SmartPrep

UCAT — University Clinical Aptitude Test (UK medicine)

UCAT Quantitative Reasoning, Set 1

Take the UCAT Quantitative Reasoning, Set 1: 20 multiple-choice questions (30 minutes) with instant scoring and a full answer review. Covers 20 UCAT…

What this test covers

Sample questions with answers

The first 5 questions of this test, with the correct answer and explanation.

  1. Q1. The bar chart shows patients seen at a clinic each month. How many patients were seen from January to June in total?

    Bar chart of patients seen at a clinic: January 240, February 210, March 270, April 300, May 330, June 285.
    • A. 1635 ✓
    • B. 1600
    • C. 1735
    • D. 1535

    Answer: A. 1635

    Explanation: 240 + 210 + 270 + 300 + 330 + 285 = 1635.

  2. Q2. Using the chart, what was the percentage increase in patients from January to May?

    Bar chart of patients seen at a clinic: January 240, February 210, March 270, April 300, May 330, June 285.
    • A. 37.5% ✓
    • B. 90%
    • C. 27.3%
    • D. 33.3%

    Answer: A. 37.5%

    Explanation: (330 − 240)/240 = 0.375 = 37.5%.

  3. Q3. Using the chart, what was the mean number of patients per month?

    Bar chart of patients seen at a clinic: January 240, February 210, March 270, April 300, May 330, June 285.
    • A. 285
    • B. 300
    • C. 272.5 ✓
    • D. 270

    Answer: C. 272.5

    Explanation: 1635 ÷ 6 = 272.5.

  4. Q4. Using the chart, in which month was the increase from the previous month the largest?

    Bar chart of patients seen at a clinic: January 240, February 210, March 270, April 300, May 330, June 285.
    • A. May
    • B. April
    • C. June
    • D. March ✓

    Answer: D. March

    Explanation: March: +60; April: +30; May: +30; June: −45.

  5. Q5. If the clinic sees 20% more patients in July than in June, how many patients will it see in July?

    Bar chart of patients seen at a clinic: January 240, February 210, March 270, April 300, May 330, June 285.
    • A. 305
    • B. 340
    • C. 350
    • D. 342 ✓

    Answer: D. 342

    Explanation: 285 × 1.2 = 342.

The other 15 questions

Take the timed test (free, no sign-up) to see your score and the answer and explanation for every question.

  1. Q6. The table shows four medicines. Which has the lowest price per tablet?

    Table: medicine A, 30 tablets per pack, £6.00; B, 28 tablets, £5.60; C, 56 tablets, £10.08; D, 100 tablets, £17.00.
    • A. C
    • B. B
    • C. D
    • D. A

  2. Q7. A patient needs 112 tablets of medicine C. How much will this cost?

    Table: medicine A, 30 tablets per pack, £6.00; B, 28 tablets, £5.60; C, 56 tablets, £10.08; D, 100 tablets, £17.00.
    • A. £18.00
    • B. £20.16
    • C. £10.08
    • D. £22.40

  3. Q8. By what percentage is medicine D cheaper per tablet than medicine A?

    Table: medicine A, 30 tablets per pack, £6.00; B, 28 tablets, £5.60; C, 56 tablets, £10.08; D, 100 tablets, £17.00.
    • A. 3%
    • B. 20%
    • C. 15%
    • D. 17%

  4. Q9. Medicine B is offered at 20% off. What is the new price per tablet?

    Table: medicine A, 30 tablets per pack, £6.00; B, 28 tablets, £5.60; C, 56 tablets, £10.08; D, 100 tablets, £17.00.
    • A. £0.18
    • B. £0.20
    • C. £0.14
    • D. £0.16

  5. Q10. How much more does one pack of D cost than one pack of C?

    Table: medicine A, 30 tablets per pack, £6.00; B, 28 tablets, £5.60; C, 56 tablets, £10.08; D, 100 tablets, £17.00.
    • A. £6.08
    • B. £6.92
    • C. £7.08
    • D. £5.92

  6. Q11. A drip delivers 125 ml of fluid per hour. How long will it take to deliver 1 litre?

    • A. 6 hours
    • B. 12.5 hours
    • C. 8 hours
    • D. 10 hours

  7. Q12. A dose of 5 mg per kg of body weight is prescribed. How much should a 64 kg patient receive?

    • A. 64 mg
    • B. 128 mg
    • C. 320 mg
    • D. 300 mg

  8. Q13. A ward has 40 beds and 85% are occupied. How many beds are free?

    • A. 34
    • B. 8
    • C. 5
    • D. 6

  9. Q14. A patient walks 3.2 km. How far is this in metres?

    • A. 320 m
    • B. 32 000 m
    • C. 32 m
    • D. 3200 m

  10. Q15. An ambulance travels 18 km in 15 minutes. What is its average speed in km/h?

    • A. 90 km/h
    • B. 72 km/h
    • C. 27 km/h
    • D. 60 km/h

  11. Q16. A solution is mixed in the ratio 1 part concentrate to 4 parts water. How much concentrate is in 750 ml of solution?

    • A. 600 ml
    • B. 150 ml
    • C. 200 ml
    • D. 187.5 ml

  12. Q17. A clinic's budget rose by 10% one year and fell by 10% the next. Compared with the start, the budget is now:

    • A. 10% lower
    • B. 1% lower
    • C. 1% higher
    • D. The same

  13. Q18. A shift starts at 19:45 and lasts 9 hours 30 minutes. When does it end?

    • A. 05:15
    • B. 04:15
    • C. 05:45
    • D. 06:15

  14. Q19. Three doctors see a mean of 24 patients a day. A fourth doctor joins and the mean becomes 25. How many patients does the fourth doctor see?

    • A. 28
    • B. 25
    • C. 30
    • D. 26

  15. Q20. A textbook costs $45. If £1 = $1.25, how much is the book in pounds?

    • A. £36
    • B. £56.25
    • C. £40
    • D. £35