Highgate School — 7+ Maths Sample Paper 2020
Highgate School published this 7+ Maths sample paper in 2020 to show the assessment style; it is official school material, not a past paper. Hearthprep makes it interactive — 7 questions worth 15 marks in a 10-minute timed mode, each marked on submission and backed by a step-by-step worked solution.
Real 7+ Maths paper from Highgate School (2020). 7 questions, 15 marks. Answer interactively with worked solutions. Covers Arithmetic & Operations, Fractions, Decimals & Percentages, Number & Place Value, Problem Solving & Logic.
Highgate School published this sample paper as preparation for its assessment. It is official school material, but not a paper candidates actually sat. Most 7+ 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
- 7+
- Subject
- Maths
- Year
- 2020
- Questions
- 7
- Marks
- 15
- Timed mode
- 10 minutes
- Updated
- 3 Sept 2026
Topics in this paper
- Arithmetic & Operations
- Fractions, Decimals & Percentages
- Number & Place Value
- Problem Solving & Logic
Questions in this paper (3 of 7)
- Question 1short answer · 3 marks
Complete the diagrams below showing two more ways to partition 24. Example: 24 is partitioned into 12 and 12. Diagram A: 24 is partitioned into ___ and ___ (both blank). Diagram B: 24 is partitioned into 17 and ___. Fill in the missing numbers to show two different ways to partition 24.
- Question 2short answer · 2 marks
There are fifty marbles in a jar. Nigel takes 19. Sophie takes 23. How many marbles are left?
- Question 3short answer · 2 marks
There were 47 people on a bus. 23 people got off. Then 18 more people got on. How many people are on the bus now?
4 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 — 7+ Maths Sample Paper 2020?
7 questions with 15 marks in total; Hearthprep's timed mode allows 10 minutes. It covers Arithmetic & Operations, Fractions, Decimals & Percentages, Number & Place Value, Problem Solving & Logic. 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 7+ Maths paper?
This paper's cover carries no time, so Hearthprep's timed mode allows 10 minutes for 15 marks and shows the clock on screen as your child answers. It is our estimate, not Highgate 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 4 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.
Loading the interactive paper…