Bancroft's School — 11+ Maths Sample Paper 2017
Bancroft's School published this 11+ Maths sample paper in 2017 to show the assessment style; it is official school material, not a past paper. Hearthprep makes it interactive — 37 questions worth 140 marks in a 104-minute timed mode, each marked on submission and backed by a step-by-step worked solution.
Real 11+ Maths paper from Bancroft's School (2017). 37 questions, 140 marks. Answer interactively with worked solutions. Covers Algebra, Arithmetic & Operations, Fractions, Decimals & Percentages, Geometry — Measurement, Geometry — Shape, Number & Place Value, Probability, Problem Solving & Logic, Ratio & Proportion, Statistics & Data.
Bancroft's 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
- Bancroft's School
- Entry level
- 11+
- Subject
- Maths
- Year
- 2017
- Questions
- 37
- Marks
- 140
- Timed mode
- 104 minutes
- Updated
- 3 Sept 2026
Topics in this paper
- Algebra
- Arithmetic & Operations
- Fractions, Decimals & Percentages
- Geometry — Measurement
- Geometry — Shape
- Number & Place Value
- Probability
- Problem Solving & Logic
- Ratio & Proportion
- Statistics & Data
Questions in this paper (3 of 37)
- Question 1short answer · 6 marks
Fill in the missing numbers in the boxes: (a) 123 - ? = 78 (b) (24 / 3) + (12 / 12) = ? (c) 18 - ? + 22 = 37 (d) ? x 3 x 2 x 1 = 48 (e) 125 x 4 = 1000 / ? (f) 1.1 + 2.2 + 3.3 + 4.4 = ?
- Question 2short answer · 2 marks
Add together 4867 and 285.
- Question 3short answer · 2 marks
Divide 2412 by 9.
34 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 Bancroft's School — 11+ Maths Sample Paper 2017?
37 questions with 140 marks in total; Hearthprep's timed mode allows 104 minutes. It covers Algebra, Arithmetic & Operations, Fractions, Decimals & Percentages, Geometry — Measurement, Geometry — Shape, Number & Place Value, Probability, Problem Solving & Logic, Ratio & Proportion, Statistics & Data. Bancroft's 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 Bancroft's School 11+ Maths paper?
This paper's cover carries no time, so Hearthprep's timed mode allows 104 minutes for 140 marks and shows the clock on screen as your child answers. It is our estimate, not Bancroft's 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 34 and the marking come with a paid plan.
Is this a real past paper?
Bancroft's 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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