The Grammar School at Leeds — 13+ Maths Sample Paper
The Grammar School at Leeds set this 13+ Maths paper. Hearthprep hosts it as an interactive past paper — 11 questions worth 60 marks in 60 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 The Grammar School at Leeds. 11 questions, 60 marks. Answer interactively with worked solutions. Covers Algebra, Arithmetic & Operations, Fractions, Decimals & Percentages, Number & Place Value, Ratio & Proportion.
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
- The Grammar School at Leeds
- Entry level
- 13+
- Subject
- Maths
- Year
- Undated
- Questions
- 11
- Marks
- 60
- Time
- 60 minutes
- Exam board
- ISEB
Topics in this paper
- Algebra
- Arithmetic & Operations
- Fractions, Decimals & Percentages
- Number & Place Value
- Ratio & Proportion
Questions in this paper (3 of 11)
- Question 1short answer · 3 marks
(a) Write down the first six multiples of 18. (2 marks) (b) Find the Lowest Common Multiple of 12 and 18. (1 mark)
- Question 2short answer · 4 marks
Simplify (a) 3x + 2y + 7x - 4y + 7 (2 marks) (b) 12x^2 + 6x + 3x^2 + 5 - 2x - 4x^2 - 7 (2 marks)
- Question 3short answer · 7 marks
If 600 = 2^3 x 3 x 5^2 and 108 = 2^2 x 3^3 find: (a) The Highest Common Factor (2 marks) (b) The Lowest Common Multiple (2 marks) (c) Write 96 as a product of its prime factors. (3 marks)
8 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 The Grammar School at Leeds — 13+ Maths Sample Paper?
11 questions worth 60 marks in total, written for 60 minutes. It covers Algebra, Arithmetic & Operations, Fractions, Decimals & Percentages, Number & Place Value, Ratio & Proportion. The Grammar School at Leeds set it as a 13+ Maths paper.
How long is the The Grammar School at Leeds 13+ Maths paper?
This paper is timed at 60 minutes for 60 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 8 and the marking come with a paid plan.
Where does this The Grammar School at Leeds 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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