Benenden School — 13+ Maths Scholarship 2023
Benenden School set this 13+ Maths paper in 2023. Hearthprep hosts it as an interactive past paper — 18 questions worth 111 marks in 111 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 Benenden School (2023). 18 questions, 111 marks. Answer interactively with worked solutions. Covers Algebra, Geometry — Shape, Probability, Problem Solving & Logic, Ratio & Proportion, 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
- Benenden School
- Entry level
- 13+
- Subject
- Maths
- Year
- 2023
- Questions
- 18
- Marks
- 111
- Time
- 111 minutes
- Exam board
- ISEB
Topics in this paper
- Algebra
- Geometry — Shape
- Probability
- Problem Solving & Logic
- Ratio & Proportion
- Statistics & Data
Questions in this paper (3 of 18)
- Question 1short answer · 6 marks
A recipe for 8 servings of noodle pudding uses the following ingredients: 125g butter, 250g noodles, 4 eggs, 125g cottage cheese, 80g raisins, 140g sugar. (a) How much of each ingredient would be needed for a party of 32 people? (b) How much of each ingredient would be needed for a different party, of 4 people?
- Question 2short answer · 4 marks
Write an algebraic expression for each of the following: (a) The number of pence in m pounds. (b) The cost of n oranges and three times that number of lemons, when an orange costs 56p and a lemon costs half as much.
- Question 3written answer · 7 marks
The diagram shows a sequence of shapes made from matchsticks. [Pattern 1, Pattern 2 and Pattern 3 are shown. Each shape is a capital 'H' built from unit squares: a left-hand column of 3 squares and a right-hand column of 3 squares, joined across the middle row by a horizontal bar of squares. Pattern 1 has a 1-square bar (7 squares in total), Pattern 2 a 2-square bar (8 squares), Pattern 3 a 3-s…
15 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 Benenden School — 13+ Maths Scholarship 2023?
18 questions worth 111 marks in total, written for 111 minutes. It covers Algebra, Geometry — Shape, Probability, Problem Solving & Logic, Ratio & Proportion, Statistics & Data. Benenden School set it as a 13+ Maths paper.
How long is the Benenden School 13+ Maths paper?
This paper is timed at 111 minutes for 111 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 15 and the marking come with a paid plan.
Where does this Benenden 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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