Irish Numerical Reasoning study plan
Irish Numerical Reasoning · Give each week a clear focus.
8 weeks · About 7 hours per week
Number series and sequences
Classify number series by rule type (arithmetic, geometric, alternating, interleaved, difference-of-difference, square/cube-based) and label 30 given series by type
Compute next-term and missing-term answers for 40 arithmetic and geometric series without a calculator
Derive the rule for 20 difference-of-difference series by writing first and second differences by hand
Time yourself solving 15 mixed series in 20 minutes and log accuracy
Your checkpoint
A 50-item handwritten series log with rule type, working, and answer for each, scored for accuracy
Number series and sequences & Approximation and estimation
Solve 25 interleaved (two-strand) and alternating-operation series, marking which strand each term belongs to
Estimate next-term answers for 20 series by rounding to the nearest convenient value and comparing to the exact answer
Identify and correct your three most frequent error patterns from week 1
Complete a 25-question series set under 30 minutes with at least 80% accuracy
Your checkpoint
A timed 25-question series test with a written error-pattern analysis of every miss
Arithmetic word problems
Translate 20 word problems into a single equation or short chain of operations before solving
Solve 25 multi-step problems involving money, age, mixtures, and sharing, showing each intermediate value
Solve 15 problems with unit mismatches (minutes vs hours, grams vs kilograms) and state the conversion used
Build a one-page checklist of question phrasings that signal each operation
Your checkpoint
A 25-problem worked set with full multi-step solutions and a completed phrasing checklist
Arithmetic word problems & Percentages, ratios and proportions
Solve 20 percentage problems covering increase, decrease, reverse percentage, and successive percentage change
Set up and solve 15 ratio and proportion problems including part-to-whole, sharing, and scaling
Convert 20 fractions, decimals, and percentages fluently in both directions
Complete a 30-question mixed arithmetic and percentage set under 40 minutes
Your checkpoint
A 30-question mixed set scored against a target of 85% or higher
Percentages, ratios and proportions
Solve 20 problems combining ratios with percentages, such as profit share after a percentage change
Solve 15 direct and inverse proportion problems and justify which type applies
Apply the unitary method to 15 problems and verify each answer by a second method
Rank your weakest three sub-skills and redo 10 problems in each
Your checkpoint
A one-page method summary plus 20 solved combined ratio-percentage problems
Data interpretation from tables and charts
Read 6 self-written data tables and extract totals, averages, and percentage shares accurately
Compute percentage change between rows and columns across 20 table-based questions
Answer 15 chart-style questions (bar, line, pie) described in text, showing the arithmetic used
Practise rounding intermediate values only at the final step across 15 questions
Your checkpoint
A 25-question data interpretation set with a full calculation trail for each answer
Speed, distance, time and work-rate problems & Approximation and estimation
Solve 20 speed-distance-time problems including average speed over two legs and unit conversion between km/h and m/s
Solve 15 work-rate problems including combined workers and pipes filling and emptying
Estimate answers to 20 mixed problems within 10% before calculating exactly, then compare
Reduce your average solve time on worked problems by at least 15% versus week 4
Your checkpoint
A 20-problem speed and work-rate set with estimated versus exact answers recorded side by side
Number series and sequences & Arithmetic word problems & Percentages, ratios and proportions & Data interpretation from tables and charts & Speed, distance, time and work-rate problems & Approximation and estimation
Complete two full-length mixed mock tests under strict timing and record per-domain accuracy
Re-solve every question missed in both mocks and write the corrected method
Drill your two lowest-scoring domains with 15 targeted questions each
Finalise a one-page formula and method sheet covering all six domains
Your checkpoint
Two completed timed mocks with per-domain score breakdown and a final one-page formula sheet
Milestones
Week 2: Score 80% or higher on a timed 25-question number series test with no calculator
Week 4: Score 85% or higher on a 30-question mixed arithmetic and percentage set under 40 minutes
Week 6: Answer 20 of 25 data interpretation questions correctly with a written calculation trail for each
Week 8: Achieve 75% or higher overall on both full-length mocks with no domain below 60%