King's College School — 11+ Maths Sample Paper
King's College School published this 11+ Maths sample paper to show the assessment style; it is official school material, not a past paper. Hearthprep makes it interactive — 16 questions worth 61 marks in a 45-minute timed mode, each marked on submission and backed by a step-by-step worked solution. Sit it as a timed mock or drill it question by question.
Real 11+ Maths paper from King's College School. 16 questions, 61 marks. Answer interactively with worked solutions. Covers Algebra, Arithmetic & Operations, Fractions, Decimals & Percentages, Geometry — Shape, Number & Place Value, Ratio & Proportion.
King's College School published this sample 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
- Undated
- Questions
- 16
- Marks
- 61
- Timed mode
- 45 minutes
- Updated
- 7 Sept 2026
Topics in this paper
- Algebra
- Arithmetic & Operations
- Fractions, Decimals & Percentages
- Geometry — Shape
- Number & Place Value
- Ratio & Proportion
Questions in this paper (3 of 16)
- Question 1short answer · 4 marks
Work out the following, showing all your working. a) Bobby was given some money for his birthday. He decided to buy a calendar for £6.97 and a ball for £2.99. How much did he spend? b) He has £5.04 left in his wallet. How much did he originally have in his wallet? c) Multiply together 293 and 74. d) Divide 9380 by 35.
- Question 2short answer · 6 marks
Solve each of these equations below to find the value of x. a) x - 4 = 17; b) 5x = 55; c) x/10 = 6; d) 14 + x = 23; e) (1/4)x = 7; f) 7x = 37.
- Question 3short answer · 4 marks
Solve the following two step equations, below, to find the value of x. a) 5x - 9 = 6; b) x/5 + 9 = 16; c) 17 = 2 + 3x; d) 7x + 15 = 1.
13 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 King's College School — 11+ Maths Sample Paper?
16 questions with 61 marks in total; Hearthprep's timed mode allows 45 minutes. It covers Algebra, Arithmetic & Operations, Fractions, Decimals & Percentages, Geometry — Shape, Number & Place Value, Ratio & Proportion. King's College School published this sample 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?
This paper's cover carries no time, so Hearthprep's timed mode allows 45 minutes for 61 marks and shows the clock on screen as your child answers. It is our estimate, not King's College School's.
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 13 and the marking come with a paid plan.
Is this a real past paper?
King's College School published this sample 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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