Test Yourself with UKCAT Quantitative Reasoning Practice Questions:

Do you know the answers or how to best prepare?

UKCAT, the United Kingdom Clinical Aptitude Test, is designed to challenge students wishing to apply to study medicine at University. One of the main sections within the test is the UKCAT Quantitative Reasoning practice questions.

Within the two-hour computer-based exam, you will be tested on a variety of skills. For the ukcat quantitative reasoning (that’s section three of the exam), a student’s mathematical knowledge is in question. Whilst this stage usually involves intellectually straightforward question, they can also be quite complex and include multi-stage calculations. Remember that questions must be answered against the clock. In fact, there is a total of 24 minutes to complete 36 questions (with an additional minute to read the instructions)!


What Does this Section Really Test?

The reason for testing a student’s quantitative reasoning skills lies in the fact that it is expected of medical professionals to be able to evaluate and interpret data. As well as be able to perform relevant calculations on them. For a future in the medical industry, this is a key requirement.

Whilst the questions themselves differ, they all involve some aspect of interpreting a numerical data source and ask applicants to perform calculations to provide solutions to a problem. For those who have a natural talent with numbers, this section shouldn’t be a problem.

Applicants ARE NOT tested on advanced mathematics so there’s no worry for those who haven’t taken it to A-Level.

Common questions usually involve food menus, timetables, sales figures, surveys and more.

For each question, there will be a possible five answers from which applicants are expected to select the right one.


Preparing for the UKCAT

You know how the saying goes… “practice makes perfect” and the same can definitely be said for the ukcat. Good preparation and practice will certainly give applicants a chance to improve their scores. Particularly, with regards to the ukcat quantitative reasoning section where the questions may seem unfamiliar in style. However, by working through example questions, applicants will be able to hone their exam technique, improve their accuracy and ensure readiness for the timing aspect of the test.

The more practice a student gets before the test the more confident, competent, and quick(!) they will be at answering the questions.


Here are just a few of our top tips to get started with:

  • Get comfortable with the on-screen calculator
  • Practice common questions styles
  • Become familiar with the format of diagrams
  • Practice mental speed arithmetic’s
  • Make estimations at first glance
  • Flag difficult questions
  • Pace yourself- but don’t take too long! Move on if you don’t know the answer.
  • Read the questions first – Carefully!

Other UKCAT top tips and tricks can be found following this link >>>

Let’s look at some UKCAT Quantitative Reasoning Practice Questions:

The following  UKCAT Quantitative Reasoning Practice Questions are taken from The Ultimate UKCAT Guide: 1000 Practice Questions

Whilst improving your technique for the ukcat test is important, it’s even more important to put those techniques into practice by going through as many ukcat Practice Questions as you can get your hands on. Doing these practice questions under strict time conditions will also give you a better idea of your ability to perform under time pressure.

Example 1:

The fictional drug, Cordrazine, is used to treat four separate conditions. The following table gives the amount to use in each case to treat the condition. For every kilogram you weigh, you take x mg of the drug.


Over the course of treatment, John, an 80kg male, takes 26.88 grams of the drug. Which disease was he prescribed the drug for?

  1. Black Trump Virus
  2. Swamp Fever
  3. Yellow Tick
  4. Red Rage


To work out the answer to this question, applicants should first calculate the amount of drug taken by John for each disease.

For example, Black Trump Virus = 4 mg x 80kg x 3 times a day x28 days =26.88 g

Once the calculations have been done for all, you will see that  Black Trump Virus is the correct answer. However, use common sense as well. As Swamp Fever had a much lower dosage than all the others this could also be discounted when going through the calculations.

Example 2:

A bakery sells four varieties of cakes. The cakes contain the following ingredients:


The cake recipes are scaled up for a larger order. One cake weighs 2.6 kg and contains 625 kg of flour. Which variety of cake is it?

  1. Sponge
  2. Madeira
  3. Pound
  4. Chocolate


To find the answer, applicants must find the cake in which the sponge is 2,600/mass of the cake and the flour is 625/mass in the cake. They should start by seeing which cake (when multiplying the sponge and flour figures) equals these amounts. When multiplying the sponge cake by 5, for example, we get 2,600g and 625g of flour which means this is the correct answer.

Example 3:

The table below shows the number of books sold by a bookshop in one day:


Non-fiction books cost, on average, £10, and fiction books cost, an average, £6. What percentage of the shop’s revenue (excluding the author’s visit event which took place that evening) came from non-fiction books?

  1. 10%
  2. 13%
  3. 19%
  4. 23%


To answer this question, students must first calculate the different revenues for both fiction and non-fiction books. Do this by adding the two figures for below and above 18 together for each respective genre and multiplying it by their costs (given in the question). Then they must work out the percentage that came from non-fiction by using the following calculation: [non-fiction revenue]/([fiction revenue + non-fiction revenue) = 13%.


If you want to learn more about the other sections of the UCKAT, read here to discover the test format >>>

Further examples and mock papers

The questions provided are just a few examples of the types of ukcat quantitative reasoning questions to be expected in the exam. It is common that applicants will be provided a table or figures that will be used for multiple questions rather than just the one question as is presented here. So students should be ready to use a range of calculations for one set of figures.

For further mock papers to get Quantitative Reasoning practice, look into our UKCAT Practice Papers Volume 1 and 2 or discover and sign up to a UKCAT test tuition course with UniAdmissions.