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.

Test your ability to solve numerical and data problems by critically evaluating various numerical data sets. You are permitted to use a calculator during this section of the UCAT (UKCAT) but you may find it beneficial to memorise common formulae (eg. percentage change, mean, speed etc.) in order to improve your pace.

This section consists of 36 questions with just 25 minutes to answer and read the instructions, so quick maths is definitely needed. Use the answers and tips available with every question monitor your performance!

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Quantitative Reasoning Practice Questions

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?






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