UCAT Quantitative Reasoning free practice questions with answers
Read question 1 and its full worked answer from paper 1 of our 20-paper UCAT Quantitative Reasoning set, then download the 4-page PDF. These are original practice questions, not official past papers. Page updated 3 November 2026.
What percentage of the total sales across all products and quarters was Gloves? (1 dp)
A 96.2%
B 126.0%
C 81.5%
D 25.0%
E 31.5%
[Percentage of a total]
Product
Q1
Q2
Q3
Q4
Scarves
660
500
840
930
Hats
220
260
390
560
Boots
150
660
740
220
Gloves
440
570
890
920
Correct answer: E — 31.5%
- Total for Gloves = 440 + 570 + 890 + 920 = 2820.
- Total for all products = 8950.
- Percentage = 2820 ÷ 8950 × 100 = 31.5%.
- Why the other options are wrong:
- A (96.2%): This divides by the best-selling product's total instead of the grand total.
- B (126.0%): This divides by the average product total instead of the grand total.
- C (81.5%): This divides by the first half-year total only.
- D (25.0%): This assumes each product sells an equal share.
A share of a total is part ÷ whole × 100; make sure the whole is the total of everything, not another part.
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Questions about this sample
What is in the UCAT Quantitative Reasoning free sample?
The first 3 questions from paper 1 of the set, in the real exam layout, followed by the step-by-step worked answers. It is a 4-page PDF; this page shows question 1 with its answer.
How many full UCAT Quantitative Reasoning papers are there?
20 original papers for applicants preparing for the UCAT ANZ. Each is 36 questions in 26 minutes (on-screen calculator allowed), with a worked solution for every question. Papers start at A$19.99 and download instantly as a PDF.
Are these official past papers?
No. The sample is taken from our own original practice paper and is not an official past paper or affiliated with any exam authority.