FRNSW Cognitive Test study materials
FRNSW Cognitive Test study resources

FRNSW Cognitive Test study plan

FRNSW Cognitive Test · Give each week a clear focus.

8 weeks · About 6 hours per week

Week 1

Numerical reasoning & Verbal reasoning

  • Diagnose baseline accuracy in numerical reasoning by completing 40 mixed arithmetic and percentage items under timed conditions and logging error types

  • Drill ratio, proportion and unitary-method problems until you can set up an equation from a word problem in under 45 seconds

  • Build a personal formula sheet covering percentages, averages, rates and unit conversions, and recite it from memory twice

  • Practise verbal reasoning by summarising 10 short passages in one sentence each to isolate main-idea versus detail questions

Your checkpoint

A scored baseline sheet showing percentage correct and a categorised error log for numerical and verbal sections

Week 2

Numerical reasoning

  • Solve 60 numerical word problems covering speed, distance, time and work-rate, timing each set to build pace

  • Convert between fractions, decimals and percentages fluently by completing 50 rapid-fire conversion drills

  • Interpret tables and simple graphs by extracting three data points from each of 15 data sets and answering a derived question

  • Review every wrong answer and rewrite the correct method in your own words before moving on

Your checkpoint

A timed 30-question numerical mock scored and reviewed, with every error reworked correctly on paper

Week 3

Abstract / spatial reasoning

  • Identify rotation, reflection and progression rules in 40 sequence and odd-one-out items, writing the rule for each

  • Practise mental rotation by sketching the rotated version of 20 shapes at 90, 180 and 270 degrees

  • Complete 30 matrix-completion puzzles, articulating whether the rule is positional, additive or transformational

  • Build a checklist of common abstract rules to scan for in the first 20 seconds of each item

Your checkpoint

A rule checklist plus a log of 40 abstract items with the rule named for each

Week 4

Mechanical reasoning & Abstract / spatial reasoning

  • Analyse levers, pulleys and gears by labelling fulcrum, load and effort on 20 diagrams and predicting direction of movement

  • Explain mechanical advantage and gear-ratio calculations and apply them to 15 worked problems

  • Practise spatial reasoning by folding and unfolding 15 paper-fold sequences mentally, then verifying with paper

  • Combine abstract and mechanical practice in a 25-item mixed set under time pressure

Your checkpoint

A mid-point mock across all four domains scored, with accuracy percentages per domain recorded

Week 5

Verbal reasoning & Numerical reasoning

  • Strengthen verbal logic by completing 40 true/false/cannot-say items and justifying each answer from the text only

  • Practise inference and assumption questions by underlining the exact sentence that supports each chosen answer

  • Sharpen numerical estimation by answering 30 questions using approximation before exact calculation

  • Review timing data and identify which question types consume the most time per correct answer

Your checkpoint

A verbal and numerical accuracy report showing improvement against the week 1 baseline

Week 6

Mechanical reasoning & Abstract / spatial reasoning

  • Work through 30 mechanical reasoning items on force, pressure, momentum and simple machines, explaining each answer aloud

  • Practise identifying the direction of rotation in compound gear trains and pulley systems across 15 diagrams

  • Complete 30 spatial visualisation items involving nets, cross-sections and 3D rotation

  • Simulate exam conditions with a 30-minute abstract and mechanical set with no breaks

Your checkpoint

A timed abstract and mechanical mock scored, with a written explanation for every incorrect item

Week 7

Verbal reasoning & Numerical reasoning & Abstract / spatial reasoning & Mechanical reasoning

  • Run two full-length mixed mocks under strict timing and record section-by-section scores

  • Target the weakest two question types with 30 focused practice items each

  • Rehearse a question-skipping strategy to protect time on harder items and log how many you attempt versus complete

  • Review all mock errors and reclassify them as knowledge gaps, careless errors or timing issues

Your checkpoint

Two completed full mocks with a comparison table of scores and a prioritised list of remaining weaknesses

Week 8

Verbal reasoning & Numerical reasoning & Abstract / spatial reasoning & Mechanical reasoning

  • Consolidate by redoing every previously missed question until each is answered correctly without notes

  • Complete three short timed sets across all domains to maintain pace and accuracy

  • Rehearse exam-day logistics including timing checkpoints, calculator or rough-paper rules and rest breaks

  • Finalise a one-page summary sheet of formulas, abstract rules and mechanical principles for last-minute review

Your checkpoint

A final full mock at or above target score plus a completed one-page revision summary

Milestones

Week 2: Numerical accuracy of at least 70% on a timed 30-question set, with error log showing fewer than five careless mistakes

Week 4: All four domains attempted in a single mock with no domain below 60% accuracy

Week 6: Abstract and mechanical accuracy of at least 75% each, with every wrong answer explained in writing

Week 8: Final full mock completed within time limits at or above your target overall score, with all prior errors reworked correctly