Key Facts
| Questions and time | 36 questions in 26 minutes, after a 2 minute instruction section |
|---|---|
| Scoring | One mark per question, no negative marking; scaled score from 300 to 900; 2026 mean 675 |
| Tools | Basic on-screen calculator without scientific functions; A4 laminated notebook and pen |
Figures correct at the time of writing. Confirm current fees and deadlines with the school or university directly.
UCAT Quantitative Reasoning tests whether a candidate can use numerical information to solve problems, usually from tables, charts and short scenarios. The subtest has 36 questions in 26 minutes, about 43 seconds per question, with a basic on-screen calculator. The mathematics rarely goes beyond GCSE level, and the difficulty lies in picking out the right figures quickly and avoiding the traps that the options are built around. Below are the common calculation types, an original data set with worked questions and methods for working at speed.
How Quantitative Reasoning works
The UCAT Consortium describes the subtest as being less about numerical facility and more about problem solving, with questions that most often refer to charts and graphs. Questions usually come in sets that share one table or chart, so time spent understanding the data at the start of a set pays back across several questions.
| Feature | Detail |
|---|---|
| Questions | 36 |
| Time | 26 minutes, after a 2 minute instruction section |
| Format | Multiple choice, mostly in sets based on one table, chart or scenario |
| Marking | One mark per question; no negative marking |
| Tools | Basic on-screen calculator without scientific functions; laminated notebook and pen |
| Score | Scaled from 300 to 900 |
The calculations that come up most
Most questions draw on a small set of skills, and fluency in each is the foundation for speed:
- Percentages: percentage of a total, percentage change, and reversing a percentage change to find the original value.
- Ratios and proportion: splitting an amount in a ratio, scaling a recipe or dose.
- Rates: speed, distance and time, and unit rates such as cost per item.
- Averages: mean, and working back from a mean to a missing value.
- Units and conversions: time in hours and minutes, metric units, and currency at a stated rate.
- Area and volume: of simple shapes, often in a practical setting.
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The table and questions below were written for this guide in the style of the subtest.
| Month | Adults | Children | Total |
|---|---|---|---|
| January | 1,240 | 310 | 1,550 |
| February | 1,180 | 270 | 1,450 |
| March | 1,320 | 330 | 1,650 |
Question 1. What percentage of the prescriptions dispensed in February were for children, to one decimal place?
"A. 17.2% B. 18.6% C. 20.0% D. 22.9% E. 27.0%
Answer: B. 270 ÷ 1,450 = 0.1862, so 18.6%. Option D comes from dividing by the adult figure, 1,180, a common slip when reading across a row.
Question 2. By what percentage did the total number of prescriptions rise from February to March, to one decimal place?
"A. 12.1% B. 13.8% C. 15.0% D. 20.0% E. 200.0%
Answer: B. The rise is 1,650 − 1,450 = 200, and 200 ÷ 1,450 = 0.1379, so 13.8%. Option A divides by the March figure, which gives the fall from March back to February.
Question 3. A child's dose of a medicine is 15 mg per kg of body weight per day, split into three equal doses. How many milligrams are in each dose for a child weighing 18 kg?
"A. 45 mg B. 90 mg C. 135 mg D. 270 mg E. 810 mg
Answer: B. The daily dose is 15 × 18 = 270 mg, and one third of that is 90 mg. Option D is the daily total, which the question does not ask for.
Question 4. A nurse walks 1.2 km between two buildings at an average speed of 4 km an hour. How many minutes does the walk take?
"A. 3 B. 12 C. 18 D. 30 E. 48
Answer: C. Time equals distance divided by speed, so 1.2 ÷ 4 = 0.3 hours, which is 18 minutes. Option D treats 0.3 hours as 30 minutes.
Working at speed
With about 43 seconds per question, most candidates cannot finish every question in full, and several habits help:
- Read the question before the data. Knowing what is needed makes it easier to find the right figures in a large table.
- Estimate before calculating. The options are often far enough apart that an estimate identifies the answer, as in question 2 above, where 200 out of roughly 1,500 is clearly between 13% and 14%.
- Use the calculator for awkward arithmetic only. Simple steps are faster by hand or mentally, and the official practice tests are the place to get used to the calculator and the keyboard shortcuts.
- Flag and move on. A question that will take over a minute should get a best guess and a flag, since every question carries the same single mark.
- Answer everything. There is no negative marking, so a blank answer only loses a possible mark.
Common traps
- The wrong base for a percentage. Percentage change is always calculated from the starting value.
- Units. Answers in minutes when the data is in hours, or in grams when the data is in kilograms, appear among the options.
- An intermediate answer. A figure reached half-way through, such as the daily dose in question 3, is often one of the options.
- Rounding too early. Rounding in the middle of a calculation can move the final answer to a neighbouring option.
A Quantitative Reasoning practice plan
| Week | Focus |
|---|---|
| 1 | Refresh percentages, ratios, rates and conversions with untimed questions |
| 2 | Data sets at about one minute per question; error log by trap type |
| 3 | Sets at about 45 seconds per question; practise estimating and flagging |
| 4 | Full timed subtests from the official practice tests, using the on-screen calculator |
The official question bank and practice tests are on the UCAT website, and the UCAT practice questions page explains how to use them. The UCAT preparation plan fits Quantitative Reasoning practice into the weeks before the test.
Related guides
- UCAT guide: subtests, scoring and how universities use it
- UCAT Decision Making
- UCAT Situational Judgement
- UCAT score converter
- How to apply to UK medical schools
- Super-curricular activities for medicine
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Frequently asked questions
- How many questions are in UCAT Quantitative Reasoning?
- There are 36 questions in 26 minutes, about 43 seconds per question, mostly in sets based on a shared table, chart or scenario.
- What maths is in UCAT Quantitative Reasoning?
- Mostly GCSE-level skills: percentages, ratios, rates, averages, unit conversions, and simple area and volume, applied to data in tables and charts.
- Can you use a calculator in UCAT Quantitative Reasoning?
- Yes. A basic on-screen calculator is available, without scientific functions, and practising with it in the official practice tests saves time on the day.
- How do you get faster at UCAT Quantitative Reasoning?
- Read the question before the data, estimate before calculating, use the calculator only for awkward arithmetic, and flag any question likely to take over a minute.
- Is UCAT Quantitative Reasoning hard?
- The mathematics is rarely beyond GCSE level. The challenge is the time limit and the traps built into the options, such as percentages from the wrong base or answers in the wrong unit.
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