King's College Junior School — 13+ Maths Entrance Exam
King's College Junior School set this 13+ Maths paper. Hearthprep hosts it as an interactive past paper — 14 questions worth 96 marks in 96 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 King's College Junior School. 14 questions, 96 marks. Answer interactively with worked solutions. Covers Algebra, Fractions, Decimals & Percentages, Geometry — Measurement, Geometry — Shape, Number & Place Value, Statistics & Data.
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
- King's College Junior School
- Entry level
- 13+
- Subject
- Maths
- Year
- Undated
- Questions
- 14
- Marks
- 96
- Time
- 96 minutes
- Exam board
- ISEB
Topics in this paper
- Algebra
- Fractions, Decimals & Percentages
- Geometry — Measurement
- Geometry — Shape
- Number & Place Value
- Statistics & Data
Questions in this paper (3 of 14)
- Question 1written answer · 16 marks
a) Multiply out and simplify 6a - 7b - 3(4b - a) b) Factorise completely 16a^2 - 20a c) Solve 6a/7 - 3 = 10 d) Solve (4a - 3)/2 = 5 e) Solve 3(2c - 5) = 8 - 4c f) Solve 5m + 8 < -3 g) List the highest 3 integers for which part f) is true h) Solve 2 > 9 - 5x
- Question 2written answer · 8 marks
a) Rewrite all of the numbers in the following expression correct to 1 significant figure: 154 / (0.1699 x 12.5) b) Calculate your answer to part a) c) Writing down all the figures shown on your calculator, find the value of 154 / (0.1699 x 12.5) d) Write your answer to c) correct to 2 significant figures e) Write your answer to c) correct to 2 decimal places
- Question 3short answer · 2 marks
In this question you are told that 1 mile = 1.6 kilometres. a) Alice runs 6.5 miles. How many kilometres does she run? b) Beth cycles 17.3 kilometres to school. How many miles is this?
11 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 Junior School — 13+ Maths Entrance Exam?
14 questions worth 96 marks in total, written for 96 minutes. It covers Algebra, Fractions, Decimals & Percentages, Geometry — Measurement, Geometry — Shape, Number & Place Value, Statistics & Data. King's College Junior School set it as a 13+ Maths paper.
How long is the King's College Junior School 13+ Maths paper?
This paper is timed at 96 minutes for 96 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 11 and the marking come with a paid plan.
Where does this King's College Junior 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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