Free UCAT (UKCAT) Quantitative Reasoning Practice Questions

Test your ability to solve numerical and data problems

Try our tough Quantitative Reasoning questions and see if you can answer them correctly.

You are allowed the use of a calculator during this section of the test, but you may find it benificial to memorise common formulae (eg: percentage change, mean, speed, etc) to improve your pace.

For further practice, sign up for our Free Online UCAT Practice Test, where you get to experience test-like conditions.

Want to practice another section of the UCAT?

You scored: 0 out of 4

See answers and explanations

Next Steps

Free Online UCAT Practice Test

Looking for more free practice? Take our short test under exam-like conditions.

Learn More
Further information

Learn all about the UCAT including key dates, fees and how the test is scored.

Learn More
UCAT Prep Courses

Don't just practice, prepare. We offer a range of courses to suit your study style.

Learn More
×

Status message

Click Show Details for answers and explanations

Quantitative Reasoning

Subtest length: 36 questions (9 sets of 4 questions)
Subtest timing: 24 minutes (2 minutes per set)

Sample length: 4 questions
Sample timing: 2 minutes

Question DetailShow Details

The total cost of hiring certain types of helicopters for certain numbers of hours is given in the table. Total cost equals the deposit plus the hourly rate per hour for the number of hours required. Some information has been omitted from the table.

Type Hours Deposit Hourly Rate Total Cost
A 3 £120 £225 £795
B 5 £300 --- £2,500
C 6 --- £495 £3,300
D 7 £575 £525 ---
E 10 --- £575 £6,750
Question 1Show Details

Andre’s total cost of hiring a Type D helicopter was £2,675. What was the total time (in hours) for which he hired the helicopter?






Question 2Show Details

If the deposit for Type E helicopters increases by 30% on Saturdays, what is the total cost of hiring a Type E helicopter for 3 hours on a Saturday?






Question 3Show Details

Rupali hired a Type B helicopter for 2 hours on Thursday and a Type A helicopter for 6 hours on Friday. By how much does Rupali’s total cost of renting a helicopter increase from Thursday to Friday?






Question 4Show Details

The total cost of hiring a Type F helicopter is £1430 per hour. If Type F helicopters have the same deposit as Type C helicopters, what is the ratio of the hourly rate for a Type C helicopter to the hourly rate for a Type F helicopter?






UCAT® Question Bank

Access 2000+ practice questions including 3 practice tests and customisable quizzes.

Learn More

Related Blog Posts

UKCAT name change to UCAT: what does this mean for future medics?

Last week, the UKCAT Consortium announced news about the UCAT (University Clinical Aptitude Test), which the group of... Read More

My UCAT preparation journey: Aarya Deshpande

With 30 days to go until my UCAT exam, I am studying for about 2 hours every day. Read on to find out how I have been... Read More

My UCAT preparation journey: Hannah Weatherstone

Regarded by many as one of the most daunting hurdles to overcome, the UCAT can be a scary thought to all aspiring... Read More

What I wish I knew before applying to medical school

Applying to medical school can be a daunting process. From taking the UCAT and/or BMAT, to writing your personal... Read More