not a paper candidates actually sat.
How long is the King's College School 11+ Maths paper?
King's College School printed an allowance of 50 minutes on this paper. The paper carries 22 marks, roughly 136 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 1 and the marking come with a paid plan.
Is this a real past paper?
King's College School published this specimen paper as preparation for its assessment. It is official school material, but not a paper candidates actually sat. Use it to time a full mock attempt, then drill whichever topics your child drops marks on.
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