Given the time pressure, we understand why quantitative reasoning is often the section that so many students are apprehensive about.
Having sat my UCAT in 2019, achieving in the top 1% of my cohort, and scoring 880 in QR, here are my top 19 tips to ensure that you are excellently prepared to sit your quantitative reasoning UCAT section!
Check out our free guides to other sections to aid your UCAT preparation, and check out our expert UCAT tutoring services if you need a bit more guidance!
UCAT Quantitative Reasoning Tips Summary:
Get To Know GCSE Maths
Know The Question Types You Will Face
Get To Grips With Compound Interest
How To Expertly Tackle Tax Brackets
Estimate Where Appropriate
Hone Your Mental Maths Skills
Learn The Formulas For Common Shapes
Keep An Eye Out For Sneaky Unit Changes
Practice Using The On-Screen Calculator
Build Muscle Memory For The Numerical Keypad
Keyboard Shortcuts Will Save You Time
Get To Know Your Weaknesses
Reflective Studying
Utilise The Whiteboard
Watch Out For Multi-Step Calculations
Use The Skip Strategically
Answer Every Single Question
Practice To Timed Conditions
Use The Official UCAT Mocks
Quantitative Reasoning Tip 1: Get To Know GCSE Maths
The level of understanding that UCAT examiners expect you to have is that of GCSE Mathematics.
However, we know that not everybody has sat or passed Maths exams, therefore we recommend taking a look at the current curriculum to familiarise yourself with the skills that you’ll be required to demonstrate during your UCAT.
This will also be helpful if you don’t currently take maths at A-level and haven’t used your mathematical skills since secondary school level.
UCAT QR Tip 2: Know The Question Types You Will Face
There are a limited number of question types that the UCAT examiners can give you, so with practice, you can reduce the risk of having an unwanted surprise during the exam!
Being confident with every question type puts you in a strong position to sit your exam, and the only way to reach this position is through regular practice of each question type.
The question types that you might face in the QR subtest of the UCAT exam include:
Speed, distance and time calculations
Percentages
Ratios and proportions
Conversions between units
Probability calculations
Interpretation of tables and diagrams
Geometry questions including volume, area, perimeter
UCAT QR Tip 3: Get To Grips With Compound Interest
One of the hardest types of questions you’ll face in the UCAT is compound interest.
For some students, it might be worth skipping this question, but if you want to score highly, it’s worth revising how to answer these questions before your exam.
Some students are more confident with calculating the interest built up in one year, multiplying this new value by the interest value for the following year until they reach the number of years passed.
However, for larger periods, students might find it more helpful to memorise the formula for compound interest, which will lead them to the correct answer more quickly.
Tip 4: How To Expertly Tackle Tax Brackets In The Quantitative Reasoning Subtest
Tax brackets are yet another one of the UCAT’s most feared QR questions, therefore it’s worth getting to grips with how to answer these questions to maximise your marks.
In your exam, you’ll likely face at least one question where you’re asked to interpret or calculate a value pre- or post-tax.
The most important factor to remember when facing tax questions is that tax isn’t a flat value calculated from what’s been earned. It is calculated in portions.
Income (£)
Rate
Explanation
Example
0 - 12,500
0%
This means that you will pay no tax on the first £12,500 you earn.
Salary = £8,000
Tax paid = 0
Take Home Pay = £8000
12,501 - 50,000
20%
This means that any amount that is earned over £12,500 is taxed at a rate of 20%.
Salary = £42,000
Tax paid =
12500 x 0 = 0
29,500 x 0.2 = 5900
Take Home Pay = £36,100
50,001 - 150,000
40%
This means that any amount earned over £50,000 is taxed at a rate of 40%
Salary = £82,000
Tax paid =
12500 x 0 = 0
37500 x 0.2 = 7500
32000 x 0.4 = 12800
Total tax = £20,300
Take Home Pay = £61,700
Quantitative Reasoning Tip 5: Estimate Where Appropriate
Having strong estimation skills is very beneficial for maximising your speed in this section. However, it’s important to recognise which questions are appropriate and not appropriate to use estimation and approximation.
This can be determined by looking at the closeness of the given answers. If the answers are close together, it shows that you’ve got a very small room for error, therefore through approximation, you’re likely to reach the wrong answer when using round numbers.
However, when appropriate, rounded estimates allow you to quickly eliminate illogical answers and reach the correct answer more quickly.
UCAT QR Tip 6: Use Mental Maths Skills To Save Time
With the time pressures of this subtest, choosing to use the calculator for every question may lead to you running out of time in the exam.
We recommend practising using your mental maths skills as much as possible, such that on the day you are confident in completing simple maths calculations in your head, rather than relying on the calculator.
To help you revise this, we recommend looking over your times tables grids up to 15 and improving recall speed.
One of the common categories of UCAT quantitative reasoning questions involves the use of geometry. In the exam, you likely won’t be given any formulas, so it’s worth learning these in advance.
Shape
Perimeter
Area
Square
4 x side length
(Side length)^2
Rectangle
(2 x length) + (2 x width)
Width x height
Triangle
Addition of side lengths
½ (base x height)
Regular Polygon
Side length x number of sides
½ (number of sides x length of side x distance to middle)
Circle
2πr
πr^2
3D Shape
Surface Area
Volume
Cube
6 x (length of side)^2
(length of side)^3
Prism
2 x base area x side area
Base area x height
Pyramid
Side area x number of sides
⅓ (base area x height)
Sphere
4πr^2
4/3πr^3
Tip 8: Keep An Eye Out For Sneaky Unit Changes
Units are very easy to forget, especially after you’ve already taken several steps to reach an answer, but always double-check the units of your answer compared to the units of the question answers!
Examiners may include the answer pre-unit conversion to trick you out. Read the question carefully after you've chosen an answer to double-check this!
Quantitative Reasoning Tip 9: Practise With The On-Screen Calculator
The on-screen UCAT calculator is notoriously clunky and time-consuming to use, so the earlier that you become familiar with it, the better.
It is guaranteed that you’ll be required to use the UCAT calculator at least once during your exam. Unlike a scientific calculator which you may be used to, the UCAT calculator cannot save any previous answers, nor raise numbers to a power.
Make sure that you practice this!
Tip 10: Build Muscle Memory For The Numerical Keypad
It is well known that students who use a numerical pad to type into the UCAT calculator save time and answer QR UCAT questions faster.
A numerical number pad follows the shape and layout of a number pad on a mobile phone, with 3 rows of 3 numbers, so you must move your fingers less to reach the desired numbers. With practice, this can massively improve your speed in the UCAT QR section and help deal with the time pressure of the exam.
The keyboards in the exam centre where you will take your exam will have a numerical keypad on the right side of the keyboard, therefore it’s worth practising using this if you can.
Several validated keyboard shortcuts work in the UCAT exam software. These are hugely beneficial for increasing your speed.
ALT-N - Next question
ALT-P - Previous question
ALT-C - Open calculator
ALT-F - Flag question
Tip 12: Get To Know Your Weaknesses
Every student revising mathematics will have different strengths and weaknesses, and struggle with different question types.
For instance, when I sat my exam, I knew that I struggled massively with Venn diagram questions if I wasn’t provided with a diagram.
Having insight into your weaknesses is hugely useful for the UCAT, as it highlights which questions might be worth skipping if you’ve got little time left.
Tip 13: Reflective Studying
Reflection is an important and often overlooked part of revision. When doing practice questions, you should be dissecting your incorrect answers until you fully understand the mistakes you have made. Through reflection, you will maximise your learning from practice questions and likely improve your quantitative reasoning score.
In the UCAT, you are provided with a whiteboard to make notes. We recommend that you use the whiteboard mostly in the decision-making and quantitative reasoning sections of the UCAT.
There are various applications in which the whiteboard may be useful for you in QR.
For instance:
Multi-step questions - In these questions, you may need to use a number that you previously calculated to do a further calculation. If this number is easily accessible on your whiteboard, it will save you time. It is sometimes helpful to write bigger numbers as round numbers.
Summarising the question - unfortunately, some UCAT questions contain more text than needed. Writing down important numbers from the question on your whiteboard can help you retrieve important information more quickly when needed. This can take up too much time though!
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With 36 questions and only 24 minutes to answer them, to prepare for the UCAT quantitative reasoning questions, you should become comfortable with answering in just 40 seconds per question.
As discussed, through revision you should begin to identify which questions you find more challenging. As a result, you should begin to learn when to use the “strategic skip”, to avoid spending excessive time on difficult questions.
Given that all questions are worth the same number of marks, you are much better spending time on answering the easier questions correctly, than spending lots of time on a difficult question.
You can always flag these questions and come back later if time permits. In short, answer as many questions as you can, and guess the ones you can't!
Tip 17: Answer Every Single Question
You should attempt to answer every question in the quantitative reasoning topic subtest of the UCAT, even if you are not certain of the correct solution.
Given that the UCAT is not negatively marked, it’s worth choosing your best estimate or approximation, as leaving questions blank will guarantee zero marks.
Number 18: Practice Sample Questions To Timed Conditions
In your quantitative reasoning preparation, it is crucial to practice answering sample questions and mock exams under timed conditions.
This allows you to realistically simulate the time pressure you will face on exam day and improve your pacing, increasing your chances of a high score and success in the UCAT.
Quantitative Reasoning Advice 19: Use The Official UCAT Practice Questions
The UCAT consortium has provided several free official Mock exams and practice questions. These are an invaluable resource to practice quantitative reasoning questions at the same difficulty as the real exam questions.
We recommend sitting these mock exams around a week before your UCAT exam to get a feel for how you would score in the real exam, and highlight any further weaknesses in your quantitative reasoning skills to brush up on before your exam!
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FAQs
Frequently asked questions
What are the best UCAT Quantitative Reasoning tips?
The most effective UCAT QR tips are to master GCSE-level maths, learn the recurring question types, drill mental arithmetic so you rely less on the clunky on-screen calculator, and practise under timed conditions. Use the strategic skip on long multi-step questions, flag and return to them, and answer every question since there is no negative marking.
Is there a calculator in UCAT Quantitative Reasoning?
Yes. You cannot bring your own calculator, but QR has a basic on-screen calculator built into the test software, opened with Alt+C. It is deliberately simple, so practise using the on-screen keypad and your physical numeric keypad in advance. For quick sums, mental maths is usually faster than the calculator.
How many questions are in UCAT Quantitative Reasoning?
Quantitative Reasoning presents sets of questions linked to data such as tables, charts and graphs, and is tightly timed. The exact number of questions and the time allowed are reviewed each cycle, so confirm the current figures on ucat.ac.uk. Whatever the count, aim to spend well under a minute per question and skip the longest calculations if you fall behind.
What is a good UCAT Quantitative Reasoning score?
Each UCAT subtest, including QR, is scored from 300 to 900, with around 600 as the typical average. A score of roughly 700 or above is competitive, and 800+ places you among the strongest candidates. Because QR is one of the higher-scoring sections for many test-takers, a strong QR mark can lift your overall cognitive total out of 2700.
How is UCAT Quantitative Reasoning scored?
QR uses the standard UCAT cognitive scale of 300 to 900. Your raw number of correct answers is converted to this scaled score, and it is combined with Verbal Reasoning and Decision Making to form part of your total out of 2700. There is no negative marking, so wrong answers never cost you points.
How can I get faster at UCAT Quantitative Reasoning?
Speed comes from recognising question types instantly, sharpening mental maths and times tables up to 15, and reserving the on-screen calculator for genuinely awkward sums. Learn the keyboard shortcuts, build muscle memory on the numeric keypad, and practise to strict timed conditions so your pacing becomes automatic on test day.
Is UCAT Quantitative Reasoning negatively marked?
No, the UCAT has no negative marking in any section, including QR. Wrong answers simply score zero, so you should never leave a question blank. If you are running out of time, make an educated guess on every remaining question, as even a random guess gives you a chance of a mark.
What question types appear in UCAT Quantitative Reasoning?
Common QR question types include percentages, ratios and proportions, speed-distance-time, unit conversions, probability, geometry such as area and volume, and interpreting tables, charts and graphs. Compound interest and tax-bracket questions are among the hardest. Knowing each type in advance reduces surprises and lets you decide quickly which questions to attempt first.
Can I go back and change answers in UCAT QR?
Yes, within Quantitative Reasoning you can flag questions and revisit them while you still have time in that section. However, once you finish a subtest and move on, you cannot return to it. Use the flag function on tricky questions, secure the easy marks first, then come back to the harder ones.
How do I tackle UCAT tax bracket questions?
Tax-bracket questions are among the most feared in QR, but the key is remembering that tax is charged in portions, not as a single flat rate on total earnings. Calculate the tax owed within each band separately, then add them together. Practising a few worked examples beforehand makes these much faster on the day.
How long should I prepare for UCAT Quantitative Reasoning?
Most students benefit from several weeks of focused QR practice alongside the other subtests. Begin by revising GCSE maths and question types, then move to timed practice and official UCAT mock exams. Sitting the official mocks about a week before your test date highlights any remaining weak areas to fix before exam day.
Does Quantitative Reasoning count towards my overall UCAT score?
Yes. QR is one of the three cognitive subtests, alongside Verbal Reasoning and Decision Making, that combine into your total cognitive score out of 2700. Situational Judgement is reported separately in bands. Medical schools weight QR differently, but a strong QR performance can meaningfully raise your overall total.
What keyboard shortcuts help in UCAT Quantitative Reasoning?
Several shortcuts save valuable seconds in QR: Alt+N moves to the next question, Alt+P to the previous question, Alt+C opens the calculator, and Alt+F flags a question to revisit. Combined with using the numeric keypad rather than clicking the on-screen buttons, these shortcuts noticeably improve your speed across the section.
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