ADF JOA Numerical case studies
ADF JOA Numerical · Put your knowledge to work in context.
The ADF Job Opportunities Assessment (JOA) is the aptitude testing stage used in Australian Defence Force recruitment to help match applicants to roles that suit their abilities. The numerical component measures how accurately and quickly you work with numbers under time pressure, rather than testing advanced mathematics. Questions typically involve spotting the rule in a number sequence, doing multi-step arithmetic without a calculator, working with percentages, ratios and proportions, reading values from tables and simple graphs, solving practical word problems, and converting or estimating with common units. The content is deliberately general: it reflects the kind of quantitative reasoning used in technical, clerical, logistics and operational roles, so it draws on school-level numeracy rather than specialist knowledge. The ADF JOA Numerical case studies are 5 cases and about 1,732 words.
1Shift Output Series Anomaly
A packing line logs cartons completed per 10-minute block across a 7-block shift. The first four blocks read: 48, 43, 39, 36.
313 words, about 2 min2Discount Stacking on a Bulk Order
A procurement officer buys 240 units at a list price of 18.50 per unit. The supplier offers a trade discount of 12 percent on list, then a further 8 percent on the reduced amount for orders above 200 units.
337 words, about 2 min3Reading a Production Table With a Missing Cell
A factory table records units produced and defect rates by plant for one week. Plant A: 4,000 units, 2.5 percent defective.
381 words, about 2 min4Delivery Run Timing and Fuel Budget
A courier must cover a 168 km route. For the first 96 km the van averages 64 km/h.
342 words, about 2 min5Ratio Split With a Late Adjustment
Three partners agree to split a project surplus of 27,600 in the ratio 5 : 4 : 3. Before payment, a 2,400 correction is added to the surplus because an expense was double-counted.
359 words, about 2 min