Free Practice Questions for Irish Numerical Reasoning
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Sample Irish Numerical Reasoning Practice Questions
Try these sample questions to review concepts for the Irish Numerical Reasoning exam. 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?
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?
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?
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?
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?
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?
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?
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?
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?
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?
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.
Exam sponsor: Public Appointments Service (publicjobs.ie). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.
Assessment
100 multiple-choice questions
Time Limit
2 hours
Passing Score
70%
Reported exam pass rate: ~75%. estimated pass rate This describes exam candidates, not OpenExamPrep users or results from using our resources. Exam sponsor website
Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.
Official sources
Our practice resources: topics covered
We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.
Basic Arithmetic & Fractions
Fractional calculations, decimals, and basic equations.
Percentages & Ratios
Applying percentages, compound interest, and ratio problems.
Data Interpretation & Charts
Reading and analysing information from graphs, charts, and tables.
Financial Computations
Basic tax, profit/loss, and budget calculations.
Numerical Series & Estimation
Completing number patterns and rapid estimation techniques.
Preparing for the Irish Numerical Reasoning Exam
What You Need to Know
- Passing score: 70%
- Assessment: 100 multiple-choice questions
- Time limit: 2 hours
- Exam / certification fees: Free Official sources
Using Our Practice Resources
- Work through all 116 available questions
- Review every answer and explanation
- Track weak areas and revisit them
- 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.