EPSO-Style Numerical Reasoning — Ratios (Advanced)
Instructions
You will be presented with 10 ratio & proportion questions.
Your task is to analyse the information carefully and select the correct answer.
- Only one answer option is correct per question.
- You have 20 minutes to complete all 10 questions.
- You may use the onscreen calculator and the scratchpad for note-taking.
When ready, proceed using the button below.
Pro Tip — Ratios in 10 seconds
Always convert a ratio to total parts first. Then either:
- Find one part (Total ÷ parts), or
- Turn it into a fraction (e.g. 3:5 → 3/8 and 5/8).
Most wrong answers come from using the wrong denominator (end value instead of start / wrong “whole”).
Quiz Summary
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Question 1 of 10
1. Question
EU Delegation Fleet
An EU Delegation operates cars and vans in a ratio of 3:2. There are 125 vehicles in total.
Question: How many vans are there?
Calculator:
CorrectIncorrectHint
- Convert the ratio into total parts.
- Find the value of 1 part.
- Multiply by the parts you need.
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Question 2 of 10
2. Question
Humanitarian Budget Split
A humanitarian envelope of €2.2 million is split between water and shelter assistance in the ratio 4:7.
Question: How much is allocated to water assistance?
Calculator:
CorrectIncorrectHint
- Convert the ratio into total parts.
- Find the value of 1 part.
- Multiply by the parts you need.
-
Question 3 of 10
3. Question
Staff Ratio After Recruitment
In a unit, the ratio of IT staff to policy staff is 5:4. After hiring 18 IT staff (policy staff unchanged), the ratio becomes 11:7.
Question: How many staff were in the unit before the recruitment?
Calculator:
CorrectIncorrectHint
- Convert the ratio into total parts.
- Find the value of 1 part.
- Multiply by the parts you need.
-
Question 4 of 10
4. Question
Device Procurement
A service procures laptops, tablets and phones in the ratio 6:3:1. The total number of items procured is 500.
Question: How many phones are procured?
Calculator:
CorrectIncorrectHint
- Convert the ratio into total parts.
- Find the value of 1 part.
- Multiply by the parts you need.
-
Question 5 of 10
5. Question
Regional Funding Envelope
Funding is allocated to Regions A, B and C in the ratio 2:5:3. Region B receives €1.5 billion.
Question: What is the total funding across all three regions?
Calculator:
CorrectIncorrectHint
- Convert the ratio into total parts.
- Find the value of 1 part.
- Multiply by the parts you need.
-
Question 6 of 10
6. Question
Refugee Caseload Distribution
Two neighbouring host countries support refugees in the ratio 7:9. Together they support 64,000 refugees.
Question: Approximately how many refugees are hosted by the second country (the “9” part)?
Calculator:
CorrectIncorrectHint
- Convert the ratio into total parts.
- Find the value of 1 part.
- Multiply by the parts you need.
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Question 7 of 10
7. Question
Turning a Statement into a Ratio
For two indicators A and B: A is 25% higher than B.
Question: What is the ratio A:B in simplest form?
Calculator:
CorrectIncorrectHint
- Convert the ratio into total parts.
- Find the value of 1 part.
- Multiply by the parts you need.
-
Question 8 of 10
8. Question
Currency Exchange (Ratio)
At a kiosk, the ratio of EUR paid to USD received is 5:6. A traveller pays €1,250.
Question: How many USD are received?
Calculator:
CorrectIncorrectHint
- Convert the ratio into total parts.
- Find the value of 1 part.
- Multiply by the parts you need.
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Question 9 of 10
9. Question
Deliveries Compared
Two suppliers deliver protective masks in the ratio 3:5 (Supplier 1 : Supplier 2). Supplier 1 delivered 4,800 fewer masks than Supplier 2.
Question: How many masks were delivered in total?
Calculator:
CorrectIncorrectHint
- Convert the ratio into total parts.
- Find the value of 1 part.
- Multiply by the parts you need.
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Question 10 of 10
10. Question
Ratio After Removing Items
Food parcels for Camps A and B are stored in the ratio 5:3. After sending 800 parcels to Camp A only, the ratio becomes 3:2.
Question: How many parcels were there in total before the shipment?
Calculator:
CorrectIncorrectHint
- Convert the ratio into total parts.
- Find the value of 1 part.
- Multiply by the parts you need.
