116+ Free Irish Numerical Reasoning Practice Questions

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Sample Irish Numerical Reasoning Practice Questions

Try these sample questions to test your Irish Numerical Reasoning exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 116+ question experience with AI tutoring.

1A Department of Education budget of €240,000 is distributed as follows: 1/3 goes to science equipment, 1/4 to arts programs, and 1/8 to sports equipment. The remainder is allocated to IT infrastructure. What is the euro amount allocated to IT infrastructure?

A.€70,000

B.€80,000

C.€90,000

D.€100,000

Explanation: The total fraction spent on science, arts, and sports is 1/3 + 1/4 + 1/8 = (8 + 6 + 3) / 24 = 17/24. The fraction remaining for IT is 1 - 17/24 = 7/24. The euro amount is 240,000 * 7 / 24 = €70,000.

2The Health Service Executive (HSE) has 120 nurses on duty. If 3/8 are assigned to the morning shift and 2/5 are assigned to the afternoon shift, and the rest work the night shift, how many nurses are on the night shift?

A.24 nurses

B.27 nurses

C.33 nurses

D.36 nurses

Explanation: Morning shift nurses: 120 * 3/8 = 45. Afternoon shift nurses: 120 * 2/5 = 48. Total morning and afternoon: 45 + 48 = 93. Night shift nurses: 120 - 93 = 27.

3A Dublin Bus route has 80 scheduled runs per day. On a particular Monday, 3/10 of the runs are delayed, 1/20 are cancelled, and the rest run on time. How many runs are on time?

A.48 runs

B.50 runs

C.52 runs

D.54 runs

Explanation: Delayed runs: 80 * 3/10 = 24. Cancelled runs: 80 * 1/20 = 4. Total non-on-time runs: 24 + 4 = 28. On-time runs: 80 - 28 = 52.

4An Post receives 150,000 letters at a sorting center. Machine A sorts 2/5 of the letters, Machine B sorts 1/3 of the letters, and the rest are sorted manually. How many letters are sorted manually?

A.30,000

B.40,000

C.50,000

D.60,000

Explanation: Sorted by Machine A: 150,000 * 2/5 = 60,000. Sorted by Machine B: 150,000 * 1/3 = 50,000. Total sorted by machines: 60,000 + 50,000 = 110,000. Manual sorting: 150,000 - 110,000 = 40,000.

5The Office of Public Works (OPW) has a restoration budget of €1.2 million. Of this, 5/12 is spent on Kilkenny Castle, 1/4 is spent on the Battle of the Boyne site, and the remainder is spent on Clonmacnoise. What amount is spent on Clonmacnoise?

A.€300,000

B.€350,000

C.€400,000

D.€450,000

Explanation: Fraction spent on Kilkenny Castle and Battle of the Boyne: 5/12 + 1/4 = 5/12 + 3/12 = 8/12 = 2/3. Remaining fraction for Clonmacnoise: 1 - 2/3 = 1/3. Amount spent: €1.2 million * 1/3 = €400,000.

6A Teagasc research farm has 360 hectares of land. If 4/9 of the land is used for dairy research, 5/18 is used for tillage research, and the rest is forestry, how many hectares are dedicated to forestry?

A.90 hectares

B.100 hectares

C.110 hectares

D.120 hectares

Explanation: Dairy research: 360 * 4/9 = 160 hectares. Tillage research: 360 * 5/18 = 100 hectares. Forestry: 360 - 160 - 100 = 100 hectares.

7Kildare County Council resurfaced 3/7 of a 42 km road in Week 1, and 2/7 of it in Week 2. How many kilometers of the road remain to be resurfaced?

A.10 km

B.12 km

C.14 km

D.16 km

Explanation: Total fraction resurfaced: 3/7 + 2/7 = 5/7. Remaining fraction to resurface: 1 - 5/7 = 2/7. Remaining kilometers: 42 * 2/7 = 12 km.

8Irish Rail reported 160 delayed train hours in a month. Of these, 3/8 were due to track maintenance, 3/16 were due to signal failure, and the rest were due to weather. How many delayed hours were caused by weather?

A.60 hours

B.65 hours

C.70 hours

D.75 hours

Explanation: Delays due to maintenance: 160 * 3/8 = 60 hours. Delays due to signal failure: 160 * 3/16 = 30 hours. Delays due to weather: 160 - 60 - 30 = 70 hours.

9The Revenue Commissioners processed 45,000 tax returns in a specific district. If 5/9 were filed online by individual taxpayers and 3/10 were filed online by tax agents, and the rest were paper filings, how many paper filings were processed?

A.5,500

B.6,000

C.6,500

D.7,000

Explanation: Online individual filings: 45,000 * 5/9 = 25,000. Online agent filings: 45,000 * 3/10 = 13,500. Total online filings: 25,000 + 13,500 = 38,500. Paper filings: 45,000 - 38,500 = 6,500.

10In a civil service recruitment campaign, 8,000 candidates sat the initial aptitude test. If 3/5 passed the numerical reasoning test, and of those, 3/8 also passed the verbal reasoning test, how many candidates passed both tests?

A.1,500

B.1,800

C.2,100

D.2,400

Explanation: Passed numerical reasoning: 8,000 * 3/5 = 4,800 candidates. Passed both verbal and numerical: 4,800 * 3/8 = 1,800 candidates.

About the Irish Numerical Reasoning Exam

This practice exam covers basic arithmetic, percentages, ratios, data interpretation, financial computations, and numerical series for publicjobs.ie competitions.

Assessment

100 multiple-choice questions

Time Limit

2 hours

Passing Score

70%

Exam Fee

Free (Public Appointments Service (publicjobs.ie))

Irish Numerical Reasoning Exam Content Outline

20%

Basic Arithmetic & Fractions

Fractional calculations, decimals, and basic equations.

20%

Percentages & Ratios

Applying percentages, compound interest, and ratio problems.

25%

Data Interpretation & Charts

Reading and analysing information from graphs, charts, and tables.

20%

Financial Computations

Basic tax, profit/loss, and budget calculations.

15%

Numerical Series & Estimation

Completing number patterns and rapid estimation techniques.

How to Pass the Irish Numerical Reasoning Exam

What You Need to Know

Passing score: 70%
Assessment: 100 multiple-choice questions
Time limit: 2 hours
Exam fee: Free

Keys to Passing

Complete 500+ practice questions
Score 80%+ consistently before scheduling
Focus on highest-weighted sections
Use our AI tutor for tough concepts

Frequently Asked Questions

What is the format of the Irish Numerical Reasoning exam?

The exam consists of 100 multiple-choice questions covering all five content domains.

What is the passing score for the Irish Numerical Reasoning exam?

Candidates must score at least 70% to pass the exam.

116+ Free Irish Numerical Reasoning Practice Questions

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