Highgate School — 11+ Maths Sample Paper 2020
Highgate School published this 11+ Maths sample paper in 2020 to show the assessment style; it is official school material, not a past paper. Hearthprep makes it interactive — 19 questions worth 48 marks in a 45-minute timed mode, each marked on submission and backed by a step-by-step worked solution.
Real 11+ Maths paper from Highgate School (2020). 19 questions, 48 marks. Answer interactively with worked solutions. Covers Algebra, Arithmetic & Operations, Fractions, Decimals & Percentages, Number & Place Value, Ratio & Proportion, Statistics & Data.
Highgate 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
- Highgate School
- Entry level
- 11+
- Subject
- Maths
- Year
- 2020
- Questions
- 19
- Marks
- 48
- Time allowed
- 45 minutes
- Updated
- 3 Sept 2026
Topics in this paper
- Algebra
- Arithmetic & Operations
- Fractions, Decimals & Percentages
- Number & Place Value
- Ratio & Proportion
- Statistics & Data
Questions in this paper (3 of 19)
- Question 1short answer · 2 marks
Remember to include your working to show us how you find your answers. Some vegetables are being sold at a market. a) Delon buys 17 carrots and 6 turnips. Carrots cost 8p each and turnips cost 13p each. How much did Delon spend in total?
- Question 2short answer · 2 marks
Potatoes are only sold in sacks of 12 potatoes. One of these sacks costs 56p. Stanley has £3.20. How many potatoes can Stanley buy, and how much money does he have left over?
- Question 3short answer · 2 marks
Remember to include your working to show us how you find your answers. Some vegetables are being sold at a market. c) Zane buys 16 red peppers, and receives £8.32 change from a £20 note. What is the price of a pepper?
16 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 Highgate School — 11+ Maths Sample Paper 2020?
19 questions with 48 marks in total; Highgate School allowed 45 minutes for it. It covers Algebra, Arithmetic & Operations, Fractions, Decimals & Percentages, Number & Place Value, Ratio & Proportion, Statistics & Data. Highgate 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 Highgate School 11+ Maths paper?
Highgate School printed an allowance of 45 minutes on this paper. The paper carries 48 marks, roughly 56 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 16 and the marking come with a paid plan.
Is this a real past paper?
Highgate 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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