Free OAR Practice Test 5 – Officer Aptitude Rating Test Prep 2026
Boost your OAR score with Free OAR Practice Test 5 from our series of Six OAR Practice Test , a focused mock test designed to match the actual OAR style and difficulty.
Take this free OAR practice test with 30 carefully designed questions covering all three OAR sections — Math Skills, Reading Comprehension, and Mechanical Comprehension — so you can check your strengths, find weak spots, and improve your speed before exam day. Each question includes a clear explanation to help you understand the method, not just the answer.
This OAR Practice Test is ideal for learners who want realistic practice, better time management, and a strong review of key OAR concepts. Use it as a full-length practice session or section-by-section revision to build confidence and improve accuracy.
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Test Instructions
No. of Questions: 30
Questions: Multiple choice with 4 options (A, B, C, D)
Review: You can flag questions for review and return to them
Submission: Click “Submit Test” when ready to finish
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Question 1 of 30
1. Question
A triangular sail has a base of 14 feet and a height of 9 feet. What is its area in square feet?
Correct
Area of a triangle = 1/2 × base × height = 1/2 × 14 × 9 = 63 square feet.
Incorrect
Area of a triangle = 1/2 × base × height = 1/2 × 14 × 9 = 63 square feet.
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Question 2 of 30
2. Question
A cylindrical fuel tank has a radius of 3 feet and a height of 10 feet. Approximately what is its volume in cubic feet? (Use π ≈ 3.14)
Correct
Volume of a cylinder = πr²h = 3.14 × 9 × 10 = 282.6 cubic feet.
Incorrect
Volume of a cylinder = πr²h = 3.14 × 9 × 10 = 282.6 cubic feet.
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Question 3 of 30
3. Question
What is the sum of all prime numbers between 10 and 30?
Correct
The primes between 10 and 30 are 11, 13, 17, 19, 23, and 29. Their sum is 11+13+17+19+23+29 = 112.
Incorrect
The primes between 10 and 30 are 11, 13, 17, 19, 23, and 29. Their sum is 11+13+17+19+23+29 = 112.
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Question 4 of 30
4. Question
A sequence begins 2, 6, 18, 54. What is the 7th term?
Correct
Each term is multiplied by 3: term7 = 2 × 3^6 = 2 × 729 = 1458.
Incorrect
Each term is multiplied by 3: term7 = 2 × 3^6 = 2 × 729 = 1458.
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Question 5 of 30
5. Question
A box contains 4 red, 5 blue, and 3 green markers. If one marker is drawn at random, what is the probability it is NOT green?
Correct
Total markers = 12, green markers = 3, so probability NOT green = 9/12 = 3/4.
Incorrect
Total markers = 12, green markers = 3, so probability NOT green = 9/12 = 3/4.
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Question 6 of 30
6. Question
Simplify: (2^3 × 2^4) / 2^5. (^ mean exponent)
Correct
Add exponents in the numerator: 2^7 / 2^5 = 2^2 = 4.
Incorrect
Add exponents in the numerator: 2^7 / 2^5 = 2^2 = 4.
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Question 7 of 30
7. Question
Two numbers have a sum of 42 and a difference of 8. What is the larger number?
Correct
Let the numbers be x and y with x + y = 42 and x – y = 8. Adding the equations gives 2x = 50, so x = 25.
Incorrect
Let the numbers be x and y with x + y = 42 and x – y = 8. Adding the equations gives 2x = 50, so x = 25.
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Question 8 of 30
8. Question
A fuel tank holds 480 gallons and is being drained at a constant rate of 15 gallons per minute, while simultaneously being refilled at 6 gallons per minute. How long until the tank is empty?
Correct
Net drain rate = 15 – 6 = 9 gallons per minute. Time to empty = 480 / 9 ≈ 53.3 minutes.
Incorrect
Net drain rate = 15 – 6 = 9 gallons per minute. Time to empty = 480 / 9 ≈ 53.3 minutes.
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Question 9 of 30
9. Question
A paragraph begins by describing a ship’s outdated communication system, then explains the problems it caused, and finally describes the new system that resolved those problems.
Correct
The paragraph identifies a problem (outdated system and its issues) and then presents a solution (the new system), which is problem-solution organization.
Incorrect
The paragraph identifies a problem (outdated system and its issues) and then presents a solution (the new system), which is problem-solution organization.
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Question 10 of 30
10. Question
A passage describes a difficult training exercise using words like ‘grueling,’ ‘relentless,’ and ‘demanding.’ What is the overall tone of the passage?
Correct
Words such as ‘grueling’ and ‘relentless’ convey a serious, intense tone about the difficulty of the exercise.
Incorrect
Words such as ‘grueling’ and ‘relentless’ convey a serious, intense tone about the difficulty of the exercise.
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Question 11 of 30
11. Question
A sentence reads: ‘The new training schedule, which adds two hours of study time daily, is far too demanding for any cadet to handle.’ What is this statement?
Correct
The added study time is a factual detail, but the claim that it is ‘far too demanding for any cadet’ is a subjective judgment, making this a mix of fact and opinion.
Incorrect
The added study time is a factual detail, but the claim that it is ‘far too demanding for any cadet’ is a subjective judgment, making this a mix of fact and opinion.
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Question 12 of 30
12. Question
A passage argues that physical fitness improves cognitive performance under stress. Which detail would best support this claim?
Correct
Research directly linking fitness to fewer errors under pressure provides concrete evidence supporting the claim about cognitive performance.
Incorrect
Research directly linking fitness to fewer errors under pressure provides concrete evidence supporting the claim about cognitive performance.
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Question 13 of 30
13. Question
A passage states that candidates who simulate exam conditions during practice—including time limits and no notes—report less anxiety and better performance on test day than those who do not. What is the best conclusion?
Correct
The passage directly links simulated exam conditions to lower anxiety and better performance, supporting this general conclusion.
Incorrect
The passage directly links simulated exam conditions to lower anxiety and better performance, supporting this general conclusion.
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Question 14 of 30
14. Question
A 2 kg object is dropped from a height of 5 meters. Ignoring air resistance, approximately what is its speed just before hitting the ground? (Use g = 10 m/s²)
Correct
Using energy conservation, mgh = 1/2 mv², so v = √(2gh) = √(2 × 10 × 5) = √100 = 10 m/s.
Incorrect
Using energy conservation, mgh = 1/2 mv², so v = √(2gh) = √(2 × 10 × 5) = √100 = 10 m/s.
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Question 15 of 30
15. Question
A heavy crate is being pushed across a rough floor at constant speed. What can be concluded about the applied force and the friction force acting on the crate?
Correct
Constant speed means zero net force (no acceleration), so the applied force must exactly balance the opposing friction force.
Incorrect
Constant speed means zero net force (no acceleration), so the applied force must exactly balance the opposing friction force.
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Question 16 of 30
16. Question
A wheel and axle system has a wheel radius of 25 cm and an axle radius of 5 cm. What is the mechanical advantage of this system?
Correct
Mechanical advantage of a wheel and axle equals the radius of the wheel divided by the radius of the axle: 25 / 5 = 5.
Incorrect
Mechanical advantage of a wheel and axle equals the radius of the wheel divided by the radius of the axle: 25 / 5 = 5.
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Question 17 of 30
17. Question
A spring stretches 8 cm when a 4 N force is applied. Using Hooke’s Law, how far will it stretch under a 10 N force, assuming it remains within its elastic limit?
Correct
Hooke’s Law states stretch is proportional to force: spring constant = 4 N / 8 cm = 0.5 N/cm. Stretch at 10 N = 10 / 0.5 = 20 cm.
Incorrect
Hooke’s Law states stretch is proportional to force: spring constant = 4 N / 8 cm = 0.5 N/cm. Stretch at 10 N = 10 / 0.5 = 20 cm.
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Question 18 of 30
18. Question
A block and tackle system requires an input force of 150 N to lift a 600 N load. What is the system’s mechanical advantage?
Correct
Mechanical advantage = output force / input force = 600 / 150 = 4.
Incorrect
Mechanical advantage = output force / input force = 600 / 150 = 4.
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Question 19 of 30
19. Question
A flywheel spins faster than a smaller, lighter wheel connected to it by a belt. If the flywheel slows down, what most directly happens to the smaller wheel’s speed, assuming no belt slippage?
Correct
Connected by a belt with no slippage, both wheels’ surface speeds stay linked, so a decrease in the flywheel’s speed causes a corresponding decrease in the smaller wheel’s speed.
Incorrect
Connected by a belt with no slippage, both wheels’ surface speeds stay linked, so a decrease in the flywheel’s speed causes a corresponding decrease in the smaller wheel’s speed.
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Question 20 of 30
20. Question
Water flows through a pipe that narrows from a wide section to a narrow section. According to the continuity principle, what happens to the water’s speed in the narrow section?
Correct
The continuity principle states that for incompressible fluid flow, a smaller cross-sectional area requires higher flow speed to maintain the same volume flow rate.
Incorrect
The continuity principle states that for incompressible fluid flow, a smaller cross-sectional area requires higher flow speed to maintain the same volume flow rate.
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Question 21 of 30
21. Question
Solve the system: x + y = 15 and 2x − y = 6. What is the value of y?
Correct
Add the two equations: 3x = 21, so x = 7. Substitute back: 7 + y = 15, giving y = 8.
Incorrect
Add the two equations: 3x = 21, so x = 7. Substitute back: 7 + y = 15, giving y = 8.
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Question 22 of 30
22. Question
A savings account holds $2 000 at a simple-interest rate of 5 % per year. What is the total balance after 2 years?
Correct
Simple interest = P × r × t = 2 000 × 0.05 × 2 = $200. Total = $2 000 + $200 = $2 200.
Incorrect
Simple interest = P × r × t = 2 000 × 0.05 × 2 = $200. Total = $2 000 + $200 = $2 200.
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Question 23 of 30
23. Question
A circular hatch cover has a radius of 7 feet. What is its area in square feet? (Use π ≈ 3.14)
Correct
Area = π r² = 3.14 × 49 = 153.86 sq ft.
Incorrect
Area = π r² = 3.14 × 49 = 153.86 sq ft.
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Question 24 of 30
24. Question
30 litres of a 40 % saline solution must be diluted to 25 % by adding pure water. How many litres of water are needed?
Correct
0.40 × 30 = 0.25 × (30 + x) → 12 = 7.5 + 0.25x → x = 18 litres.
Incorrect
0.40 × 30 = 0.25 × (30 + x) → 12 = 7.5 + 0.25x → x = 18 litres.
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Question 25 of 30
25. Question
A vehicle travels 240 miles in 4 hours. At the same speed, how long will it take to travel 360 miles?
Correct
Speed = 240 ÷ 4 = 60 mph. Time = 360 ÷ 60 = 6 hours.
Incorrect
Speed = 240 ÷ 4 = 60 mph. Time = 360 ÷ 60 = 6 hours.
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Question 26 of 30
26. Question
Solve: 2x² − 8 = 0. What are the possible values of x?
Correct
2x² = 8 → x² = 4 → x = ±2.
Incorrect
2x² = 8 → x² = 4 → x = ±2.
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Question 27 of 30
27. Question
A passage describes how a modern warship’s effectiveness depends on integrated systems where sensors, weapons, and communications must operate together seamlessly—failure in one subsystem can compromise the entire mission. What is the main idea?
Correct
The passage focuses on how all subsystems work together and how one failure affects the whole—pointing to interdependence as the central theme.
Incorrect
The passage focuses on how all subsystems work together and how one failure affects the whole—pointing to interdependence as the central theme.
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Question 28 of 30
28. Question
A passage notes that a vessel’s fuel consumption logs showed a 30 % increase over three months, yet mission duration and speed profiles remained unchanged. What can most reasonably be inferred?
Correct
Unchanged mission parameters with rising fuel use strongly suggests a loss of mechanical efficiency, not external factors like price or falsification.
Incorrect
Unchanged mission parameters with rising fuel use strongly suggests a loss of mechanical efficiency, not external factors like price or falsification.
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Question 29 of 30
29. Question
In a passage about damage control, a sentence states that the crew responded with exemplary alacrity, sealing the flooded compartment within minutes. What does ‘alacrity’ most nearly mean?
Correct
Context clues—quick, effective action in an emergency—indicate ‘alacrity’ means prompt, enthusiastic speed.
Incorrect
Context clues—quick, effective action in an emergency—indicate ‘alacrity’ means prompt, enthusiastic speed.
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Question 30 of 30
30. Question
A class-2 lever carries a 300 N load 0.5 m from the fulcrum. The effort arm extends 2 m from the fulcrum. What force is required?
Correct
Moment balance: F × 2 = 300 × 0.5 → F = 150 ÷ 2 = 75 N.
Incorrect
Moment balance: F × 2 = 300 × 0.5 → F = 150 ÷ 2 = 75 N.
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