110+ Free ADF JOA Numerical Practice Questions

Prepare for the ADF Job Opportunities Assessment — Numerical Reasoning Practice exam with instant access — no signup required.

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Key Facts: ADF JOA Numerical Exam

Full JOA Questions

ADF aptitude guide

20 mins

Full JOA Time

ADF aptitude guide

3 domains

Numerical, Verbal, Abstract

ADF aptitude guide

Not published

Numerical Subcount

ADF public materials

Role-dependent

Required Standard

ADF Careers

Separate

ADFA Academic Eligibility

ADF Careers

Prepare for a fast mixed-reasoning JOA, not a standalone school-mathematics paper. The official guide confirms 51 questions in 20 minutes and includes numerical, verbal, and abstract reasoning. This independent bank emphasises mathematics: its ten numerical-reasoning items reflect published styles, while its broader algebra, geometry, and trigonometry content is supplementary academic practice rather than official JOA weighting.

Sample ADF JOA Numerical Practice Questions

Try these sample questions to test your ADF JOA Numerical exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 110+ question experience with AI tutoring.

1Evaluate 0.12 ÷ 0.03 without using a calculator.

A.0.4

B.4

C.0.04

D.40

Explanation: Dividing by decimals is simplified by shifting the decimal point. Shifting both numbers two places to the right gives 12 ÷ 3 = 4.

2Calculate the sum of the fractions: 2/3 + 1/4.

A.5/12

B.11/12

C.1/2

D.3/7

Explanation: To add fractions, find the lowest common denominator, which is 12. Convert 2/3 to 8/12 and 1/4 to 3/12, then add to get 11/12.

3A stores report lists 80 items, of which 15% are reserved. How many items are reserved?

A.10

B.8

C.12

D.15

Explanation: To find 15% of 80, calculate 10% which is 8, and 5% which is 4. Summing these values gives 8 + 4 = 12.

4Convert the fraction 5/8 into a decimal.

A.0.75

B.0.825

C.0.58

D.0.625

Explanation: Dividing 5 by 8 yields 0.625. Knowing that 1/8 = 0.125, we can multiply 0.125 by 5 to get 0.625.

5Simplify the ratio 24:36 to its simplest form.

A.4:6

B.3:4

C.2:3

D.1:2

Explanation: Find the highest common factor of 24 and 36, which is 12. Dividing both terms by 12 yields 2:3.

6Evaluate the product of the mixed numbers: 1 1/2 × 2 2/3.

A.4

B.3 1/3

C.4 1/2

D.3 2/3

Explanation: Convert the mixed numbers to improper fractions: 1 1/2 = 3/2 and 2 2/3 = 8/3. Multiplying them gives (3/2) × (8/3) = 24/6 = 4.

7Calculate: 5.4 - 1.85.

A.4.55

B.4.65

C.3.55

D.3.65

Explanation: Align the decimal points, adding a placeholder zero: 5.40 - 1.85. Subtracting gives 3.55.

8A coat price is increased from $80 to $100. Calculate the percentage increase.

A.20%

B.25%

C.30%

D.15%

Explanation: The amount of increase is $100 - $80 = $20. The percentage increase is ($20 / $80) × 100% = 25%.

9Divide $150 in the ratio 2:3:5. What is the largest share?

A.$90

B.$75

C.$50

D.$60

Explanation: The total number of parts is 2 + 3 + 5 = 10. Each part is worth $150 / 10 = $15. The largest share is 5 parts, which is 5 × $15 = $75.

10Determine the Highest Common Factor (HCF) of 48 and 72.

A.8

B.24

C.12

D.16

Explanation: The prime factors are 48 = 2^4 × 3 and 72 = 2^3 × 3^2. The HCF is 2^3 × 3 = 24, which is the largest integer that divides both numbers without a remainder.

About the ADF JOA Numerical Exam

ADF applicants complete the Job Opportunities Assessment, a 20-minute, 51-question aptitude assessment mixing numerical, verbal, and abstract reasoning. ADF Careers does not publish a separate “ADFA Officer Entry Mathematics Test” with 27 questions or an algebra/geometry/trigonometry blueprint.

Questions

51 scored questions

Time Limit

20 minutes

Passing Score

Role-dependent standard; not publicly disclosed

Exam Fee

No separate assessment fee published (Australian Defence Force Careers)

ADF JOA Numerical Exam Content Outline

Independent bank: 25/110

Arithmetic Foundations

Fractions, decimals, percentages, ratios, and calculation; this is site-bank composition, not official JOA weight.

Independent bank: 30/110

Algebra and Indices

Supplementary school-level algebra practice; ADF does not publish it as a separate JOA domain or weight.

Independent bank: 20/110

Geometry

Supplementary geometry practice; ADF does not publish it as a separate JOA domain or weight.

Independent bank: 25/110

Trigonometry

Supplementary trigonometry practice; ADF does not publish it as a separate JOA domain or weight.

Independent bank: 10/110

Numerical Reasoning

Sequence, matrix, rate, time, ratio, percentage, mean, scale, and clock items modelled on the types evidenced by official examples.

How to Pass the ADF JOA Numerical Exam

What You Need to Know

Passing score: Role-dependent standard; not publicly disclosed
Exam length: 51 questions
Time limit: 20 minutes
Exam fee: No separate assessment fee published

Keys to Passing

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

ADF JOA Numerical Study Tips from Top Performers

1Begin with the official ADF guide and example questions so preparation matches the current mixed JOA.

2Build speed in ratios, percentages, sequences, matrices, units, rates, and time calculations.

3Practise verbal and abstract reasoning separately because this maths-focused bank does not cover them.

4Treat the algebra, geometry, and trigonometry sets as supplementary school-mathematics work, not official topic weights.

5Check the academic prerequisites for the exact ADFA degree and role you plan to nominate.

Frequently Asked Questions

What is the current ADF aptitude assessment format?

The official ADF guide describes a 20-minute Job Opportunities Assessment with 51 questions mixing numerical, verbal, and abstract reasoning.

Is there a separate official 27-question ADFA mathematics test?

ADF Careers’ current public materials do not document such a test. They describe the mixed JOA and may require further role-specific testing.

Does ADF publish a numerical syllabus or topic weights?

No numerical subdomain weights are published. Official examples evidence number sequences, matrices, arithmetic, rate, time, ratio, and percentage reasoning.

Do algebra and trigonometry appear in this practice bank?

Yes, as supplementary mathematical preparation. Their site-bank proportions must not be interpreted as an official JOA blueprint.

Does ADFA have academic mathematics prerequisites?

Academic prerequisites depend on the selected UNSW Canberra degree and ADF role. Those entry requirements are separate from the JOA aptitude format.