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Application Guide 2025:
UCAT
UCAT Quantitative Reasoning 2025
Medicine Admissions Expert
Introduction
This section requires you to solve problems with numerical skills. It is less focused on mathematical problems, and more on problem-solving and interpreting data quickly.
Despite the time pressure, plan and practice lots of UCAT quantitative reasoning questions to boost your score.
Practising Quantitative Reasoning questions and working with our UCAT Tutors will help you learn the best quantitative reasoning strategies.
👉🏻 Read more: The Ultimate UCAT Guide 2025
👉🏻 Read more: Top Tips For UCAT Quantitative Reasoning
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What Is UCAT Quantitative Reasoning?
The UCAT Quantitative Reasoning subtest assesses your ability to use numerical skills to solve problems. It assumes familiarity with numbers to the standard of a good pass at GCSE. However, items are less to do with numerical ability and more to do with problem-solving (i.e. knowing what information to use and how to manipulate it using simple calculations and ratios).
The UKCAT Quantitative Reasoning Questions measures reasoning using numbers as a vehicle rather than measuring a facility with numbers. Here you have 26 minutes (including two minutes for instructions (new in UCAT 2025)) to answer 36 questions that are associated with tables, charts and graphs.
👉🏻 Read more: UCAT Preparation 2025 - The Ultimate Guide
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Why Include UCAT Quantitative Reasoning?
Doctors and dentists are constantly required to look at data, review it and apply it to their practice. On a practical level drug calculations based on patient weight, age and other factors have to be correct when prescribing. This is tested again at medical school and dental school.
At a more advanced level, medical and dental research requires an ability to interpret, critique, and apply results to solve problems.
Universities considering applicants need to know they have the aptitude to cope in these situations. You have an on-screen calculator to use, which is important in the UKCAT quantitative reasoning.
Remember - contact our UCAT tutors to help boost your scores!
👉🏻 Read more: UCAT Reflective Revision - the most important UCAT Tip
👉🏻 Read more: UCAT Burnout - How To Avoid It
👉🏻 Read more: UCAT Revision Timetable - how to create one
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UKCAT Quantitative Reasoning Topics
UKCAT Quantitative Reasoning Topics
Several common topics come up in the QR section of the UCAT:
Written text, with no diagrams
Tables
Charts (including Venn diagrams, pie charts, 3D charts)
Graphs
2D and 3D shapes, often depicting a visual space (eg a room)
Diagrams
UCAT Quantitative Reasoning (QR) formulas
Some key UCAT Quantitative Reasoning formulae that you must know:
Area = Length x Width
Area of a Triangle = 1/2 x base x height
Speed = Distance / Time
Area of a circle = Pi x r^2
Circumference = Pi x Diameter .. or .. Pi x 2 x radius
Length – 1km = 1000m; 1m = 100cm; 1cm = 10mm
Weight – 1kg = 1000g;
Volume – 1L = 1000cm3
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How long do I have to answer UCAT quantitative reasoning questions?
26 minutes (with 2 minutes of instructions) to answer 36 questions in the UCAT Quantitative Reasoning subtest. In terms of time per quantitative reasoning question, you have 43 seconds per question.
👉🏻 Read more: How UK Universities Use Your UCAT Score
👉🏻 Read more: UCAT Medical Schools - UCAT Cut Off Scores
👉🏻 Read more: UCAT Cut Off Scores 2026 Entry
Here are the other UCAT sections:
👉🏻 Read more: UCAT Verbal Reasoning
👉🏻 Read more: UCAT Abstract Reasoning
👉🏻 Read more: UCAT Quantitative Reasoning
👉🏻 Read more: UCAT Decision Making
👉🏻 Read more: UCAT Situational Judgement
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Maximum UCAT Quantitative Reasoning Score
Maximum UCAT quantitative reasoning score: 900
Minimum UCAT quantitative reasoning score: 300
👉🏻 Read more: UCAT Scores 2025 - The Ultimate Guide
👉🏻 Read more: UCAT Deciles 2025 - Everything You Need To Know
👉🏻 Read more: UCAT Score Calculator - For When You Are Practicing UCAT Questions
👉🏻 Read more: UKCAT Key Dates in 2025
👉🏻 Read more: UCAT Registration 2025 - The Ultimate Guide
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Average UCAT Quantitative Reasoning Score
The average UCAT quantitative reasoning score over the last four years is 612.
👉🏻 Read more: Top Tips For UCAT Quantitative Reasoning
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UCAT On-Screen Calculator Shortcuts
Using the UCAT Quantitative Reasoning on-screen calculator effectively will help to boost your chances of obtaining a good score in the quantitative reasoning section. However, if you use it badly, you may increase the length of time spent on each question, and result in a lower average UCAT score. Remember, you cannot take a physical calculator to your UCAT exam.
There are three ways to use the on-screen UCAT calculator:
Mouse - All of the UCAT Test Centres have a mouse that you can use to click on the buttons of the UCAT Calculator. This can be used at home easily, however, this is the slowest way to use the calculator.
Keyboard - this is provided at all UCAT venues on test day, and it will always have a number pad on the right-hand side of the keyboard. It is paramount that you practice using the keyboard at home. Do not use the long row of numbers at the top of your keyboard. Use the numerical keypad on the right-hand side of the keyboard. For most people, these keyboard shortcuts are the fastest way of inputting numbers into the UCAT on-screen calculator.
Touch Screen - this is only available if you use a touch screen computer/laptop at home, and will be sitting the UCAT exam at home. As such, this is not useful for most people.
Tips for using the on-screen UCAT Calculator, as taught in our UCAT Courses:
Write down key numbers onto your whiteboard or save them using the memory buttons M+ function - this allows you to save the number on the calculator.
Always use the keyboard to input numbers and make sure you practice this in timed conditions.
You may need to redo calculations - that is normal and that is okay
We recommend practising with a basic calculator to help get used to this and using the memory recall functions.
👉🏻 Read more: Top Tips For UCAT Verbal Reasoning
👉🏻 Read more: Top Tips For UCAT Abstract Reasoning
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What are the UCAT quantitative reasoning questions like?
All questions in the UKCAT quantitative reasoning subtest follow a similar structure. You are required to solve problems by extracting relevant information from tables and other numerical questions.
Almost all questions will have one piece of data, after which there will be four questions set on it.
However, there may be some data sets that only have one associated question. There will always be five answer options per question, you must select the best option. Throughout this section, you may use the simple on-screen calculator.
It is worth getting used to this during your quantitative reasoning ucat practice. Make sure that you practice using this beforehand. This also applies to the UCAT in Australia and New Zealand.
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Example Quantitative Reasoning UCAT Question
Mike and Sarah are buying a house together. On the ground floor, there are two receptions rooms (3 × 6 metres) and (4 × 7 metres), a kitchen-diner (5 × 4 metres) and a hallway. The hallway is a quarter of the size of the largest reception room.
After buying the house, they build a semi-circular conservatory extension to the kitchen, increasing the overall area of the kitchen by 50%. To the nearest half metre, what is the diameter of the conservatory?
A. 2.5 metres B. 3 metres C. 5 metres D. 6 metres E. Can’t Tell
ANSWER C – 5 metres The current kitchen is 20 metres2, so the area of the conservatory is 10 metres^2.
The area of a semicircle is: (πr^2)/2. Therefore (πr^2)/2 = 10.
This gives πr^2 = 20. r^2 = 20/π = 6.37. Therefore r = √6.37 = 2.5 metres.
Remember the diameter is twice the radius, therefore the diameter is 5 metres.
👉🏻 Read more: Top Tips For UCAT Verbal Reasoning
👉🏻 Read more: Top Tips For UCAT Abstract Reasoning
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UCAT Quantitative Reasoning Tips
Top 10 Quantitative Reasoning UCAT Tips for 2025 as taught in our UCAT courses and in our 1-1 UCAT Tutoring:
Timing is the most important in this section - make sure that you pace yourself. Use different milestones throughout the test to ensure that you always know roughly how you are doing. In 2017 almost 20% of candidates failed to answer every question in the UKCAT quantitative reasoning section.
Make sure that you read questions slowly, sometimes individual words and units will be crucial to answering the question. Miss these, and you risk getting the question wrong.
It is worth spending a bit of extra time initially understanding and analyzing the scenario presented, this will help you focus on the questions, and have a good chance of answering questions correctly.
Remember to learn the ukcat calculator shortcuts as detailed above, this saves you lots of time!
You may use the laminated board and permanent marker pen to help where and if necessary.
Some of the most common questions that come up include topics such as probability, Venn diagrams, percentages, averages, ratios, and fractions. Practice these on the on-screen calculator when going through ucat question banks.
Use the flag option if you need to, if you find a question hard, guess it and move on.
It is worth practising your mental arithmetic beforehand, as the quicker you are, the better you will be at the exam.
Remember to contact our UCAT Tutors to find out more about how we can boost this score.
👉🏻 Read more: Top Tips For UCAT Quantitative Reasoning
👉🏻 Read more: Where To Apply With A Low UCAT Score (2025)
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