Reigate Grammar School — 13+ Maths Sample Paper (Calculator)
Reigate Grammar School published this 13+ Maths sample paper to show the assessment style; it is official school material, not a past paper. Hearthprep makes it interactive — 9 questions worth 47 marks in a 35-minute timed mode, each marked on submission and backed by a step-by-step worked solution. Sit it as a timed mock or drill it question by question.
Real 13+ Maths paper from Reigate Grammar School. 9 questions, 47 marks. Answer interactively with worked solutions. Covers Algebra, Arithmetic & Operations, Fractions, Decimals & Percentages, Geometry — Shape, Ratio & Proportion.
Reigate Grammar School published this sample paper as preparation for its assessment. It is official school material, but not a paper candidates actually sat. 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
- Reigate Grammar School
- Entry level
- 13+
- Subject
- Maths
- Year
- Undated
- Questions
- 9
- Marks
- 47
- Time allowed
- 35 minutes
- Updated
- 3 Sept 2026
Topics in this paper
- Algebra
- Arithmetic & Operations
- Fractions, Decimals & Percentages
- Geometry — Shape
- Ratio & Proportion
Questions in this paper (3 of 9)
- Question 1written answer · 7 marks
Given that a = sqrt(b^3 - 25c), find: a) a when b = 15 and c = 126. b) b when a = -4 and c = 8.
- Question 2short answer · 4 marks
You are given that the volume of a cone is equal to the area of the circular base multiplied by the height and divided by 3. Given that the radius of this base is 4 cm and the height is 8 cm, find the volume of this cone. Round your answer to the nearest whole number.
- Question 3written answer · 5 marks
In Pokemon Go, the cost of an incense and 3 Lure Modules is 290 pokecoins. This information can be written as I + 3L = 290. a) The cost of 3 Incense and 2 Lure Modules is 310 pokecoins. Write down an equation to represent this information. b) Assuming all incense are the same price and all lure modules are the same price, find the cost of each incense and each lure module.
6 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 Reigate Grammar School — 13+ Maths Sample Paper (Calculator)?
9 questions with 47 marks in total; Reigate Grammar School allowed 35 minutes for it. It covers Algebra, Arithmetic & Operations, Fractions, Decimals & Percentages, Geometry — Shape, Ratio & Proportion. Reigate Grammar 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 Reigate Grammar School 13+ Maths paper?
Reigate Grammar School printed an allowance of 35 minutes on this paper. The paper carries 47 marks, roughly 45 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 6 and the marking come with a paid plan.
Is this a real past paper?
Reigate Grammar 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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