UCAT ANZ Quantitative Reasoning gives you 36 questions in 26 minutes, which is about 43 seconds each. The maths isn't hard. It's roughly what you did in Years 9 and 10: percentages, rates, averages, ratios and reading tables. What makes it hard is doing it accurately, from a chart you haven't seen before, in under a minute.
In 2026, QR had the highest average of the three cognitive subtests, a mean of 691 against a median of 680, and the widest spread, with a 90th percentile of 880. So there's a lot to gain from getting quick. Here's how.
What the questions look like
According to the official format, QR tests problem solving with numbers more than pure calculation, and questions usually refer to charts, tables and graphs. You get an on-screen calculator. Most data sets come with several questions, so the time you spend understanding a table pays off across the set.
Read the whole question before you calculate
The most common QR mistake is answering a slightly different question from the one asked. Before touching the calculator, check:
- the units the answer needs (minutes or hours, dollars or cents, percent or a number)
- whether it asks for an increase, a new total, or a percentage
- which row or column, and which year or category
Worked examples
These are the patterns that come up again and again. We wrote these examples for practice.
Percentage change
A price goes from $40 to $46. The change is $6, and $6 / $40 = 0.15, so it's a 15 percent increase. Always divide by the original value, not the new one.
Reverse percentages
After a 20 percent discount, a jacket costs $64. What was the original price? The sale price is 80 percent of the original, so the original is 64 / 0.8 = $80. The trap is working out 64 x 1.2 = $76.80, which is wrong because the 20 percent was taken off the original, not the sale price.
"More than" wording
"200 percent more than 50" means 50 + (2 x 50) = 150, or three times as much. "200 percent of 50" is 100. Watch the wording.
Weighted averages
Class A has 20 students with an average mark of 70. Class B has 30 students with an average of 80. The combined average isn't 75. It's (20 x 70 + 30 x 80) / 50 = (1,400 + 2,400) / 50 = 76, because Class B has more students.
Speed, distance and time
A car travels 150 km in 1 hour 15 minutes. Convert the time first: 1 hour 15 minutes is 1.25 hours. Speed is 150 / 1.25 = 120 km/h. To convert km/h to m/s, divide by 3.6, so 120 km/h is about 33.3 m/s.
Reading a table
A clinic saw 40 patients on Wednesday, and 14 were new. What percentage were new? 14 / 40 = 0.35, so 35 percent. Simple, but under time it's easy to grab the wrong row, so put your finger, or your cursor, on the right one.
Get fast on the calculator
The on-screen calculator is basic, and it's slower than the one you're used to. People who practise only with their phone or a scientific calculator lose time on test day.
- Practise with a basic on-screen calculator, using the number pad on your keyboard if you can.
- Learn the memory keys. M+ adds the number on screen to memory, M- subtracts it, and MRC recalls it. They save you writing down intermediate answers for multi-step questions.
- Don't use the calculator for everything. If the answer options are far apart, estimate. For example, if the options are 12, 48, 120 and 480, rounding is usually enough to pick one.
The official practice tests on the UCAT ANZ website use the test's own calculator, so do some of your practice there.
Flag the long ones
Every QR question is worth the same. If a question needs more than about three calculations, or you can't see how to start within ten seconds, put in a quick guess, flag it, and move on. Come back at the end if there's time. There's no negative marking, so never leave one blank.
A rough pacing check is about 9 questions done every 6 and a half minutes. If you're well behind that, start flagging more aggressively.
Know a few formulas cold
You won't be given formulas, so make sure these are automatic:
- speed = distance / time
- percentage change = change / original x 100
- area of a rectangle, triangle and circle (pi x r squared), and circumference (2 x pi x r)
- volume of a cuboid and a cylinder
- unit conversions: 1 m = 100 cm, 1 km = 1,000 m, 1 hour = 60 minutes, 1 litre = 1,000 mL
For a plan to fit QR practice around HSFY, see when to start UCAT ANZ prep. And if you want to see what your current score means, our post on 2026 UCAT ANZ scores has the percentile table.
FAQ
Is UCAT Quantitative Reasoning hard?
The maths is mostly Year 9 and 10 level. The difficulty is speed: about 43 seconds a question, often from unfamiliar charts.
What is a good QR score in UCAT ANZ?
In 2026 the median was 680, the 80th percentile 820 and the 90th percentile 880.
Can I use my own calculator?
No. You use the on-screen calculator provided in the test, so practise with a similar basic one.
If you want timed QR sets with an on-screen calculator like the real test, see how Cutline UCAT practice works.
Cutline is not affiliated with or endorsed by the UCAT ANZ Consortium. UCAT is used here only to describe the test. Format and statistics are from ucat.edu.au, checked 8 October 2026. The worked examples were written by Cutline for practice.
